Cheukting/mathqa huggingface dataset:
Question (general): the maximum number of student amoung them 1020 pens and 860 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
Options: a ) 20 , b ) 40 , c ) 60 , d ) 80 , e ) none of these
Rationale: "solution required number of student = h . c . f of 1020 and 860 = 20 . answer a"
Answer: a
Question (general): count the numbers between 10 - 99 which yield a remainder of 3 when divided by 9 and also yield a remainder of 2 when divided by 5 ?
Options: a ) two , b ) five , c ) six , d ) four , e ) one
Rationale: answer = a ) two numbers between 10 - 99 giving remainder 3 when divided by 9 = 12 , 21 , 30 , 39 , 48 , 57 , 66 , 75 , 84 , 93 the numbers giving remainder 2 when divided by 5 = 12 , 57 = 2
Answer: a
Question (general): there were totally 100 men . 80 are married . 75 have t . v , 85 have radio , 70 have a . c . how many men have t . v , radio , a . c and also married ?
Options: a ) 10 , b ) 12 , c ) 13 , d ) 14 , e ) 15
Rationale: "100 - ( 100 - 80 ) - ( 100 - 75 ) - ( 100 - 85 ) - ( 100 - 70 ) = 100 - 20 - 25 - 15 - 30 = 100 - 90 = 10 answer : a"
Answer: a
Question (physics): a boy wanted to calculate his speed on his bike . his starting point was 350 meters from the turning point . he made the round trip 5 times in 30 minutes . what was the boy ' s speed in kilometers per hour ?
Options: a ) 1.75 , b ) 1 , c ) 2.25 , d ) 2.4 , e ) 3.2
Rationale: the distance between the the starting point and the turning point was 350 meters . the boy made the round trip 5 times so that was 10 times he traveled 350 meters . 10 * 350 = 3500 meters or 3.5 km . 30 minutes is half of an hour . divide the 3500 meters in half to put in the right time interval 3500 / 2 = 1750 meters or 1.75 km correct answer is a
Answer: a
Question (gain): if it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 222 responses are needed , what is the minimum number of questionnaires that should be mailed ?
Options: a ) 280 , b ) 370 , c ) 460 , d ) 550 , e ) 640
Rationale: "let x be the minimum number of questionnaires to be mailed . 0.6 x = 222 x = 370 the answer is b ."
Answer: b
Question (physics): to deliver an order on time , a company has to make 25 parts a day . after making 25 parts per day for 3 days , the company started to produce 5 more parts per day , and by the last day of work 100 more parts than planned were produced . how many parts the company made ?
Options: a ) 675 , b ) 778 , c ) 654 , d ) 412 , e ) 589
Rationale: "let x be the number of days the company worked . then 25 x is the number of parts they planned to make . at the new production rate they made : 3 ⋅ 25 + ( x − 3 ) ⋅ 30 = 75 + 30 ( x − 3 ) therefore : 25 x = 75 + 30 ( x − 3 ) − 100 25 x = 75 + 30 x − 90 − 100 190 − 75 = 30 x − 25 115 = 5 x x = 23 so the company worked 23 days and they made 23 ⋅ 25 + 100 = 675 pieces . correct answer is a ) 675"
Answer: a
Question (gain): what annual installment will discharge a debt of rs . 1092 due in 3 years at 12 % simple interest ?
