Cheukting/mathqa huggingface dataset:
Question (general): p , q and r have rs . 6000 among themselves . r has two - thirds of the total amount with p and q . find the amount with r ?
Options: a ) 2388 , b ) 3722 , c ) 2400 , d ) 2872 , e ) 1231
Rationale: explanation : let the amount with r be rs . r r = 2 / 3 ( total amount with p and q ) r = 2 / 3 ( 6000 - r ) = > 3 r = 12000 - 2 r = > 5 r = 12000 = > r = 2400 . answer : c
Answer: c
Question (general): on sunday , bill ran 4 more miles than he ran on saturday . julia did not run on saturday , but she ran twice the number of miles on sunday that bill ran on sunday . if bill and julia ran a total of 32 miles on saturday and sunday , how many miles did bill run on sunday ?
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Rationale: "let bill run x on saturday , so he will run x + 4 on sunday . . julia will run 2 * ( x + 4 ) on sunday . . totai = x + x + 4 + 2 x + 8 = 32 . . 4 x + 12 = 32 . . x = 5 . . ans = x + 4 = 5 + 4 = 9 answer e"
Answer: e
Question (general): a man saves 20 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 20 % , he is only able to save rs . 260 per month . what is his monthly salary ?
Options: a ) 5000 , b ) 2999 , c ) 2878 , d ) 2990 , e ) 6500
Rationale: "income = rs . 100 expenditure = rs . 80 savings = rs . 20 present expenditure 80 * ( 20 / 100 ) = rs . 96 present savings = 100 â € “ 96 = rs . 4 100 - - - - - - 4 ? - - - - - - - - - 260 = > 6500 answer : e"
Answer: e
Question (physics): a 160 meter long train crosses a man standing on the platform in 4 sec . what is the speed of the train ?
Options: a ) 176 kmph , b ) 144 kmph , c ) 176 kmph , d ) 134 kmph , e ) 161 kmph
Rationale: "s = 160 / 4 * 18 / 5 = 144 kmph answer : b"
Answer: b
Question (gain): p and q started a business investing rs 60000 and rs 15000 resp . in what ratio the profit earned after 2 years be divided between p and q respectively .
Options: a ) 7 : 5 , b ) 17 : 3 , c ) 4 : 1 , d ) 17 : 7 , e ) 5 : 8
Rationale: explanation : in this type of question as time frame for both investors is equal then just get the ratio of their investments . p : q = 60000 : 15000 = 60 : 15 = 4 : 1 option c
Answer: c
Question (physics): 20 people can write 50 book in 15 days working 8 hour a day . then in how many day 200 can be written by 60 people ?
Options: a ) 200 , b ) 100 , c ) 50 , d ) 70 , e ) 25
Rationale: "work per day epr hour per person = 50 / ( 15 * 8 * 20 ) / / eq - 1 people = 60 ; let suppose day = p ; per day work for 8 hours acc . to condition work per day epr hour per person = 200 / ( p * 8 * 60 ) / / eq - 2 eq - 1 = = eq - 2 ; p = 100 answer : b"
Answer: b
Question (geometry): if each side of a square is increased by 50 % , the ratio of the area of the resulting square to the area of the given square is :
Options: a ) 5 : 4
b ) 9 : 4
c ) 4 : 5
d ) 4 : 9
e ) 1 : 2
Rationale: let , each side = a . then , original area = a 2 . new side = 150 a / 100 = 3 a / 2 . new area = 9 a 2 / 4 . required ratio = 9 a 2 / 4 : a 2 = 9 : 4 answer : b
Answer: b
Question (general): what least number must be added to 1078 , so that the sum is completely divisible by 23 ?
Options: a ) 3 , b ) 2 , c ) 4 , d ) 5 , e ) 6
Rationale: "47 * 23 = 1081 1081 - 1078 = 3 answer : a"
Answer: a
Question (general): find the average marks of all the students in 2 separate classes , if the average marks of students in the first class of 55 students is 60 and that of another class of 48 students is 58
Options: a ) 55.1 , b ) 51.1 , c ) 53.1 , d ) 52.1 , e ) 59.1
Rationale: sum of the marks for the class of 55 students = 55 * 60 = 3300 sum of the marks for the class of 48 students = 48 * 58 = 2784 sum of the marks for the class of 103 students = 3300 + 2784 = 6084 average marks of all the students = 6084 / 103 = 59.1 answer : e
Answer: e
Question (physics): a train is 100 meter long and is running at the speed of 30 km per hour . find the time it will take to pass a man standing at a crossing .
