Cheukting/mathqa huggingface dataset:
Question (physics): a is thrice as good as workman as b and therefore is able to finish a job in 60 days less than b . working together , they can do it in :
Options: a ) 20 days , b ) 22 1 / 2 days , c ) 24 days , d ) 25 days , e ) 30 days
Rationale: ratio of times taken by a and b = 1 : 3 . the time difference is ( 3 - 1 ) 2 days while b take 3 days and a takes 1 day . if difference of time is 2 days , b takes 3 days . if difference of time is 60 days , b takes ( 3 / 2 * 60 ) = 90 days so , a takes 30 days to do the work . a ' s 1 day ' s work = 1 / 30 b ' s 1 day ' s work = 1 / 90 ( a + b ) ' s 1 day ' s work = ( 1 / 30 + 1 / 90 ) = 4 / 90 = 2 / 45 a and b together can do the work in 45 / 2 = 22 1 / 2 days answer = b
Answer: b
Question (general): what is the difference between the largest number and the least number written with the figures 3 , 4 , 7 , 0 , 3 ?
Options: a ) 70983 , b ) 43893 , c ) 43983 , d ) 43883 , e ) 43823
Rationale: "74330 largest 30347 smallest - - - - - - - - - - - - - 43983 answer : c"
Answer: c
Question (physics): if the perimeter of a rectangular garden is 600 m , its length when its breadth is 120 m is ?
Options: a ) 286 m , b ) 180 m , c ) 200 m , d ) 166 m , e ) 187 m
Rationale: "2 ( l + 120 ) = 600 = > l = 180 m answer : b"
Answer: b
Question (physics): a cube of side one meter length is cut into small cubes of side 20 cm each . how many such small cubes can be obtained ?
Options: a ) 2878 , b ) 2778 , c ) 1000 , d ) 120 , e ) 125
Rationale: "along one edge , the number of small cubes that can be cut = 100 / 20 = 5 along each edge 20 cubes can be cut . ( along length , breadth and height ) . total number of small cubes that can be cut = 5 * 5 * 5 = 125 answer : e"
Answer: e
Question (general): the average of 5 consecutive even numbers a , b , c , d and e is 20 . what percent of e is d ?
Options: a ) 90.1 , b ) 91.7 , c ) 97.1 , d ) 101.1 , e ) 107.1
Rationale: explanation : in such a case the middle number ( c ) is the average ∴ c = 20 and d = 22 and e = 24 required percentage = 22 / 24 x 100 = 91.7 answer : option b
Answer: b
Question (geometry): the length of rectangle is thrice its breadth and its perimeter is 72 m , find the area of the rectangle ?
Options: a ) 432 , b ) 212 , c ) 243 , d ) 992 , e ) 212
Rationale: "2 ( 3 x + x ) = 72 l = 27 b = 9 lb = 27 * 9 = 243 answer : c"
Answer: c
Question (probability): there are 5 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair . what is the number of pair that can be formed .
Options: a ) 19 , b ) 20 , c ) 30 , d ) 32 , e ) 25
Rationale: "first of all you should remember that there is a difference in left and right sock . now no . of way to select any of the sock = 5 and for second = 4 so total methods = 5 * 4 = 20 answer : b"
Answer: b
Question (general): if m is a positive integer and m ^ 2 is divisible by 36 , then the largest positive integer that must divide m is ?
Options: a ) 3 , b ) 6 , c ) 8 , d ) 12 , e ) 16
Rationale: "m ^ 2 is divisible by 48 so m ^ 2 must be multiple of 48 . if the value of m is multiples of 12 then it will satisfy the condition . if we if m is 12 or 24 or 36 then it ans is d but if m = 48 then answer should be 16 . is the question right ? or am i missing some thing ? d"
Answer: d
Question (gain): a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store , at the end of one month the number of total items sold increases 10 % . their gross income from sales for one month decreases by what percent ?
Options: a ) 1 % , b ) 3 % , c ) 5 % , d ) 7 % , e ) 9 %
Rationale: "let p be the original price and let x be the number of items sold originally . the original income is p * x . after the changes , the income is 0.9 p * 1.1 x = 0.99 * ( p * x ) , a decrease of 1 % . the answer is a ."
Answer: a
Question (general): how many multiples of 2 are less than 2400 , and also multiples of 8 ?
Options: a ) 104 , b ) 208 , c ) 300 , d ) 832 , e ) 833
Rationale: the lcm of 2 and 8 is 8 . divide 2400 / 8 = 300 . xxx . so c is your answer .
