euclaise/mathqa_programs huggingface dataset:
Problem: a car gets 32 miles to the gallon . if it is modified to use a solar panel , it will use only 80 percent as much fuel as it does now . if the fuel tank holds 12 gallons , how many more miles will the car be able to travel , per full tank of fuel , after it has been modified ?
Options: a ) 84 , b ) 88 , c ) 92 , d ) 96 , e ) 100
Rationale: originally , the distance the car could go on a full tank was 12 * 32 = 384 miles . after it has been modified , the car can go 32 / 0.8 = 40 miles per gallon . on a full tank , the car can go 12 * 40 = 480 miles , thus 96 miles more . the answer is d .
Answer: d
Python program:
a = 32 / 80
b = a * 100
c = b * 12
d = 32 * 12
e = c - d
Problem: john bought 9.25 m of cloth for $ 434.75 . find the cost price per metre .
Options: a ) 46 , b ) 47 , c ) 58 , d ) 56 , e ) 54
Rationale: "cloth bought by john = 9.25 m cost of 9.25 m = $ 434.75 cost per metre = 434.75 ÷ 9.25 the cost of the cloth per metre = $ 47 answers : b"
Answer: b
Python program:
a = 434 / 75
Problem: the average of 60 results is 40 and the average of other 40 results is 60 . what is the average of all the results ?
Options: a ) 24 , b ) 25 , c ) 48 , d ) 50 , e ) none
Rationale: "answer sum of 100 result = sum of 60 result + sum of 40 result . = 60 x 40 + 40 x 60 = 4800 / 100 correct option : c"
Answer: c
Python program:
a = 60 * 40
b = 40 * 60
c = a + b 
d = 60 + 40 
e = c / d
Problem: 3 , 7,12 , 18,25 , . . . . . . . . . . . . . . 6 th terms
Options: a ) 43 , b ) 53 , c ) 63 , d ) 33 , e ) 78
Rationale: "3 + 4 = 7 7 + 5 = 12 12 + 6 = 18 18 + 7 = 25 25 + 8 = 33 answer : d"
Answer: d
Python program:
a = negate - (
Problem: a person was asked to state his age in years . his reply was , ` ` take my age 3 years hence , multiply it by 4 and subtract 4 times my age 3 years ago and you will know how old i am . ' ' what was the age of the person ?
Options: a ) 18 , b ) 92 , c ) 27 , d ) 24 , e ) 19
Rationale: explanation : let the present age of person be x years . then , 4 ( x + 3 ) - 4 ( x - 3 ) = x < = > ( 4 x + 12 ) - ( 4 x - 12 ) = x < = > x = 24 . . answer : d
Answer: d
Python program:
a = 3 * 4
b = 3 * 4
c = a + b
Problem: there are cats got together and decided to kill the mice of 999984 . each cat kills equal number of mice and each cat kills more number of mice than cats there were . then what are the number of cats ?
Options: a ) 941,1009 , b ) 991,1001 , c ) 996,1004 , d ) 791,1009 , e ) 931,1009
Rationale: "999984 can be written as 1000000 â € “ 16 = 10002 â € “ 42 ie of the form a 2 - b 2 = ( a + b ) ( a - b ) = ( 1000 + 4 ) * ( 1000 - 4 ) = ( 1004 ) * ( 996 ) given that number of cats is less than number if mice . so number of cats is 996 and number of mice were 1004 answer c"
Answer: c
Python program:
a = 100 * 10
b = 3 + 2 
c = a + b 
d = 999984 / c
Problem: 100 kg of an alloy a is mixed with 200 kg of alloy b . if alloy a has lead and tin in the ratio 5 : 3 and alloy b has tin and copper in the ratio 2 : 3 , then the amount of tin in the new alloy is ?
Options: a ) 100.6 kg , b ) 120.3 kg , c ) 117.5 kg , d ) 110.8 kg , e ) 114 kg
Rationale: "quantity of tin in 100 kg of a = 100 * 3 / 8 = 37.5 kg quantity of tin in 200 kg of b = 200 * 2 / 5 = 80 kg quantity of tin in the new alloy = 37.5 + 80 = 117.5 kg answer is c"
Answer: c
Python program:
a = 5 + 3 
b = 100 / a
c = b * 3
d = 2 + 3 
e = 200 / d
f = e * 2
g = c + f
Problem: a certain automobile company ’ s best - selling model is the speedster . the speedster , like all of their other models , comes in coupe and convertible styles . 1 / 3 of the current inventory is speedsters , of which 4 / 5 are convertibles . if there are 30 vehicles that are not speedsters , how many speedster convertibles are there ?
