Cheukting/mathqa huggingface dataset:
Question (gain): a reduction of 30 % in the price of oil enables a house wife to obtain 9 kgs more for rs . 900 , what is the reduced price for kg ?
Options: a ) 72 , b ) 27 , c ) 40 , d ) 30 , e ) 20
Rationale: "900 * ( 30 / 100 ) = 270 - - - - 9 ? - - - - 1 = > rs . 30 answer : d"
Answer: d
Question (probability): in how many ways 6 boys and 4 girls can be seated in a row so that they are alternative ?
Options: a ) 14420 , b ) 12620 , c ) 17280 , d ) 21200 , e ) 24560
Rationale: "6 boys can be seated in 6 ! 4 girls can be seated in 4 ! required number = 6 ! 4 ! = 17280 answer is c"
Answer: c
Question (general): total dinning bill of 7 people was $ 139.00 and 10 % tip divided the bill evenly ? what is the bill amount each person shared .
Options: a ) 21.84 , b ) 22.84 , c ) 23.84 , d ) 24.84 , e ) 25.84
Rationale: "dinner bill of 7 person = 139 + 10 % tip so , 10 % of 139 = ( 139 * 10 ) / 100 = 13.9 so , the actual total amount = 139 + 13.9 = $ 152.9 so per head bill = 152.9 / 7 = $ 21.84 answer : a"
Answer: a
Question (general): city x has a population 3 times as great as the population of city y , which has a population twice as great as the population of city z . what is the ratio of the population of city x to the population of city z ?
Options: a ) 1 : 8 , b ) 1 : 4 , c ) 2 : 1 , d ) 6 : 1 , e ) 8 : 1
Rationale: "x = 3 y , y = 2 * z x : y , y : z 3 : 1 , 2 : 1 6 : 2 , 2 : 1 so , x : z = 6 : 1 ( d )"
Answer: d
Question (probability): in how many ways can 22 books on english and 20 books on hindi be placed in a row on a shelf so that two books on hindi may not be together ?
Options: a ) 4586 , b ) 5896 , c ) 2415 , d ) 1771 , e ) 1881
Rationale: "in order that two books on hindi are never together , we must place all these books as under : h e h e h e h … . . h e h where h denotes the position of hindi book and e that of english book . since there are 22 books on english , the number of places marked e are 23 . now , 20 places out of 23 can be chosen in 23 c 20 = 23 c 3 = 23 * 22 * 21 3 * 2 * 1 = 1771 ways . hence the number of ways = 1771 ways answer : d"
Answer: d
Question (general): what is the dividend ? the divisor is 800 , the quotient is 594 , and the remainder is - 968 .
Options: a ) 6623 , b ) 43036 , c ) 51515 , d ) 474232 , e ) 2025
Rationale: dividend = ? ? = d * q + r ? = 800 * 594 + - 968 ? = 475,200 + - 968 ? = 474,232
Answer: d
Question (physics): working independently , tina can do a certain job in 12 hours . working independently , ann can do the same job in 9 hours . if tina works independently at the job for 8 hours and then ann works independently , how many hours will it take ann to complete the remainder of the jobs ?
Options: a ) 2 / 3 , b ) 3 / 4 , c ) 1 , d ) 2 , e ) 3
Rationale: work done by tina in 1 hr = 1 / 12 work done by tina in 8 hr = 1 / 12 * 8 which is 2 / 3 now , the remaining work is 1 / 3 which is completed by ann in 1 / 3 * 9 which is 3 hr answer : e
Answer: e
Question (general): sum of 24 odd numbers is ?
Options: a ) 572 , b ) 573 , c ) 574 , d ) 575 , e ) 576
Rationale: "sum of 1 st n odd no . s = 1 + 3 + 5 + 7 + . . . = n ^ 2 so , sum of 1 st 24 odd numbers = 24 ^ 2 = 576 answer : e"
Answer: e
Question (general): set x consists of all two - digit primes and set y consists of all positive odd multiples of 9 less than 100 . if the two sets are combined into one , what will be the range of the new set ?
