prompt stringclasses 453
values | chosen stringlengths 38 2.18k | rejected stringlengths 45 2.18k |
|---|---|---|
the banker ' s gain of a certain sum due 3 years hence at 10 % per annum is rs . 36 . what is the present worth ?
a ) rs . 400 , b ) rs . 300 , c ) rs . 500 , d ) rs . 350 , e ) none of these
Choose the correct option letter a-e.
| explanation : t = 3 years r = 10 % b . g = rs . 36 bg = tr / 100 * pw 36 = 3 * 10 / 100 * pw pw = rs . 1200 / 3 = rs . 400 answer : a
Final answer: a | solution t = 3 years r = 10 % tgn = 36 tgn = tr 100 ร 10 ร 36 = 100 ร 10 ร 36 = 360 100 ร 10 ร 36 = 100 ร 10 ร 36 = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 ... |
the banker ' s gain of a certain sum due 3 years hence at 10 % per annum is rs . 36 . what is the present worth ?
a ) rs . 400 , b ) rs . 300 , c ) rs . 500 , d ) rs . 350 , e ) none of these
Choose the correct option letter a-e.
| explanation : t = 3 years r = 10 % b . g = rs . 36 bg = tr / 100 * pw 36 = 3 * 10 / 100 * pw pw = rs . 1200 / 3 = rs . 400 answer : a
Final answer: a | explanation : t . d . = ( b . g . * 100 ) / ( r * t ) = ( 36 * 100 ) / ( 10 * 3 ) = rs . 120 present worth = ( 120 - 36 ) = rs . 84 answer : e
Final answer: e |
the banker ' s gain of a certain sum due 3 years hence at 10 % per annum is rs . 36 . what is the present worth ?
a ) rs . 400 , b ) rs . 300 , c ) rs . 500 , d ) rs . 350 , e ) none of these
Choose the correct option letter a-e.
| solution banker ' s gain = txd / 100 = 36 therefore txd = 36 x 100 txd = 3600 therefore present worth = 3600 / 3 = rs . 1200 answer a
Final answer: a | explanation : t . d . = ( b . g . * 100 ) / ( r * t ) = ( 36 * 100 ) / ( 10 * 3 ) = rs . 120 present worth = ( 120 - 36 ) = rs . 84 answer : e
Final answer: e |
the banker ' s gain of a certain sum due 3 years hence at 10 % per annum is rs . 36 . what is the present worth ?
a ) rs . 400 , b ) rs . 300 , c ) rs . 500 , d ) rs . 350 , e ) none of these
Choose the correct option letter a-e.
| solution banker ' s gain = txd / 100 = 36 therefore txd = 36 x 100 txd = 3600 therefore present worth = 3600 / 3 = rs . 1200 answer a
Final answer: a | solution t = 3 years r = 10 % tgn = 36 tgn = tr 100 ร 10 ร 36 = 100 ร 10 ร 36 = 360 100 ร 10 ร 36 = 100 ร 10 ร 36 = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 tgn = 360 ... |
the banker ' s gain of a certain sum due 3 years hence at 10 % per annum is rs . 36 . what is the present worth ?
a ) rs . 400 , b ) rs . 300 , c ) rs . 500 , d ) rs . 350 , e ) none of these
Choose the correct option letter a-e.
| solution banker ' s gain = txd / 100 = 36 therefore txd = 36 x 100 txd = 3600 therefore present worth = 3600 / 3 = rs . 1200 answer a
Final answer: a | explanation : t = 3 years r = 10 % b . g = rs . 36 bg = tr / 100 * pw 36 = 3 * 10 / 100 * pw pw = rs . 1200 / 3 = rs . 400 answer : a
Final answer: a |
average age of students of an adult school is 40 years . 120 new students whose average age is 32 years joined the school . as a result the average age is decreased by 4 years . find the number of students of the school after joining of the new students .
a ) 1200 , b ) 120 , c ) 360 , d ) 240 , e ) none of these
Cho... | let the original no . of students be x . then 40 x + 120 * 32 = ( x + 120 ) 36 40 x + 3840 = 36 x + 4320 4 x = 480 x = 120 . so , new average age = 36 years , new no . of students = x + 120 = 120 + 120 = 240 . answer : d
Final answer: d | explanation : let the original number of students be x . then 40 x + 120 * 32 = ( x + 120 ) 36 x = 360 x = 360 / 36 = 10 . so , new total number of students = 10 + 120 = 130 answer : b
Final answer: b |
average age of students of an adult school is 40 years . 120 new students whose average age is 32 years joined the school . as a result the average age is decreased by 4 years . find the number of students of the school after joining of the new students .
a ) 1200 , b ) 120 , c ) 360 , d ) 240 , e ) none of these
Cho... | explanation : let the original no . of students be x . then 40 x + 120 * 32 = ( x + 120 ) 36 = > 40 x + 3840 = 36 x + 4320 = > 4 x = 480 = > x = 120 . so , new total no . of students = 120 + 120 = 240 . answer : d
Final answer: d | explanation : let the original number of students be x . then 40 x + 120 * 32 = ( x + 120 ) 36 x = 360 x = 360 / 36 = 10 . so , new total number of students = 10 + 120 = 130 answer : b
Final answer: b |
average age of students of an adult school is 40 years . 120 new students whose average age is 32 years joined the school . as a result the average age is decreased by 4 years . find the number of students of the school after joining of the new students .
a ) 1200 , b ) 120 , c ) 360 , d ) 240 , e ) none of these
Cho... | let the original no . of students be x . then 40 x + 120 * 32 = ( x + 120 ) * 36 = > x = 120 hence , the final number of students = ( x + 120 ) = 240 . answer : d
Final answer: d | explanation : let the original number of students be x . then 40 x + 120 * 32 = ( x + 120 ) 36 x = 360 x = 360 / 36 = 10 . so , new total number of students = 10 + 120 = 130 answer : b
Final answer: b |
average age of students of an adult school is 40 years . 120 new students whose average age is 32 years joined the school . as a result the average age is decreased by 4 years . find the number of students of the school after joining of the new students .
a ) 1200 , b ) 120 , c ) 360 , d ) 240 , e ) none of these
Cho... | let the original no . of students be x . then 40 x + 120 * 32 = ( x + 120 ) * 36 = > x = 120 hence , the final number of students = ( x + 120 ) = 240 . answer : d
Final answer: d | explanation : let the original no . of students be x . then 40 x + 120 * 32 = ( x + 120 ) 36 = > 40 x + 3840 = 36 x + 4320 = > 4 x = 480 = > x = 120 . so , new total no . of students = 120 + 120 = 240 . answer : d
Final answer: d |
average age of students of an adult school is 40 years . 120 new students whose average age is 32 years joined the school . as a result the average age is decreased by 4 years . find the number of students of the school after joining of the new students .
a ) 1200 , b ) 120 , c ) 360 , d ) 240 , e ) none of these
Cho... | let the original no . of students be x . then 40 x + 120 * 32 = ( x + 120 ) * 36 = > x = 120 hence , the final number of students = ( x + 120 ) = 240 . answer : d
Final answer: d | let the original no . of students be x . then 40 x + 120 * 32 = ( x + 120 ) 36 40 x + 3840 = 36 x + 4320 4 x = 480 x = 120 . so , new average age = 36 years , new no . of students = x + 120 = 120 + 120 = 240 . answer : d
Final answer: d |
average age of students of an adult school is 40 years . 120 new students whose average age is 32 years joined the school . as a result the average age is decreased by 4 years . find the number of students of the school after joining of the new students .
a ) 1200 , b ) 120 , c ) 360 , d ) 240 , e ) none of these
Cho... | explanation : let the original no . of students be x . then 40 x + 120 * 32 = ( x + 120 ) 36 = > 40 x + 3840 = 36 x + 4320 = > 4 x = 480 = > x = 120 . so , new total no . of students = 120 + 120 = 240 . answer : d
Final answer: d | let the original no . of students be x . then 40 x + 120 * 32 = ( x + 120 ) 36 40 x + 3840 = 36 x + 4320 4 x = 480 x = 120 . so , new average age = 36 years , new no . of students = x + 120 = 120 + 120 = 240 . answer : d
Final answer: d |
sophia finished 2 / 3 of a book . she calculated that she finished 90 more pages than she has yet to read . how long is her book ?
a ) 229 , b ) 270 , c ) 877 , d ) 266 , e ) 281
Choose the correct option letter a-e.
| 2 / 3 x - 1 / 3 x = 90 1 / 3 x = 90 x = 270 answer : b
Final answer: b | let x be the number of pages in the book . she finished 2 / 3 x pages and yet to read x / 3 pages 2 / 3 x - x / 3 = 90 x = 270 answer : b
Final answer: b |
sophia finished 2 / 3 of a book . she calculated that she finished 90 more pages than she has yet to read . how long is her book ?
a ) 229 , b ) 270 , c ) 877 , d ) 266 , e ) 281
Choose the correct option letter a-e.
| 2 / 3 x - 1 / 3 x = 90 1 / 3 x = 90 x = 270 answer : b
Final answer: b | let the total number of pages in the book be x . she finished 2 x / 3 pages and has x / 3 pages yet to read . 2 x / 3 - x / 3 = 90 x = 270 answer : b
Final answer: b |
sophia finished 2 / 3 of a book . she calculated that she finished 90 more pages than she has yet to read . how long is her book ?
a ) 229 , b ) 270 , c ) 877 , d ) 266 , e ) 281
Choose the correct option letter a-e.
| 2 / 3 x - 1 / 3 x = 90 1 / 3 x = 90 x = 270 answer : b
Final answer: b | let x be the total number of pages in the book . she read 2 / 3 x pages and she has 1 / 3 x pages to read . 2 / 3 x = 90 + 1 / 3 x 2 / 3 x - 1 / 3 x = 90 + 1 / 3 x - 1 / 3 x 1 / 3 x = 90 1 / 3 x = 90 1 / 3 x = 90 1 / 3 x = 90 x = 90 รฃ โ 3 x = 270 the answer is b .