Options: a ) 10 seconds , b ) 12 seconds , c ) 14 seconds , d ) 16 seconds , e ) none of these
Rationale: explanation : as we need to get answer in seconds , so never forget to convert speed into meter per second . speed = 30 km / hr = 30 * 5 / 18 m / sec = 25 / 3 m / sec distance = length of train = 100 meter required time = distancespeed = 100253 = 100 ∗ 325 = 12 sec answer : b
Answer: b
Question (general): on a game show , a contestant is given 3 keys , each of which opens exactly one of the 3 identical boxes . the contestant assigns each key to one of the boxes and wins the amount of money contained in any box that is opened by the key assigned to it . the first box contains $ 4 , the second $ 400 , and the third $ 4000 . what is the probability that a contestant will win more than $ 4000 ?
Options: a ) 2 / 6 , b ) 1 / 6 , c ) 1 / 8 , d ) 1 / 3 , e ) 1 / 2
Rationale: let ' s call the boxes that contain $ 4 , $ 400 , and $ 4000 , respectively , box a , box b , box c . these are opened , respectively , by key a , key b , and key c . we want to know the probability of winning more than $ 4000 . notice that if the distribution of keys is : box a = key b box b = key a box c = key c then the contestant wins exactly $ 4000 , not more than $ 4000 . the only configuration that leads to winning more than $ 1000 is : box a = key a box b = key b box c = key c i . e . , getting all three keys correct . that ' s the only way to be more than $ 4000 . so , really , the question can be rephrased : what is the probability of guessing the order of keys so that each key matches the correct box ? well , for a set of three items , the number of possible permutations is 3 ! = 3 * 2 * 1 = 6 . of those 6 possible permutations , only one of them leads to all three keys being paired with the right box . so , the answer is probability = 1 / 6 answer : b
Answer: b
Question (physics): the edges of a cuboid are 4 cm , 5 cm and 6 cm . find the volume of the cuboid ?
Options: a ) 120 , b ) 278 , c ) 378 , d ) 368 , e ) 367
Rationale: "4 * 5 * 6 = 120 answer : a"
Answer: a
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 1701 what is the least possible value of k ?
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16
Rationale: "1701 = 3 * 3 * 3 * 3 * 3 * 7 thus k must include numbers at least up to the number 12 so that there are at least five appearances of 3 ( that is : 3 , 6 , 9 = 3 * 3 , and 12 ) . the answer is c ."
Answer: c
Question (physics): a car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city . if the car traveled 12 fewer miles per gallon in the city than on the highway , how many miles per gallon did the car travel in the city ?
Options: a ) 14 , b ) 16 , c ) 21 , d ) 22 , e ) 32
Rationale: "i treat such problems as work ones . work = rate * time mileage ( m ) = rate ( mpg ) * gallons ( g ) x gallons is a full tank { 462 = rx { 336 = ( r - 12 ) x solve for r , r = 44 44 - 12 = 32 mpg e"
Answer: e
Question (geometry): the side of a rhombus is 25 m and length of one of its diagonals is 10 m . the area of the rhombus is ?
Options: a ) 244.85 , b ) 224.95 , c ) 244.85 , d ) 224.95 , e ) 244.95
Rationale: "area of the rhombus = 1 / 2 * p * √ 4 ( a ) 2 - ( p ) 2 a = 25 ; p = 10 a = 1 / 2 * 10 * √ 4 ( 25 ) 2 - ( 10 ) 2 = 1 / 2 * 10 * √ 2500 - 100 = 1 / 2 * 10 * √ 2400 a = 244.95 answer : e"
Answer: e
Question (physics): two dogsled teams raced across a 300 - mile course in wyoming . team a finished the course in 3 fewer hours than did team b . if team a ’ s average speed was 5 miles per hour greater than that of team b , what was team b ’ s average speed , in miles per hour ?
