euclaise/mathqa_programs huggingface dataset:
Problem: of the final grades received by the students in a certain math course , 1 / 5 are a ' s , 1 / 4 are b ' s , 1 / 2 are c ' s , and the remaining 5 grades are d ' s . what is the number of students in the course ?
Options: a ) 80 , b ) 110 , c ) 160 , d ) 100 , e ) 400
Rationale: "we start by creating a variable for the total number of students in the math course . we can say : t = total number of students in the math course next , we can use variable t in an equation that we translate from the given information . we are given that , of the final grades received by the students in a certain math course , 1 / 5 are a ' s , 1 / 4 are b ' s , 1 / 2 are c ' s , and the remaining 5 grades are d ' s . since this represents all the grades in the class , it represents all the students in the class . thus we know : # a ’ s + # b ’ s + # c ’ s + # d ’ s = total number of students in the class 1 / 5 ( t ) + ¼ ( t ) + ½ ( t ) + 5 = t we can multiply the entire equation by 20 to cancel out the denominators of the fractions and we have : 4 t + 5 t + 10 t + 100 = 20 t 19 t + 100 = 20 t 100 = t there are a total of 100 students in the math class . answer is d ."
Answer: d
Python program:
a = 1 / 5
b = 1 / 4
c = a + b 
d = 1 / 2
e = c + d 
f = 1 - e
g = 5 / f
Problem: the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 11 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ?
Options: a ) 23 years , b ) 24 years , c ) 25 years , d ) 26 years , e ) 27 years
Rationale: "explanation let the average age of the whole team by x years . 11 x â € “ ( 26 + 40 ) = 9 ( x - 1 ) 11 x â € “ 9 x = 54 2 x = 54 x = 27 . so , average age of the team is 27 years . answer e"
Answer: e
Python program:
a = 26 + 11 
b = 26 + a 
c = 11 * 11
d = b - c
e = d / 2
Problem: the area of one square is x ^ 2 + 12 x + 36 and the area of another square is 4 x ^ 2 − 12 x + 9 . if the sum of the perimeters of both squares is 64 , what is the value of x ?
Options: a ) 0 , b ) 4.3 , c ) 2.5 , d ) 4.67 , e ) 10
Rationale: spotting the pattern of equations both are in form of ( x + c ) ^ 2 so a 1 = ( x + 6 ) ^ 2 a 2 = ( 2 x - 3 ) ^ 2 l 1 = x + 6 l 2 = 2 x - 3 p 1 = 4 ( x + 6 ) p 2 = 4 ( 2 x - 3 ) p 1 + p 2 = 64 4 ( x + 6 ) + 4 ( 2 x - 3 ) = 64 . . . . . . . . . . . . . . > x = 4.3 answer : b
Answer: b
Python program:
a = 12 / 2
b = 4 * a
c = b - 12
d = 64 - c
e = d / 12
Problem: in one hour , a boat goes 6 km along the stream and 2 km against the stream . the sped of the boat in still water ( in km / hr ) is :
Options: a ) 4 , b ) 5 , c ) 8 , d ) 9 , e ) 10
Rationale: "solution speed in still water = 1 / 2 ( 6 + 2 ) km / hr = 4 kmph . answer a"
Answer: a
Python program:
a = 6 + 2 
b = a / 2
Problem: on the first day of her vacation , louisa traveled 200 miles . on the second day , traveling at the same average speed , she traveled 350 miles . if the 200 - mile trip took 3 hours less than the 350 - mile trip , what was the average speed , in miles per hour ?
Options: a ) 45 , b ) 55 , c ) 60 , d ) 65 , e ) 50
Rationale: "( time ) * ( rate ) = ( distance ) - - > ( rate ) = ( distance ) / ( time ) - - > given : ( rate ) = 200 / t = 350 / ( t + 3 ) - - > 4 / t = 7 / ( t + 3 ) - - > 4 t + 12 = 7 t - - - - > 3 t = 12 . t = 4 - - - - > ( rate ) = 200 / 4 = 50 answer : e"
Answer: e
Python program:
a = 350 - 200
b = a / 3
Problem: while working alone at their respective constant rates , server g uploads 480 files in 4 hours and server y uploads 480 files in 8 hours . if all files uploaded by these servers are the same size , how long would it take the two servers , working at the same time and at their respective constant rates , to process a total of 480 files ?