Options: a ) 442 , b ) 441 , c ) 440 , d ) 320 , e ) 532
Rationale: "let the installment be rs . x if he keeps the total amount for 3 years , he have to pay the interest of rs . ( 1092 * 12 * 3 ) / 100 . but he paid rs . x after 1 year . so he need not to pay interest for rs . x for remaining 2 years . i . e he need not to pay rs . ( x * 12 * 2 ) / 100 . and he paid another rs . x after 2 years . so he need not to pay interest for for remaining 1 years . i . e . rs . ( x * 12 * 1 ) / 100 . so the total interest he has to pay is rs . ( ( 1092 * 12 * 3 ) / 100 ) - [ ( ( x * 12 * 2 ) / 100 ) + ( ( x * 12 * 1 ) / 100 ) ] . so , the total amount he has to pay is rs . 1092 + rs . ( ( 1092 * 12 * 3 ) / 100 ) - [ ( ( x * 12 * 2 ) / 100 ) + ( ( x * 12 * 1 ) / 100 ) ] . the total amount he paid = 3 x . ( because he paid rs . x for three times ) 1092 + ( ( 1092 * 12 * 3 ) / 100 ) - [ ( ( x * 12 * 2 ) / 100 ) + ( ( x * 12 * 1 ) / 100 ) ] = 3 x by solving , we will get x = 442 . answer : a"
Answer: a
Question (general): how many integerskgreater than 100 and less than 1100 are there such that if the hundreds and the units digits ofkare reversed , the resulting integer is k + 99 ?
Options: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90
Rationale: numbers will be like 102 = > 201 = 102 + 99 203 = > 302 = 103 + 99 so the hundereth digit and units digit are consecutive where unit digit is bigger than hundred digit . there will be ninet pairs of such numbers for every pair there will 10 numbers like for 12 = > 102 , 112,132 , 142,152 , 162,172 , 182,192 . total = 9 * 10 = 90 hence e .
Answer: e
Question (physics): sandy walked 20 meters towards south . then sandy turned to her left and walked 20 meters . she then turned to her left and walked 20 meters . she then turned to her right and walked 10 meters . what distance is she from the starting point and in which direction ?
Options: a ) 35 m east , b ) 35 m north , c ) 30 m west , d ) 45 m west , e ) 30 m east
Rationale: "the net distance is 20 + 10 = 30 meters to the east . the answer is e ."
Answer: e
Question (other): income and expenditure of a person are in the ratio 3 : 2 . if the income of the person is rs . 21000 , then find his savings ?
Options: a ) 6000 , b ) 7000 , c ) 8000 , d ) 9000 , e ) 10000
Rationale: let the income and the expenditure of the person be rs . 3 x and rs . 2 x respectively . income , 3 x = 21000 = > x = 7000 savings = income - expenditure = 3 x - 2 x = x so , savings = rs . 7000 . answer : b
Answer: b
Question (probability): in how many ways 4 boys and 3 girls can be seated in a row so that they are alternate .
Options: a ) 144 , b ) 288 , c ) 12 , d ) 256 , e ) none
Rationale: "solution : let the arrangement be , b g b g b g b 4 boys can be seated in 4 ! ways . girl can be seated in 3 ! ways . required number of ways , = 4 ! * 3 ! = 144 . answer : option a"
Answer: a
Question (geometry): the ratio of the radius of two circles is 4 : 3 , and then the ratio of their areas is ?
Options: a ) 1 : 8 , b ) 1 : 6 , c ) 1 : 9 , d ) 16 : 9 , e ) 1 : 2
Rationale: "r 1 : r 2 = 4 : 3 π r 12 : π r 22 r 12 : r 22 = 16 : 9 answer : d"
Answer: d
Question (general): in a function , every person shakes hand with every other person . if there was a total of 28 handshakes in the function , how many persons were present in the function ?
Options: a ) 8 , b ) 7 , c ) 2 , d ) 6 , e ) 5
Rationale: suppose there are nn persons present in a function and every person shakes hand with every other person . then , total number of handshakes = nc 2 = n ( n − 1 ) / 2 n ( n − 1 ) = 28 × 2 n ( n − 1 ) = 56 n = 8 answer a 8
Answer: a
Question (general): 3 * 16 + 3 * 17 + 3 * 20 + 11 = ?
Options: a ) 121 , b ) 129 , c ) 138 , d ) 152 , e ) 170
Rationale: "3 * 16 + 3 * 17 + 3 * 20 + 11 = 48 + 51 + 60 + 11 = 170 the answer is e ."
Answer: e
Question (general): if x = - 2 and y = - 4 , what is the value of 5 ( x - y ) ^ 2 - xy ?
