euclaise/mathqa_programs huggingface dataset:
Problem: j is 25 % less than p and 20 % less than t . t is t % less than p . what is the value of t ?
Options: a ) 93.5 , b ) 90 , c ) 6.75 , d ) 6.25 , e ) 2
Rationale: usually we can solve every question of this type by choosing appropriate value of the variable and deriving the value of other related variables . let , p = 400 then j = ( 75 / 100 ) * 400 = 300 also j = ( 80 / 100 ) * t i . e . t = 300 * 100 / 80 = 375 and t = [ 1 - ( t / 100 ) ] * p i . e . 100 - t = 100 * t / p = 100 * 375 / 400 = 93.75 i . e . t = 6.25 answer : option d
Answer: d
Python program:
a = 25 * 25
b = a / 100
Problem: the speed of a car is 90 km in the first hour and 80 km in the second hour . what is the average speed of the car ?
Options: a ) 12 , b ) 75 , c ) 85 , d ) 54 , e ) 15
Rationale: "s = ( 90 + 80 ) / 2 = 85 kmph answer : c"
Answer: c
Python program:
a = 90 + 80 
b = a / 2
Problem: if the price of gasoline increases by 25 % and ron intends to spend only 15 % more on gasoline , by how much % should he reduce the quantity of gasoline that he buys ?
Options: a ) 10 % , b ) 12.5 % , c ) 8 % , d ) 12 % , e ) 6.66 %
Rationale: explanatory answer let the price of 1 litre of gasoline be $ x and let ron initially buy ' y ' litres of gasoline . therefore , he would have spent $ xy on gasoline . when the price of gasoline increases by 25 % , the new price per litre of gasoline is 1.25 x . ron intends to increase the amount he spends on gasoline by 15 % . i . e . , he is willing to spend xy + 15 % of xy = 1.15 xy let the new quantity of gasoline that he can get be ' q ' . then , 1.25 x * q = 1.15 xy or q = 1.15 xy / 1.25 x = 0.92 y . as the new quantity that he can buy is 0.92 y , he gets 0.08 y lesser than what he used to get earlier . or a reduction of 8 % . the correct choice is ( c )
Answer: c
Python program:
a = 15 / 100
b = 1 + a 
c = 25 / 100
d = 1 + c 
e = b / d
f = 1 - e
g = f * 100
Problem: in how many years will a sum of money doubles itself at 10 % per annum on simple interest ?
Options: a ) 70 % , b ) 20 % , c ) 10 % , d ) 28 % , e ) 20 %
Rationale: "p = ( p * 10 * r ) / 100 r = 10 % answer : c"
Answer: c
Python program:
a = 100 / 10
Problem: if x gets 25 % more than y and y gets 20 % more than z , the share of z out of rs . 925 will be :
Options: a ) rs . 300 , b ) rs . 200 , c ) rs . 250 , d ) rs . 350 , e ) none of these
Rationale: "z share = z , y = 1.2 z x = 1.25 ã — 1.2 z , x + y + z = 925 ( 1.25 ã — 1.2 + 1.2 + 1 ) z = 925 3.7 z = 925 , z = 250 answer : . c"
Answer: c
Python program:
a = 25 / 100
b = 1 + a 
c = 20 / 100
d = 1 + c 
e = b * d
f = 20 / 100
g = 1 + f 
h = e + g 
i = h + 1 
j = 925 / i
Problem: what will be the compound interest on a sum of rs . 45,000 after 3 years at the rate of 12 % p . a . ?
Options: a ) s : 10123.19 , b ) s : 10123.29 , c ) s : 10123.20 , d ) s : 18221.76 , e ) s : 10123.12
Rationale: "amount = [ 45000 * ( 1 + 12 / 100 ) 3 ] = 45000 * 28 / 25 * 28 / 25 * 28 / 25 = rs . 63221.76 c . i . = ( 63221.76 - 45000 ) = rs : 18221.76 answer : d"
Answer: d
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: 5 men are equal to as many women as are equal to 8 boys . all of them earn rs . 60 only . men â € ™ s wages are ?
Options: a ) 6 rs , b ) 2 rs , c ) 4 rs , d ) 9 rs , e ) 3 rs
Rationale: "5 m = xw = 8 b 5 m + xw + 8 b - - - - - 60 rs . 5 m + 5 m + 5 m - - - - - 60 rs . 15 m - - - - - - 60 rs . = > 1 m = 4 rs . answer : c"
Answer: c
Python program:
a = 3 * 5
b = 60 / a
Problem: 3034 - ( 1002 / 20.04 ) = ?