Options: a ) 2 hr , b ) 2 hr 20 min , c ) 2 hr 40 min , d ) 5 hr 40 min , e ) 6 hr
Rationale: server g processes 480 / 4 files per hour = 120 per hour server y processes 180 / 8 files per hour = 60 per hour total files processed per hour when g and y work together = 120 + 60 per hour = 180 files per hour 480 / 180 = 2 2 / 3 hours = c
Answer: c
Python program:
a = 2 * 100
b = 480 / 4
c = 480 / 8
d = b + c 
e = 480 / d
f = e - 2
g = const_60 * f
h = a + g
Problem: two numbers are respectively 40 % and 60 % more than a third number . what percentage is the first of the second ?
Options: a ) 72 % , b ) 87.5 % , c ) 63.7 % , d ) 56.9 % , e ) 90 %
Rationale: "required answer = ( 100 + x ) / ( 100 + y ) * 100 = 140 * 100 / 160 = 87.5 % answer is b"
Answer: b
Python program:
a = 40 + 100 
b = 60 + 100 
c = a / b
d = c * 100
e = 100 - d
Problem: if rs . 578 be divided among a , b , c in such a way that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets , then their shares are respectively ?
Options: a ) s . 300 , b ) s . 408 , c ) s . 389 , d ) s . 368 , e ) s . 323
Rationale: "( a = 2 / 3 b and b = 1 / 4 c ) = a / b = 2 / 3 and b / c = 1 / 4 a : b = 2 : 3 and b : c = 1 : 4 = 3 : 12 a : b : c = 2 : 3 : 12 a ; s share = 578 * 2 / 17 = rs . 68 b ' s share = 578 * 3 / 17 = rs . 102 c ' s share = 578 * 12 / 17 = rs . 408 . answer : b"
Answer: b
Python program:
a = 2 / 3
b = 1 / 4
c = a * b
d = 1 / 4
e = c + d 
f = e + 1 
g = 578 / f
Problem: the ratio between the number of sheep and the number of horses at the stewar farm is 6 to 7 . if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day . what is number sheep in the form ? ?
Options: a ) 18 , b ) 28 , c ) 32 , d ) 48 , e ) 58
Rationale: "et no of sheep and horses are 6 k and 7 k no of horses = 12880 / 230 = 56 now 7 k = 56 and k = 8 no of sheep = ( 6 * 8 ) = 48 answer : d"
Answer: d
Python program:
a = 12880 / 230
b = a / 7
c = b * 6
Problem: a man swims downstream 40 km and upstream 56 km taking 8 hours each time , what is the speed of the man in still water ?
Options: a ) 6 , b ) 24 , c ) 8 , d ) 12 , e ) 44
Rationale: "40 - - - 8 ds = 5 ? - - - - 1 56 - - - - 8 us = 7 ? - - - - 1 m = ? m = ( 5 + 7 ) / 2 = 6 answer : a"
Answer: a
Python program:
a = 56 / 8
b = 40 / 8
c = a + b 
d = c / 2
Problem: 4 / 6 of the population of the country of venezia lives in montague province , while the rest lives in capulet province . in the upcoming election , 80 % of montague residents support romeo , while 70 % of capulet residents support juliet ; each resident of venezia supports exactly one of these two candidates . rounded if necessary to the nearest percent , the probability that a juliet supporter chosen at random resides in capulet is
Options: a ) 28 % , b ) 41 % , c ) 45 % , d ) 64 % , e ) 78 %
Rationale: "total population = 60 ( assume ) . 4 / 6 * 60 = 40 people from montague . 2 / 6 * 60 = 20 people from capulet . 0.2 * 40 = 8 people from montague support juliet . 0.7 * 20 = 14 people from capulet support juliet . the probability that a juliet supporter chosen at random resides in capulet is 14 / ( 8 + 14 ) = ~ 64 . answer : d"
Answer: d
Python program:
a = 70 / 100
b = 6 - 4
c = b / 6
d = a * c
e = 100 - 80
f = e / 100
g = 4 / 6
h = f * g
i = 70 / 100
j = 6 - 4
k = j / 6
l = i * k
m = h + l 
n = d / m
o = n * 100
Problem: if a certain number x is divided by 82 , the reminder is 5 . what is the reminder when x + 3 is divided by 41 ?