Answer: c
Question (general): on a certain day , orangeade was made by mixing a certain amount of orange juice with an equal amount of water . on the next day , orangeade was made by mixing the same amount of orange juice with twice the amount of water . on both days , all the orangeade that was made was sold . if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.60 per glass on the first day , what was the price per f glass on the second day ?
Options: a ) $ 015 , b ) $ 0.20 , c ) $ 0.30 , d ) $ 0.40 , e ) $ 0.45
Rationale: "on the first day 1 unit of orange juice and 1 unit of water was used to make 2 units of orangeade ; on the second day 1 unit of orange juice and 2 units of water was used to make 3 units of orangeade ; so , the ratio of the amount of orangeade made on the first day to the amount of orangeade made on the second day is 2 to 3 . naturally the ratio of the # of glasses of orangeade made on the first day to the # of glasses of orangeade made on the second day is 2 to 3 . we are told thatthe revenue from selling the orangeade was the same for both daysso the revenue from 2 glasses on the first day equals to the revenue from 3 glasses on the second day . say the price of the glass of the orangeade on the second day was $ x then 2 * 0.6 = 3 * x - - > x = $ 0.4 . answer : d ."
Answer: d
Question (physics): in what time will a train 110 m long cross an electric pole , it its speed be 128 km / hr ?
Options: a ) 2.5 sec , b ) 2.9 sec , c ) 3.1 sec , d ) 8.7 sec , e ) 8.5 sec
Rationale: "speed = 128 * 5 / 18 = 36 m / sec time taken = 110 / 36 = 3.1 sec . answer : c"
Answer: c
Question (geometry): what is the smallest positive perfect square that is divisible by 9 , 21 , and 49 ?
Options: a ) 225 , b ) 324 , c ) 441 , d ) 529 , e ) 900
Rationale: "the number needs to be divisible by 3 ^ 2 , 3 * 7 , and 7 ^ 2 . the smallest such perfect square is 3 ^ 2 * 7 ^ 2 = 441 the answer is c ."
Answer: c
Question (physics): two trains 160 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?
Options: a ) 10.52 sec , b ) 18.8 sec , c ) 14.52 sec , d ) 10.8 sec , e ) 11.52 sec
Rationale: "relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 160 + 160 = 320 m . required time = 320 * 9 / 250 = 288 / 25 = 11.52 sec . answer : e"
Answer: e
Question (general): assume all pieces of rope are equal . if 44 pieces of rope measure a feet , how long would b pieces of rope be in inches ?
Options: a ) 44 / ab , b ) 11 / 3 ab , c ) 6 / 11 ab , d ) ab / 44 , e ) 3 ab / 11
Rationale: 44 ropes measure a feet or 12 * a inches 1 rope will measure = 12 * a / 44 = 6 * a / 22 = 3 * a / 11 b piece of rope measure = b * 3 * a / 11 = 3 ab / 11 hence , the answer is e .
Answer: e
Question (gain): what is the compound interest on rs : 70,000 for 4 months at the rate of 5 % per annum
Options: a ) 1171.98 , b ) 1172.98 , c ) 1173.98 , d ) 1174.98 , e ) 1175.98
Rationale: "it is monthly compound rate = 5 / 12 % per month 70000 * ( 1 + 5 / 1200 ) ^ 4 - 70000 = 1173.98 answer : c"
Answer: c
Question (physics): two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 48 kmph respectively . in how much time will they cross each other , if they are running in the same direction ?
Options: a ) 72 sec , b ) 132 sec , c ) 157.5 sec , d ) 252 sec , e ) none
Rationale: "solution relative speed = ( 48 - 40 ) kmph = 8 kmph = ( 8 x 5 / 18 ) m / sec = ( 40 / 18 ) m / sec time taken = ( 350 x 18 / 40 ) sec = 157.5 sec . answer c"
Answer: c
Question (gain): a trader cheats both his supplier and customer by using faulty weights . when he buys from the supplier , he takes 10 % more than the indicated weight . when he sells to his customer , he gives the customer a weight such that 10 % of that is added to the weight , the weight claimed by the trader is obtained . if he charges the cost price of the weight that he claims , find his profit percentage .