Options: a ) 12 , b ) 15 , c ) 18 , d ) 20 , e ) 25
Rationale: speed of b = s speed of a = s + 5 time taken by b = 300 / s time taken by a = 300 / ( s + 5 ) difference in their time is 3 hrs . 300 / s - 3 = 300 / ( s + 5 ) plug in the values from the option no need of choosing 12 & 18 it wo n ' t satisfy a ) if we take 15 then t ( b ) = 300 / 15 = 20 t ( a ) = 300 / 20 = 15 . hence from this option difference comes out to be 5 which is not correct b ) if we take 20 then t ( b ) = 300 / 20 = 15 t ( a ) = 300 / 25 = 12 difference in timing is 3 hence option d is correct
Answer: d
Question (geometry): a metallic sheet is of rectangular shape with dimensions 52 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is :
Options: a ) 4830 , b ) 5120 , c ) 6420 , d ) 7500 , e ) 5760
Rationale: "l = ( 52 - 16 ) m = 36 m , b = ( 36 - 16 ) m = 20 m , h = 8 m . volume of the box = ( 36 x 20 x 8 ) m 3 = 5760 m 3 . answer : option e"
Answer: e
Question (gain): a shopkeeper forced to sell at cost price , uses a 700 grams weight for a kilogram . what is his gain percent ?
Options: a ) 10 % , b ) 9 % , c ) 11.11 % , d ) 42.85 % , e ) none of these
Rationale: "shopkeeper sells 700 g instead of 1000 g . so , his gain = 1000 - 700 = 300 g . thus , % gain = ( 300 * 100 ) / 700 = 42.85 % . answer : option d"
Answer: d
Question (physics): a man can do a piece of work in 7 days , but with the help of his son , he can do it in 3 days . in what time can the son do it alone ?
Options: a ) 5 , b ) 7 , c ) 15 / 2 , d ) 21 / 4 , e ) 18 / 5
Rationale: "son ' s 1 day ' s work = ( 1 / 3 ) - ( 1 / 7 ) = 4 / 21 the son alone can do the work in 21 / 4 days answer is d"
Answer: d
Question (other): what is log 3 ( 4 ) log 4 ( 5 ) . . . log 80 ( 81 ) ?
Options: a ) 1 , b ) 4 , c ) 81 , d ) log 80 243 , e ) e 81
Rationale: recall the change of base formula logb ( a ) = ln ( a ) ln ( b ) : ( alternatively , we can substitute logc for ln on the right , as long as the base is the same on the top and on the bottom . ) using this , we can rewrite the entire expression using natural logarithms , as ln ( 4 ) ln ( 3 ) ln ( 5 ) ln ( 4 ) ln ( 81 ) ln ( 80 ) = ln ( 81 ) ln ( 3 ) = log 3 ( 81 ) = log 3 ( 34 ) = 4 : correct answer b
Answer: b
Question (general): 0.0005521 / 0.0000110 x 15.05 = ?
Options: a ) 7534 , b ) 255.4 , c ) 756.4 , d ) 755.4 , e ) 752.4
Rationale: "explanation : ? = 0.0005521 / 0.0000110 x 15.05 = 755.4 answer : option d"
Answer: d
Question (general): the average of 6 observations is 16 . a new observation is included and the new average is decreased by 1 . the seventh observation is ?
Options: a ) 1 , b ) 3 , c ) 9 , d ) 6 , e ) 7
Rationale: "let seventh observation = x . then , according to the question we have = > ( 96 + x ) / 7 = 15 = > x = 9 hence , the seventh observation is 9 . answer : c"
Answer: c
Question (general): the total age of a and b is 16 years more than the total age of b and c . c is how many years younger than a ?
Options: a ) 16 , b ) 24 , c ) c is elder than a , d ) data inadequate , e ) none
Rationale: "solution [ ( a + b ) - ( b + c ) ] = 16 â € ¹ = â € º a - c = 16 . answer a"
Answer: a
Question (general): keats library purchases a number of new books , all in the category of biography , and the library does not acquire any other books . with the addition of the new biographies , the biography collection of the library amounts to 25 % of the total number of books in the library . if prior to the purchase , only 20 % of the books in keats library were biographies , by what percent has the number of biographies in the library increased ?
Options: a ) 23 % , b ) 28 % , c ) 33 % , d ) 38 % , e ) 43 %
Rationale: "let x be the number of new biographies added to the library . let b be the original number of biographies , so the original number of books was 5 b . 0.25 ( 5 b + x ) = b + x 0.25 b = 0.75 x x = 0.33 b the answer is c ."
Answer: c
Question (physics): a train running at the speed of 60 km / hr crosses a pole in 36 seconds . what is the length of the train ?