Options: a ) 3 , b ) 5 , c ) 6 , d ) 16 , e ) 18
Rationale: "x can be written as 82 k + 5 or x = 5 , 87,169 , etc . x + 3 = 82 k + 5 + 3 = 82 k + 8 or x + 3 = 8 , 90,172 etc . when divided by 41 , we will get the remainder 8 . e"
Answer: e
Python program:
a = 5 + 3
Problem: alfred buys an old scooter for $ 4400 and spends $ 800 on its repairs . if he sells the scooter for $ 5800 , his gain percent is ?
Options: a ) 5.45 % , b ) 6.23 % , c ) 7 % , d ) 8.12 % , e ) 11.5 %
Rationale: "c . p . = 4400 + 800 = $ 5200 s . p . = $ 5800 gain = 5800 - 5200 = $ 600 gain % = 600 / 5200 * 100 = 11.5 % answer is e"
Answer: e
Python program:
a = 4400 + 800 
b = 5800 - a
c = 4400 + 800 
d = b / c
e = d * 100
Problem: a 1100 m long train crosses a tree in 110 sec , how much time will it take to pass a platform 700 m long ?
Options: a ) 288 , b ) 190 , c ) 188 , d ) 180 , e ) 12
Rationale: l = s * t s = 1100 / 110 s = 10 m / sec . total length ( d ) = 1800 m t = d / s t = 1800 / 10 t = 180 sec answer : d
Answer: d
Python program:
a = 1100 + 700 
b = 1100 / 110
c = a / b
Problem: if rs . 440 amount to rs . 540 in 4 years , what will it amount to in 6 years at the same rate % per annum ?
Options: a ) s . 575 , b ) s . 595 , c ) s . 590 , d ) s . 580 , e ) s . 585
Rationale: "80 = ( 440 * 4 * r ) / 100 r = 5.68 % i = ( 440 * 6 * 5.68 ) / 100 = 150 440 + 150 = 590 answer : c"
Answer: c
Python program:
a = 540 - 440
b = a * 6
c = 540 - 440
d = b - c
Problem: what is the remainder when 43 ^ 92 is divided by 5 ?
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Rationale: "the units digit of the exponents of 3 cycle in a group of 4 : { 3 , 9 , 7 , 1 } 92 has the form 4 k so the units digit of 43 ^ 92 is 1 . the remainder when dividing by 5 is 1 . the answer is b ."
Answer: b
Python program:
a = 5 / 2
b = 43 * 43
c = a - b
Problem: the average weight of 29 students is 28 kg . by the admission of a new student , the average weight is reduced to 27.8 kg . the weight of the new student is
Options: a ) 22 kg , b ) 21.6 kg , c ) 22.4 kg , d ) 21 kg , e ) 23 kg
Rationale: "the total weight of 29 students = 29 * 28 the total weight of 30 students = 30 * 27.8 weight of the new student = ( 30 * 27.8 – 29 * 28 ) = 834 - 812 = 22 answer : a"
Answer: a
Python program:
a = 29 + 1 
b = a * 27
c = 29 * 28
d = b - c
Problem: in the quadratic equation ax 2 - x - 12 = 0 , if the sum of two roots is 1 , what is the product of the two roots ?
Options: a ) - 12 , b ) - 6 , c ) 12 , d ) 6 , e ) 24
Rationale: explanation : the sum of the roots of the quadratic equation ax 2 + bx + c = 0 are ( - b / a ) and the product of the roots are ( c / a ) . thus , in the equation ax 2 - 11 x + 40 = 0 , where a = a , b = - 1 and c = - 12 . we get , sum of the roots = 1 / a = 1 a = 1 product of the roots = - 12 / 1 = - 12 answer : a
Answer: a
Python program:
a = 12 / 3
b = 12 / 4
c = a * negate
Problem: a book is bought for $ 60 and sold for $ 63 . what is the profit in percentage ?