Options: a ) 20 % , b ) 21 % , c ) 21.33 % , d ) 22.109 % , e ) 23 %
Rationale: "lets say the indicated weight is x for $ 10 but the trader actually get 1.1 x for $ 10 now he tells to the customer that its 1.1 ( 1.1 x ) = 1.21 x and charges the price accordingly i . e . 1.21 x * 10 / x = 12.1 so profit % = ( 12.1 - 10 ) / 10 = 0.21 = 21 % answer : b"
Answer: b
Question (physics): if the wheel is 14 cm then the number of revolutions to cover a distance of 2288 cm is ?
Options: a ) 26 , b ) 28 , c ) 17 , d ) 12 , e ) 88
Rationale: "2 * 22 / 7 * 14 * x = 2288 = > x = 26 answer : a"
Answer: a
Question (general): 18800 / 470 / 20
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Rationale: "explanation : 18800 / 470 / 20 = ( 18800 / 470 ) / 20 = 40 / 20 = 2 answer : b"
Answer: b
Question (general): in the seaside summer camp there are 50 children . 90 % of the children are boys and the rest are girls . the camp administrator decided to make the number of girls only 5 % of the total number of children in the camp . how many more boys must she bring to make that happen ?
Options: a ) 50 . , b ) 45 . , c ) 40 . , d ) 30 . , e ) 25 .
Rationale: given there are 50 students in the seaside summer camp , 90 % of 50 = 45 boys and remaining 5 girls . now here 90 % are boys and 10 % are girls . now question is asking about how many boys do we need to add , to make the girls percentage to 5 or 5 % . . if we add 50 to existing 45 then the count will be 95 and the girls number will be 5 as it . now boys are 95 % and girls are 5 % . ( out of 100 students = 95 boys + 5 girls ) . imo option a is correct .
Answer: a
Question (general): the average price of 3 items of furniture is rs . 15000 . if their prices are in the ratio 2 : 4 : 8 , the price of the cheapest item is ?
Options: a ) 2379 , b ) 2889 , c ) 5625 , d ) 9000 , e ) 28311
Rationale: let their prices be 3 x , 5 x and 7 x . then , 2 x + 6 x + 8 x = ( 15000 * 3 ) or x = 2812.5 . cost of cheapest item = 2 x = rs . 5625 . answer : c
Answer: c
Question (physics): at 1 : 00 pm , a truck left city p and headed toward city q at a constant speed of 38 km / h . one hour later , a car left city q and headed toward city p along the same road at a constant speed of 42 km / h . if the distance between city p and city q is 378 km , at what time will the truck and the car meet each other ?
Options: a ) 5 : 30 , b ) 5 : 45 , c ) 6 : 00 , d ) 6 : 15 , e ) 6 : 30
Rationale: "at 2 : 00 pm , the truck and the car are 340 km apart . the truck and the car complete a distance of 80 km each hour . the time it takes to meet is 340 / 80 = 4.25 hours . they will meet at 6 : 15 pm . the answer is d ."
Answer: d
Question (general): 0.05 x 0.03 = ?
Options: a ) 0.00015 , b ) 0.015 , c ) 0.0015 , d ) 0.15 , e ) 1.5
Rationale: "5 x 3 = 15 . sum of decimal places = 4 0.05 x 0.03 = 0.0015 answer : option c"
Answer: c
Question (general): when 1 is added to half of one - third of one - fifth of a number , the result is one - fifteenth of the number . find the number ?
Options: a ) 30 , b ) 81 , c ) 60 , d ) 27 , e ) 11
Rationale: "explanation : let the number be 1 + 1 / 2 [ 1 / 3 ( a / 5 ) ] = a / 15 = > 1 = a / 30 = > a = 30 answer : a"
Answer: a
Question (other): in a group of 15 people , 8 read english , 7 read french while 3 of them read none of these two . how many of them read french and english both ?
Options: a ) 2 , b ) 3 , c ) 4 , d ) 7 , e ) 5
Rationale: in the following venn diagram , f and e represent people who read french and english respectively . now , [ f + ( { f ∩ e } ) + e ] = 15 - 3 ( or ) f + e + ( f ∩ e ) = 12 . . . . . . ( 1 ) also , f + ( f ∩ e ) = 7 ; e + ( f ∩ e ) = 8 . by adding , f + e + 2 ( f ∩ e ) = 15 - - - - - - - - - - ( 2 ) by subtracting ( 1 ) from ( 2 ) , we get ( f ∩ e ) = 3 . ∴ 3 of them read both french and english . answer : b
Answer: b
Question (general): if a person walks at 14 km / hr instead of 10 km / hr , he would have walked 20 km more . the actual distance traveled by him is ?