Final answer: b |
sophia finished 2 / 3 of a book . she calculated that she finished 90 more pages than she has yet to read . how long is her book ?
a ) 229 , b ) 270 , c ) 877 , d ) 266 , e ) 281
Choose the correct option letter a-e.
| let x be the number of pages in the book . she finished 2 / 3 x pages and yet to read x / 3 pages 2 / 3 x - x / 3 = 90 x = 270 answer : b
Final answer: b | let the total number of pages in the book be x . she finished 2 x / 3 pages and has x / 3 pages yet to read . 2 x / 3 - x / 3 = 90 x = 270 answer : b
Final answer: b |
sophia finished 2 / 3 of a book . she calculated that she finished 90 more pages than she has yet to read . how long is her book ?
a ) 229 , b ) 270 , c ) 877 , d ) 266 , e ) 281
Choose the correct option letter a-e.
| let x be the number of pages in the book . she finished 2 / 3 x pages and yet to read x / 3 pages 2 / 3 x - x / 3 = 90 x = 270 answer : b
Final answer: b | let x be the total number of pages in the book . she read 2 / 3 x pages and she has 1 / 3 x pages to read . 2 / 3 x = 90 + 1 / 3 x 2 / 3 x - 1 / 3 x = 90 + 1 / 3 x - 1 / 3 x 1 / 3 x = 90 1 / 3 x = 90 1 / 3 x = 90 1 / 3 x = 90 x = 90 รฃ โ 3 x = 270 the answer is b .
Final answer: b |
sophia finished 2 / 3 of a book . she calculated that she finished 90 more pages than she has yet to read . how long is her book ?
a ) 229 , b ) 270 , c ) 877 , d ) 266 , e ) 281
Choose the correct option letter a-e.
| let the total number of pages in the book be x . she finished 2 x / 3 pages and has x / 3 pages yet to read . 2 x / 3 - x / 3 = 90 x = 270 answer : b
Final answer: b | let x be the total number of pages in the book . she read 2 / 3 x pages and she has 1 / 3 x pages to read . 2 / 3 x = 90 + 1 / 3 x 2 / 3 x - 1 / 3 x = 90 + 1 / 3 x - 1 / 3 x 1 / 3 x = 90 1 / 3 x = 90 1 / 3 x = 90 1 / 3 x = 90 x = 90 รฃ โ 3 x = 270 the answer is b .
Final answer: b |
120 is what percent of 50 ?
a ) 5 % , b ) 240 % , c ) 50 % , d ) 2 % , e ) 500 %
Choose the correct option letter a-e.
| 120 / 50 = 2.4 = 240 % the answer is b .
Final answer: b | ( 120 / 50 ) * 100 = 240 % answer : b
Final answer: b |
120 is what percent of 50 ?
a ) 5 % , b ) 240 % , c ) 50 % , d ) 2 % , e ) 500 %
Choose the correct option letter a-e.
| 120 / 50 = 2.4 = 240 % the answer is b .
Final answer: b | explanation : let 120 be x % of 50 . then , 120 = ( x / 100 ) * 50 x = 240 option b
Final answer: b |
120 is what percent of 50 ?
a ) 5 % , b ) 240 % , c ) 50 % , d ) 2 % , e ) 500 %
Choose the correct option letter a-e.
| 120 / 50 = 2.4 = 240 % the answer is b .
Final answer: b | let 120 be x % of 50 . then , 120 = ( x / 100 ) * 50 = > x = ( 120 * 100 ) / 50 = > x = 240 . answer : b
Final answer: b
Final answer: b |
120 is what percent of 50 ?
a ) 5 % , b ) 240 % , c ) 50 % , d ) 2 % , e ) 500 %
Choose the correct option letter a-e.
| ( 120 / 50 ) * 100 = 240 % answer : b
Final answer: b | explanation : let 120 be x % of 50 . then , 120 = ( x / 100 ) * 50 x = 240 option b
Final answer: b |
120 is what percent of 50 ?
a ) 5 % , b ) 240 % , c ) 50 % , d ) 2 % , e ) 500 %
Choose the correct option letter a-e.
| ( 120 / 50 ) * 100 = 240 % answer : b
Final answer: b | let 120 be x % of 50 . then , 120 = ( x / 100 ) * 50 = > x = ( 120 * 100 ) / 50 = > x = 240 . answer : b
Final answer: b
Final answer: b |
120 is what percent of 50 ?
a ) 5 % , b ) 240 % , c ) 50 % , d ) 2 % , e ) 500 %
Choose the correct option letter a-e.
| explanation : let 120 be x % of 50 . then , 120 = ( x / 100 ) * 50 x = 240 option b
Final answer: b | let 120 be x % of 50 . then , 120 = ( x / 100 ) * 50 = > x = ( 120 * 100 ) / 50 = > x = 240 . answer : b
Final answer: b
Final answer: b |
there are 10 girls and 20 boys in a classroom . what is the ratio of girls to boys ?
a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 5 , d ) 10 / 30 , e ) 2 / 5
Choose the correct option letter a-e.
| the ratio of girls to boys is 10 / 20 = 1 / 2 the answer is a .
Final answer: a | the ratio of girls to boys is 10 : 20 or 1 : 2 . the answer is a .
Final answer: a |
there are 10 girls and 20 boys in a classroom . what is the ratio of girls to boys ?
a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 5 , d ) 10 / 30 , e ) 2 / 5
Choose the correct option letter a-e.
| the ratio of girls to boys is 10 / 20 = 1 / 2 the answer is a .
Final answer: a | the ratio of girls to boys is 10 : 20 . dividing the ratio by 10 , we get 1 : 2 . answer : a
Final answer: a |
there are 10 girls and 20 boys in a classroom . what is the ratio of girls to boys ?
a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 5 , d ) 10 / 30 , e ) 2 / 5
Choose the correct option letter a-e.
| the ratio of girls to boys is 10 / 20 = 1 / 2 the answer is a .
Final answer: a | number of girls = 10 , number of boys = 20 ratio of girls to boys = 10 : 20 = 10 / 20 = 1 / 2 answer a
Final answer: a |
there are 10 girls and 20 boys in a classroom . what is the ratio of girls to boys ?
a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 5 , d ) 10 / 30 , e ) 2 / 5
Choose the correct option letter a-e.
| the ratio of girls to boys is 10 : 20 or 1 : 2 . the answer is a .
Final answer: a | the ratio of girls to boys is 10 : 20 . dividing the ratio by 10 , we get 1 : 2 . answer : a
Final answer: a |
there are 10 girls and 20 boys in a classroom . what is the ratio of girls to boys ?
a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 5 , d ) 10 / 30 , e ) 2 / 5
Choose the correct option letter a-e.
| the ratio of girls to boys is 10 : 20 or 1 : 2 . the answer is a .
Final answer: a | number of girls = 10 , number of boys = 20 ratio of girls to boys = 10 : 20 = 10 / 20 = 1 / 2 answer a
Final answer: a |
there are 10 girls and 20 boys in a classroom . what is the ratio of girls to boys ?
a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 5 , d ) 10 / 30 , e ) 2 / 5
Choose the correct option letter a-e.
| the ratio of girls to boys is 10 : 20 . dividing the ratio by 10 , we get 1 : 2 . answer : a
Final answer: a | number of girls = 10 , number of boys = 20 ratio of girls to boys = 10 : 20 = 10 / 20 = 1 / 2 answer a
Final answer: a |
an article is bought for rs . 823 and sold for rs . 1000 , find the gain percent ?
a ) 21.4 % , b ) 21.5 % , c ) 21.6 % , d ) 21.7 % , e ) 21.8 %
Choose the correct option letter a-e.
| 823 - - - 177 100 - - - ? = > 21.5 % answer : b
Final answer: b | 823 - - - 177 100 - - - ? = > 21.4 % answer : a
Final answer: a |
an article is bought for rs . 823 and sold for rs . 1000 , find the gain percent ?
a ) 21.4 % , b ) 21.5 % , c ) 21.6 % , d ) 21.7 % , e ) 21.8 %
Choose the correct option letter a-e.
| 823 - - - 177 100 - - - ? = > 21.5 % answer : b
Final answer: b | 823 - - - 177 100 - - - ? = > 21.4 % answer : a
Final answer: a |
an article is bought for rs . 823 and sold for rs . 1000 , find the gain percent ?
a ) 21.4 % , b ) 21.5 % , c ) 21.6 % , d ) 21.7 % , e ) 21.8 %
Choose the correct option letter a-e.
| 823 - - - 177 100 - - - ? = > 21.5 % answer : b
Final answer: b | 823 - - - 177 100 - - - ? = > 21.4 % answer : a
Final answer: a |
6 workers should finish a job in 8 days . after 3 days came 4 workers join them . how many days m do they need to finish the same job ?
a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Choose the correct option letter a-e.
| let x be the number of days the 4 workers need to finish the job . 6 * 8 = 6 * 3 + ( 6 + 4 ) * x 24 = 18 + 10 x x = 3 / 5 days . the answer is a .