Options: a ) 186 m , b ) 176 m , c ) 100 m , d ) 600 m , e ) 765 m
Rationale: "speed = ( 60 * 5 / 18 ) m / sec = ( 50 / 3 ) m / sec length of the train = ( speed x time ) = ( 50 / 3 * 36 ) m = 600 m . answer : d"
Answer: d
Question (general): the product of three consecutive numbers is 504 . then the sum of the smallest two numbers is ?
Options: a ) 11 , b ) 15 , c ) 20 , d ) 38 , e ) 56
Rationale: "product of three numbers = 504 504 = 7 * 8 * 9 . so , the three numbers are 7 , 8 and 9 . and sum of smallest of these two = 7 + 8 = 15 . answer : option b"
Answer: b
Question (general): if 3 ^ 20 x 2 ^ 20 = 6 ^ n what is the value of n ?
Options: a ) 18 , b ) 20 , c ) 22 , d ) 24 , e ) 26
Rationale: "3 ^ 20 * 2 ^ 20 = 6 ^ n 6 ^ 20 = 6 ^ n therefore n = 20 b"
Answer: b
Question (physics): 20 men can do a work in 40 days . when should 20 men leave the work so that the entire work is completed in 40 days after they leave the work ?
Options: a ) 0 days , b ) 10 days , c ) 20 days , d ) 30 days , e ) 40 days
Rationale: "total work to be done = 20 * 40 = 800 let 20 men leave the work after ' p ' days , so that the remaining work is completed in 40 days after they leave the work . 40 p + ( 20 * 40 ) = 800 40 p = 0 = > p = 0 days answer : a"
Answer: a
Question (general): mary and harry enter into a partnership by investing $ 700 and $ 300 respectively . at the end of one year , they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business . if mary received $ 800 more than harry did , what was the profit made by their business in that year ?
Options: a ) 45645433 , b ) 46457457 , c ) 4675 , d ) 3000 , e ) 3432
Rationale: say the profit was $ x . mary ' s share = x / 6 ( half of the third ) + ( x - x / 3 ) * 0.7 harry share = x / 6 ( half of the third ) + ( x - x / 3 ) * 0.3 thus ( x - x / 3 ) * 0.7 - ( x - x / 3 ) * 0.3 = 800 - - > x = 3000 . answer is d
Answer: d
Question (physics): a thief goes away with a santro car at a speed of 45 kmph . the theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start ?
Options: a ) a ) 2 , b ) b ) 4 , c ) c ) 7 , d ) d ) 5 , e ) e ) 8
Rationale: explanation : | - - - - - - - - - - - 20 - - - - - - - - - - - - - - - - - - - - | 50 45 d = 20 rs = 50 – 45 = 5 t = 20 / 5 = 4 hours answer : option b
Answer: b
Question (physics): what is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad ?
Options: a ) 814 , b ) 800 , c ) 100 , d ) 200 , e ) 456
Rationale: "length of largest tile = h . c . f . of 1517 cm and 902 cm = 41 cm . area of each tile = ( 41 x 41 ) cm 2 . required number of tiles = ( 1517 x 902 ) / 41 x 41 = 814 . answer : a"
Answer: a
Question (general): the average of runs of a cricket player of 10 innings was 40 . how many runs must he make in his next innings so as to increase his average of runs by 4 ?
Options: a ) 87 , b ) 16 , c ) 10 , d ) 84 , e ) 17
Rationale: "average after 11 innings = 44 required number of runs = ( 44 * 11 ) - ( 40 * 10 ) = 484 - 400 = 84 . answer : d"
Answer: d
Question (general): find large number from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 18 as remainder
Options: a ) 1235 , b ) 1346 , c ) 1378 , d ) 1634.4 , e ) 1489
Rationale: "let the smaller number be x . then larger number = ( x + 1365 ) . x + 1365 = 6 x + 18 5 x = 1347 x = 269.4 number = 269.4 + 1365 = 1634.4 d"
Answer: d
Question (geometry): the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 588 sq m , then what is the breadth of the rectangular plot ?
Options: a ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 14
Rationale: "let the breadth of the plot be b m . length of the plot = 3 b m ( 3 b ) ( b ) = 588 3 b 2 = 588 b 2 = 196 b = 14 m . answer : option e"
Answer: e
Question (gain): a distributor sells a product through an online store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 20 per item . what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ?