Options: a ) 12 , b ) 13 , c ) 15 , d ) 18 , e ) 22
Rationale: "x = - 2 and y = - 4 x - y = - 2 - ( - 4 ) = - 2 + 4 = 2 x * y = - 2 * - 4 = 8 now we apply it in the equation 5 ( x - y ) ^ 2 - xy = 5 ( 2 ) ^ 2 - 8 = = > 5 * 4 - 8 = 20 - 8 = 12 answer : a"
Answer: a
Question (general): on the number line , if x is halfway between - 8 and 4 , and if y is halfway between - 4 and 6 , what number is halfway between x and y ?
Options: a ) - 1.5 , b ) - 0.5 , c ) 0.5 , d ) 1.5 , e ) 2.5
Rationale: "x = - 2 and y = 1 . the answer is b ."
Answer: b
Question (physics): a train speeds past a pole in 15 sec and a platform 120 m long in 25 sec , its length is ?
Options: a ) 100 , b ) 150 , c ) 160 , d ) 170 , e ) 180
Rationale: "let the length of the train be x m and its speed be y m / sec . then , x / y = 15 = > y = x / 15 ( x + 120 ) / 25 = x / 15 = > x = 180 m . answer : option e"
Answer: e
Question (general): a library has an average of 660 visitors on sundays and 240 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is :
Options: a ) 250 , b ) 276 , c ) 280 , d ) 310 , e ) none
Rationale: "since the month begins with sunday , to there will be five sundays in the month average required = ( 660 x 5 + 240 x 25 ) / 30 ) = 310 answer : option d"
Answer: d
Question (gain): mr . riddle invested in fund x and fund y . the total amount she invested , in both funds combined , was $ 200000 . in one year , fund x paid 43 % and fund y paid 28 % . the interest earned in fund y was exactly $ 200 greater than the interest earned in fund x . how much did ms . tom invest in fund x ?
Options: a ) 43 , 870.34 , b ) 56 , 876.45 , c ) 77 , 789.45 , d ) 78 , 450.70 , e ) 87 , 987.34
Rationale: x + y = 200000 0.28 y = 0.43 a + 300 take away decimals first : 28 y + 43 x + 20000 isolate first equation to solve for x ( your goal ) : y = 200000 - y plug in for b : 28 ( 200000 - x ) = 43 x + 30000 5 , 600000 - 28 x = 43 x + 30000 5 , 570000 = 71 x 5 , 570000 / 71 = x 5 , 570000 / 71 = x x = 78 , 450.70 = answer choice d
Answer: d
Question (other): at the faculty of aerospace engineering , 312 students study random - processing methods , 232 students study scramjet rocket engines and 114 students study them both . if every student in the faculty has to study one of the two subjects , how many students are there in the faculty of aerospace engineering ?
Options: a ) 438 , b ) 436 , c ) 430 , d ) 442 , e ) 444
Rationale: 312 + 232 - 114 ( since 112 is counted twice ) = 430 c is the answer
Answer: c
Question (physics): two boats are heading towards each other at constant speeds of 5 miles / hr and 25 miles / hr respectively . they begin at a distance 20 miles from each other . how far are they ( in miles ) one minute before they collide ?
Options: a ) 1 / 12 , b ) 5 / 12 , c ) 1 / 6 , d ) 1 / 2 , e ) 1 / 5
Rationale: "the question asks : how far apart will they be 1 minute = 1 / 60 hours before they collide ? since the combined rate of the boats is 5 + 25 = 30 mph then 1 / 60 hours before they collide they ' ll be rate * time = distance - - > 30 * 1 / 60 = 1 / 2 miles apart . answer : d ."
Answer: d
Question (physics): excluding stoppages , the speed of a train is 45 kmph and including stoppages it is 32 kmph . of how many minutes does the train stop per hour ?