Final answer: a | the answer is : c ) 5
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final ans... |
6 workers should finish a job in 8 days . after 3 days came 4 workers join them . how many days m do they need to finish the same job ?
a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Choose the correct option letter a-e.
| let x be the number of days the 4 workers need to finish the job . 6 * 8 = 6 * 3 + ( 6 + 4 ) * x 24 = 18 + 10 x x = 3 / 5 days . the answer is a .
Final answer: a | 6 workers should finish a job in 8 days . after 3 days came 4 workers join them . how many days m do they need to finish the same job ? a ) 3 b ) 4 c ) 5 d ) 6 e ) 7 answer : option d
Final answer: d
Final answer: d
Final answer: d
Final answer: d
Final answer: d
Final answer: d
Final answer: d
Final answer: d
Final a... |
6 workers should finish a job in 8 days . after 3 days came 4 workers join them . how many days m do they need to finish the same job ?
a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Choose the correct option letter a-e.
| 6 x 8 = 48 man days total work . 6 x 3 = 18 man days done . 48 - 18 = 30 man days to go . 10 men now working , so 30 / 10 = 3 days to finish . answer a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final a... | 6 workers should finish a job in 8 days . after 3 days came 4 workers join them . how many days m do they need to finish the same job ? a ) 3 b ) 4 c ) 5 d ) 6 e ) 7 answer : option d
Final answer: d
Final answer: d
Final answer: d
Final answer: d
Final answer: d
Final answer: d
Final answer: d
Final answer: d
Final a... |
6 workers should finish a job in 8 days . after 3 days came 4 workers join them . how many days m do they need to finish the same job ?
a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Choose the correct option letter a-e.
| 6 x 8 = 48 man days total work . 6 x 3 = 18 man days done . 48 - 18 = 30 man days to go . 10 men now working , so 30 / 10 = 3 days to finish . answer a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final a... | the answer is : c ) 5
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final ans... |
6 workers should finish a job in 8 days . after 3 days came 4 workers join them . how many days m do they need to finish the same job ?
a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Choose the correct option letter a-e.
| let x be the number of days the 4 workers need to finish the job . 6 * 8 = 6 * 3 + ( 6 + 4 ) * x 24 = 18 + 10 x x = 3 / 5 days . the answer is a .
Final answer: a | 6 x 8 = 48 man days total work . 6 x 3 = 18 man days done . 48 - 18 = 30 man days to go . 10 men now working , so 30 / 10 = 3 days to finish . answer a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final a... |
j is 25 % less than p and 20 % less than t . t is q % less than p . what is the value of q ?
a ) 93.5 , b ) 90 , c ) 6.75 , d ) 6.25 , e ) 2
Choose the correct option letter a-e.
| let p = 100 , j = 75 and t = 93.75 . j is 20 % less than t . now , t is 6.25 % less than p . answer : d
Final answer: d | j = 0.75 p j = 0.8 t t = 0.8 p = ( 1 - 0.2 ) p q = 20 % answer : e
Final answer: e |
j is 25 % less than p and 20 % less than t . t is q % less than p . what is the value of q ?
a ) 93.5 , b ) 90 , c ) 6.75 , d ) 6.25 , e ) 2
Choose the correct option letter a-e.
| let p = 100 , j = 75 and t = 93.75 . j is 20 % less than t . now , t is 6.25 % less than p . answer : d
Final answer: d | j = 75 / 100 p = 80 / 100 t 100 / 100 t = 75 / 100 p t = 3 / 4 p q = 100 - ( 3 / 4 * 100 ) = 100 - 75 = 25 % answer : e
Final answer: e
Final answer: e
Final answer: e
Final answer: e
Final answer: e
Final answer: e
Final answer: e
Final answer: e
Final answer: e
Final answer: e
Final answer: e
Final answer: e
Final a... |
j is 25 % less than p and 20 % less than t . t is q % less than p . what is the value of q ?
a ) 93.5 , b ) 90 , c ) 6.75 , d ) 6.25 , e ) 2
Choose the correct option letter a-e.
| j = 0.75 p and j = 0.80 t , so 0.75 p = 0.80 t and t = 0.9375 p . so t is 6.25 % less than p . the answer is d .
Final answer: d | j = 0.75 p j = 0.8 t t = 0.8 p = ( 1 - 0.2 ) p q = 20 % answer : e
Final answer: e |
j is 25 % less than p and 20 % less than t . t is q % less than p . what is the value of q ?
a ) 93.5 , b ) 90 , c ) 6.75 , d ) 6.25 , e ) 2
Choose the correct option letter a-e.
| j = 0.75 p and j = 0.80 t , so 0.75 p = 0.80 t and t = 0.9375 p . so t is 6.25 % less than p . the answer is d .
Final answer: d | j = 75 / 100 p = 80 / 100 t 100 / 100 t = 75 / 100 p t = 3 / 4 p q = 100 - ( 3 / 4 * 100 ) = 100 - 75 = 25 % answer : e
Final answer: e
Final answer: e
Final answer: e
Final answer: e
Final answer: e
Final answer: e
Final answer: e
Final answer: e
Final answer: e
Final answer: e
Final answer: e
Final answer: e
Final a... |
j is 25 % less than p and 20 % less than t . t is q % less than p . what is the value of q ?
a ) 93.5 , b ) 90 , c ) 6.75 , d ) 6.25 , e ) 2
Choose the correct option letter a-e.
| let p = 100 , j = 75 and t = 93.75 . j is 20 % less than t . now , t is 6.25 % less than p . answer : d
Final answer: d | j = 0.75 p and j = 0.80 t , so 0.75 p = 0.80 t and t = 0.9375 p . so t is 6.25 % less than p . the answer is d .
Final answer: d |
a student was asked to find 4 / 5 of a number . but the student divided the number by 4 / 5 , thus the student got 36 more than the correct answer . find the number .
a ) 60 , b ) 70 , c ) 80 , d ) 90 , e ) 100
Choose the correct option letter a-e.
| let the number be x . then , according to the question , x * 5 / 4 - 4 / 5 x = 36 x ( 25 / 20 - 16 / 20 ) = 36 9 / 20 x = 36 x = 80 answer is c
Final answer: c | let the number be x . 4 / 5 x - 4 x / 5 = 36 = > 16 x / 25 - 4 x / 5 = 36 = > 4 x / 25 = 36 = > x = 225 / 4 = 60 answer is a .
Final answer: a |
a student was asked to find 4 / 5 of a number . but the student divided the number by 4 / 5 , thus the student got 36 more than the correct answer . find the number .
a ) 60 , b ) 70 , c ) 80 , d ) 90 , e ) 100
Choose the correct option letter a-e.
| let the number be x . then , according to the question , x * 5 / 4 - 4 / 5 x = 36 x ( 25 / 20 - 16 / 20 ) = 36 9 / 20 x = 36 x = 80 answer is c
Final answer: c | let the number be x . 4 / 5 * x - x / ( 4 / 5 ) = 36 4 / 5 * x - 5 / 4 * x = 36 - 36 / 20 * x = 36 x = 36 * 20 / 36 = 20 * 20 = 400 x = 400 / 20 = 20 answer : a
Final answer: a
A and B can do a work in 12 days , B and C in 30 days and C and A in 36 days . In how many days will the work be completed , if all three of t... |
a student was asked to find 4 / 5 of a number . but the student divided the number by 4 / 5 , thus the student got 36 more than the correct answer . find the number .
a ) 60 , b ) 70 , c ) 80 , d ) 90 , e ) 100
Choose the correct option letter a-e.
| let the number be x . then , according to the question , x * 5 / 4 - 4 / 5 x = 36 x ( 25 / 20 - 16 / 20 ) = 36 9 / 20 x = 36 x = 80 answer is c
Final answer: c | let the number be x . ( x / 4 ) / 5 = 4 x / 5 + 36 4 x = 20 x + 720 x = - 720 / 16 = - 45 answer : a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a... |
a train 125 m long passes a man , running at 15 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ?
a ) 60 , b ) 50 , c ) 28 , d ) 26 , e ) 29
Choose the correct option letter a-e.
| speed of the train relative to man = ( 125 / 10 ) m / sec = ( 25 / 2 ) m / sec . [ ( 25 / 2 ) * ( 18 / 5 ) ] km / hr = 45 km / hr . let the speed of the train be x km / hr . then , relative speed = ( x - 15 ) km / hr . x - 15 = 45 = x = 60 km / hr . answer : a
Final answer: a | speed of the train relative to man = ( 125 / 10 ) m / sec = ( 25 / 2 ) m / sec . [ ( 25 / 2 ) * ( 18 / 5 ) ] km / hr = 45 km / hr . let the speed of the train be x km / hr . then , relative speed = ( x - 15 ) km / hr . x - 15 = 45 = = > x = 60 km / hr . answer : a
Final answer: a |
a train 125 m long passes a man , running at 15 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ?
a ) 60 , b ) 50 , c ) 28 , d ) 26 , e ) 29
Choose the correct option letter a-e.