Options: a ) 2984 , b ) 2983 , c ) 2982 , d ) 2981 , e ) none of these
Rationale: option a
Answer: a
Python program:
a = 1002 / 20
b = 3034 - a
Problem: the tax on a commodity is diminished by 12 % and its consumption increased by 10 % . the effect on revenue is ?
Options: a ) 8 , b ) 6 , c ) 3 , d ) 5 , e ) 4
Rationale: "100 * 100 = 10000 88 * 110 = 9680 - - - - - - - - - - - 10000 - - - - - - - - - - - 320 100 - - - - - - - - - - - ? = > 3 % decrease answer : c"
Answer: c
Python program:
a = 10 / 100
b = 1 + a 
c = 12 / 100
d = 1 - c
e = b * d
f = e * 100
g = 100 - f
Problem: last year a worker saved 15 % of her annual salary . this year , she made 20 % more money than last year and she saved 25 % of her salary . the amount she saved this year was what percent of the amount she saved last year ?
Options: a ) 120 % , b ) 140 % , c ) 160 % , d ) 180 % , e ) 200 %
Rationale: "let x be the worker ' s salary last year . last year , she saved 0.15 x . this year , she saved 0.25 ( 1.2 x ) = 0.3 x 0.3 x / 0.15 x = 200 % the answer is e ."
Answer: e
Python program:
a = 20 + 100 
b = 25 / 100
c = a * b
d = 15 / c
e = 100 * d
Problem: one pipe can fill a pool 1.25 times faster than a second pipe . when both pipes are opened , they fill the pool in 4 hours . how long would it take to fill the pool if only the slower pipe is used ?
Options: a ) 11.25 , b ) 11.52 , c ) 1.25 , d ) 9 , e ) 7.2
Rationale: "say the rate of the slower pipe is r pool / hour , then the rate of the faster pipe would be 1.25 r = 5 r / 4 . since when both pipes are opened , they fill the pool in four hours , then their combined rate is 1 / 4 pool / hour . thus we have that r + 5 r / 4 = 1 / 4 - - > r = 1 / 9 pool / hour - - > time is reciprocal of rate thus it ' s 9 / 1 = 9 hours . answer : d ."
Answer: d
Python program:
a = 3 + 2 
b = 1/(a)
c = 1 + 1 
d = b / c
e = 1/(d)
f = e / 1
Problem: what will be the reminder when ( 27 ^ 27 + 27 ) is divided by 28 ?
Options: a ) 92 , b ) 43 , c ) 71 , d ) 26 , e ) 31
Rationale: "( x ^ n + 1 ) will be divisible by ( x + 1 ) only when n is odd ; ( 27 ^ 27 + 1 ) will be divisible by ( 27 + 1 ) ; ( 27 ^ 27 + 1 ) + 26 when divided by 28 will give 26 as remainder . correct option : d"
Answer: d
Python program:
a = 27 ** 27
b = a + 27 
c = 27 ** 27
d = c + 27 
e = d / 28
f = math.floor(e)
g = 28 * f
h = b - g
Problem: ram ' s salary is 25 % more than raja ' s . how much percent is raja ' s salary less than ram ' s ?
Options: a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 50 %
Rationale: raja ' s salary less than ram ' s by 25 / ( 100 + 25 ) * 100 % = 20 % answer is c
Answer: c
Python program:
a = 25 / 100
b = a + 1 
c = 1/(b)
d = 100 * c
e = 100 - d
Problem: what is the tens digit of 6 ^ 20 ?
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Rationale: "the tens digit of 6 in integer power starting from 2 ( 6 ^ 1 has no tens digit ) repeats in a pattern of 5 : { 3 , 1 , 9 , 7 , 5 } : the tens digit of 6 ^ 2 = 36 is 3 . the tens digit of 6 ^ 3 = 216 is 1 . the tens digit of 6 ^ 4 = . . . 96 is 9 . the tens digit of 6 ^ 5 = . . . 76 is 7 . the tens digit of 6 ^ 6 = . . . 56 is 5 . the tens digit of 6 ^ 7 = . . . 36 is 3 again . etc . . . 20 has the form 5 n , so the tens digit of 6 ^ 20 is 7 . the answer is d ."