Options: a ) 17 , b ) 83 , c ) 12 , d ) 83 , e ) 28
Rationale: "explanation : t = 13 / 45 * 60 = 17 answer : option a"
Answer: a
Question (physics): a and b together can do a piece of work in 8 days . if a alone can do the same work in 12 days , then b alone can do the same work in ?
Options: a ) 49 , b ) 99 , c ) 24 , d ) 88 , e ) 21
Rationale: b = 1 / 8 – 1 / 2 = 1 / 24 = > 24 days answer : c
Answer: c
Question (general): company z has 48 employees . if the number of employees having birthdays on wednesday is more than the number of employees having birthdays on any other day of the week , each of which have same number of birth - days , what is the minimum number of employees having birthdays on wednesday .
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 12
Rationale: "say the number of people having birthdays on wednesday is x and the number of people having birthdays on each of the other 6 days is y . then x + 6 y = 48 . now , plug options for x . only a and e give an integer value for y . but only for e x > y as needed . answer : e ."
Answer: e
Question (general): in a fuel station the service costs $ 2.05 per car , every liter of fuel costs 0.6 $ . assuming that you fill up 3 mini - vans and 2 trucks , how much money will the fuel cost to all the cars owners total , if a mini - van ' s tank is 65 liters and a truck ' s tank is 120 % bigger and they are all empty - ?
Options: a ) 122.6 $ , b ) 128.9 $ , c ) 243.7 $ , d ) 298.85 $ , e ) 312.12 $
Rationale: "mini van cost = 65 * 0.6 + 2.05 truck capacity = 65 ( 1 + 120 / 100 ) = 143 lts . cost of truck = 143 + 0.6 + 2.05 total cost = 3 * 41.05 ( car ) + 2 * 87.85 ( truck ) = 298.85 answer : d"
Answer: d
Question (general): a two - digit number is such that the product of the digits is 8 . when 18 is added to the number , then the digits are reversed . the number is :
Options: a ) 32 , b ) 24 , c ) 12 , d ) 7 , e ) 45
Rationale: "answer : option b let the ten ' s and unit ' s digit be x and 8 / x respectively . then , ( 10 x + 8 / x ) + 18 = 10 * 8 / x + x 9 x 2 + 18 x - 72 = 0 x 2 + 2 x - 8 = 0 ( x + 4 ) ( x - 2 ) = 0 x = 2 so , ten ' s digit = 2 and unit ' s digit = 4 . hence , required number = 24 ."
Answer: b
Question (gain): by selling 95 pens , a trader gains the cost of 19 pens . find his gain percentage ?
Options: a ) 20 % , b ) 21 % , c ) 22 % , d ) 23 % , e ) 24 %
Rationale: "let the cp of each pen be rs . 1 . cp of 95 pens = rs . 95 profit = cost of 19 pens = rs . 19 profit % = 19 / 95 * 100 = 20 % answer : a"
Answer: a
Question (other): there are 193 items that are members of set u . of these items , 41 are members of set b , 59 are not members of either of set a or set b , and 23 are members of both sets a and b . how many of the members of set u are members of set a ?
Options: a ) 116 , b ) 85 , c ) 94 , d ) 98 , e ) 108
Rationale: "you had the answer almost right . the x = 93 refers to only set a . however what ' s being asked is how many members are part of set a . this will include : 1 . only set a 2 . set a and set b so the answer is set a = 93 + set ab = 93 + 23 = 116 a"
Answer: a
Question (physics): a machine can filled a tank in 25 minutes and another machine can empty it in 50 minutes . if the tank is already half full and both the taps are opened together , then the tank is filled in how many minutes ?
Options: a ) 25 min , b ) 20 min , c ) 10 min , d ) 15 min , e ) 30 min
Rationale: t = 1 / 2 ( 25 * 50 / 50 - 25 ) = 25 minutes tank is filled in 25 minutes answer is a
Answer: a
Question (physics): a hall 36 m long and 15 m broad is to be paved with stones , each measuring 8 dm by 5 dm . the number of stones required is :
Options: a ) 180 , b ) 1800 , c ) 18 , d ) 18000 , e ) 1350
Rationale: "area of the hall = 3600 * 1500 area of each stone = ( 80 * 50 ) therefore , number of stones = ( 3600 * 1500 / 80 * 50 ) = 1350 answer : e"
Answer: e
Question (general): at company x , senior sales representatives visit the home office once every 16 days , and junior sales representatives visit the home office once every 12 days . the number of visits that a junior sales representative makes in a 2 - year period is approximately what percent greater than the number of visits that a senior representative makes in the same period ?