Options: a ) $ 30 , b ) $ 31 , c ) $ 32 , d ) $ 33 , e ) $ 34
Rationale: "let x be the price that buyers see online . the distributor wants to receive 1.2 ( original price ) which should be 80 % of x . 1.2 ( 20 ) = 0.8 x x = 1.2 ( 20 ) / 0.8 = 1.5 ( 20 ) = $ 30 the answer is a ."
Answer: a
Question (general): 21 friends went to a hotel and decided to pay the bill amount equally . but 20 of them could pay rs . 30 each as a result 21 st has to pay rs . 200 extra than his share . find the amount paid by him .
Options: a ) 120 , b ) 250 , c ) 110 , d ) 220 , e ) none
Rationale: "explanation : average amount paid by 20 persons = rs . 30 increase in average due to rs . 200 paid extra by the 21 st men = rs . 200 / 20 = rs . 10 therefore , average expenditure of 21 friends = rs . 30 + rs . 10 = rs . 40 therefore , amount paid by the 21 st men = rs . 40 + rs . 200 = rs . 240 correct option : e"
Answer: e
Question (physics): a train 125 m long passes a man , running at 3 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ?
Options: a ) 48 , b ) 50 , c ) 28 , d ) 26 , e ) 29
Rationale: "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 - 3 ) km / hr . x - 3 = 45 = = > x = 48 km / hr answer : a"
Answer: a
Question (physics): if 10 lions can kill 10 deers in 10 minutes how long will it take 100 lions to kill 100 deers ?
Options: a ) 1 minutes , b ) 10 minute , c ) 100 minutes , d ) 10000 minutes , e ) 1000 minutes
Rationale: "we can try the logic of time and work , our work is to kill the deers so 10 ( lions ) * 10 ( min ) / 10 ( deers ) = 100 ( lions ) * x ( min ) / 100 ( deers ) hence answer is x = 10 answer : b"
Answer: b
Question (general): a certain school implemented a reading program for its students , with the goal of getting each student to read 3 books per month year - round . if the school has c classes made up of s students in each class , how many books will the entire student body read in one year ?
Options: a ) 20 cs , b ) cs / 2 , c ) 36 cs , d ) ( 2 cs ) / 12 , e ) ( 24 c ) / s
Rationale: "ans : c solution : simple multiplication s students , c classes , 3 books / month = 36 books a year total number of books = 36 cs"
Answer: c
Question (physics): a can give b 100 meters start and c 300 meters start in a kilometer race . how much start can b give c in a kilometer race ?
Options: a ) 110.22 meters , b ) 111.22 meters , c ) 222.22 meters , d ) 333.22 meters , e ) none of these
Rationale: "explanation : a runs 1000 meters while b runs 900 meters and c runs 700 meters . therefore , b runs 900 meters while c runs 700 meters . so , the number of meters that c runs when b runs 1000 meters = ( 1000 x 700 ) / 900 = 777.77 meters thus , b can give c ( 1000 - 777.77 ) = 222.22 meters start answer : c"
Answer: c
Question (general): if x gets 25 % more than y and y gets 20 % more than z , the share of z out of rs . 740 will be :
Options: a ) rs . 300 , b ) rs . 200 , c ) rs . 240 , d ) rs . 350 , e ) none of these
Rationale: "z share = z , y = 1.2 z x = 1.25 × 1.2 z , x + y + z = 740 ( 1.25 × 1.2 + 1.2 + 1 ) z = 74 3.7 z = 740 , z = 200 answer : . b ."
Answer: b
Question (gain): a man buys an item at rs . 750 and sells it at the loss of 20 percent . then what is the selling price of that item
Options: a ) rs . 660 , b ) rs . 760 , c ) rs . 600 , d ) rs . 960 , e ) none of these
Rationale: "explanation : here always remember , when ever x % loss , it means s . p . = ( 100 - x ) % of c . p when ever x % profit , it means s . p . = ( 100 + x ) % of c . p so here will be ( 100 - x ) % of c . p . = 80 % of 750 = 80 / 100 * 750 = 600 option c"
Answer: c
Question (physics): harry started a 4 - mile hike with a full 10 - cup canteen of water and finished the hike in 2 hours with 2 cup of water remaining in the canteen . if the canteen leaked at the rate of 1 cup per hour and harry drank 3 cups of water during the last mile , how many cups did he drink per mile during the first 3 miles of the hike ?