Options: a ) 50 km , b ) 16 km , c ) 18 km , d ) 29 km , e ) 19 km
Rationale: "let the actual distance traveled be x km . then , x / 10 = ( x + 20 ) / 14 4 x - 200 = > x = 50 km . answer : a"
Answer: a
Question (general): sum of 36 odd numbers is ?
Options: a ) 1294 , b ) 1295 , c ) 1296 , d ) 1297 , e ) 1298
Rationale: "sum of 1 st n odd no . s = 1 + 3 + 5 + 7 + . . . = n ^ 2 so , sum of 1 st 36 odd numbers = 36 ^ 2 = 1296 answer : c"
Answer: c
Question (general): 15 chess players take part in a tournament . every player plays twice with each of his opponents . how many games are to be played ?
Options: a ) 190 , b ) 200 , c ) 210 , d ) 220 , e ) 225
Rationale: "though 2 * ( 15 c 2 ) is the correct approcah to do this , but for people like me who find perm , comb n prob a nightmare , an easy approach can be used . the first guy has to play 2 matches with the rest of 14 , so he ' ll play 28 matches . similarly , second guy has to play with the rest of 13 as his 2 games with the first guy are already played . so he plays 26 matches . this continues like this and the total matches are 28 + 26 + 24 . . . + 2 28 + 26 + . . . + 2 = 2 ( 14 + 13 + . . . + 1 ) = 2 ( ( 14 * 15 ) / 2 ) = 14 * 15 = 210 . answer : c"
Answer: c
Question (physics): the height of the wall is 6 times its width and length of the wall is 8 times its height . if the volume of the wall be 36000 cu . m . its width is
Options: a ) 4 m , b ) 5 m , c ) 6 m , d ) 7 m , e ) 8 m
Rationale: "explanation : let width = x then , height = 6 x and length = 48 x 48 x ã — 6 x ã — x = 36000 x = 5 answer : b"
Answer: b
Question (gain): one - third of 600 is what percent of 120 ?
Options: a ) 313.2 , b ) 30.1 , c ) 12.24 , d ) none of these , e ) 166.6
Rationale: answer let one - third of 600 is n % of 120 . ∵ 600 / 3 = ( n x 120 ) / 100 ∴ n = ( 200 x 100 ) / 120 = 166.6 correct option : e
Answer: e
Question (general): how many diagonals does a 58 - sided convex polygon have ?
Options: a ) 870 , b ) 1125 , c ) 1595 , d ) 2560 , e ) 3190
Rationale: "a 58 - sided convex polygon has 58 vertices . if we examine a single vertex , we can see that we can connect it with 55 other vertices to create a diagonal . note that we ca n ' t connect the vertex to itself and we ca n ' t connect it to its adjacent vertices , since this would not create a diagonal . if each of the 58 vertices can be connected with 55 vertices to create a diagonal then the total number of diagonals would be ( 58 ) ( 55 ) = 3190 however , we must recognize that we have counted every diagonal twice . to account for counting each diagonal twice , we must divide 3190 by 2 to get 1595 . the answer is c ."
Answer: c
Question (gain): a side of beef lost 35 percent of its weight in processing . if the side of beef weighed 545 pounds after processing , how many pounds did it weigh before processing ?
Options: a ) 191 , b ) 355 , c ) 737 , d ) 838 , e ) 1,560
Rationale: let weight of side of beef before processing = x ( 65 / 100 ) * x = 545 = > x = ( 545 * 100 ) / 65 = 838 answer d
Answer: d
Question (physics): miller street begins at baker street and runs directly east for 4.5 kilometers until it ends when it meets turner street . miller street is intersected every 250 meters by a perpendicular street , and each of those streets other than baker street and turner street is given a number beginning at 1 st street ( one block east of baker street ) and continuing consecutively ( 2 nd street , 3 rd street , etc . . . ) until the highest - numbered street one block west of turner street . what is the highest - numbered street that intersects miller street ?
Options: a ) 15 th , b ) 16 th , c ) 17 th , d ) 18 th , e ) 19 th
Rationale: 4.5 km / 250 m = 18 . however , the street at the 4.5 - km mark is not 18 th street ; it is turner street . therefore , the highest numbered street is 17 th street . the answer is c .