Answer: d
Python program:
a = 4 + 1 
b = 6 ** reminder
c = reminder / (
d = math.floor(c, 100)
Problem: a 25 cm wide path is to be made around a circular garden having a diameter of 4 meters . approximate area of the path is square meters is
Options: a ) 3.34
b ) 3.36
c ) 3.34
d ) 6.32
e ) 3.31
Rationale: area of the path = area of the outer circle - area of the inner circle = ∏ { 4 / 2 + 25 / 100 } 2 - ∏ [ 4 / 2 ] 2 = ∏ [ 2.252 - 22 ] = ∏ ( 0.25 ) ( 4.25 ) { ( a 2 - b 2 = ( a - b ) ( a + b ) } = ( 3.14 ) ( 1 / 4 ) ( 17 / 4 ) = 53.38 / 16 = 3.34 sq m . answer : a
Answer: a
Python program:
a = 4 / 2
b = 25 / 100
c = a + b 
d = circle_area - (
Problem: x and y invested in a business . they earned some profit which they divided in the ratio of 1 : 3 . if x invested rs . 10,000 . the amount invested by y is
Options: a ) rs . 30,000 , b ) rs . 50,000 , c ) rs . 60,000 , d ) rs . 80,000 , e ) none
Rationale: "solution suppose y invested rs . y then , 10000 / y = 1 / 3 â € ¹ = â € º y = ( 10000 ã — 3 / 1 ) . â € ¹ = â € º y = 30000 . answer a"
Answer: a
Python program:
a = 1 + 4 
b = a * 1000
c = b * 1
d = c / 3
Problem: in a certain math department , students are required to enroll in either calculus or trigonometry , each of which is offered in beginner and advanced courses . the number of students enrolled in trigonometry is 50 % greater than the number of students enrolled in calculus , and 80 % of calculus students are enrolled in the beginner course . if 4 / 5 of students are in the beginner courses , and one student is selected at random , what is the probability that a beginner trigonometry student is selected ?
Options: a ) 40 % , b ) 44 % , c ) 48 % , d ) 52 % , e ) 56 %
Rationale: let x be the number of students in calculus . then the number of students in trigonometry is 1.5 x the number of students on beginner calculus is 0.8 x the number of students in beginner trigonometry is 4 / 5 * ( 2.5 x ) - 0.8 x = 1.2 x the percentage in beginner trigonometry is 1.2 x / 2.5 x = 48 % the answer is c .
Answer: c
Python program:
a = 50 * 2
b = a + 50 
c = 50 * 2
d = b + c 
e = 4 / 5
f = d * e
g = f - 80
h = 50 * 2
i = h + 50 
j = 50 * 2
k = i + j 
l = g / k
m = 50 * 2
n = l * m
Problem: a car going at 10 miles per hour set out on an 80 - mile trip at 9 : 00 a . m . exactly 10 minutes later , a second car left from the same place and followed the same route . how fast , in miles per hour , was the second car going if it caught up with the first car at 10 : 30 a . m . ?
Options: a ) 45 , b ) 20 , c ) 53 , d ) 55 , e ) 60
Rationale: "let car a = car that starts at 9 am car b = car that starts at 9 : 10 am time for which car a travels at speed of 10 m per hour = 1.5 hours distance travelled by car a = 10 * 1.5 = 15 miles since car b catches up car a at 10 : 30 , time = 80 mins = 4 / 3 hour speed of car b = 15 / ( 4 / 3 ) = 20 miles per hour answer b"
Answer: b
Python program:
a = 10 - 9
b = a * const_60
c = 10 - 10
d = b + c 
e = d / const_60
f = 80 / e
Problem: 0.009 / x = 0.1 . find the value of x
Options: a ) 0.0009 , b ) 0.09 , c ) 0.9 , d ) 9 , e ) 90
Rationale: x = 0.009 / 0.1 = 0.09 answer : b
Answer: b
Python program:
a = 0 / 9
Problem: the decimal 0.1 is how many times greater than the decimal ( 0.01 ) ^ 4 ?
Options: a ) 10 ^ 5 , b ) 10 ^ 6 , c ) 10 ^ 7 , d ) 10 ^ 8 , e ) 10 ^ 9
Rationale: "0.1 = 10 ^ - 1 ( 0.01 ) ^ 4 = ( 10 ^ - 2 ) ^ 4 = 10 ^ - 8 10 ^ 7 * 10 ^ - 8 = 10 ^ - 1 the answer is c ."