Options: a ) 13 , b ) 18 , c ) 12 , d ) 15 , e ) 17
Rationale: "total vehicle = 1 / 3 of speedster + 2 / 3 of others . speedster convertibles = 1 / 3 total vehicle * 4 / 5 given : 2 / 3 constitutes 30 vehicles . hence 1 / 3 constitutes 15 speedster convertibls = 15 * 4 / 5 = 12 c"
Answer: c
Python program:
a = 1 / 3
b = 1 - a
c = 30 / b
d = 1 / 3
e = c * d
f = 4 / 5
g = e * f
Problem: a group of 55 adults and 70 children go for trekking . if there is meal for either 70 adults or 90 children and if 35 adults have their meal , find the total number of children that can be catered with the remaining food .
Options: a ) 33 , b ) 54 , c ) 18 , d ) 45 , e ) 01
Rationale: "explanation : as there is meal for 70 adults and 35 have their meal , the meal left can be catered to 35 adults . now , 70 adults = 90 children 7 adults = 9 children therefore , 35 adults = 45 children hence , the meal can be catered to 45 children . answer : d"
Answer: d
Python program:
a = 70 - 35
b = 90 / 70
c = a * b
Problem: the monthly rent of a shop of dimension 10 feet × 10 feet is rs . 1300 . what is the annual rent per square foot of the shop ?
Options: a ) 43 , b ) 156 , c ) 68 , d ) 87 , e ) 92
Rationale: "sol . monthly rent per square feet = 1300 / ( 10 * 10 ) = 13 & annual rent per square feet = 12 * 13 = 156 answer : b"
Answer: b
Python program:
a = 10 + 2 
b = 1300 / rectangle_area
c = a * b
Problem: a candidate got 35 % of the votes polled and he lost to his rival by 2280 votes . how many votes were cast ?
Options: a ) 7500 , b ) 3388 , c ) 2665 , d ) 2888 , e ) 7600
Rationale: "35 % - - - - - - - - - - - l 65 % - - - - - - - - - - - w - - - - - - - - - - - - - - - - - - 30 % - - - - - - - - - - 2280 100 % - - - - - - - - - ? = > 7600 answer : e"
Answer: e
Python program:
a = 35 / 100
b = 1 - a
c = 35 / 100
d = b - c
e = 2280 / d
Problem: it takes 3 workers a total of 9 hours to build a giant machine with each worker working at the same rate . if 3 workers start to build the machine at 11 : 00 am , and one extra worker per hour is added beginning at 2 : 00 pm , at what time will the machine be complete ?
Options: a ) 5 : 15 , b ) 5 : 26 , c ) 5 : 37 , d ) 5 : 48 , e ) 5 : 59
Rationale: "3 workers build 1 / 9 of a machine in one hour . 1 worker builds 1 / 27 of a machine in one hour . in the first 3 hours , 3 workers build 3 * ( 1 / 27 ) * 3 = 9 / 27 of a machine from 2 : 00 to 3 : 00 , 4 workers build another 4 / 27 . the total is 13 / 27 . from 3 : 00 to 4 : 00 , 5 workers build another 5 / 27 . the total is 18 / 27 . from 4 : 00 to 5 : 00 , 6 workers build another 6 / 27 . the total is 24 / 27 . to build another 3 / 27 , 7 workers need ( 3 / 7 ) * 60 minutes which is about 26 minutes . the machine is complete at about 5 : 26 . the answer is b ."
Answer: b
Python program:
a = 3 * 9
b = a / 9
c = b - const_0_33
Problem: the ratio of the volumes of a cube to that of the sphere which will fit inside the cube is ?
Options: a ) 6.862 kg
b ) 6.838 kg
c ) 6.632 kg
d ) 6.832 kg
e ) 6.834 kg
Rationale: 52 * 40 * 29 = 60320 48 * 36 * 27 = 46650 - - - - - - - - - - - - 13664 13664 * 1 / 2 = 6832 = > 6.832 kg answer : d
Answer: d
Python program:
a = volume_cube / (
Problem: a and b start walking towards each other at 1 pm at speed of 5 kmph and 7 kmph . they were initially 24 km apart . at what time do they meet ?