Answer: c
Question (geometry): the pressure someone experiences as he or she dives deeper and deeper in the ocean increases linearly . on the surface , the pressure is close to 15 pounds per square inch . 33 feet below the surface , the pressure is 30 pounds . if 25000 pounds per sq inch can crush your bones , what depth is extremely dangerous for humans ?
Options: a ) 55522 feet
b ) 45522 feet
c ) 35522 feet
d ) 25522 feet
e ) none
Rationale: solution : first , model the pressure ( p ) in terms of depth ( d ) with a linear equation . we will find the equation p = md + b use ( 0 , 15 ) and ( 33 , 30 ) to find m m = 30 - 15 / 33 - 0 m = 15 / 33 = 0.45 p = 0.45 d + b use ( 0 , 15 ) to find b 15 = 0.45 × 0 + b 15 = b p = 0.45 d + 15 25000 = 0.45 d + 15 25000 - 15 = 0.45 d + 15 - 15 24985 = 0.45 d d = 24985 / 0.45 = 55522 feet answer a
Answer: a
Question (other): in a class total 34 students , 16 are have a brother , 15 are have sisters , 9 students do n ' t have either brothers or sisters . find the number of students having both brother and sisters .
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Rationale: total number of students = 34 let a be the number of students have a brothers . let b be the number of students have a sisters . aub = number of students have either brothers or sisters = 34 - 9 = 25 n ( aub ) = n ( a ) + n ( b ) - n ( anb ) 25 = 16 + 15 - n ( anb ) n ( anb ) = 31 - 25 n ( anb ) = 6 the number of students having both brother and sisters = 6 answer : c
Answer: c
Question (geometry): find the area of a parallelogram with base 26 cm and height 12 cm ?
Options: a ) 281 , b ) 284 , c ) 288 , d ) 255 , e ) 312
Rationale: "area of a parallelogram = base * height = 26 * 12 = 312 cm 2 answer : e"
Answer: e
Question (general): let f ( x ) = x ^ 2 + bx + c . if f ( 3 ) = 0 and f ( - 3 ) = 0 , then b + c =
Options: a ) 18 , b ) 15 , c ) - 15 , d ) - 21 , e ) - 9
Rationale: "f ( x ) = x ^ 2 + bx + c . if f ( 3 ) = 0 and f ( - 3 ) = 0 , then b + c = f ( 3 ) = 0 = 9 + 3 b + c - - - taking 9 to the other side - > 3 b + c = - 9 f ( - 3 ) = 0 = 9 - 3 b + c - - - taking - 3 b + c to the other side - > 3 b - c = 9 when we add these 2 equations , we get 6 b = 0 - - - > b = 0 and while substituting b = 0 we get c = - 9 . b + c = - 9 - - - answer e"
Answer: e
Question (physics): a can do a piece of work in 90 days & y can do it in 80 days . they began working together but a leaves after some days and then b completed the remaining work in 46 days . the number of days after which a left the work was ?
Options: a ) 12 days , b ) 18 days , c ) 16 days , d ) 19 days , e ) 21 days
Rationale: a and b did the work for some days . after that , b completed the remaining work in 46 days . in 46 days , word done by b = 1 80 x 46 = 23 45 remaining work = 1 – 23 / 45 = 17 / 45 remaining work is done by both a and b together = 17 / 45 x 90 x 80 / 90 + 80 = 16 days c
Answer: c
Question (general): two numbers are less than a third number by 40 % and 47 % respectively . how much per cent is the second number less than the first ?
Options: a ) 95 % , b ) 88 % , c ) 85 % , d ) 90 % , e ) none of these
Rationale: "here , x = 40 and y = 47 therefore second number = [ [ ( 100 - y ) / ( 100 - x ) ] x 100 ] % of first number = [ [ ( 100 - 47 ) / ( 100 - 40 ) ] x 100 ] % of first number i . e , 88.3 % of the first . answer : b"
Answer: b
Question (gain): by selling 10 pencils for a rupee a man loses 25 % . how many for a rupee should he sell in order to gain 25 % ?
Options: a ) 6 , b ) 9 , c ) 10 , d ) 89 , e ) 81
Rationale: "75 % - - - 10 125 % - - - ? 75 / 125 * 10 = 6 answer : a"
Answer: a
Question (general): 1 / 0.05 is equal to
Options: a ) 25.5 , b ) 2.5 , c ) 25 , d ) 20 , e ) none of these
Rationale: "explanation : 1 / 0.05 = ( 1 * 100 ) / 5 = 100 / 5 = 20 option d"
Answer: d
Question (physics): amit and ananthu can do a work in 15 days and 60 days respectively . amit started the work and left after 3 days . ananthu took over and completed the work . in how many days was the total work completed ?