Answer: c
Python program:
a = 0 ** 1
b = 0 / 1
Problem: in a group of 70 people , 60 like swimming , 50 like wrestling . how many like both swimming and wrestling ?
Options: a ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 50
Rationale: "make a venn diagram , and enter your data . let the number of people who like both swimming and wrestling be x 60 - x + x + 50 - x = 70 x = 40 so number who like both swimming and wrestling = 40 answer c"
Answer: c
Python program:
a = 60 - 50
b = 50 + a 
c = b + 50
Problem: in the coordinate plane a slope of the line k is 3 times the y - intercept of the line k . what is the x - intercept of the line k ?
Options: a ) - 4 , b ) 4 , c ) - 1 / 4 , d ) - 1 / 3 , e ) 2
Rationale: as y = 3 mx + m , from 0 = 3 mx + m we get x = - 1 / 3 . hence , the correct answer choice is d .
Answer: d
Python program:
a = 1 / 3
Problem: a number when divided by 128 gives a remainder 34 , what remainder will be obtained by dividing the same number 19 ?
Options: a ) 7 , b ) 6 , c ) 9 , d ) 10 , e ) 3
Rationale: "explanation : 128 + 34 = 162 / 19 = 10 ( remainder ) answer : d"
Answer: d
Python program:
a = 19 * 2
b = 34 - a
Problem: in a certain company , a third of the workers do not have a retirement plan . 30 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ?
Options: a ) 80 , b ) 95 , c ) 105 , d ) 120 , e ) 210
Rationale: "set up equation : x = total number of workers 120 = 0,4 * 2 / 3 * x + 0,7 * 1 / 3 * x 120 = 15 / 30 x x = 240 240 - 120 = 120 answer d"
Answer: d
Python program:
a = 1 / 3
b = 1 / 3
c = 30 / 100
d = b * c
e = a - d
f = 1 / 3
g = 1 - f
h = 40 / 100
i = g * h
j = e + i 
k = 120 / j
l = 1 / 3
m = 30 / 100
n = l * m
o = 1 / 3
p = 1 - o
q = 1 / 3
r = 1 - q
s = 40 / 100
t = r * s
u = p - t
v = n + u 
w = k * v
Problem: find the value of x : x ² − 3 x + 2
Options: a ) - 1 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Rationale: "( x − 1 ) ( x − 2 ) x = 1 or 2 . c"
Answer: c
Python program:
a = 3 * 2
Problem: aarti can do a piece of work in 3 days . in how many days will she complete four time of work of same type ?
Options: a ) 12 days , b ) 18 days , c ) 21 days , d ) 3 days , e ) 13 days
Rationale: "we have the important relation , more work , more time ( days ) a piece of work can be done in 3 days . four times of work of same type can be done in 3 x 4 = 12 days answer a"
Answer: a
Python program:
a = 3 * 3
Problem: find the area of the quadrilateral of one of its diagonals is 40 cm and its off sets 11 cm and 9 cm ?
Options: a ) 100 cm 2 , b ) 150 cm 2 , c ) 333 cm 2 , d ) 400 cm 2 , e ) 750 cm 2
Rationale: "1 / 2 * 40 ( 11 + 9 ) = 400 cm 2 answer : d"
Answer: d
Python program:
a = 1 / 2
b = 9 + 11 
c = a * b
d = c * 40
Problem: if 3 taps are opened together a tank is filled in 3 hrs . one of the taps alone can fill it in 10 hrs . and another in 15 hrs . in how many hours will the third tap fill it ?
Options: a ) 7 hrs . , b ) 4 hrs . , c ) 5 hrs . , d ) 6 hrs . , e ) 8 hrs .