Options: a ) 84 , b ) 89 , c ) 90 , d ) 92 , e ) 95
Rationale: "set x = { 11 , 13 , 17 , . . . . . . . . . . . . . , 83 , 89 , 97 } set y = { 9 , 27 , 45 , . . . . . . . . . . . . . . . , 63 , 81 , 99 } combining two sets , say set z set z = { 9 , 11 , 13 , 17 , 27 , . . . . . . . . . . . . . . . . . . . , 63 , 81 , 83 , 89 , 97,99 } range = max value - min value range ( z ) = 99 - 9 = 90 oa c is the answer ."
Answer: c
Question (other): the duplicate ratio of 6 : 4 is ?
Options: a ) 1 : 2 , b ) 9 : 4 , c ) 1 : 8 , d ) 1 : 18 , e ) 1 : 13
Rationale: "36 ^ 2 : 4 ^ 2 = 36 : 16 = 9 : 4 answer : b"
Answer: b
Question (general): find 4 + 7 + 10 + 13 + 16 + . . . up to 20 terms
Options: a ) 650 , b ) 640 , c ) 630 , d ) 620 , e ) 610
Rationale: a = 4 d = 7 – 4 = 3 sum of first 20 terms , s 20 answer is a
Answer: a
Question (other): there are 10 slate rocks , 11 pumice rocks , and 4 granite rocks randomly distributed in a certain field . if 2 rocks are chosen at random and without replacement , what is the probability that both rocks will be slate rocks ?
Options: a ) 3 / 20 , b ) 5 / 26 , c ) 7 / 34 , d ) 9 / 37 , e ) 11 / 49
Rationale: "10 / 25 * 9 / 24 = 3 / 20 the answer is a ."
Answer: a
Question (gain): if 100 % of j is equal to 25 % of k , 150 % of k is equal to 50 % of l , and 125 % of l is equal to 75 % of m , then 20 % of m is equal to what percent of 200 % of j ?
Options: a ) 0.35 , b ) 3.5 , c ) 350 , d ) 35 , e ) 3500
Rationale: "imo answer should be 350 . . . consider j = 10 , then k = 50 , l = 150 and m = 350 . . . . 20 % of 350 , comes out to be 70 . . . . 200 % of 10 is 20 . . . . ( 70 * 100 ) / 20 = 350 . . . . ans : c"
Answer: c
Question (physics): a room of 5 m 44 cm long and 3 m 74 cm broad is to be paved with squre tiles . find the least number of squre tiles required to cover the floor .
Options: a ) 233 , b ) 877 , c ) 279 , d ) 176 , e ) 291
Rationale: "explanation : area of the room = 544 * 374 sq cm size of largest square tile = h . c . f of 544 cm and 374 cm = 34 cm area of 1 tile = 34 * 34 sq cm no . of tiles required = ( 544 * 374 ) / ( 34 * 34 ) = 176 answer : d ) 176"
Answer: d
Question (other): 5 % of men have unlisted phone numbers and 4 % of women have unlisted phone numbers . population ratio of men : women in the city of gpuzzles is 4 : 3 . if we select randomly 100 people from the phone directory , can you tell us how many people selected will definitely have unlisted phone numbers ?
Options: a ) 0 % , b ) 1 % , c ) 2 % , d ) 3 % , e ) 4 %
Rationale: solution : 0 % explanation : in the number is in the phone directory , it means the number is listed and therefore if we pick any number from phone directory than number is surely listed . answer a
Answer: a
Question (general): how many different values of positive integer x , for which | x + 7 | < x , are there ?
Options: a ) 0 , b ) 2 , c ) 3 , d ) 8 , e ) 16
Rationale: "answer a i opted to put the random value option . i used 0 , 7 , - 7 and the the extreme of 30 and - 30 . . i was able to solve it in 1 : 09 b"
Answer: b
Question (geometry): you buy a piece of land with an area of â ˆ š 100 , how long is one side of the land plot ?
Options: a ) 28 , b ) 29 , c ) 10 , d ) 31 , e ) 32
Rationale: "try filling the numbers into the answer y x y = find the closest to 100 . answer c"
Answer: c
Question (physics): find the cost of fencing around a circular field of diameter 14 m at the rate of rs . 2.50 a meter ?