Options: a ) 4 pm , b ) 6 pm , c ) 3 pm , d ) 10 pm , e ) 5 pm
Rationale: "time of meeting = distance / relative speed = 24 / 7 + 5 = 24 / 12 = 2 hrs after 1 pm = 3 pm answer is c"
Answer: c
Python program:
a = 5 + 7 
b = 24 / a
c = 1 + b
Problem: a train running at the speed of 60 km / hr crosses a pole in 27 seconds . what is the length of the train ?
Options: a ) 186 m , b ) 176 m , c ) 450 m , d ) 150 m , e ) 765 m
Rationale: "speed = ( 60 * 5 / 18 ) m / sec = ( 50 / 3 ) m / sec length of the train = ( speed x time ) = ( 50 / 3 * 27 ) m = 450 m . answer : c"
Answer: c
Python program:
a = 60 * 1000
b = a / 3600
c = b * 27
Problem: fresh grapes contain 75 % by weight while dried grapes contain 25 % water by weight . what is the weight of dry grapes available from 200 kg of fresh grapes ?
Options: a ) 40.00 kg , b ) 45.50 kg , c ) 66.67 kg , d ) 80.56 kg , e ) 90.00 kg
Rationale: "from the question we know : 200 kg * 75 % = 150 kg of water in the fresh grapes 200 kg - 150 kg of water = 50 kg of non - water mass we are looking for the weight of the dry grapes ( x ) . since the question tells us that 25 % of the weight of the dry graps is water and we know that 50 kg is non - water mass we can set up the following equation : x = 1 / 4 ( x ) + 50 kg 3 / 4 ( x ) = 50 kg x = 66.67 kg answer - c"
Answer: c
Python program:
a = 100 - 75
b = a * 200
c = b / 100
d = 100 - 25
e = c / d
f = e * 100
Problem: the ratio of the volumes of two cubes is 1000 : 3375 . what is the ratio of their total surface areas ?
Options: a ) 81 : 121 , b ) 4 : 9 , c ) 729 : 1331 , d ) 27 : 121 , e ) none of these
Rationale: "ratio of the sides = â ³ â ˆ š 1000 : â ³ â ˆ š 3375 = 10 : 15 ratio of surface areas = 10 ^ 2 : 15 ^ 2 = 100 : 225 = 4 : 9 answer : b"
Answer: b
Python program:
a = 1000 / 3375
b = 1 / 3
c = a ** b
Problem: a man goes into a barbershop and gets a $ 15 haircut . he pays the barber with a $ 20 bill , but the barber does n ' t have change because it is an especially slow day . the barber goes to the flower shop next to his own and trades the $ 20 bill for a $ 10 dollar bill and two $ 5 bills . then he gives the man his $ 5 in change . later the lady from the flower shop confronts the barber and tells him that the $ 20 bill he gave her was counterfeit . the barber agrees and he gives the lady a different $ 20 bill . later that day he tries to figure out how much money he lost . what did he lose ?
Options: a ) $ 5 , b ) $ 10 , c ) $ 12 , d ) $ 15 , e ) $ 20
Rationale: he lost $ 5 . the lady from the flower shop gave him $ 20 in change , but eventually got $ 20 back . she broke even . the man who got the haircut gave the barber nothing ( except counterfeit money ) but got $ 5 back from the barber . so the barber lost only $ 5 , and gave a free haircut .
Answer: a
Python program:
a = 20 - 15
Problem: if the cost price of 72 articles is equal to the selling price of 60 articles , then what is the percent profit ?
Options: a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 30 %
Rationale: "let x be the cost price of one article . let y be the selling price of one article . 60 y = 72 x y = 1.2 x the answer is c ."
Answer: c
Python program:
a = 100 * 60
b = a / 72
c = 100 - b
d = 100 * 60
e = d / 72
f = c / e
g = 100 * f
Problem: of all the homes on gotham street , 1 / 3 are termite - ridden , and 5 / 8 of these are collapsing . what fraction of the homes are termite - ridden , but not collapsing ?