Rationale: part filled by three taps together in 1 hr = 1 / 3 part filled by one of the tap in 1 hr = 1 / 10 part filled by another tap in 1 hr = 1 / 15 part filled by third tap in 1 hr = 1 / 3 - ( 1 / 0 + 1 / 15 ) = 5 / 30 therefore the third tap can fill the whole tank in : 30 / 5 hrs . = 6 hrs . answer : d
Answer: d
Python program:
a = 10 * 3
b = 10 * 3
c = b / 15
d = c + 3 
e = 10 - d
f = a / e
Problem: a man took a loan from a bank at the rate of 10 % p . a . simple interest . after 3 years he had to pay rs . 5400 interest only for the period . the principal amount borrowed by him was :
Options: a ) rs . 2000 , b ) rs . 10,000 , c ) rs . 18,000 , d ) rs . 20,000 , e ) none
Rationale: "solution principal = rs . ( 100 x 5400 / 10 x 3 ) = rs . 18000 . answer c"
Answer: c
Python program:
a = 5400 * 100
b = 3 * 10
c = a / b
d = const_60 / 4
e = d * 100
f = c / e
Problem: how many different positive integers exist between 10 ^ 9 and 10 ^ 10 , the sum of whose digits is equal to 2 ?
Options: a ) 6 , b ) 7 , c ) 5 , d ) 8 , e ) 10
Rationale: "so , the numbers should be from 1,000 , 000,000 to 10,000 , 000,000 the following two cases are possible for the sum of the digits to be 2 : 1 . two 1 ' s and the rest are 0 ' s : 1,000 , 000,001 1,000 , 000,010 1,000 , 000,100 1,000 , 001,000 1,000 , 010,000 1,000 , 100,000 1,001 , 000,000 1,010 , 000,000 1,100 , 000,000 9 numbers . 2 . one 2 and the rest are 0 ' s : 2,000 , 000,000 1 number . total = 10 numbers . answer : e"
Answer: e
Python program:
a = 4 + 3 
b = a + 1
Problem: a pair of articles was bought for $ 50 at a discount of 60 % . what must be the marked price of each of the article ?
Options: a ) $ 25 , b ) $ 10 , c ) $ 29.65 , d ) $ 35.95 , e ) $ 45.62
Rationale: "s . p . of each of the article = 50 / 2 = $ 25 let m . p = $ x 40 % of x = 25 x = 25 * . 4 = $ 10 answer is b"
Answer: b
Python program:
a = 100 - 60
b = 50 / 2
c = a * b
d = c / 100
Problem: the average runs of a cricket player of 15 innings was 25 . how many runs must he make in his next innings so as to increase his average of runs by 6 ?
Options: a ) 121 , b ) 421 , c ) 143 , d ) 176 , e ) 84
Rationale: "explanation : average after 16 innings = 31 required number of runs = ( 31 * 16 ) – ( 25 * 15 ) = 496 – 375 = 121 answer a"
Answer: a
Python program:
a = 15 + 1 
b = 25 + 6 
c = a * b
d = 25 * 15
e = c - d
Problem: two airplanes take off from one airfield at noon . one flies due east at 202 miles per hour while the other flies directly northeast at 283 miles per hour . approximately how many miles apart are the airplanes at 2 p . m . ?
Options: a ) 166 , b ) 332 , c ) 400 , d ) 483 , e ) 404
Rationale: "e in two hours : the plane flying east will be 404 miles away from airport . the other plane will be 566 miles away from airport . 566 / 404 = ~ 1.4 = ~ sqrt ( 2 ) this means that planes formed a right isocheles triangle = > sides of such triangles relate as 1 : 1 : sqrt ( 2 ) = > the planes are 404 miles apart . e"
Answer: e
Python program:
a = 283 * 2
b = a ** 2
c = 202 * 2
d = c ** 2
e = b - d
f = math.sqrt(e)
Problem: ( x ) + 1315 + 9211 - 1569 = 11901 . calculate the value of x
Options: a ) 87801 , b ) 87811 , c ) 87862 , d ) 11803 , e ) 87803
Rationale: x + 1315 + 9211 - 1569 = 11901 = x + 1315 + 9211 = 11901 + 1569 = x + 10526 = 13470 = x = 98329 - 10526 = 87803 answer is e
Answer: e
Python program:
a = 11901 + 1569 
b = a - 9211
c = b - 1315
d = const_60 / 2
e = c * d
Problem: find the product of the local value and absolute value of 8 in 564823
Options: a ) 1600 , b ) 6400 , c ) 16000 , d ) 12000 , e ) 18000
Rationale: "explanation : place value = local value face value = absolute value the place value of 8 in 564823 is 8 x 100 = 800 the face value of 8 in 564823 is nothing but 8 . = > 800 * 8 = 6400 answer : option b"
Answer: b
Python program:
a = 8 * 1000
b = a * 8
Problem: two trains a and b starting from two points and travelling in opposite directions , reach their destinations 9 hours and 4 hours respectively after meeting each other . if the train a travels at 110 kmph , find the rate at which the train b runs .