| speed of the train relative to man = ( 125 / 10 ) m / sec = ( 25 / 2 ) m / sec . [ ( 25 / 2 ) * ( 18 / 5 ) ] km / hr = 45 km / hr . let the speed of the train be x km / hr . then , relative speed = ( x - 15 ) km / hr . x - 15 = 45 = x = 60 km / hr . answer : a
Final answer: a | speed of the train relative to man = ( 125 / 10 ) m / sec = ( 25 / 2 ) m / sec . [ ( 25 / 2 ) * ( 18 / 5 ) ] km / hr = 45 km / hr . let the speed of the train be x km / hr . then , relative speed = ( x - 15 ) km / hr . x - 15 = 45 = = > x = 60 km / hr . answer : a
Final answer: a |
a train 125 m long passes a man , running at 15 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ?
a ) 60 , b ) 50 , c ) 28 , d ) 26 , e ) 29
Choose the correct option letter a-e.
| speed of the train relative to man = ( 125 / 10 ) m / sec = ( 25 / 2 ) m / sec . [ ( 25 / 2 ) * ( 18 / 5 ) ] km / hr = 45 km / hr . let the speed of the train be x km / hr . then , relative speed = ( x - 15 ) km / hr . x - 15 = 45 = x = 60 km / hr . answer : a
Final answer: a | speed of the train relative to man = ( 125 / 10 ) m / sec = ( 25 / 2 ) m / sec . [ ( 25 / 2 ) * ( 18 / 5 ) ] km / hr = 45 km / hr . let the speed of the train be x km / hr . then , relative speed = ( x - 15 ) km / hr . x - 15 = 45 = = > x = 60 km / hr . answer : a
Final answer: a |
a train 125 m long passes a man , running at 15 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ?
a ) 60 , b ) 50 , c ) 28 , d ) 26 , e ) 29
Choose the correct option letter a-e.
| speed of the train relative to man = ( 125 / 10 ) m / sec = ( 25 / 2 ) m / sec . [ ( 25 / 2 ) * ( 18 / 5 ) ] km / hr = 45 km / hr . let the speed of the train be x km / hr . then , relative speed = ( x - 15 ) km / hr . x - 15 = 45 = = > x = 60 km / hr . answer : a
Final answer: a | speed of the train relative to man = ( 125 / 10 ) m / sec = ( 25 / 2 ) m / sec . [ ( 25 / 2 ) * ( 18 / 5 ) ] km / hr = 45 km / hr . let the speed of the train be x km / hr . then , relative speed = ( x - 15 ) km / hr . x - 15 = 45 = = > x = 60 km / hr . answer : a
Final answer: a |
a train 125 m long passes a man , running at 15 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ?
a ) 60 , b ) 50 , c ) 28 , d ) 26 , e ) 29
Choose the correct option letter a-e.
| speed of the train relative to man = ( 125 / 10 ) m / sec = ( 25 / 2 ) m / sec . [ ( 25 / 2 ) * ( 18 / 5 ) ] km / hr = 45 km / hr . let the speed of the train be x km / hr . then , relative speed = ( x - 15 ) km / hr . x - 15 = 45 = = > x = 60 km / hr . answer : a
Final answer: a | speed of the train relative to man = ( 125 / 10 ) m / sec = ( 25 / 2 ) m / sec . [ ( 25 / 2 ) * ( 18 / 5 ) ] km / hr = 45 km / hr . let the speed of the train be x km / hr . then , relative speed = ( x - 15 ) km / hr . x - 15 = 45 = = > x = 60 km / hr . answer : a
Final answer: a |
a train 125 m long passes a man , running at 15 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ?
a ) 60 , b ) 50 , c ) 28 , d ) 26 , e ) 29
Choose the correct option letter a-e.
| speed of the train relative to man = ( 125 / 10 ) m / sec = ( 25 / 2 ) m / sec . [ ( 25 / 2 ) * ( 18 / 5 ) ] km / hr = 45 km / hr . let the speed of the train be x km / hr . then , relative speed = ( x - 15 ) km / hr . x - 15 = 45 = = > x = 60 km / hr . answer : a
Final answer: a | speed of the train relative to man = ( 125 / 10 ) m / sec = ( 25 / 2 ) m / sec . [ ( 25 / 2 ) * ( 18 / 5 ) ] km / hr = 45 km / hr . let the speed of the train be x km / hr . then , relative speed = ( x - 15 ) km / hr . x - 15 = 45 = = > x = 60 km / hr . answer : a
Final answer: a |
the average of 15 result is 60 . average of the first 10 of them is 10 and that of the last 10 is 80 . find the 8 th result ?
a ) 35 , b ) 200 , c ) 150 , d ) 250 , e ) 300
Choose the correct option letter a-e.
| sum of all the 15 numbers = 15 * 60 = 900 sum of the first 10 of them = 10 * 10 = 100 sum of the last 10 of them = 10 * 80 = 800 so , the 8 th number = 100 + 800 - 900 = 200 . answer : b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Fina... | the total of 15 results = 15 * 60 = 900 the total of the first 10 results = 10 * 10 = 100 the total of the last 10 results = 10 * 80 = 800 so , the 8 th result = 100 + 800 - 900 = 1000 - 900 = 100 answer : c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer... |
the average of 15 result is 60 . average of the first 10 of them is 10 and that of the last 10 is 80 . find the 8 th result ?
a ) 35 , b ) 200 , c ) 150 , d ) 250 , e ) 300
Choose the correct option letter a-e.
| sum of all the 15 numbers = 15 * 60 = 900 sum of the first 10 of them = 10 * 10 = 100 sum of the last 10 of them = 10 * 80 = 800 so , the 8 th number = 100 + 800 - 900 = 200 . answer : b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Fina... | sum of all the 15 results = 15 * 60 = 900 sum of the first 10 of them = 10 * 10 = 100 sum of the last 10 of them = 10 * 80 = 800 so , the 8 th result = 100 + 800 - 900 = 100 answer : c
Final answer: c |
the average of 15 result is 60 . average of the first 10 of them is 10 and that of the last 10 is 80 . find the 8 th result ?
a ) 35 , b ) 200 , c ) 150 , d ) 250 , e ) 300
Choose the correct option letter a-e.
| sum of all the 15 numbers = 15 * 60 = 900 sum of the first 10 of them = 10 * 10 = 100 sum of the last 10 of them = 10 * 80 = 800 so , the 8 th number = 100 + 800 - 900 = 200 answer : b
Final answer: b | the total of 15 results = 15 * 60 = 900 the total of the first 10 results = 10 * 10 = 100 the total of the last 10 results = 10 * 80 = 800 so , the 8 th result = 100 + 800 - 900 = 1000 - 900 = 100 answer : c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer... |
the average of 15 result is 60 . average of the first 10 of them is 10 and that of the last 10 is 80 . find the 8 th result ?
a ) 35 , b ) 200 , c ) 150 , d ) 250 , e ) 300
Choose the correct option letter a-e.
| sum of all the 15 numbers = 15 * 60 = 900 sum of the first 10 of them = 10 * 10 = 100 sum of the last 10 of them = 10 * 80 = 800 so , the 8 th number = 100 + 800 - 900 = 200 answer : b
Final answer: b | sum of all the 15 results = 15 * 60 = 900 sum of the first 10 of them = 10 * 10 = 100 sum of the last 10 of them = 10 * 80 = 800 so , the 8 th result = 100 + 800 - 900 = 100 answer : c
Final answer: c |
the average of 15 result is 60 . average of the first 10 of them is 10 and that of the last 10 is 80 . find the 8 th result ?
a ) 35 , b ) 200 , c ) 150 , d ) 250 , e ) 300
Choose the correct option letter a-e.
| sum of all the 15 numbers = 15 * 60 = 900 sum of the first 10 of them = 10 * 10 = 100 sum of the last 10 of them = 10 * 80 = 800 so , the 8 th number = 100 + 800 - 900 = 200 answer : b
Final answer: b | sum of all the 15 numbers = 15 * 60 = 900 sum of the first 10 of them = 10 * 10 = 100 sum of the last 10 of them = 10 * 80 = 800 so , the 8 th number = 100 + 800 - 900 = 200 . answer : b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Fina... |
a rectangular floor that measures 15 meters by 18 meters is to be covered with carpet squares that each measure 3 meters by 3 meters . if the carpet squares cost $ 12 apiece , what is the total cost for the number of carpet squares needed to cover the floor ?
a ) $ 200 , b ) $ 240 , c ) $ 360 , d ) $ 960 , e ) $ 1,920... | the area of the floor is 15 * 18 = 270 square meters . the area of each carpet is 3 * 3 = 9 square meters . the total cost is 270 / 9 * 12 = 360 . the answer is c .
Final answer: c | the total area of the floor is 15 * 18 = 270 square meters . the total area of each carpet square is 3 * 3 = 9 square meters . the number of carpets needed is 270 / 9 = 30 . the total cost is 30 * 12 = $ 360 . the answer is c .
Final answer: c |
a rectangular floor that measures 15 meters by 18 meters is to be covered with carpet squares that each measure 3 meters by 3 meters . if the carpet squares cost $ 12 apiece , what is the total cost for the number of carpet squares needed to cover the floor ?
a ) $ 200 , b ) $ 240 , c ) $ 360 , d ) $ 960 , e ) $ 1,920... | the area of the floor is 15 * 18 = 270 square meters . the area of each carpet is 3 * 3 = 9 square meters . the total cost is 270 / 9 * 12 = 360 . the answer is c .
Final answer: c | number of 3 * 3 squares in 15 * 18 = 5 * 6 = 30 . so , 30 * 12 = 360 . answer c .