Options: a ) 38 days , b ) 40 days , c ) 43 days , d ) 45 days , e ) 51 days
Rationale: "amit ’ s one day ’ s work = 1 / 15 amit ’ s 3 day ’ s work = 1 / 15 * 3 = 1 / 5 work left = 1 - 1 / 5 = 4 / 5 ananthu ’ s one day ’ s work = 1 / 60 ananthu can do work in = 4 / 5 * 60 = 48 days so total days = 48 + 3 = 51 days answer : e"
Answer: e
Question (physics): yesterday it took robert 4 hours to drive from city a to city b . today it took robert 2.5 hours to drive back from city в to city a along the same route . if he had saved 15 minutes in both trips , the speed for the round trip would be 70 miles per hour . what is the distance between city a and city b ?
Options: a ) 90 , b ) 120 , c ) 150 , d ) 210 , e ) 300
Rationale: "2 d / 70 = 6 ( because time = 4 + 2.5 - 0.5 hrs ) = > d = 210 answer - d"
Answer: d
Question (physics): a and b together can do a work in 7 days . if a alone can do it in 56 days . in how many days can b alone do it ?
Options: a ) 11 , b ) 8 , c ) 21 , d ) 20 , e ) 25
Rationale: "b 8 1 / 7 â € “ 1 / 56 = 1 / 8 = > 8"
Answer: b
Question (physics): shahrukh starts from barabanki to fatehpur , 1 hour after ajay starts . shahrukh meets kajol 1.5 hours after shahrukh starts . if the speed of shahrukh is at least 20 km / h faster than the speed of kajol . what is the minimum speed of shahrukh to overtake ajay , before he meets kajol ?
Options: a ) 32 , b ) 21 , c ) 27 , d ) none of these , e ) 18
Rationale: explanation : let t be the time after kajol starts , when she meets ajay , then \ inline t = \ frac { 300 } { ( x + y ) } this should be less than 2.5 or ( x + y ) > 120 since y = \ inline \ frac { 3 x } { 2 } \ inline \ rightarrow y > 72 this ( y > 72 ) is greater than 67.5 km / h and hence shahrukh will always overtake ajay before he meets kajol . answer : d
Answer: d
Question (physics): a car gets 20 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 180 kilometers ?
Options: a ) 8.5 gallons , b ) 9 gallons , c ) 6.5 gallons , d ) 5.5 gallons , e ) 6 gallons
Rationale: "each 20 kilometers , 1 gallon is needed . we need to know how many 20 kilometers are there in 180 kilometers ? 180 / 20 = 9 * 1 gallon = 9 gallons correct answer b"
Answer: b
Question (geometry): a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 680 sq . feet , how many feet of fencing will be required ?
Options: a ) 34 , b ) 40 , c ) 68 , d ) 88 , e ) 98
Rationale: "explanation : we have : l = 20 ft and lb = 680 sq . ft . so , b = 34 ft . length of fencing = ( l + 2 b ) = ( 20 + 68 ) ft = 88 ft . answer : d"
Answer: d
Question (general): the average salary of all the workers in a workshop is rs . 8000 . the average salary of 9 technicians is rs . 18000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is :
Options: a ) 22 , b ) 54 , c ) 88 , d ) 37 , e ) 29
Rationale: "explanation : lot the total number of workers be v then , 8 ooov = ( 18000 * 9 ) + 6000 ( v - 9 ) < = > 2000 v = 108000 < = > v = 54 answer : b ) 54"
Answer: b
Question (general): find the sum of first 70 odd numbers
Options: a ) 4900 , b ) 4970 , c ) 4990 , d ) 4980 , e ) 4960
Rationale: "explanation : n 2 = 702 = 4900 answer : option a"
Answer: a
Question (gain): a shopkeeper sold an book offering a discount of 5 % and earned a profit of 25 % . what would have been the percentage of profit earned if no discount was offered ?
Options: a ) 131.6 , b ) 120 , c ) 130 , d ) 110 , e ) 150
Rationale: "let c . p . be $ 100 . then , s . p . = $ 125 let marked price be $ x . then , 95 / 100 x = 125 x = 12500 / 95 = $ 131.6 now , s . p . = $ 131.6 , c . p . = $ 100 profit % = 31.6 % . a"
Answer: a