Options: a ) 288 , b ) 110 , c ) 772 , d ) 592 , e ) 261
Rationale: "2 * 22 / 7 * 7 = 44 44 * 2.5 = rs . 110 answer : b"
Answer: b
Question (other): a farmer used 1,034 acres of land for beans , wheat , and corn in the ratio of 5 : 2 : 4 , respectively . how many y acres were used for corn ?
Options: a ) 188 , b ) 258 , c ) 376 , d ) 470 , e ) 517
Rationale: "consider 5 x acres of land used for bean consider 2 x acres of land used for wheat consider 4 x acres of land used for corn total given is 1034 acres 11 x = 1034 x = 94 land used for corn y = 4 * 94 = 376 correct option - c"
Answer: c
Question (general): 10 play kabadi , 15 play kho kho only , 5 play both gmaes . then how many in total ?
Options: a ) 25 , b ) 35 , c ) 38 , d ) 40 , e ) 45
Rationale: "10 play kabadi = > n ( a ) = 10 , 5 play both gmaes . = > n ( anb ) = 5 15 play kho kho only , = > n ( b ) = n ( b only ) + n ( anb ) = 15 + 5 = 20 total = > n ( aub ) = n ( a ) + n ( b ) - n ( anb ) = 10 + 20 - 5 = 25 answer : a"
Answer: a
Question (geometry): a tailor trims 7 feet from opposite edges of a square piece of cloth , and 5 feet from the other two edges . if 45 square feet of cloth remain , what was the length of a side of the original piece of cloth ?
Options: a ) 13 , b ) 15 , c ) 17 , d ) 19 , e ) 21
Rationale: "let the original side of the square be x . ( x - 14 ) * ( x - 10 ) = 45 = 5 * 9 x = 19 the answer is d ."
Answer: d
Question (gain): $ 500 will become $ 1000 in 5 years find the rate of interest ?
Options: a ) 10 % , b ) 20 % , c ) 25 % , d ) 30 % , e ) 50 %
Rationale: si = simple interest = a - p = 1000 - 500 = $ 500 r = 100 si / pt = 100 * 500 / 500 * 5 = 20 % answer is b
Answer: b
Question (general): ( ( - 1.9 ) ( 0.6 ) – ( 2.6 ) ( 1.2 ) ) / 3.0 = ?
Options: a ) - 0.71 , b ) 1.0 , c ) 1.07 , d ) - 1.42 , e ) 2.71
Rationale: "dove straight into calculation ( ( - 1.9 ) ( 0.6 ) – ( 2.6 ) ( 1.2 ) ) / 3.0 = - 1.42 answer d"
Answer: d
Question (general): the number 523 rbc is divisible by 7 , 89 . then what is the value of r * b * c
Options: a ) 504 , b ) 532 , c ) 210 , d ) 180 , e ) 280
Rationale: lcm of 7 , 8 and 9 is 504 , thus 523 rbc must be divisible by 504 . 523 rbc = 523000 + rbc 523000 divided by 504 gives a remainder of 352 . hence , 352 + rbc = k * 504 . k = 1 rbc = 152 - - > r * b * c = 10 k = 2 rbc = 656 - - > r * b * c = 180 as rbc is three digit number k can not be more than 2 . two answers ? well only one is listed in answer choices , so d . answer : d .
Answer: d
Question (gain): a man buys rs . 20 shares paying 9 % dividend . the man wants to have an interest of 12 % on his money . what is the market value of each share ?
Options: a ) rs . 12 , b ) rs . 18 , c ) rs . 15 , d ) rs . 21 , e ) rs . 25
Rationale: "explanation : face value of each share = rs . 20 dividend per share = 9 % of 20 = 9 × 20 / 100 = 9 / 5 he needs to have an interest of 12 % on his money ie , money paid for a share 9 × 12 / 100 = 9 / 5 money paid for a share = 9 / 5 × 100 / 12 = 15 ie , market value of the share = rs . 15 answer : option c"
Answer: c
Question (general): what is the smallest no . which must be added to 27452 so as to obtain a sum which is divisible by 9 ?
Options: a ) 7 , b ) 2 , c ) 9 , d ) 4 , e ) 6
Rationale: "for 27452 , 2 + 7 + 4 + 5 + 2 = 20 . 7 must be added to 27452 to make it divisible by 9 . now , 2 + 7 + 4 + 5 + 9 = 27 = > 27 is a multiple of 9 and hence 27452 is also divisible by 9 a"
Answer: a
Question (general): find the average of first 4 multiples of 5 ?