Options: a ) 3 , b ) 5 , c ) 7 , d ) 9 , e ) 11
Rationale: "63 / 60 = 1.05 the answer is b ."
Answer: b
Python program:
a = 63 - 60
b = a / 60
c = b * 100
Problem: for any integer n greater than 1 , n * denotes the product of all the integers from 1 to n , inclusive . how many prime numbers e are there between 6 * + 2 and 6 * + 6 , inclusive ?
Options: a ) none , b ) one , c ) two , d ) three , e ) four
Rationale: "given that n * denotes the product of all the integers from 1 to n , inclusive so , 6 * + 2 = 6 ! + 2 and 6 * + 6 = 6 ! + 6 . now , notice that we can factor out 2 our of 6 ! + 2 so it can not be a prime number , we can factor out 3 our of 6 ! + 3 so it can not be a prime number , we can factor out 4 our of 6 ! + 4 so it can not be a prime number , . . . the same way for all numbers between 6 * + 2 = 6 ! + 2 and 6 * + 6 = 6 ! + 6 , inclusive . which means that there are no primes e in this range . answer : a ."
Answer: a
Python program:
a = math.factorial(6)
b = a + 6 
c = math.factorial(6)
d = c + 6 
e = b / d
Problem: in the science city , kolkata the rate of the ticket is increased by 50 % to increased the revenue but simultaneously 20 % of the visitor decreased . what is percentage change in the revenue . if it is known that the science city collects one revenue only from the visitors and it has no other financial supports :
Options: a ) + 20 % , b ) - 25 % , c ) + 305 , d ) - 30 % , e ) can not determined
Rationale: solution : let the initial revenue be 100 . 100 - - - - - 50 % ↑ ( ticket up ) - - - - - > 150 - - - - - 20 % ↓ ( visitors down ) - - - - - > 120 . there is 20 % increase in the revenue . answer : option a
Answer: a
Python program:
a = 100 + 50 
b = 100 - 20
c = a * b
d = 100 * 100
e = c - d
f = e / 100
Problem: 81 * 82 * 83 * 84 * 85 * 86 * 87 * 89 . what should be in the unit place in this product ?
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Rationale: it should be zero in the unit place in this product . 85 * 82 will give zero in unit place . answer : a
Answer: a
Python program:
a = 3 + 4 
b = a * 2
Problem: how many zeros does 500 ! end with ?
Options: a ) 201 , b ) 240 , c ) 124 , d ) 125 , e ) 180
Rationale: "according to above 500 ! has 500 / 5 + 500 / 25 + 500 / 125 = 100 + 20 + 4 = 124 trailing zeros . answer : c ."
Answer: c
Python program:
a = 4 + 1 
b = 500 / a
c = 4 + 1 
d = 500 - c
e = 4 + 1 
f = e ** 2
g = d / f
h = b + g 
i = 4 + 1 
j = 500 - i
k = 4 + 1 
l = k ** 3
m = j / l
n = h + m
Problem: if the sum of two positive integers is 12 and the difference of their squares is 48 , what is the product of the two integers ?
Options: a ) 32 , b ) 119 , c ) 128 , d ) 135 , e ) 143
Rationale: "let the 2 positive numbers x and y x + y = 12 - - 1 x ^ 2 - y ^ 2 = 48 = > ( x + y ) ( x - y ) = 48 - - 2 using equation 1 in 2 , we get = > x - y = 4 - - 3 solving equation 1 and 3 , we get x = 8 y = 4 product = 8 * 4 = 32 answer a"
Answer: a
Python program:
a = 48 / 12
b = 12 - a
c = 48 / 12
d = b / c
e = 48 / 12
f = 12 - e
g = 48 / 12
h = f / g
i = 48 / 12
j = h + i 
k = d * j
Problem: john makes $ 50 a week from his job . he earns a raise and now makes $ 80 a week . what is the % increase ?