Options: a ) 40 , b ) 165 , c ) 120 , d ) 80 , e ) 100
Rationale: if two objects a and b start simultaneously from opposite points and , after meeting , reach their destinations in ‘ a ’ and ‘ b ’ hours respectively ( i . e . a takes ‘ a hrs ’ to travel from the meeting point to his destination and b takes ‘ b hrs ’ to travel from the meeting point to his destination ) , then the ratio of their speeds is given by : sa / sb = √ ( b / a ) i . e . ratio of speeds is given by the square root of the inverse ratio of time taken . sa / sb = √ ( 4 / 9 ) = 2 / 3 this gives us that the ratio of the speed of a : speed of b as 2 : 3 . since speed of a is 110 kmph , speed of b must be 110 * ( 3 / 2 ) = 165 kmph answer b
Answer: b
Python program:
a = 9 / 4
b = math.sqrt(a)
c = 110 * b
Problem: a man can row 3.9 km / hr in still water . it takes him twice as long to row upstream as to row downstream . what is the rate of the current ?
Options: a ) 1.9 , b ) 1.7 , c ) 1.3 , d ) 1.5 , e ) 1.1
Rationale: "speed of boat in still water ( b ) = 3.9 km / hr . speed of boat with stream ( down stream ) , d = b + u speed of boat against stream ( up stream ) , u = b – u it is given upstream time is twice to that of down stream . ⇒ downstream speed is twice to that of upstream . so b + u = 2 ( b – u ) ⇒ u = b / 3 = 1.3 km / hr . answer : c"
Answer: c
Python program:
a = 3 * 9
b = a - 3
c = b / 3
Problem: a sun is divided among x , y and z in such a way that for each rupee x gets , y gets 45 paisa and z gets 50 paisa . if the share of y is rs . 27 , what is the total amount ?
Options: a ) 115 , b ) 116 , c ) 117 , d ) 118 , e ) 119
Rationale: "x : y : z = 100 : 45 : 50 20 : 9 : 10 9 - - - 27 39 - - - ? = > 117 answer : c"
Answer: c
Python program:
a = 100 / 45
b = a * 27
c = 50 / 45
d = c * 27
e = b + d 
f = e + 27
Problem: if a ( a + 4 ) = 21 and b ( b + 4 ) = 21 , where a ≠ b , then a + b =
Options: a ) − 4 , b ) − 5 , c ) 2 , d ) 46 , e ) 48
Rationale: "i . e . if a = 3 then b = - 7 or if a = - 7 then b = 3 but in each case a + b = - 7 + 3 = - 4 answer : option a"
Answer: a
Python program:
a = 21 / 10
b = 21 / 10
c = 21 / b
d = a + c
Problem: the length of a train and that of a platform are equal . if with a speed of 90 k / hr , the train crosses the platform in one minute , then the length of the train ( in meters ) is :
Options: a ) 377 , b ) 267 , c ) 268 , d ) 750 , e ) 271
Rationale: speed = [ 90 * 5 / 18 ] m / sec = 25 m / sec ; time = 1 min . = 60 sec . let the length of the train and that of the platform be x meters . then , 2 x / 60 = 25 è x = 25 * 60 / 2 = 750 . answer : d
Answer: d
Python program:
a = 90 * 1000
b = const_60 / 1
c = a / b
d = c / 2
Problem: the average weight of 7 person ' s increases by 6.2 kg when a new person comes in place of one of them weighing 76 kg . what might be the weight of the new person ?
Options: a ) 160 kg , b ) 175 kg , c ) 180.7 kg , d ) 119.4 kg , e ) 190.8 kg
Rationale: "total weight increased = ( 7 x 6.2 ) kg = 43.4 kg . weight of new person = ( 76 + 43.4 ) kg = 119.4 kg option d"
Answer: d
Python program:
a = 7 * 6
b = a + 76
Problem: the cost of 3 pens and 5 pencils is rs . 100 . also the cost of one pen and one pencil is in the ratio of 5 : 1 respectively . what is the cost of one dozen pens ?