Options: a ) 10 , b ) 15 , c ) 12.5 , d ) 13 , e ) 21
Rationale: "average = ( 5 + 10 + 15 + 20 ) / 4 = 12.5 answer is c"
Answer: c
Question (gain): the sale price sarees listed for rs . 400 after successive discount is 10 % and 8 % is ?
Options: a ) 338 , b ) 277 , c ) 331.2 , d ) 882 , e ) 212
Rationale: "400 * ( 90 / 100 ) * ( 92 / 100 ) = 331.2 answer : c"
Answer: c
Question (physics): the h . c . f of two numbers is 11 and their l . c . m is 7700 . if one of the numbers is 275 , then the other is
Options: a ) 344 , b ) 387 , c ) 308 , d ) 299 , e ) 882
Rationale: "explanation : other number = \ inline \ fn _ jvn \ left ( \ frac { 11 \ times 7700 } { 275 } \ right ) = 308 answer : c ) 308"
Answer: c
Question (geometry): what is the smallest positive integer x , such that 2160 x is a perfect cube ?
Options: a ) 100 , b ) 6 , c ) 8 , d ) 12 , e ) 18
Rationale: "take out the factors of 2160 that will come 6 ^ 3 * 10 . for perfect cube you need every no . raise to the power 3 . for 2160 to be a perfect cube , you need two 2 and two 5 that means 100 a is the answer ."
Answer: a
Question (general): a batch of cookies was divided amomg 6 tins : 2 / 3 of all the cookies were placed in either the blue or the green tin , and the rest were placed in the red tin . if 1 / 4 of all the cookies were placed in the blue tin , what fraction of the cookies that were placed in the other tins were placed in the green tin
Options: a ) 15 / 2 , b ) 9 / 4 , c ) 5 / 9 , d ) 5 / 7 , e ) 9 / 7
Rationale: this will help reduce the number of variables you have to deal with : g + b = 2 / 3 r = 1 / 6 b = 1 / 4 we can solve for g which is 5 / 12 what fraction ( let it equal x ) of the cookies that were placed in the other tins were placed in the green tin ? so . . x * ( g + r ) = g x * ( 5 / 12 + 1 / 6 ) = 5 / 12 x = 5 / 7 answer : d
Answer: d
Question (general): in a certain game , a large bag is filled with blue , green , purple and red chips worth 1 , 5 , x and 11 points each , respectively . the purple chips are worth more than the green chips , but less than the red chips . a certain number of chips are then selected from the bag . if the product of the point values of the selected chips is 28160 , how many purple chips were selected ?
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Rationale: "28160 = 1 * 5 * 8 ^ 3 * 11 the factors of 8 must come from the purple point value , so there are 3 purple chips . the answer is c ."
Answer: c
Question (physics): two numbers have a h . c . f of 12 and a product of two numbers is 2460 . find the l . c . m of the two numbers ?
Options: a ) 140 , b ) 150 , c ) 205 , d ) 170 , e ) 180
Rationale: "l . c . m of two numbers is given by ( product of the two numbers ) / ( h . c . f of the two numbers ) = 2460 / 12 = 205 . answer : c"
Answer: c
Question (general): if a - b = 9 and a ^ 2 + b ^ 2 = 281 , find the value of ab
Options: a ) 100 , b ) 12 , c ) 15 , d ) 18 , e ) 19
Rationale: "2 ab = ( a ^ 2 + b ^ 2 ) - ( a - b ) ^ 2 = 281 - 81 = 200 = > ab = 100 answer : a"
Answer: a
Question (other): if x and y are sets of integers , x # y denotes the set of integers that belong to set x or set y , but not both . if x consists of 16 integers , y consists of 18 integers , and 6 of the integers are in both x and y , then x # y consists of how many integers ?