Options: a ) 16 % , b ) 16.66 % , c ) 17.9 % , d ) 18.12 % , e ) 60 %
Rationale: "increase = ( 30 / 50 ) * 100 = ( 3 / 5 ) * 100 = 60 % . e"
Answer: e
Python program:
a = 80 - 50
b = a / 50
c = b * 100
Problem: a man can row downstream at 16 kmph and upstream at 10 kmph . find the speed of the man in still water and the speed of stream respectively ?
Options: a ) 3 , b ) 5 , c ) 6 , d ) 4 , e ) 9
Rationale: "let the speed of the man in still water and speed of stream be x kmph and y kmph respectively . given x + y = 16 - - - ( 1 ) and x - y = 10 - - - ( 2 ) from ( 1 ) & ( 2 ) 2 x = 26 = > x = 13 , y = 3 . answer : a"
Answer: a
Python program:
a = 16 + 10 
b = a / 2
c = b / 2
Problem: a pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer ’ s suggested retail price . if during a sale , the store discounts an additional 20 percent from the discount price , what would be the lowest possible price of a container of pet food that had a manufacturer ’ s suggested retail price o f $ 45.00 ?
Options: a ) $ 10.00 , b ) $ 11.20 , c ) $ 14.40 , d ) $ 25.20 , e ) $ 18.00
Rationale: "for retail price = $ 45 first maximum discounted price = 45 - 30 % of 45 = 45 - 13.5 = 31.5 price after additional discount of 20 % = 31.5 - 20 % of 31.5 = 31.5 - 6.3 = 25.2 answer : option d"
Answer: d
Python program:
a = 100 - 20
b = a / 100
c = 100 - 30
d = c / 100
e = d * 45
f = b * e
Problem: in a group of 150 people , 90 have an age of more 30 years , and the others have an age of less than 20 years . if a person is selected at random from this group , what is the probability the person ' s age is less than 20 ?
Options: a ) 0.4 , b ) 0.5 , c ) 0.65 , d ) 0.75 , e ) 0.85
Rationale: "number of people whose age is less than 20 is given by 150 - 90 = 60 probability p that a person selected at random from the group is less than 20 is given by 60 / 150 = 0.4 correct answer a"
Answer: a
Python program:
a = 150 - 90
b = a / 150
Problem: the sum of the first 50 positive even integers is 2550 . what is the sum of the even integers from 202 to 300 inclusive ?
Options: a ) 5,150 , b ) 7,550 , c ) 10,150 , d ) 12,550 , e ) 20,150
Rationale: "2 + 4 + 6 + 8 + . . . + 100 = 2550 202 + 204 + . . . + 300 = 50 ( 200 ) + ( 2 + 4 + . . . + 100 ) = 10,000 + 2550 = 12,550 the answer is d ."
Answer: d
Python program:
a = 300 + 202 
b = a / 2
c = 300 - 202
d = c / 2
e = d + 1 
f = b * e
Problem: the average weight of 8 person ' s increases by 3 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ?
Options: a ) 60 kg , b ) 70 kg , c ) 80 kg , d ) 89 kg , e ) 95 kg
Rationale: "total weight increased = ( 8 x 3 ) kg = 24 kg . weight of new person = ( 65 + 24 ) kg = 89 kg . d )"
Answer: d
Python program:
a = 8 * 3
b = a + 65
Problem: a dishonest dealer claims to sell a product at its cost price . he uses a counterfeit weight which is 20 % less than the real weight . further greed overtook him and he added 15 % impurities to the product . find the net profit percentage of the dealer ?
Options: a ) 46.85 % , b ) 43.75 % , c ) 50 % , d ) 56.25 % , e ) 36 %
Rationale: the dealer uses weight which is 20 % less than the real weight . or ( 1 - 1 / 5 ) or 4 / 5 of real weight . it means that he is selling $ 4 worth of product for $ 5 . the dealer then further added 20 % impurities to the product . it means that he is selling $ 5 worth of product for $ 5.75 . so his profit is $ 5.75 - $ 4 = $ 1.75 and his profit percent is ( 1.75 / 4 ) * 100 = 43.75 % answer : - b
Answer: b
Python program:
a = 100 + 15 
b = 100 - 20
c = a / b
d = c - 1
e = d * 100
Problem: if it is assumed that 65 percent of those who receive a questionnaire by mail will respond and 300 responses are needed , what is the minimum number of questionnaires that should be mailed ?