Options: a ) rs . 200 , b ) rs . 250 , c ) rs . 300 , d ) rs . 150 , e ) none of these
Rationale: "explanation : let the cost of one pen is ‘ 5 x ’ and pencil is ‘ x ’ 3 x 5 x + 5 x = rs . 100 15 x + 5 x = rs . 100 x = 100 / 20 = 5 : . cost of 1 pen = 5 x = 5 x 5 = 25 : . cost of 12 pens , i . e . ( one dozen ) = 25 x 12 = rs . 300 answer : option c"
Answer: c
Python program:
a = 3 * 4
b = 3 + 1 
c = 100 / b
d = a * c
Problem: the compound interest earned on a sum for the second and the third years are $ 1200 and $ 1272 respectively . what is the rate of interest ?
Options: a ) 4 % , b ) 6 % , c ) 8 % , d ) 10 % , e ) 12 %
Rationale: "1272 - 1200 = 72 is the rate of interest on $ 1200 for one year . the rate of interest = ( 100 * 72 ) / ( 1200 ) = 6 % the answer is b ."
Answer: b
Python program:
a = 1272 - 1200
b = a * 100
c = b / 1200
Problem: 10 camels cost as much as 24 horses , 26 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants . if the cost of 10 elephants is rs . 170000 , find the cost of a camel ?
Options: a ) rs . 6184.5 , b ) rs . 4184.5 , c ) rs . 5700 , d ) rs . 4284.5 , e ) rs . 5184.5
Rationale: "cost of the camel = p 10 camels = 24 horses 26 horses = 4 oxen 6 oxen = 4 elephants 10 elephants = rs . 170000 p = rs . [ ( 24 * 4 * 4 * 170000 ) / ( 10 * 26 * 6 * 10 ) ] p = rs . ( 65280000 / 15600 ) = > p = rs . 4184.5 answer : b"
Answer: b
Python program:
a = 24 * 4
b = a * 4
c = b * 170000
d = 10 * 26
e = d * 6
f = e * 10
g = c / f
Problem: if the perimeter of a rectangular garden is 680 m , its length when its breadth is 82 m is ?
Options: a ) 286 m , b ) 899 m , c ) 200 m , d ) 166 m , e ) 258 m
Rationale: "2 ( l + 82 ) = 680 = > l = 258 m answer : e"
Answer: e
Python program:
a = 680 / 2
b = a - 82
Problem: what is the least number . which should be added to 0.0478 to make it a perfect square ?
Options: a ) 0.0002 , b ) 0.0004 , c ) 0.0006 , d ) 0.0008 , e ) 0.001
Rationale: "0.0478 + 0.0006 = 0.0484 ( 0.22 ) ^ 2 answer : c"
Answer: c
Python program:
a = 12 + 4 
b = a + 2 
c = b / 100
d = 12 + 4 
e = d + 2 
f = e / 100
g = c * f
h = g - 0
Problem: the average score of a cricketer for 7 matches is 56 runs . if the average for first 4 matches is 46 , then average for last 3 matches is
Options: a ) 33.25 , b ) 32.25 , c ) 65 , d ) 67 , e ) 69
Rationale: explanation : = ( 56 × 7 ) − ( 46 × 4 ) / 3 = ( 392 − 184 ) / 3 = 69 answer : option e
Answer: e
Python program:
a = 7 * 56
b = 4 * 46
c = a - b
d = c / 3
Problem: if in a cricket one day match , there were no wide balls , no wides , no extras and no overthrows . what is the maximum number of runs that a batsman can score in an ideal case scenario ?
Options: a ) 2663 , b ) 1653 , c ) 3693 , d ) 4253 , e ) 2653
Rationale: b 1653 for an ideal case , the batsman will hit a six on each ball . but if he hits six on the last ball of the over , the strike will change in the next over . thus , the best he can do in the last ball is run 3 runs so that he retains the strike even in the next over . thus the total runs that he can score in each over : 6 * 5 + 3 = 33 but this will have to go like it only till the 49 th over . in the last over , he can hit a six in the last ball as well as that will be the last ball of the match . thus runs for the last over will be 6 * 6 = 36 . hence the maximum runs = 33 * 49 + 36 = 1653
Answer: b
Python program:
a = 10 + 1 
b = 3 * a
c = 4 + 1 
d = c * 10
e = d - 1
f = b * e
g = 10 + 1 
h = 3 * g
i = h + 3 
j = f + i