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer:... |
a rectangular floor that measures 15 meters by 18 meters is to be covered with carpet squares that each measure 3 meters by 3 meters . if the carpet squares cost $ 12 apiece , what is the total cost for the number of carpet squares needed to cover the floor ?
a ) $ 200 , b ) $ 240 , c ) $ 360 , d ) $ 960 , e ) $ 1,920... | the area of the floor is 15 * 18 = 270 square meters . the area of each carpet is 3 * 3 = 9 square meters . the total cost is 270 / 9 * 12 = 360 . the answer is c .
Final answer: c | area of floor = 15 * 18 = 270 area of 1 carpet = 3 * 3 = 9 no . of carpet = 270 / 9 = 30 cost of 30 carpet = 30 * 12 = 360 c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Fin... |
a rectangular floor that measures 15 meters by 18 meters is to be covered with carpet squares that each measure 3 meters by 3 meters . if the carpet squares cost $ 12 apiece , what is the total cost for the number of carpet squares needed to cover the floor ?
a ) $ 200 , b ) $ 240 , c ) $ 360 , d ) $ 960 , e ) $ 1,920... | the total area of the floor is 15 * 18 = 270 square meters . the total area of each carpet square is 3 * 3 = 9 square meters . the number of carpets needed is 270 / 9 = 30 . the total cost is 30 * 12 = $ 360 . the answer is c .
Final answer: c | number of 3 * 3 squares in 15 * 18 = 5 * 6 = 30 . so , 30 * 12 = 360 . answer c .
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer:... |
a rectangular floor that measures 15 meters by 18 meters is to be covered with carpet squares that each measure 3 meters by 3 meters . if the carpet squares cost $ 12 apiece , what is the total cost for the number of carpet squares needed to cover the floor ?
a ) $ 200 , b ) $ 240 , c ) $ 360 , d ) $ 960 , e ) $ 1,920... | the total area of the floor is 15 * 18 = 270 square meters . the total area of each carpet square is 3 * 3 = 9 square meters . the number of carpets needed is 270 / 9 = 30 . the total cost is 30 * 12 = $ 360 . the answer is c .
Final answer: c | area of floor = 15 * 18 = 270 area of 1 carpet = 3 * 3 = 9 no . of carpet = 270 / 9 = 30 cost of 30 carpet = 30 * 12 = 360 c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Fin... |
a rectangular floor that measures 15 meters by 18 meters is to be covered with carpet squares that each measure 3 meters by 3 meters . if the carpet squares cost $ 12 apiece , what is the total cost for the number of carpet squares needed to cover the floor ?
a ) $ 200 , b ) $ 240 , c ) $ 360 , d ) $ 960 , e ) $ 1,920... | number of 3 * 3 squares in 15 * 18 = 5 * 6 = 30 . so , 30 * 12 = 360 . answer c .
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer:... | area of floor = 15 * 18 = 270 area of 1 carpet = 3 * 3 = 9 no . of carpet = 270 / 9 = 30 cost of 30 carpet = 30 * 12 = 360 c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Final answer: c
Fin... |
a vessel of capacity 2 litre has 30 % of alcohol and another vessel of capacity 6 litre had 40 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ?
a ) 30 % . , b ) 71 % . , c ... | quantity of alcohol in the new vessel = 30 % of 2 + 40 % of 6 = 3.6 liters . strength of alcohol in the new vessel = ( 3.6 / 10 ) * 100 % = 36 % . answer : a
Final answer: a | 30 % of 2 litres = 0.6 litres 40 % of 6 litres = 2.4 litres so , total quantity of alcohol is 3 litres . % of alcohol in the mix = 3 / 10 * 100 = 30 % answer : a
Final answer: a |
a vessel of capacity 2 litre has 30 % of alcohol and another vessel of capacity 6 litre had 40 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ?
a ) 30 % . , b ) 71 % . , c ... | quantity of alcohol in the new vessel = 30 % of 2 + 40 % of 6 = 3.6 liters . strength of alcohol in the new vessel = ( 3.6 / 10 ) * 100 % = 36 % . answer : a
Final answer: a | 30 % of 2 litres = 0.6 litres 40 % of 6 litres = 2.4 litres total quantity of alcohol = 3 litres in 10 litre vessel 3 litres is alcohol so , 7 litres is water so , % of alcohol = 30 / 100 = 30 % . answer : a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a... |
a vessel of capacity 2 litre has 30 % of alcohol and another vessel of capacity 6 litre had 40 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ?
a ) 30 % . , b ) 71 % . , c ... | quantity of alcohol in the new vessel = 30 % of 2 + 40 % of 6 = 3.6 liters . strength of alcohol in the new vessel = ( 3.6 / 10 ) * 100 % = 36 % . answer : a
Final answer: a | quantity of alcohol in both vessels = 0.30 * 2 + 0.40 * 6 = 3.0 10 - 8 = 2 liters of water is added . percentage of alcohol in the new vessel = 100 * 3.0 / 10 = 30 % answer : a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answe... |
a vessel of capacity 2 litre has 30 % of alcohol and another vessel of capacity 6 litre had 40 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ?
a ) 30 % . , b ) 71 % . , c ... | 30 % of 2 litres = 0.6 litres 40 % of 6 litres = 2.4 litres so , total quantity of alcohol is 3 litres . % of alcohol in the mix = 3 / 10 * 100 = 30 % answer : a
Final answer: a | 30 % of 2 litres = 0.6 litres 40 % of 6 litres = 2.4 litres total quantity of alcohol = 3 litres in 10 litre vessel 3 litres is alcohol so , 7 litres is water so , % of alcohol = 30 / 100 = 30 % . answer : a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a... |
a vessel of capacity 2 litre has 30 % of alcohol and another vessel of capacity 6 litre had 40 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ?
a ) 30 % . , b ) 71 % . , c ... | 30 % of 2 litres = 0.6 litres 40 % of 6 litres = 2.4 litres so , total quantity of alcohol is 3 litres . % of alcohol in the mix = 3 / 10 * 100 = 30 % answer : a
Final answer: a | quantity of alcohol in both vessels = 0.30 * 2 + 0.40 * 6 = 3.0 10 - 8 = 2 liters of water is added . percentage of alcohol in the new vessel = 100 * 3.0 / 10 = 30 % answer : a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answe... |
a vessel of capacity 2 litre has 30 % of alcohol and another vessel of capacity 6 litre had 40 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ?
a ) 30 % . , b ) 71 % . , c ... | 30 % of 2 litres = 0.6 litres 40 % of 6 litres = 2.4 litres total quantity of alcohol = 3 litres in 10 litre vessel 3 litres is alcohol so , 7 litres is water so , % of alcohol = 30 / 100 = 30 % . answer : a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a... | quantity of alcohol in both vessels = 0.30 * 2 + 0.40 * 6 = 3.0 10 - 8 = 2 liters of water is added . percentage of alcohol in the new vessel = 100 * 3.0 / 10 = 30 % answer : a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answe... |
in 1970 there were 8,902 women stockbrokers in the united states . by 1978 the number had increased to 18,947 . approximately what was the percent increase ?
a ) 45 % , b ) 113 % , c ) 145 % , d ) 150 % , e ) 225 %
Choose the correct option letter a-e.
| the percent increase = 100 % * the increase / the initial number = 100 % * ( 18,947 - 8,902 ) / 8,902 = 113 % the answer is b .
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b... | let the percentage increase be x . then , 8902 ( 1 + x / 100 ) = 18947 = > 1 + x / 100 = 18947 / 8902 = 2.128 = > x / 100 = 2.128 - 1 = 1.128 = > x = 112.8 approximately 113 % . answer : b .
Final answer: b
Find the largest number which divides 245 and 365 leaving the remainder 5 in each case . a ) 12 b ) 21 c ) 25 d ... |
in 1970 there were 8,902 women stockbrokers in the united states . by 1978 the number had increased to 18,947 . approximately what was the percent increase ?
a ) 45 % , b ) 113 % , c ) 145 % , d ) 150 % , e ) 225 %
Choose the correct option letter a-e.
| explanation : the increase was 18,947 - 8,902 = 10,045 . the percent increase was thus 10,045 / 8,902 * 100 % = 113 % approximately . the answer is b .
Final answer: b | let the percentage increase be x . then , 8902 ( 1 + x / 100 ) = 18947 = > 1 + x / 100 = 18947 / 8902 = 2.128 = > x / 100 = 2.128 - 1 = 1.128 = > x = 112.8 approximately 113 % . answer : b .
Final answer: b
Find the largest number which divides 245 and 365 leaving the remainder 5 in each case . a ) 12 b ) 21 c ) 25 d ... |
in 1970 there were 8,902 women stockbrokers in the united states . by 1978 the number had increased to 18,947 . approximately what was the percent increase ?
a ) 45 % , b ) 113 % , c ) 145 % , d ) 150 % , e ) 225 %
Choose the correct option letter a-e.
| ( 18,947 - 8,902 ) / 8,902 = 10,045 / 8,902 = ~ 1.13 or 113 % answer : b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final ans... | let the percentage increase be x . then , 8902 ( 1 + x / 100 ) = 18947 = > 1 + x / 100 = 18947 / 8902 = 2.128 = > x / 100 = 2.128 - 1 = 1.128 = > x = 112.8 approximately 113 % . answer : b .