Options: a ) 10 % , b ) 25 % , c ) 33 % , d ) 50 % , e ) 67 %
Rationale: each 48 - day period , senior representatives visit the home office 3 times while junior representatives visit 4 times , thus 33 % more . the answer is c .
Answer: c
Question (general): in n is a positive integer less than 200 , and 14 n / 60 is an integer , then n has how many different positive prime factors q ?
Options: a ) 2 , b ) 3 , c ) 5 , d ) 6 , e ) 8
Rationale: "i like to put the numbers in prime factors so it is easier and faster to visualize . 14 * n / 60 if we write the factors of 14 - - > 2 , 7 , and the factors of 60 - - > 2 , 2 , 3 , 5 , we have ( 2 * 7 * n ) / ( 2 ^ 2 * 3 * 5 ) simplifying 7 * n / ( 2 * 3 * 5 ) the only way the equation above has an integer value is if n has at least the factors 2 , 3 and 5 , so we can simplify again and we have the number 7 . the number could be 2 * 3 * 5 , or 2 * 3 * 5 * 2 , or 2 * 3 * 5 * . . . . . however to be less than 200 we can not add any prime number . 2 * 3 * 5 = 120 if we added the next prime factor 7 , we would have q = 2 * 3 * 5 * 7 = 840 thus , answer b ."
Answer: b
Question (general): the two lines y = x and x = - 9 intersect on the coordinate plane . what is the value of the area of the figure formed by the intersecting lines and the x - axis ?
Options: a ) 32.5 , b ) 36.5 , c ) 40.5 , d ) 44.5 , e ) 48.5
Rationale: the point of intersection is ( - 9 , - 9 ) . the triangle has a base of length 9 and a height of 9 . area = ( 1 / 2 ) * base * height = ( 1 / 2 ) * 9 * 9 = 40.5 the answer is c .
Answer: c
Question (general): at a certain food stand , the price of each apple is 40 ¢ and the price of each orange is 60 ¢ . mary selects a total of 10 apples and oranges from the food stand , and the average ( arithmetic mean ) price of the 10 pieces of fruit is 54 ¢ . how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 50 ¢ ?
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Rationale: "if the average price is 54 , then mary has 7 oranges and 3 apples ( a ratio of 7 : 3 ) . for the average price to be 50 , the ratio should be 1 : 1 . mary must put back 4 oranges . the answer is d ."
Answer: d
Question (probability): a store has 10 bottles of juice , including 5 bottles of apple juice . in the evening , 6 bottles of juice are sold one by one . what is the probability of selling 4 bottles of apple juice among the 6 bottles ? assume that every bottle has an equal chance of being bought .
Options: a ) 2 / 7 , b ) 3 / 11 , c ) 4 / 15 , d ) 5 / 21 , e ) 6 / 25
Rationale: "the total number of ways to sell 6 bottles from 10 is 10 c 6 = 210 . the number of ways to sell 4 bottles of apple juice is 5 c 4 * 5 c 2 = 5 * 10 = 50 p ( selling 4 bottles of apple juice ) = 50 / 210 = 5 / 21 the answer is d ."
Answer: d
Question (general): a student got 71 % in math and 81 % in history . to get an overall average of 75 % , how much should the student get in the third subject ?
Options: a ) 63 % , b ) 75 % , c ) 77 % , d ) 79 % , e ) 81 %
Rationale: "71 + 81 + x = 3 * 75 x = 73 the answer is a ."