Options: a ) 1 / 3 , b ) 2 / 3 , c ) 3 / 3 , d ) 3 / 1 , e ) 3 / 2
Rationale: "no of cups leaked during the trip = 2 cups . no of cups harry drank = 6 cups . no of cups harry drank during the first 3 miles = 3 . drink / mile = 3 / 3 answer : c"
Answer: c
Question (general): salesperson a ' s compensation for any week is $ 260 plus 6 percent of the portion of a ' s total sales above $ 1,000 for that week . salesperson b ' s compensation for any week is 8 percent of b ' s total sales for that week . for what amount of total weekly sales would both salespeople earn the same compensation ?
Options: a ) $ 6000 , b ) $ 8000 , c ) $ 10,000 , d ) $ 12,000 , e ) $ 14,000
Rationale: "260 + 0.06 ( x - 1000 ) = 0.08 x 0.02 x = 200 x = $ 10,000 the answer is c ."
Answer: c
Question (gain): a , b and c start a business each investing 2,000 . after 6 months a withdrew 1000 , b withdrew 1000 and c invests 1000 more . at the end of the year , a total profit of 6600 was recorded . find the share of b .
Options: a ) 20,000 , b ) 21,200 , c ) 1,800 , d ) 20,500 , e ) none of these
Rationale: "ratio of the capitals of a , b and c = 2000 ã — 6 + 1000 ã — 6 : 2000 ã — 6 + 1000 ã — 6 : 2000 ã — 6 + 3000 ã — 6 = 18000 : 18000 : 30000 = 18 : 18 : 30 b â € ™ s share = ( 6600 ã — 18 â  „ 66 ) = 1800 answer c"
Answer: c
Question (other): in the third grade of windblown school there are 96 students , one third of them failed the math test and 1 / 6 failed that literature test . at least how many students failed both tests ?
Options: a ) 0 . , b ) 6 . , c ) 8 . , d ) 10 . , e ) 12 .
Rationale: "total = 96 failed in math = 96 / 3 = 32 failed in literature = 108 / 6 = 16 the least failed in both can be 0 while max can be 16 answer a"
Answer: a
Question (other): rajat , vikas and abhishek are submitting questions in the ratio 7 : 3 : 2 . if total number of questions submitted by them is 24 . find the number of questions submitted by vikas .
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Rationale: explanation : number of questions submitted by vikas = ( 24 * 3 ) / ( 7 + 3 + 2 ) = 6 answer : d
Answer: d
Question (general): a number divided by 64 leaves remainder 37 what is the remainder when same number divided by 5
Options: a ) 7 , b ) 8 , c ) 6 , d ) 3 , e ) 1
Rationale: add 64 + 37 = 101 now 101 divided by 5 so we get 1 as reaminder answer : e
Answer: e
Question (gain): a man sold 20 articles for $ 60 and gained 20 % . how many articles should he sell for $ 80 to incur a loss 20 % ?
Options: a ) 45 , b ) 36 , c ) 40 , d ) 50 , e ) 48
Rationale: "production cost per article : $ 60 * ( 100 % - 20 % ) / 20 = $ 2.40 required production costs for a loss of 20 % : $ 80 * ( 100 % + 20 % ) = $ 96 number of articles to be sold for $ 96 to incur a 20 % loss : $ 96 / $ 2.40 = 40 thus , solution c is correct ."
Answer: c
Question (general): divide rs . 1100 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together . a ' s share is ?
Options: a ) s . 800 , b ) s . 400 , c ) s . 600 , d ) s . 900 , e ) s . 1100
Rationale: "a + b + c = 1100 a = 1 / 3 ( b + c ) ; b = 2 / 3 ( a + c ) a / ( b + c ) = 1 / 3 a = 1 / 4 * 1100 = > 275 answer : e"
Answer: e
Question (probability): a meeting has to be conducted with 5 managers . find the number of ways in which the managers be selected from among 9 managers , if 2 managers will not attend the meeting together ?
Options: a ) 35 , b ) 91 , c ) 120 , d ) 126 , e ) 150
Rationale: "we can either choose all 5 people from 7 manager who have no problems or choose 4 from the 7 and 1 from the 2 managers who have a problem sitting together so 7 c 5 + ( 7 c 4 * 2 c 1 ) this is 21 + 70 91 ans : b"
Answer: b