Final answer: b
Find the largest number which divides 245 and 365 leaving the remainder 5 in each case . a ) 12 b ) 21 c ) 25 d ... |
in 1970 there were 8,902 women stockbrokers in the united states . by 1978 the number had increased to 18,947 . approximately what was the percent increase ?
a ) 45 % , b ) 113 % , c ) 145 % , d ) 150 % , e ) 225 %
Choose the correct option letter a-e.
| explanation : the increase was 18,947 - 8,902 = 10,045 . the percent increase was thus 10,045 / 8,902 * 100 % = 113 % approximately . the answer is b .
Final answer: b | the percent increase = 100 % * the increase / the initial number = 100 % * ( 18,947 - 8,902 ) / 8,902 = 113 % the answer is b .
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b... |
in 1970 there were 8,902 women stockbrokers in the united states . by 1978 the number had increased to 18,947 . approximately what was the percent increase ?
a ) 45 % , b ) 113 % , c ) 145 % , d ) 150 % , e ) 225 %
Choose the correct option letter a-e.
| explanation : the increase was 18,947 - 8,902 = 10,045 . the percent increase was thus 10,045 / 8,902 * 100 % = 113 % approximately . the answer is b .
Final answer: b | ( 18,947 - 8,902 ) / 8,902 = 10,045 / 8,902 = ~ 1.13 or 113 % answer : b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final ans... |
in 1970 there were 8,902 women stockbrokers in the united states . by 1978 the number had increased to 18,947 . approximately what was the percent increase ?
a ) 45 % , b ) 113 % , c ) 145 % , d ) 150 % , e ) 225 %
Choose the correct option letter a-e.
| the percent increase = 100 % * the increase / the initial number = 100 % * ( 18,947 - 8,902 ) / 8,902 = 113 % the answer is b .
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b... | ( 18,947 - 8,902 ) / 8,902 = 10,045 / 8,902 = ~ 1.13 or 113 % answer : b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final answer: b
Final ans... |
what is the number of integers from 1 to 1100 ( inclusive ) that are divisible by neither 11 nor by 35 ?
a ) 884 , b ) 890 , c ) 892 , d ) 910 , e ) 945
Choose the correct option letter a-e.
| number divisible by 11 : 1100 / 11 = 100 number divisible by 35 : 1100 / 35 = 31 number divisible by both 11 and 35 : 1100 / 11 * 35 = 3 number divisible by 11 or 35 : 100 + 31 - 3 = 128 number not divisible by 11 or 35 : 1100 - 128 = 972 answer e
Final answer: e
Final answer: e
Final answer: e
Final answer: e
Final an... | the # of multiples of 35 in the given range is 1100 / 35 = 31 . 2 ( 31 ) = 62 . the # of multiples of 11 * 35 = 385 in the given range is 1100 / 385 = 2 . 2 ( 2 ) = 4 . total = 1100 - 62 - 88 + 4 = 945 . answer : e .
Final answer: e
what is the remainder when 7 ^ 22 is divided by 1000 ? a . 1 b . 37 c . 43 d . 49 e . ... |
what is the number of integers from 1 to 1100 ( inclusive ) that are divisible by neither 11 nor by 35 ?
a ) 884 , b ) 890 , c ) 892 , d ) 910 , e ) 945
Choose the correct option letter a-e.
| number divisible by 11 : 1100 / 11 = 100 number divisible by 35 : 1100 / 35 = 31 number divisible by both 11 and 35 : 1100 / 11 * 35 = 3 number divisible by 11 or 35 : 100 + 31 - 3 = 128 number not divisible by 11 or 35 : 1100 - 128 = 972 answer e
Final answer: e
Final answer: e
Final answer: e
Final answer: e
Final an... | { total } = { neither } + { 11 multiple } + { 35 multiple } - { both } 1100 = neither + 1100 / 11 + 1100 / 35 - 1100 / ( 11 * 35 ) neither = 884 answer : a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Fina... |
what is the number of integers from 1 to 1100 ( inclusive ) that are divisible by neither 11 nor by 35 ?
a ) 884 , b ) 890 , c ) 892 , d ) 910 , e ) 945
Choose the correct option letter a-e.
| number divisible by 11 : 1100 / 11 = 100 number divisible by 35 : 1100 / 35 = 31 number divisible by both 11 and 35 : 1100 / 11 * 35 = 3 number divisible by 11 or 35 : 100 + 31 - 3 = 128 number not divisible by 11 or 35 : 1100 - 128 = 972 answer e
Final answer: e
Final answer: e
Final answer: e
Final answer: e
Final an... | # of multiples of 11 in the given range is ( 1,000 - 11 ) / 11 + 1 = 91 ; # of multiples of 35 in the given range is ( 1,000 - 35 ) / 35 + 1 = 29 ; # of multiples of both 11 and 35 is ( 1,000 - 385 ) / 385 + 1 = 3 . so the # of multiples of either is { total } - { neither } = { total } - { multiples of neither } = 1,10... |
arun makes a popular brand of ice cream in a rectangular shaped bar 6 cm long , 5 cm wide and 2 cm thick . to cut costs , the company had decided to reduce the volume of the bar by 19 % . the thickness will remain same , but the length and width will be decreased by some percentage . the new width will be ,
a ) 33 , b... | 6 * 5 * 2 = 60 cm cube ( 19 % of 60 ) = 11.4 60 - 11.4 = 48.6 = volume of new product 2 * w * l = 48.6 5 * 4.86 = 24.3 5 - 4.86 = 0.14 ( 0.14 * 100 ) = 14 % answer : a
Final answer: a | original volume = 6 * 5 * 2 = 60 cm 3 new volume = 0.81 * 60 = 48.6 cm 3 new width = 48.6 / ( 6 * 2 ) = 4.2 cm decrease in width = 5 - 4.2 = 0.8 decrease % in width = ( 0.8 / 5 ) * 100 = 16 % answer : c
Final answer: c |
arun makes a popular brand of ice cream in a rectangular shaped bar 6 cm long , 5 cm wide and 2 cm thick . to cut costs , the company had decided to reduce the volume of the bar by 19 % . the thickness will remain same , but the length and width will be decreased by some percentage . the new width will be ,
a ) 33 , b... | 6 * 5 * 2 = 60 cm cube ( 19 % of 60 ) = 11.4 60 - 11.4 = 48.6 = volume of new product 2 * w * l = 48.6 5 * 4.86 = 24.3 5 - 4.86 = 0.14 ( 0.14 * 100 ) = 14 % answer : a
Final answer: a | let the new length and width be l cm and w cm 56 = 60 ( l ) ( w ) / 100 l * w = 56 / 60 = 28 / 30 = 14 / 15 14 * 15 = 210 210 = 21 * 10 = 3 * 7 * 10 210 = 21 * 10 = 3 * 7 * 10 = > 21 * 10 = 14 * 15 = 210 = > 3 * 7 * 10 = 14 * 15 = 210 = > 3 * 7 * 10 = 14 * 15 = 210 = > 3 * 7 * 10 = 14 * 15 = 210 answer : e
Final answer... |
arun makes a popular brand of ice cream in a rectangular shaped bar 6 cm long , 5 cm wide and 2 cm thick . to cut costs , the company had decided to reduce the volume of the bar by 19 % . the thickness will remain same , but the length and width will be decreased by some percentage . the new width will be ,
a ) 33 , b... | 6 * 5 * 2 = 60 cm cube ( 19 % of 60 ) = 11.4 60 - 11.4 = 48.6 = volume of new product 2 * w * l = 48.6 5 * 4.86 = 24.3 5 - 4.86 = 0.14 ( 0.14 * 100 ) = 14 % answer : a
Final answer: a | 6 x 5 x 2 = 60 let new length be l cm and new width be w cm l x w x 2 = 60 - 19 / 100 x 60 l x w = 48.6 / 2 = 24.3 6 x 5 = 30 30 - 19 % of 30 = 24.3 let width be x cm and length be y cm x * y = 24.3 6 / x = y / 5 x = 9.04 cm answer : b
Final answer: b |
kim finds a 5 - meter tree branch and marks it off in thirds and fifths . she then breaks the branch along all the markings and removes one piece of every distinct length . what fraction of the original branch remains ?
a ) 8 / 15 , b ) 1 / 2 , c ) 7 / 5 , d ) 3 / 5 , e ) 7 / 5
Choose the correct option letter a-e.
| the fractional parts are 1 / 5 , 1 / 3 , 2 / 5 , 1 / 5 , and 2 / 5 . one of each is removed , and their sum is 1 / 5 + 1 / 3 + 2 / 5 + 1 / 5 + 2 / 5 = 12 / 15 , so 1 - 12 / 15 = 3 / 15 of the branch remains . the answer is d .