Answer: a
Question (general): m and n are the x and y coordinates , respectively , of a point in the coordinate plane . if the points ( m , n ) and ( m + p , n + 9 ) both lie on the line defined by the equation x = ( y / 3 ) - ( 2 / 5 ) , what is the value of p ?
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Rationale: "x = ( y / 3 ) - ( 2 / 5 ) , and so y = 3 x + 6 / 5 . the slope is 3 . ( n + 9 - n ) / ( m + p - m ) = 3 p = 3 the answer is c ."
Answer: c
Question (other): at an international conference , “ red ” world countries and “ blue ” world countries are the only participants . the ratio of “ red ” world participants to “ blue ” world participants is 5 : 5 . if one - third of “ red ” world participants are left - handed and two - thirds of “ blue ” world participants are left - handed , then what is the fraction of the participants who are left - handed ?
Options: a ) 1 / 4 , b ) 1 / 8 , c ) 1 / 6 , d ) 1 / 2 , e ) 1
Rationale: "red : blue = 5 : 5 let red = 5 x and blue = 5 x 1 / 3 of red are left handed = > 1 / 3 * 5 x = 5 x / 3 red left handed 2 / 3 of blue are left handed = > 2 / 3 * 5 x = 10 x / 3 blue left handed fraction of participants who are left handed = total left handed / total participants = ( red left handed + blue left handed ) / total participants = ( 5 x / 3 + 10 x / 3 ) / ( 5 x + 5 x ) = ( 15 x / 30 x ) = 1 / 2 answer : d"
Answer: d
Question (general): what is the remainder when 42 * 49 is divided by 8 ?
Options: a ) 1 , b ) 2 , c ) 4 , d ) 5 , e ) 7
Rationale: "we can make use of the rule : remainder of { ( a * b ) / n } } = remainder of ( a / n ) * remainder of ( b / n ) here remainder of { 42 * 49 ) / 8 } } = remainder of ( 42 / 8 ) * remainder of ( 49 / 8 ) = 2 * 1 = 2 answer : b"
Answer: b
Question (general): 1 + 2 + 3 + . . . + 12 = ?
Options: a ) 76 , b ) 68 , c ) 78 , d ) 66 , e ) 67
Rationale: 1 + 2 + 3 + ⋯ + n = ∑ n = n ( n + 1 ) / 2 1 + 2 + 3 + ⋯ + 12 = n ( n + 1 ) / 2 = ( 12 ( 12 + 1 ) ) / 2 = ( 12 × 13 ) / 2 = 6 × 13 = 78 answer is c
Answer: c
Question (general): the largest 4 digit number exactly divisible by 77 is ?
Options: a ) 9935 , b ) 9933 , c ) 9944 , d ) 9954 , e ) 9960
Rationale: "largest 4 - digit number = 9999 77 ) 9999 ( 129 9933 answer : b"
Answer: b
Question (physics): a room of 6 m 44 cm long and 3 m 00 cm broad is to be paved with square tiles . find the least number of square tiles required to cover the floor .
Options: a ) 12076 , b ) 12070 , c ) 12077 , d ) 12075 , e ) 12074
Rationale: "explanation : area of the room = 644 * 300 sq cm size of largest square tile = h . c . f of 644 cm and 300 cm = 4 cm area of 1 tile = 4 * 4 sq cm no . of tiles required = ( 644 * 300 ) / ( 4 * 4 ) = 12075 answer : d ) 12075"
Answer: d
Question (general): 7 people average age is 30 . youngest person age is 6 . find average of the people when youngest was born .
Options: a ) 23 , b ) 24 , c ) 25 , d ) 26 , e ) 27
Rationale: "average age of people = 30 so have total age = 210 before 7 years we have to deduct each person age by seven years 210 - 42 = 161 so average age would be 161 / 7 = 24 answer : b"
Answer: b
Question (physics): if 4 men can reap 40 acres of land in 15 days , how many acres of land can 16 men reap in 30 days ?