Options: a ) 400 , b ) 420 , c ) 461.5 , d ) 500 , e ) 600
Rationale: "minimum no of mail to be sent for getting 300 responses at 65 % = 300 / 0.65 = 461.5 option c"
Answer: c
Python program:
a = 65 / 100
b = 300 / a
Problem: if the length , breadth and the height of a cuboid are in the ratio 6 : 5 : 4 and if the total surface area is 33300 cm 2 cm 2 , then the length , breadth and height in cms , are respectively .
Options: a ) 90 , 85,60
b ) 85 , 75,60
c ) 90 , 75,70
d ) 90 , 75,60
e ) none
Rationale: explanation : let length = 6 x , breadth = 5 x and height = 4 x in cm 2 ( 6 x × 5 x + 5 x × 4 x + 6 x × 4 x ) = 33300 148 x 2 = 33300 ⇒ x 2 = 33300 / 148 = 225 ⇒ x = 15 length = 90 cm , breadth = 75 cm and height = 60 cm correct option : d
Answer: d
Python program:
a = 6 * 4
b = 6 * 5
c = 5 * 4
d = b + c 
e = a + d 
f = e * 2
g = 33300 / f
h = math.sqrt(g)
i = 6 * h
Problem: a train covers a distance of 14 km in 10 min . if it takes 6 sec to pass a telegraph post , then the length of the train is ?
Options: a ) m , b ) m , c ) m , d ) m , e ) m
Rationale: "speed = ( 14 / 10 * 60 ) km / hr = ( 84 * 5 / 18 ) m / sec = 70 / 3 m / sec . length of the train = 70 / 3 * 6 = 140 m . answer : c"
Answer: c
Python program:
a = 14 / 10
b = a - 6
c = 14 / b
Problem: eight identical machines can produce 360 aluminum cans per hour . if all of the machines work at the same constant rate , how many cans could 5 such machines produce in 2 hours ?
Options: a ) 450 , b ) 750 , c ) 1,800 , d ) 5,900 , e ) 7,500
Rationale: "8 machines / 360 cans = 5 machines / x cans 8 x = 1800 x = 225 ( 225 ) ( 2 hours ) = 450 cans . the answer is a ."
Answer: a
Python program:
a = 2 * 360
b = 5 * 360
c = 4 + 4 
d = b / c
e = 2 * d
f = a - e
Problem: one hour after yolanda started walking from x to y , a distance of 31 miles , bob started walking along the same road from y to x . if yolanda ' s walking rate was 3 miles per hour and bob т ' s was 4 miles per hour , how many miles had bob walked when they met ?
Options: a ) 24 , b ) 23 , c ) 22 , d ) 21 , e ) 16
Rationale: "when b started walking y already has covered 3 miles out of 31 , hence the distance at that time between them was 31 - 3 = 28 miles . combined rate of b and y was 3 + 4 = 7 miles per hour , hence they would meet each other in 28 / 7 = 4 hours . in 6 hours b walked 4 * 4 = 16 miles . answer : e ."
Answer: e
Python program:
a = 31 - 3
b = 3 + 4 
c = a / b
d = c * 4
Problem: two persons a and b can complete a piece of work in 30 days and 45 days respectively . if they work together , what part of the work will be completed in 5 days ?
Options: a ) 5 / 18 , b ) 1 / 6 , c ) 1 / 4 , d ) 1 / 9 , e ) 2 / 6
Rationale: "a ' s one day ' s work = 1 / 30 b ' s one day ' s work = 1 / 45 ( a + b ) ' s one day ' s work = 1 / 30 + 1 / 45 = 1 / 18 the part of the work completed in 5 days = 5 ( 1 / 18 ) = 5 / 18 . answer a"
Answer: a
Python program:
a = 1 / 30
b = 1 / 45
c = a + b 
d = 5 * c
Problem: a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200 . if a store employee applied the 25 percent employee discount to the retail price to buy the recorder , how much did the employee pay for the recorder ?