Options: a ) 6 , b ) 16 , c ) 22 , d ) 30 , e ) 174
Rationale: "the number of integers that belong to set x only is 16 - 6 = 10 ; the number of integers that belong to set y only is 18 - 6 = 12 ; the number of integers that belong to set x or set y , but not both is 10 + 12 = 22 . answer : c"
Answer: c
Question (physics): a train is moving at 6 / 7 of its usual speed . the train is 15 minutes too late . what is the usual time ( in hours ) for the train to complete the journey ?
Options: a ) 1 , b ) 1.5 , c ) 2 , d ) 2.5 , e ) 3
Rationale: "new time = d / ( 6 v / 7 ) = 7 / 6 * usual time 15 minutes represents 1 / 6 of the usual time . the usual time is 1.5 hours . the answer is b ."
Answer: b
Question (general): exactly 3 / 5 of the people in the room are under the age of 21 , and exactly 5 / 13 of the people in the room are over the age of 65 . if the total number of the people in the room is greater than 50 and less than 100 , how many people in the room are under the age of 21 ?
Options: a ) 21 , b ) 35 , c ) 39 , d ) 60 , e ) 42
Rationale: "the total number of the people in the room must be a multiple of both 5 and 14 ( in order 3 / 5 and 5 / 14 of the number to be an integer ) , thus the total number of the people must be a multiple of lcm of 5 and 14 , which is 70 . since , the total number of the people in the room is greater than 50 and less than 100 , then there are 70 people in the room . therefore there are 3 / 5 * 70 = 42 people in the room under the age of 21 . answer : e ."
Answer: e
Question (general): there are 2 sections a and b in a class , consisting of 60 and 70 students respectively . if the average weight of section a is 60 kg and that of section b is 80 kg , find the average of the whole class ?
Options: a ) 50.78 kg , b ) 49.32 kg , c ) 70.76 kg , d ) 69.15 kg , e ) 70.89 kg
Rationale: "total weight of 60 + 70 students = 60 * 60 + 70 * 80 = 3600 + 5600 average weight of the class is = 9200 / 130 = 70.76 kg answer is c"
Answer: c
Question (general): a furniture store owner decided to drop the price of her recliners by 20 % to spur business . by the end of the week she had sold 80 % more recliners . what is the percentage increase of the gross ?
Options: a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 44 %
Rationale: "say a recliner is actually worth $ 100 if she sells 100 recliners then she earns $ 10000 after the discount of 20 % , she will earn $ 80 per recliner and she sells 80 % more ie . , 180 recliners hence her sales tields 180 * 80 = $ 14400 increase in sales = 14400 - 10000 = $ 4400 so % increase = 4400 * 100 / 10000 = 44 % e is the answer"
Answer: e
Question (other): in a family 19 people eat only vegetarian , 9 people eat only non veg . , 12 people eat both veg and non veg . . how many people eat veg in the family ?
Options: a ) 20 , b ) 31 , c ) 9 , d ) 31 , e ) 21
Rationale: "total people eat veg = only veg + both veg and non veg total = 19 + 12 = 31 answer = b"
Answer: b
Question (gain): two friends plan to walk along a 36 - km trail , starting at opposite ends of the trail at the same time . if friend p ' s rate is 25 % faster than friend q ' s , how many kilometers will friend p have walked when they pass each other ?
Options: a ) 19 , b ) 20 , c ) 21 , d ) 22 , e ) 23
Rationale: if q complete x kilometers , then p completes 1.25 x kilometers . x + 1.25 x = 36 2.25 x = 36 x = 16 then p will have have walked 1.25 * 16 = 20 km . the answer is b .
Answer: b
Question (general): for any integer k greater than 1 , the symbol k * denotes the product of all integers between 1 and k , inclusive . if k * is a multiple of 3,675 , what is the least possible value of k ?