Options: a ) 1 / 3 , b ) 1 / 4 , c ) 1 / 5 , d ) 1 / 6 , e ) 1 / 8
Rationale: "the fraction of homes which are termite - infested but not collapsing is 3 / 8 * 1 / 3 = 1 / 8 the answer is e ."
Answer: e
Python program:
a = 1 + 2 
b = 3 * 8
c = a / b
Problem: what will be the compound interest on a sum of rs . 22,000 after 3 years at the rate of 12 % p . a . ?
Options: a ) rs . 8908.42 , b ) rs . 9720 , c ) rs . 10123.20 , d ) rs . 10483.20 , e ) none
Rationale: "amount = [ 22000 * ( 1 + 12 / 100 ) 3 ] = 22000 * 28 / 25 * 28 / 25 * 28 / 25 = rs . 30908.42 c . i . = ( 30908.42 - 22000 ) = rs . 8908.42 answer : a"
Answer: a
Python program:
a = 4 * 100
b = a * 100
c = 12 / 100
d = 1 + c 
e = d ** 3
f = b * e
g = 4 * 100
h = g * 100
i = f - h
Problem: of the votes cast on a certain proposal , 68 more were in favor of the proposal than were against it . if the number of votes against the proposal was 40 percent of the total vote , what was the total number of votes cast ? ( each vote cast was either in favor of the proposal or against it . )
Options: a ) 300 , b ) 340 , c ) 380 , d ) 420 , e ) 460
Rationale: "let x be the total number of votes cast . 0.6 x = 0.4 x + 68 0.2 x = 68 x = 340 the answer is b ."
Answer: b
Python program:
a = 40 / 100
b = 1 - a
c = 40 / 100
d = b - c
e = 68 / d
Problem: a box is in the shape of a semicircle with a radius of 12 . what is the approximate perimeter of the semicircle ?
Options: a ) 54
b ) 62
c ) 25
d ) 34
e ) 60
Rationale: perimeter of a circle = 2 pi * r perimeter of a semicircle = pi * r + 2 r aprox perimiter = 3.14 * 12 + 2 * 12 = 61.68 approximately 62 answer b
Answer: b
Python program:
a = math.pi * 12
b = 2 * 12
c = a + b
Problem: a certain electric - company plan offers customers reduced rates for electricity used between 8 p . m . and 8 a . m . weekdays and 24 hours a day saturdays and sundays . under this plan , the reduced rates x apply to what fraction of a week ?
Options: a ) 1 / 2 , b ) 5 / 8 , c ) 9 / 14 , d ) 16 / 21 , e ) 9 / 10
Rationale: "number of hours between 8 pm to 8 am = 12 number of hours with reduced rates = ( 12 * 5 ) + ( 24 * 2 ) hours with reduced rates x / total number of hours in a week = ( 12 * 5 ) + ( 24 * 2 ) / ( 24 * 7 ) = 108 / ( 24 * 7 ) = 9 / 14 answer : c"
Answer: c
Python program:
a = 24 / 2
b = 2 + 3 
c = a * b
d = 24 * 2
e = c + d 
f = 3 + 4 
g = 24 * f
h = e / g
Problem: in traveling from a dormitory to a certain city , a student went 1 / 5 of the way by foot , 2 / 3 of the way by bus , and the remaining 4 kilometers by car . what is the distance , in kilometers , from the dormitory to the city ?
Options: a ) 30 , b ) 45 , c ) 60 , d ) 90 , e ) 120
Rationale: "whole trip = distance by foot + distance by bus + distance by car x = 1 / 5 x + 2 / 3 x + 4 x - 13 / 15 x = 4 2 / 15 x = 4 = > so x = ( 15 / 2 ) * 4 = 30 km answer a"
Answer: a
Python program:
a = 1 / 5
b = 2 / 3
c = a + b 
d = 1 - c
e = 1/(d)
f = 4 * e
Problem: a tree of height 36 m is on one edge of a road broke at a certain height . it fell in such a way that the top of the tree touches the other edge of the road . if the breadth of the road is 12 m , then what is the height at which the tree broke ?