Options: a ) $ 198 , b ) $ 216 , c ) $ 220 , d ) $ 180 , e ) $ 240
Rationale: wholesale cost of video recorder = 200 $ video recorder was priced at 20 percent above 200 = 240 $ % discount given by store employee = 25 emlpoyee paid = . 75 * 240 = 180 $ answer d
Answer: d
Python program:
a = 200 / 100
b = a * 20
c = 200 + b 
d = 200 / 100
e = d * 20
f = 200 + e 
g = f / 100
h = g * 25
i = c - h
Problem: 789.009 - ? + 56.84 = 215.943
Options: a ) 899.015 , b ) 752.804 , c ) 714.642 , d ) 629.906 , e ) none of these
Rationale: "explanation : 629.906 answer : option d"
Answer: d
Python program:
a = 789 / 9
b = a * 56
c = 1 / 3
d = 789 / 9
e = d * 56
f = c * e
g = b - f
Problem: an seller earns an income of re 3 on the first day of his business . on every subsequent day , he earns an income which is just thrice of that made on the previous day . on the 15 th day of business , he earns an income of :
Options: a ) 19 , b ) 22 , c ) 25 , d ) 20 , e ) 36
Rationale: 2 nd day he earns = 3 ( 2 – 3 ) 3 rd day he earns = 3 ( 3 – 3 ) on 15 th day he earns 3 ( 15 - 3 ) = 36 rupees answer : e
Answer: e
Python program:
a = 15 - 3
b = a * 3
Problem: how much 80 % of 40 is greater than 10 % of 15 ?
Options: a ) 18 , b ) 99 , c ) 19 , d ) 18 , e ) 17
Rationale: "( 80 / 100 ) * 40 – ( 10 / 100 ) * 15 32 - 15 = 17 answer : e"
Answer: e
Python program:
a = 80 * 40
b = a / 100
c = 10 * 15
d = c / 100
e = b - d
Problem: in a certain pond , 50 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 10 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?
Options: a ) 400 , b ) 625 , c ) 250 , d ) 2,500 , e ) 10,000
Rationale: "total fish = x percentage of second catch = ( 10 / 50 ) * 100 = 20 % so , x * 20 % = 50 x = 250 ans . c"
Answer: c
Python program:
a = 10 / 50
b = 50 / a
Problem: a can finish a work in 12 days , b in 9 days and c in 2 days , b and c start the work but are forced to leave after 3 days . the remaining work was done by a in ?
Options: a ) 10 days , b ) 12 days , c ) 6 days , d ) 7 days , e ) 5 days
Rationale: b + c 1 day work = 1 / 9 + 1 / 12 = 7 / 36 work done by b and c in 3 days = 7 / 36 * 3 = 7 / 12 remaining work = 1 - 7 / 12 = 5 / 12 1 / 24 work is done by a in 1 day 5 / 12 work is done by a in 12 * 5 / 12 = 5 days answer is e
Answer: e
Python program:
a = 1 / 9
b = 1 / 2
c = a + b 
d = 1 / c
e = d * 3
Problem: 75 boys can complete a job in 24 days . how many men need to complete the job twice in 20 days
Options: a ) 160 , b ) 170 , c ) 180 , d ) 190 , e ) 200
Rationale: one man can complete the job in 24 * 75 = 1800 days to complete the job twice he would need 3600 days . thus , to complete the job in 20 days , 3600 / 20 = 180 men are needed . answer : c
Answer: c
Python program:
a = 24 * 2
b = a * 75
c = b / 20
Problem: on june 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 4 for each of the past 5 months . if the stock continues to decrease at the same rate for the rest of the year , how many fewer bicycles will be in stock on december 1 than were in stock on january 1 ?
Options: a ) 8 , b ) 12 , c ) 20 , d ) 44 , e ) 36
Rationale: "jan 1 = c feb 1 = c - 4 march 1 = c - 8 april 1 = c - 12 may 1 = c - 16 june 1 = c - 20 july 1 = c - 24 aug 1 = c - 28 sept 1 = c - 32 oct 1 = c - 36 nov 1 = c - 40 dec 1 = c - 44 difference between stock on december 1 than were in stock on january 1 will be - c - ( c - 44 ) = 44 hence answer will be ( d )"
Answer: d
Python program:
a = 10 - 1
b = a * 4