Options: a ) 12 , b ) 14 , c ) 15 , d ) 21 , e ) 25
Rationale: "we basically need 5,5 , 3,7 and 7 in the number . 14 ! , has 3 , 5 , 7 , 10 , 14 now 10 = 2 x 5 14 = 2 x 7 cross check : k ! = 3675 * m ( m is a positive integer ) k ! = 3 * 5 * 5 * 7 * 7 14 ! has all the numbers above . . therefore b . . ! answer : b"
Answer: b
Question (physics): l . c . m of two numbers is 192 and there h . c . f is 16 . if one of them is 48 . find the other
Options: a ) 32 , b ) 64 , c ) 48 , d ) 68 , e ) 78
Rationale: explanation : product of two numbers = product of their l . c . m and h . c . f 48 x a = 192 x 16 a = ( 192 x 16 ) / 48 = 64 answer : option b
Answer: b
Question (physics): at 3.40 , the hour hand and the minute hand of a clock form an angle of
Options: a ) 378 , b ) 277 , c ) 297 , d ) 267 , e ) 130
Rationale: sol : use formula θ = ∣ ∣ ∣ 30 h − 112 m ∣ ∣ ∣ θ = | 30 h − 112 m | angle = 30 × 3 – 11 / 2 × 40 = 90 – 220 = 130 ° answer : e
Answer: e
Question (gain): x and y started a business with capitals rs . 20000 and rs . 25000 . after few months z joined them with a capital of rs . 30000 . if the share of z in the annual profit of rs . 50000 is rs . 14000 , then after how many months from the beginning did z join ?
Options: a ) 3 , b ) 4 , c ) 6 , d ) 9 , e ) 5
Rationale: investments of x , y and z respectively are rs . 20000 , rs . 25000 and rs . 30000 let investment period of z be x months . ratio of annual investments of x , y and z is ( 20000 * 12 ) : ( 25000 * 12 ) : ( 30000 * x ) = 240 : 300 : 30 x = 8 : 10 : x the share of z in the annual profit of rs . 50000 is rs . 14000 . = > [ x / ( 18 + x ) ] 50000 = 14000 = > [ x / ( 18 + x ) ] 25 = 7 = > 25 x = 7 x + ( 18 * 7 ) = > x = 7 months . z joined the business after ( 12 - 7 ) months . i . e . , 5 months . answer : e
Answer: e
Question (physics): if 18 men take 15 days to to complete a job , in how many days can 24 men finish that work ?
Options: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14
Rationale: ans . 10 days
Answer: a
Question (physics): a boat goes 100 km downstream in 10 hours , and 75 m upstream in 15 hours . the speed of the stream is ?
Options: a ) 22 1 / 9 kmph , b ) 22 8 / 2 kmph , c ) 22 1 / 8 kmph , d ) 22 1 / 2 kmph , e ) 22 1 / 4 kmph
Rationale: 100 - - - 10 ds = 10 ? - - - - 1 75 - - - - 15 us = 5 ? - - - - - 1 s = ( 10 - 5 ) / 2 = 2 21 / 2 kmph answer : d
Answer: d
Question (general): if k is an integer and 121 < k ^ 2 < 225 , then k can have at most how many values ?
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8
Rationale: given k is an integer 121 < k ^ 2 < 225 11 < | k | < 15 k = - 12 , - 13 , - 1412 , 1314 answer : d
Answer: d
Question (geometry): a specialized type of sand consists of 40 % mineral x by volume and 60 % mineral y by volume . if mineral x weighs 2.5 grams per cubic centimeter and mineral y weighs 3 grams per cubic centimeter , how many grams does a cubic meter of specialized sand combination weigh ? ( 1 meter = 100 centimeters )
Options: a ) 5 , 500,000 , b ) 2 , 800,000 , c ) 55,000 , d ) 28,000 , e ) 280
Rationale: "let the volume be 1 m ^ 3 = 1 m * 1 m * 1 m = 100 cm * 100 cm * 100 cm = 1 , 000,000 cm ^ 3 by volume 40 % is x = 400,000 cm ^ 3 60 % is y = 600,000 cm ^ 3 by weight , in 1 cm ^ 3 , x is 2.5 gms in 400,000 cm ^ 3 , x = 2.5 * 400,000 = 1 , 000,000 grams in 1 cm ^ 3 , y is 3 gms in 600,000 cm ^ 3 , y = 3 * 600,000 = 1 , 800,000 gms total gms in 1 m ^ 3 = 1 , 000,000 + 1 , 800,000 = 2 , 800,000 answer : b"
Answer: b
Question (general): a sum of rs . 2040 has been divided among a , b and c such that a gets of what b gets and b gets of what c gets . b ’ s share is :
Options: a ) rs . 120 , b ) rs . 160 , c ) rs . 240 , d ) rs . 360 , e ) none
Rationale: "explanation let c ’ s share = rs . x then , b ’ s share = rs . x / 4 , a ’ s share = rs . ( 2 / 3 x x / 4 ) = rs . x / 6 = x / 6 + x / 4 + x = 2040 = > 17 x / 12 = 2040 = > 2040 x 12 / 17 = rs . 1440 hence , b ’ s share = rs . ( 1440 / 4 ) = rs . 360 . answer d"
Answer: d
Question (gain): an error 17 % in excess is made while measuring the side of a square . now what is the percentage of error in the calculated area of the square ?