Options: a ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 20
Rationale: let the tree was broken at x meters height from the ground and 36 - x be the length of other part of the tree . from the diagram , ( 36 − x ) 2 = x 2 + 122 ( 36 − x ) 2 = x 2 + 122 ⇒ 1296 − 72 x + x 2 = x 2 + 144 ⇒ 1296 − 72 x + x 2 = x 2 + 144 ⇒ 72 x = 1296 − 144 ⇒ 72 x = 1296 − 144 ⇒ x = 16 answer : a
Answer: a
Python program:
a = 36 ** 2
b = 12 ** 2
c = a - b
d = 36 * 2
e = c / d
Problem: if y is the smallest positive integer such that 3,675 multiplied by y is the square of an integer , then y must be
Options: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 12
Rationale: "i just tried plugging in the numbers and found out that 12 * 3675 = 44 , 100 , which is a square of 210 e"
Answer: e
Python program:
a = 2 + 3 
b = a * 2
Problem: if a person walks at 16 km / hr instead of 12 km / hr , he would have walked 20 km more . the actual distance traveled by him is ?
Options: a ) 50 , b ) 65 , c ) 70 , d ) 61 , e ) 60
Rationale: "let the actual distance traveled be x km . then , x / 12 = ( x + 20 ) / 16 x - 60 = > x = 60 km . answer : e"
Answer: e
Python program:
a = 16 - 12
b = 20 / a
c = 12 * b
Problem: a man is 29 years older than his son . in two years , his age will be twice the age of his son . the present age of his son is :
Options: a ) 14 years , b ) 18 years , c ) 20 years , d ) 27 years , e ) 16 years
Rationale: "let the son ' s present age be x years . then , man ' s present age = ( x + 24 ) years . ( x + 29 ) + 2 = 2 ( x + 2 ) x + 31 = 2 x + 4 x = 27 . answer : d"
Answer: d
Python program:
a = 2 * 2
b = a - 2
c = 29 - b
d = 2 - 1
e = c / d
Problem: the average of 25 results is 18 . the average of first 12 of them is 10 and that of last 12 is 20 . find the 13 th result ?
Options: a ) 60 , b ) 75 , c ) 90 , d ) 100 , e ) 110
Rationale: 13 th result = sum of 25 results - sum of 24 results = 18 * 25 - 12 * 10 - 12 * 20 = 450 - 120 - 240 = 90 answer is c
Answer: c
Python program:
a = 25 * 18
b = 12 * 20
c = a - b
d = 12 * 10
e = c - d
Problem: the average weight of a group of boys is 30 kg . after a boy of weight 36 kg joins the group , the average weight of the group goes up by 1 kg . find the number of boys in the group originally ?
Options: a ) a ) 5 , b ) b ) 8 , c ) c ) 6 , d ) d ) 2 , e ) e ) 1
Rationale: "let the number off boys in the group originally be x . total weight of the boys = 30 x after the boy weighing 36 kg joins the group , total weight of boys = 30 x + 36 so 30 x + 36 = 31 ( x + 1 ) = > x = 5 . answer : a"
Answer: a
Python program:
a = 30 + 1 
b = 36 - a
c = b + 1
Problem: a contractor is engaged for 30 days on the condition thathe receives rs . 25 for each day he works & is fined rs . 7.50 for each day is absent . he gets rs . 685 in all . for how many days was he absent ?
Options: a ) 8 , b ) 10 , c ) 2 , d ) 17 , e ) 19
Rationale: "30 * 25 = 750 685 - - - - - - - - - - - 65 25 + 7.50 = 32.5 62 / 32.5 = 2 c"
Answer: c
Python program:
a = 7 * 50
b = a + 685 
c = 7 + 50 
d = b / c
e = 30 - d
Problem: a box measuring 72 inches long by 48 inches wide by 24 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ?
Options: a ) 17 , b ) 18 , c ) 54 , d ) 108 , e ) 162
Rationale: "least number of cubes will be required when the cubes that could fit in are biggest . 8 is the biggest number that could divide all three , 72 , 48 and 24 . thus side of cube must be 8 , and total number of cubes = 72 / 8 * 48 / 8 * 24 / 8 = 162 ans e it is ."
Answer: e
Python program:
a = 72 * 48
b = a * 24
c = 24 / 2
d = b / volume_cube
Problem: 80 370 860 1550 2440 ?