Final answer: d | let the branch be 15 meters instead of 5 ( the answer would remain the same but the numbers are smaller and easier to deal with ) . so we have 15 units long branch . branch was marked in thirds and fifths . in thirds : 3 , 6 , 9 , 12 - - > 4 points ; in fifths : 3 , 6 , 9 , 12 - - > 3 points . total of 6 points , not 7... |
kim finds a 5 - meter tree branch and marks it off in thirds and fifths . she then breaks the branch along all the markings and removes one piece of every distinct length . what fraction of the original branch remains ?
a ) 8 / 15 , b ) 1 / 2 , c ) 7 / 5 , d ) 3 / 5 , e ) 7 / 5
Choose the correct option letter a-e.
| fraction of branch marked in thirds = 1 / 3 + 1 / 3 + 1 / 3 = 3 / 3 fraction of branch marked in fifths = 1 / 5 + 1 / 5 + 1 / 5 + 1 / 5 + 1 / 5 = 5 / 5 fraction of branch marked in both thirds and fifths = 1 / 3 + 1 / 3 + 1 / 3 + 1 / 3 + 1 / 3 = 5 / 3 total fraction of branch marked = 3 / 3 + 5 / 5 - 5 / 3 = 3 / 5 frac... | let the branch be 15 meters instead of 5 ( the answer would remain the same but the numbers are smaller and easier to deal with ) . so we have 15 units long branch . branch was marked in thirds and fifths . in thirds : 3 , 6 , 9 , 12 - - > 4 points ; in fifths : 3 , 6 , 9 , 12 - - > 3 points . total of 6 points , not 7... |
kim finds a 5 - meter tree branch and marks it off in thirds and fifths . she then breaks the branch along all the markings and removes one piece of every distinct length . what fraction of the original branch remains ?
a ) 8 / 15 , b ) 1 / 2 , c ) 7 / 5 , d ) 3 / 5 , e ) 7 / 5
Choose the correct option letter a-e.
| the different lengths that we get when we mark a 5 - meter tree branch in thirds and fifths are : 1 / 5 , 1 / 5 , 1 / 5 , 2 / 5 , 2 / 5 , 1 / 3 , 1 / 3 , 2 / 3 , 2 / 3 , 1 1 / 3 , 1 1 / 3 , 1 2 / 3 , 1 2 / 3 , 2 1 / 3 , 2 2 / 3 , 3 1 / 3 , 3 2 / 3 , 4 1 / 3 , 4 2 / 3 , 5 1 / 3 , 5 2 / 3 . one piece of every distinct le... | let the branch be 15 meters instead of 5 ( the answer would remain the same but the numbers are smaller and easier to deal with ) . so we have 15 units long branch . branch was marked in thirds and fifths . in thirds : 3 , 6 , 9 , 12 - - > 4 points ; in fifths : 3 , 6 , 9 , 12 - - > 3 points . total of 6 points , not 7... |
kim finds a 5 - meter tree branch and marks it off in thirds and fifths . she then breaks the branch along all the markings and removes one piece of every distinct length . what fraction of the original branch remains ?
a ) 8 / 15 , b ) 1 / 2 , c ) 7 / 5 , d ) 3 / 5 , e ) 7 / 5
Choose the correct option letter a-e.
| the fractional parts are 1 / 5 , 1 / 3 , 2 / 5 , 1 / 5 , and 2 / 5 . one of each is removed , and their sum is 1 / 5 + 1 / 3 + 2 / 5 + 1 / 5 + 2 / 5 = 12 / 15 , so 1 - 12 / 15 = 3 / 15 of the branch remains . the answer is d .
Final answer: d | fraction of branch marked in thirds = 1 / 3 + 1 / 3 + 1 / 3 = 3 / 3 fraction of branch marked in fifths = 1 / 5 + 1 / 5 + 1 / 5 + 1 / 5 + 1 / 5 = 5 / 5 fraction of branch marked in both thirds and fifths = 1 / 3 + 1 / 3 + 1 / 3 + 1 / 3 + 1 / 3 = 5 / 3 total fraction of branch marked = 3 / 3 + 5 / 5 - 5 / 3 = 3 / 5 frac... |
kim finds a 5 - meter tree branch and marks it off in thirds and fifths . she then breaks the branch along all the markings and removes one piece of every distinct length . what fraction of the original branch remains ?
a ) 8 / 15 , b ) 1 / 2 , c ) 7 / 5 , d ) 3 / 5 , e ) 7 / 5
Choose the correct option letter a-e.
| the fractional parts are 1 / 5 , 1 / 3 , 2 / 5 , 1 / 5 , and 2 / 5 . one of each is removed , and their sum is 1 / 5 + 1 / 3 + 2 / 5 + 1 / 5 + 2 / 5 = 12 / 15 , so 1 - 12 / 15 = 3 / 15 of the branch remains . the answer is d .
Final answer: d | the different lengths that we get when we mark a 5 - meter tree branch in thirds and fifths are : 1 / 5 , 1 / 5 , 1 / 5 , 2 / 5 , 2 / 5 , 1 / 3 , 1 / 3 , 2 / 3 , 2 / 3 , 1 1 / 3 , 1 1 / 3 , 1 2 / 3 , 1 2 / 3 , 2 1 / 3 , 2 2 / 3 , 3 1 / 3 , 3 2 / 3 , 4 1 / 3 , 4 2 / 3 , 5 1 / 3 , 5 2 / 3 . one piece of every distinct le... |
kim finds a 5 - meter tree branch and marks it off in thirds and fifths . she then breaks the branch along all the markings and removes one piece of every distinct length . what fraction of the original branch remains ?
a ) 8 / 15 , b ) 1 / 2 , c ) 7 / 5 , d ) 3 / 5 , e ) 7 / 5
Choose the correct option letter a-e.
| fraction of branch marked in thirds = 1 / 3 + 1 / 3 + 1 / 3 = 3 / 3 fraction of branch marked in fifths = 1 / 5 + 1 / 5 + 1 / 5 + 1 / 5 + 1 / 5 = 5 / 5 fraction of branch marked in both thirds and fifths = 1 / 3 + 1 / 3 + 1 / 3 + 1 / 3 + 1 / 3 = 5 / 3 total fraction of branch marked = 3 / 3 + 5 / 5 - 5 / 3 = 3 / 5 frac... | the different lengths that we get when we mark a 5 - meter tree branch in thirds and fifths are : 1 / 5 , 1 / 5 , 1 / 5 , 2 / 5 , 2 / 5 , 1 / 3 , 1 / 3 , 2 / 3 , 2 / 3 , 1 1 / 3 , 1 1 / 3 , 1 2 / 3 , 1 2 / 3 , 2 1 / 3 , 2 2 / 3 , 3 1 / 3 , 3 2 / 3 , 4 1 / 3 , 4 2 / 3 , 5 1 / 3 , 5 2 / 3 . one piece of every distinct le... |
mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.25 . each pot cost 0.1 more than the next one below it in size . what was the cost , in dollars , of the largest pot ?
a ) $ 1.62 , b ) $ 1.85 , c ) $ 2.00 , d ) $ 2.15 , e ) $ 2.30
Choose the correct option letter a-e.
| let x be the cost of the smallest pot . the cost of the pots are x , x + 0.1 , x + 0.2 , x + 0.3 , x + 0.4 , x + 0.5 . 6 x + 1.5 = 8.25 6 x = 6.75 x = 1.125 the cost of the largest pot is x + 0.5 = 1.625 the answer is a .
Final answer: a | let the cost of the largest pot be x . then the cost of the next pot will be x - . 1 , and so on . the cost of all the pots will be x + ( x - . 1 ) + ( x - . 2 ) + ( x - . 3 ) + ( x - . 4 ) + ( x - . 5 ) = 6 x - 1.5 = 8.25 . solving for x , we get x = 1.62 . the answer is a .
Final answer: a |
mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.25 . each pot cost 0.1 more than the next one below it in size . what was the cost , in dollars , of the largest pot ?
a ) $ 1.62 , b ) $ 1.85 , c ) $ 2.00 , d ) $ 2.15 , e ) $ 2.30
Choose the correct option letter a-e.
| let x be the cost of the smallest pot . the cost of the pots are x , x + 0.1 , x + 0.2 , x + 0.3 , x + 0.4 , x + 0.5 . 6 x + 1.5 = 8.25 6 x = 6.75 x = 1.125 the cost of the largest pot is x + 0.5 = 1.625 the answer is a .
Final answer: a | let x be the cost of the smallest pot . then the cost of the pots are x , x + 0.1 , x + 0.2 , x + 0.3 , x + 0.4 and x + 0.5 . therefore , x + x + 0.1 + x + 0.2 + x + 0.3 + x + 0.4 + x + 0.5 = 8.25 6 x + 1.5 = 8.25 6 x = 6.75 x = 1.125 the cost of the largest pot is x + 0.5 = 1.125 + 0.5 = 1.625 a
Final answer: a |
mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.25 . each pot cost 0.1 more than the next one below it in size . what was the cost , in dollars , of the largest pot ?
a ) $ 1.62 , b ) $ 1.85 , c ) $ 2.00 , d ) $ 2.15 , e ) $ 2.30
Choose the correct option letter a-e.
| let x be the cost of the smallest pot . the cost of the pots are x , x + 0.1 , x + 0.2 , x + 0.3 , x + 0.4 , x + 0.5 . 6 x + 1.5 = 8.25 6 x = 6.75 x = 1.125 the cost of the largest pot is x + 0.5 = 1.625 the answer is a .
Final answer: a | let the cost of the largest pot be x . then , x + ( x - 0.1 ) + ( x - 0.2 ) + ( x - 0.3 ) + ( x - 0.4 ) + ( x - 0.5 ) = 8.25 6 x - 1.5 = 8.25 6 x = 9.75 x = 1.625 answer : a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answ... |
mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.25 . each pot cost 0.1 more than the next one below it in size . what was the cost , in dollars , of the largest pot ?
a ) $ 1.62 , b ) $ 1.85 , c ) $ 2.00 , d ) $ 2.15 , e ) $ 2.30
Choose the correct option letter a-e.
| let the cost of the largest pot be x . then the cost of the next pot will be x - . 1 , and so on . the cost of all the pots will be x + ( x - . 1 ) + ( x - . 2 ) + ( x - . 3 ) + ( x - . 4 ) + ( x - . 5 ) = 6 x - 1.5 = 8.25 . solving for x , we get x = 1.62 . the answer is a .