Options: a ) 6.64 % , b ) 36.89 % , c ) 15.64 % , d ) 26.64 % , e ) 10.64 %
Rationale: "percentage error in calculated area = ( 17 + 17 + ( 17 ã — 17 ) / 100 ) % = 36.89 % answer : b"
Answer: b
Question (physics): a boat can travel with a speed of 40 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 45 km downstream .
Options: a ) 1 hr , b ) 2 hrs , c ) 3 hrs , d ) 4 hrs , e ) 5 hrs
Rationale: "speed downstream = ( 40 + 5 ) km / hr = 45 km / hr . time taken to travel 45 km downstream = 45 / 45 hrs = 1 hrs . answer : a"
Answer: a
Question (gain): 3 candidates in an election and received 1036 , 4636 and 11628 votes respectively . what % of the total votes did the winning candidate gotin that election ?
Options: a ) 40 % , b ) 55 % , c ) 57 % , d ) 60 % , e ) 67.2 %
Rationale: total number of votes polled = ( 1036 + 4636 + 11628 ) = 17300 so , required percentage = 11628 / 17300 * 100 = 67.2 % e
Answer: e
Question (gain): find the amount on rs . 5000 in 2 years , the rate of interest being 2 % per first year and 3 % for the second year ?
Options: a ) 3377 , b ) 2678 , c ) 5460 , d ) 1976 , e ) 5253
Rationale: "5000 * 102 / 100 * 103 / 100 = > 5253 answer : e"
Answer: e
Question (general): in plutarch enterprises , 60 % of the employees are marketers , 30 % are engineers , and the rest are managers . marketers make an average salary of $ 50,000 a year , and engineers make an average of $ 80,000 . what is the average salary for managers if the average for all employees is also $ 80,000 ?
Options: a ) $ 80,000 , b ) $ 130,000 , c ) $ 260,000 , d ) $ 290,000 , e ) $ 320,000
Rationale: "for sake of ease , let ' s say there are 10 employees : 6 marketers , 3 engineers , and 1 manager . average company salary * number of employees = total company salary > > > $ 80,000 * 10 = $ 800,000 subtract the combined salaries for the marketers ( 6 * $ 50,000 ) and the engineers ( 3 * $ 80,000 ) > > > $ 800,000 - $ 300,000 - $ 240,000 = $ 260,000 . the correct answer is c ."
Answer: c
Question (gain): find the missing figures : 0.25 % of ? = 0.04
Options: a ) 16 , b ) 20 , c ) 17 , d ) 12 , e ) 18
Rationale: "let 0.25 % of x = 0.04 . then , 0.25 * x / 100 = 0.04 x = [ ( 0.04 * 100 ) / 0.25 ] = 16 . answer is a ."
Answer: a
Question (general): how many 6 digit number contain number 4 ?
Options: a ) 317608 , b ) 327608 , c ) 337608 , d ) 427608 , e ) 357608
Rationale: "total 6 digit no . = 9 * 10 * 10 * 10 * 10 * 10 = 900000 not containing 4 = 8 * 9 * 9 * 9 * 9 * 9 = 472392 total 6 digit number contain 4 = 900000 - 472392 = 427608 answer : d"
Answer: d
Question (gain): cricket match is conducted in us . the run rate of a cricket game was only 3.2 in first 10 over . what should be the run rate in the remaining 40 overs to reach the target of 262 runs ?
Options: a ) 6 , b ) 6.25 , c ) 5.75 , d ) 7.5 , e ) 8
Rationale: "required run rate = 262 - ( 3.2 x 10 ) = 230 = 5.75 40 40 c"
Answer: c