Options: a ) 900 , b ) 840 , c ) 750 , d ) 860 , e ) 3530
Rationale: "10 ^ 2 - 20 = 80 20 ^ 2 - 30 = 370 30 ^ 2 - 40 = 860 40 ^ 2 - 50 = 1550 50 ^ 2 - 60 = 2440 60 ^ 2 - 70 = 3530 . answer : e"
Answer: e
Python program:
a = 370 / 860
b = 80 + a 
c = b * 1550
d = c / 100
Problem: if the cost price of 12 articles is same as the selling price of 25 articles . find the gain or loss percentage ?
Options: a ) 30 % gain , b ) 30 % loss , c ) 40 % gain , d ) 40 % loss , e ) 52 % loss
Rationale: "explanation : 12 cp = 25 sp cost price cp = 25 selling price sp = 12 formula = ( sp - cp ) / cp * 100 = ( 12 - 25 ) / 25 * 100 = 52 % loss answer : option e"
Answer: e
Python program:
a = 100 * 25
b = a / 12
c = 100 - b
d = 100 * 25
e = d / 12
f = c / e
g = 100 * f
Problem: the cost of an article is decreased by 50 % . if the original cost is $ 200 , find the decrease cost .
Options: a ) 330 , b ) 200 , c ) 150 , d ) 100 , e ) 91
Rationale: original cost = $ 200 decrease in it = 50 % of $ 200 = 50 / 100 ã — 200 = 10000 / 100 = $ 100 therefore , decrease cost = $ 200 - $ 100 = $ 100 answer : d
Answer: d
Python program:
a = 200 * 50
b = a / 100
Problem: what is the 16 th digit to the right of the decimal point in the decimal expansion of 1 / 37 ?
Options: a ) 0 , b ) 2 , c ) 4 , d ) 7 , e ) 9
Rationale: "1 / 37 = 0.027027 . . . so , we have a repeating cycle of 027 . every third digit ( 2 nd , 4 th , 6 th , . . . ) to the right of the decimal point is alternating by 2 , 0 , 7 thus 16 th digit is 0 . answer : a ."
Answer: a
Python program:
a = 1 / 37
Problem: of the 3 - digit integers greater than 700 , how many have two digits t that are equal to each other and the remaining digit different from the other two ?
Options: a ) 90 , b ) 82 , c ) 80 , d ) 45 , e ) 36
Rationale: three - digit integers greater than 700 : 701 to 999 , inclusive . possible values for hundreds - digit - - > 7 , 89 possible values for tens - digit and ones - digit - - > 0 , 1 , 23 , 45 , 67 , 89 when hundreds - digit and tens - digit are the same : ( 3 x 1 x 10 ) - 3 = 27 - - - > we minus three to exclude 777 , 888 and 999 when hundreds - digit and ones - digit are the same : ( 3 x 10 x 1 ) - 3 = 27 - - - > we minus three to exclude 777 , 888 and 999 when tens - digit and hundreds - digit are the same : [ ( 3 x 10 x 1 ) - 3 ] - 1 = 26 - - - > we minus three to exclude 777 , 888 and 999 ; we minus one to exclude 700 t = 27 + 27 + 26 = 80 answer : c
Answer: c
Python program:
a = 1000 - 700
b = a - 1
c = 700 / 100
d = 10 - c
e = 10 - 1
f = d * e
g = 10 - 2
h = f * g
i = h + 3 
j = b - i
Problem: the ages of two person differ by 20 years . if 5 years ago , the elder one be 5 times as old as the younger one , their present ages ( in years ) are respectively
Options: a ) 30 , 10 , b ) 25 , 5 , c ) 29 , 9 , d ) 50 , 30 , e ) 20,10
Rationale: "let their ages be x and ( x + 20 ) years . then , 5 ( x - 5 ) = ( x + 20 - 5 ) = > 4 x = 40 = > x = 10 their present ages are 30 years and 10 year . answer : a"
Answer: a
Python program:
a = 5 * 5
b = 20 - 5
c = a + b 
d = 5 - 1
e = c / d
f = e + 20
Problem: what profit percent is made by selling an article at a certain price , if by selling at 2 / 3 rd of that price , there would be a loss of 10 % ?