Options: a ) 320 , b ) 240 , c ) 369 , d ) 489 , e ) 125
Rationale: "4 men 40 acres 15 days 16 men ? 30 days 40 * 16 / 4 * 30 / 15 40 * 4 * 2 40 * 8 = 320 answer : a"
Answer: a
Question (general): in the excel manufacturing company , 46 percent of the employees are men . if 60 percent of the employees are unionized and 70 percent of these are men , what percent of the non - union employees are women ?
Options: a ) 90 % , b ) 87.5 % , c ) 66.7 % , d ) 50 % , e ) 36 %
Rationale: lets say there are total 100 employees then men = 46 & women = 54 unionized emp = 60 & non unionized emp = 40 men unionized = . 7 * 60 = 42 women unionized = 18 women non - unionized = 54 - 18 = 36 percentage of women non unionized = 36 / 40 * 100 = 90 % the answer is option a
Answer: a
Question (gain): a library branch originally contained 18360 volumes , 30 % of which were fiction novels . 1 / 3 of the volumes were transferred to another location and 1 / 4 of the volumes transferred were fiction novels . what percent of the remaining collection was fiction novels ?
Options: a ) 2.5 % , b ) 17.67 % , c ) 28.3 % , d ) 45.2 % , e ) 32.5 %
Rationale: "fiction novels = 5,508 transferred to another location = 6,120 transferred fiction novels = 1,530 non transferred fiction novels = 3,978 percent of the remaining collection was fiction novels = 3978 / ( 18360 - 6120 ) * 100 = > 32.5 % hence answer will be ( e )"
Answer: e
Question (general): a man was asked to state his age in years . his reply was , ` ` take my age 6 years hence , multiply it by 6 and subtract 6 times my age 6 years ago and you will know how old i am . ' ' what was the age of the person ?
Options: a ) 18 , b ) 92 , c ) 72 , d ) 26 , e ) 19
Rationale: explanation : let the present age of person be x years . then , 6 ( x + 6 ) - 6 ( x - 6 ) = x < = > ( 6 x + 36 ) - ( 6 x - 36 ) = x < = > x = 72 . . answer : c
Answer: c
Question (general): if the average ( arithmetic mean ) of x and y is 40 , and z – x = 60 , what is the average of y and z ?
Options: a ) 20 , b ) 50 , c ) 65 , d ) 70 , e ) 140
Rationale: "x + y / 2 = 40 = > x + y = 80 x = z - 60 . . . sub this value z - 60 + y = 80 = > z + y = 140 = > z + y / 2 = 70 . answer : d"
Answer: d
Question (gain): find the simple interest on rs . 235 for 3 months at 8 paisa per month ?
Options: a ) s . 57.8 , b ) s . 56.4 , c ) s . 29.3 , d ) s . 33 , e ) s . 74
Rationale: "explanation : i = ( 235 * 3 * 8 ) / 100 = 56.4 answer : option b"
Answer: b
Question (gain): a , b and c started a business with capitals of rs . 8000 , rs . 10000 and rs . 12000 respectively . at the end of the year , the profit share of b is rs . 1800 . the difference between the profit shares of a and c is ?
Options: a ) 720 , b ) 266 , c ) 155 , d ) 600 , e ) 441
Rationale: "ratio of investments of a , b and c is 8000 : 10000 : 12000 = 4 : 5 : 6 and also given that , profit share of b is rs . 1800 = > 5 parts out of 15 parts is rs . 1800 now , required difference is 6 - 4 = 2 parts required difference = 2 / 5 ( 1800 ) = rs . 720 answer : a"
Answer: a
Question (physics): the length of a bridge in meters , which a train 120 - meters long and traveling at 45 km / hr can cross in 30 seconds is ?
Options: a ) 255 , b ) 285 , c ) 315 , d ) 345 , e ) 375
Rationale: "45 km / h = 45000 m / 3600 s = 12.5 m / s in 30 seconds , the train can go 30 ( 12.5 ) = 375 meters let x be the length of the bridge . x + 120 = 375 meters x = 255 meters the answer is a ."
Answer: a