Final answer: a | let x be the cost of the smallest pot . then the cost of the pots are x , x + 0.1 , x + 0.2 , x + 0.3 , x + 0.4 and x + 0.5 . therefore , x + x + 0.1 + x + 0.2 + x + 0.3 + x + 0.4 + x + 0.5 = 8.25 6 x + 1.5 = 8.25 6 x = 6.75 x = 1.125 the cost of the largest pot is x + 0.5 = 1.125 + 0.5 = 1.625 a
Final answer: a |
mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.25 . each pot cost 0.1 more than the next one below it in size . what was the cost , in dollars , of the largest pot ?
a ) $ 1.62 , b ) $ 1.85 , c ) $ 2.00 , d ) $ 2.15 , e ) $ 2.30
Choose the correct option letter a-e.
| let the cost of the largest pot be x . then the cost of the next pot will be x - . 1 , and so on . the cost of all the pots will be x + ( x - . 1 ) + ( x - . 2 ) + ( x - . 3 ) + ( x - . 4 ) + ( x - . 5 ) = 6 x - 1.5 = 8.25 . solving for x , we get x = 1.62 . the answer is a .
Final answer: a | let the cost of the largest pot be x . then , x + ( x - 0.1 ) + ( x - 0.2 ) + ( x - 0.3 ) + ( x - 0.4 ) + ( x - 0.5 ) = 8.25 6 x - 1.5 = 8.25 6 x = 9.75 x = 1.625 answer : a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answ... |
mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.25 . each pot cost 0.1 more than the next one below it in size . what was the cost , in dollars , of the largest pot ?
a ) $ 1.62 , b ) $ 1.85 , c ) $ 2.00 , d ) $ 2.15 , e ) $ 2.30
Choose the correct option letter a-e.
| let x be the cost of the smallest pot . then the cost of the pots are x , x + 0.1 , x + 0.2 , x + 0.3 , x + 0.4 and x + 0.5 . therefore , x + x + 0.1 + x + 0.2 + x + 0.3 + x + 0.4 + x + 0.5 = 8.25 6 x + 1.5 = 8.25 6 x = 6.75 x = 1.125 the cost of the largest pot is x + 0.5 = 1.125 + 0.5 = 1.625 a
Final answer: a | let the cost of the largest pot be x . then , x + ( x - 0.1 ) + ( x - 0.2 ) + ( x - 0.3 ) + ( x - 0.4 ) + ( x - 0.5 ) = 8.25 6 x - 1.5 = 8.25 6 x = 9.75 x = 1.625 answer : a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answer: a
Final answ... |
in the above number , a and b represent the tens and units digits , respectively . if the above number is divisible by 45 , what is the greatest possible value of b x a ?
a ) 0 , b ) 5 , c ) 10 , d ) 15 , e ) 20
Choose the correct option letter a-e.
| for a number to be divisible by 45 , it must be divisible by 5 and 9 . the sum of the digits must be a multiple of 9 and the units digit must be 0 or 5 . in this case , a must be 5 . b must be 0 or 5 . the greatest value for a * b is 5 * 5 = 25 the answer is e .
Final answer: e
Final answer: e | 45 = 5 * 9 so the number should be divisible by 5 and 9 b = 0 or 5 we are looking for the greatest value , so b = 5 now the number should be divisible by 9 - > sum of the digits should be divisible by 9 so the max number a could be is 9 a * b = 5 * 9 = 45 the answer is d .
Final answer: d
Final answer: d |
in the above number , a and b represent the tens and units digits , respectively . if the above number is divisible by 45 , what is the greatest possible value of b x a ?
a ) 0 , b ) 5 , c ) 10 , d ) 15 , e ) 20
Choose the correct option letter a-e.
| for a number to be divisible by 45 , it must be divisible by 5 and 9 . the sum of the digits must be a multiple of 9 and the units digit must be 0 or 5 . in this case , a must be 5 . b must be 0 or 5 . the greatest value for a * b is 5 * 5 = 25 the answer is e .
Final answer: e
Final answer: e | a = 10000 + 1000 + 100 + 10 + 100 b b is divisible by 5 , so b = 0 or 5 a is divisible by 5 and 9 a = 10000 + 1000 + 100 + 10 + 100 b = 11110 + b we have 2 choices for b : 0 or 5 if b = 0 , the sum of the digits is 4 . this is not divisible by 9 , so this is not a solution . if b = 5 , the sum of the digits is 9 . this... |
in the above number , a and b represent the tens and units digits , respectively . if the above number is divisible by 45 , what is the greatest possible value of b x a ?
a ) 0 , b ) 5 , c ) 10 , d ) 15 , e ) 20
Choose the correct option letter a-e.
| 55 ab is divisible by 45 . hence it is divisible by 5 and 9 . . 55 ab is divisible by 5 . hence , the units digit , b , is 0 or 5 55 ab is divisible by 9 . hence the sum of digits a + b + 5 + 5 is divisible by 9 . . a + b is 5 or 14 55 ab is divisible by 9 and 5 . hence the greatest possible value of b x a = 5 * 5 = 25... | a = 10000 + 1000 + 100 + 10 + 100 b b is divisible by 5 , so b = 0 or 5 a is divisible by 5 and 9 a = 10000 + 1000 + 100 + 10 + 100 b = 11110 + b we have 2 choices for b : 0 or 5 if b = 0 , the sum of the digits is 4 . this is not divisible by 9 , so this is not a solution . if b = 5 , the sum of the digits is 9 . this... |
in the above number , a and b represent the tens and units digits , respectively . if the above number is divisible by 45 , what is the greatest possible value of b x a ?
a ) 0 , b ) 5 , c ) 10 , d ) 15 , e ) 20
Choose the correct option letter a-e.
| 55 ab is divisible by 45 . hence it is divisible by 5 and 9 . . 55 ab is divisible by 5 . hence , the units digit , b , is 0 or 5 55 ab is divisible by 9 . hence the sum of digits a + b + 5 + 5 is divisible by 9 . . a + b is 5 or 14 55 ab is divisible by 9 and 5 . hence the greatest possible value of b x a = 5 * 5 = 25... | 45 = 5 * 9 so the number should be divisible by 5 and 9 b = 0 or 5 we are looking for the greatest value , so b = 5 now the number should be divisible by 9 - > sum of the digits should be divisible by 9 so the max number a could be is 9 a * b = 5 * 9 = 45 the answer is d .
Final answer: d
Final answer: d |
in the above number , a and b represent the tens and units digits , respectively . if the above number is divisible by 45 , what is the greatest possible value of b x a ?
a ) 0 , b ) 5 , c ) 10 , d ) 15 , e ) 20
Choose the correct option letter a-e.
| for a number to be divisible by 45 , it must be divisible by 5 and 9 . the sum of the digits must be a multiple of 9 and the units digit must be 0 or 5 . in this case , a must be 5 . b must be 0 or 5 . the greatest value for a * b is 5 * 5 = 25 the answer is e .
Final answer: e
Final answer: e | 55 ab is divisible by 45 . hence it is divisible by 5 and 9 . . 55 ab is divisible by 5 . hence , the units digit , b , is 0 or 5 55 ab is divisible by 9 . hence the sum of digits a + b + 5 + 5 is divisible by 9 . . a + b is 5 or 14 55 ab is divisible by 9 and 5 . hence the greatest possible value of b x a = 5 * 5 = 25... |
the profit obtained by selling an article for rs . 57 is the same as the loss obtained by selling it for rs . 43 . what is the cost price of the article ?
a ) rs . 40 , b ) rs . 50 , c ) rs . 49 , d ) rs . 59 , e ) none of these
Choose the correct option letter a-e.
| let the cost price of the article be rs . x . 57 โ x = x โ 43 2 x = 100 x = 50 . answer : b
Final answer: b | explanation : let the cost price of the article be rs . x . 57 โ x = x โ 43 2 x = 100 x = 50 answer : b
Final answer: b |
the profit obtained by selling an article for rs . 57 is the same as the loss obtained by selling it for rs . 43 . what is the cost price of the article ?
a ) rs . 40 , b ) rs . 50 , c ) rs . 49 , d ) rs . 59 , e ) none of these
Choose the correct option letter a-e.
| let the cost price of the article be rs . x . 57 โ x = x โ 43 2 x = 100 x = 50 . answer : b
Final answer: b | solution : let the cost price of the article be rs . x . then , 57 - x = x - 43 2 x = 100 x = 50 . answer : b
Final answer: b |
the profit obtained by selling an article for rs . 57 is the same as the loss obtained by selling it for rs . 43 . what is the cost price of the article ?
a ) rs . 40 , b ) rs . 50 , c ) rs . 49 , d ) rs . 59 , e ) none of these
Choose the correct option letter a-e.
| let the cost price of the article be rs . x . 57 โ x = x โ 43 2 x = 100 x = 50 . answer : b
Final answer: b | solution let the cost price of the article be rs . c . profit obtained by selling the article for rs . 57 = cp of the article - cp of the article + rs . 57 = rs . ( 57 - c ) loss obtained by selling the article for rs . 43 = cp of the article - cp of the article + rs . 43 = rs . ( c - 43 ) given , profit obtained by se... |
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