Options: a ) 20 % , b ) 28 % , c ) 27 % , d ) 35 % , e ) 70 %
Rationale: "sp 2 = 2 / 3 sp 1 cp = 100 sp 2 = 90 2 / 3 sp 1 = 90 sp 1 = 135 100 - - - 35 = > 35 % answer : d"
Answer: d
Python program:
a = 100 - 10
b = 2 / 3
c = a / b
d = c - 100
Problem: out of 40 applicants to a law school , 15 majored in political science , 20 had a grade point average higher than 3.0 , and 10 did not major in political science and had a gpa equal to or lower than 3.0 . how many w applicants majored in political science and had a gpa higher than 3.0 ?
Options: a ) 5 , b ) 10 , c ) 15 , d ) 25 , e ) 35
Rationale: "total applicants = 40 political science = 15 and non political science = 40 - 15 = 25 gpa > 3.0 = 20 and gpa < = 3.0 = 20 10 non political science students had gpa < = 3.0 - - > 15 non political science students had gpa > 3.0 gpa > 3.0 in political science = total - ( gpa > 3.0 in non political science ) w = 20 - 15 = 5 answer : a"
Answer: a
Python program:
a = 10 + 15 
b = 40 - a
c = 20 - b
Problem: the average weight of 10 men is increased by 1 ½ kg when one of the men who weighs 58 kg is replaced by a new man . what is the weight of the new man ?
Options: a ) 80 kg , b ) 73 kg , c ) 70 kg , d ) 75 kg , e ) 85 kg
Rationale: "since the average has increased by 1.5 kg , the weight of the man who stepped in must be equal to 58 + 10 x 1.5 58 + 15 = 73 kg ans : ' b '"
Answer: b
Python program:
a = 1 / 1
b = 1 + a 
c = 10 * b
d = 58 + c
Problem: the price of a car and ac are in the ratio 3 : 2 . if the scooter costs $ 500 more than the ac . then the price of the ac ?
Options: a ) 1500 , b ) 200 , c ) 1700 , d ) 2000 , e ) 2500
Rationale: let the price of the car and ac is 3 x and 2 x 3 x - 2 x = 500 x = 500 price of ac = 3 * 500 = $ 1500 answer is a
Answer: a
Python program:
a = 500 * 3
Problem: a shopkeeper sold an article offering a discount of 4 % and earned a profit of 44 % . what would have been the percentage of profit earned if no discount was offered ?
Options: a ) 24 , b ) 28 , c ) 30 , d ) 32 , e ) 50
Rationale: "let c . p . be rs . 100 . then , s . p . = rs . 144 let marked price be rs . x . then , 96 / 100 x = 144 x = 14400 / 96 = rs . 150 now , s . p . = rs . 150 , c . p . = rs . 100 profit % = 50 % . answer : e"
Answer: e
Python program:
a = 100 + 44 
b = a * 100
c = 100 - 4
d = b / c
e = d - 100
Problem: the cost per pound of green tea and coffee were the same in june . in july , the price of coffee shot up by 100 % and that of green tea dropped by 70 % . if in july , a mixture containing equal quantities of green tea and coffee costs $ 3.45 for 3 lbs , how much did a pound of green tea cost in july ?
Options: a ) $ 4 , b ) $ 0.3 , c ) $ 1 , d ) $ 3 , e ) $ 1.65
Rationale: lets assume price of coffee in june = 100 x price of green tea in june = 100 x price of coffee in july = 200 x ( because of 100 % increase in price ) price of green tea in july = 30 x ( because of 70 % decrease in price ) price of 1.5 pound of coffee 1.5 pound of green tea in july will be = 300 x + 45 x = 345 x as per question 345 x = 3.45 $ x = 0.01 s so the price of tea in july = 30 x = 30 x 0.01 = 0.3 $ / pound answer b
Answer: b
Python program:
a = 100 + 100 
b = a / 100
c = 3 / 2
d = b * c
e = 3 / 2
f = 100 - 70
g = f / 100
h = e * g
i = d + h 
j = i / 3
k = 100 - 70
l = k / 100
m = j * l
Problem: the average weight of 10 oarsmen in a boat is increased by 1.8 kg when one of the crew , who weighs 53 kg is replaced by a new man . find the weight of the new man .
Options: a ) 69 , b ) 72 , c ) 75 , d ) 71 , e ) none of them
Rationale: "total weight increased = ( 1.8 x 10 ) kg = 18 kg . : . weight of the new man = ( 53 + 18 ) kg = 71 kg . answer is d"
Answer: d
Python program:
a = 1 * 8
b = a + 53