euclaise/mathqa_programs huggingface dataset:
Problem: the speed of a boat in still water in 65 km / hr and the rate of current is 15 km / hr . the distance travelled downstream in 25 minutes is :
Options: a ) 55.55 km , b ) 44.44 km , c ) 33.33 km , d ) 22.22 km , e ) 11.11 km
Rationale: "explanation : speed downstream = ( 65 + 15 ) = 80 kmph time = 25 minutes = 25 / 60 hour = 5 / 12 hour distance travelled = time × speed = ( 2 / 5 ) × 80 = 33.33 km answer : option c"
Answer: c
Python program:
a = 65 + 15 
b = 25 / const_60
c = a * b
Problem: ( √ 27 + √ 243 ) / √ 48 = ?
Options: a ) 2 √ 2 , b ) 2 √ 3 , c ) 3 √ 2 , d ) 3 √ 3 , e ) 3
Rationale: "( √ 27 + √ 243 ) / √ 48 = ( 3 √ 3 + 9 √ 3 ) / 4 √ 3 = 12 √ 3 / 4 √ 3 = 3 . hence , the correct answer is e ."
Answer: e
Python program:
a = math.sqrt(27)
b = math.sqrt(243)
c = a + b 
d = math.sqrt(48)
e = c / d
Problem: two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively . when they meet , it is found that one train has traveled 60 km more than the other one . the distance between the two stations is ?
Options: a ) 2887 , b ) 444 , c ) 877 , d ) 278 , e ) 178
Rationale: "1 h - - - - - 5 ? - - - - - - 60 12 h rs = 16 + 21 = 37 t = 12 d = 37 * 12 = 444 answer : b"
Answer: b
Python program:
a = 21 - 16
b = 60 / a
c = b * 16
d = 21 - 16
e = 60 / d
f = e * 21
g = c + f
Problem: you hold some gold in a vault as an investment . over the past year the price of gold increases by 50 % . in order to keep your gold in the vault , you must pay 8 % of the total value of the gold per year . what percentage has the value of your holdings changed by over the past year .
Options: a ) 35 % , b ) 36 % , c ) 37 % , d ) 38 % , e ) 40 %
Rationale: "( 100 % + 50 % ) * ( 100 % - 8 % ) = 150 * 0.92 = 138 % an increase of 38 % your gold holdings have increased in value by 38 % . the answer is d"
Answer: d
Python program:
a = 50 / 8
b = 50 - a
Problem: 18 litres of mixture contains 20 % alcohol and the rest water . if 3 litres of water be mixed with it , the percentage of alcohol in the new mixture would be ?
Options: a ) 16.67 % , b ) 17.14 % , c ) 18.3 % , d ) 19.75 % , e ) 21.23 %
Rationale: "alcohol in the 18 litres of mix . = 20 % of 18 litres = ( 20 * 18 / 100 ) = 3.6 litres water in it = 18 - 3.6 = 14.4 litres new quantity of mix . = 18 + 3 = 21 litres quantity of alcohol in it = 3.6 litres percentage of alcohol in new mix . = 3.6 * 100 / 21 = 17.14 % answer is b"
Answer: b
Python program:
a = 18 + 3 
b = 100 - 20
c = b / 100
d = c * 18
e = d + 3 
f = a - e
g = 18 + 3 
h = f / g
i = h * 100
Problem: two isosceles triangles have equal vertical angles and their areas are in the ratio 4 : 9 . find the ratio of their corresponding heights .
Options: a ) 4 / 5
b ) 5 / 4
c ) 3 / 2
d ) 5 / 7
e ) 2 / 3
Rationale: we are basically given that the triangles are similar . in two similar triangles , the ratio of their areas is the square of the ratio of their sides and also , the square of the ratio of their corresponding heights . therefore , area / area = height ^ 2 / height ^ 2 = 4 / 9 - - > height / height = 2 / 3 . answer : e .
Answer: e
Python program:
a = math.sqrt(4)
b = math.sqrt(9)
c = a / b
Problem: in a certain company , the ratio of male to female employees is 7 : 8 . if 3 more men were hired , this ratio would increase to 8 : 9 . how many male employees are there in the company ?
Options: a ) 6 , b ) 21 , c ) 27 , d ) 189 , e ) 192
Rationale: another approach is to use two variables . let m = present number of males let f = present number of females the ratio of male to female employees is 7 : 8 so , m / f = 7 / 8 cross multiply to get 7 f = 8 m if 3 more men were hired , this ratio would increase to 8 : 9 so , ( m + 3 ) / f = 8 / 9 cross multiply to get 9 ( m + 3 ) = 8 f expand : 9 m + 27 = 8 f we now have a system of two equations and two variables : 7 f = 8 m 9 m + 27 = 8 f solve to get : m = 189 and f = 216 answer : d
Answer: d
Python program:
a = 8 / 9
b = 7 / 8
c = a - b
d = 3 / c
e = d * 7
f = e / 8
Problem: a guy was asked to specify his age in years . he said , “ take my age 5 years hence , multiply it by 5 and subtract 5 times of my age 5 years ago and you will know my age . ” what was the age of that guy ?
Options: a ) 18 , b ) 15 , c ) 33 , d ) 39 , e ) 50
Rationale: current age of the guy = a years . then , 5 ( a + 5 ) – 5 ( a – 5 ) = a ( 5 a + 25 ) – ( 5 a – 25 ) = a a = 50 e
Answer: e
Python program:
a = 5 * 5
b = 5 * 5
c = a + b
Problem: of 60 children , 30 are happy , 10 are sad , and 20 are neither happy nor sad . there are 17 boys and 43 girls . if there are 6 happy boys and 4 sad girls , how many boys are neither happy nor sad ?
Options: a ) 5 , b ) 4 , c ) 6 , d ) 8 , e ) 10
Rationale: "venn diagrams are useful for multiple values of a single variable e . g . state of mind - happy / sad / neither . when you have two or more variables such as here where you have gender - boy / girl too , it becomes unwieldy . in this case , either use the table or logic . table method is shown above ; here is how you will use logic : there are 6 happy boys . there are 4 sad girls but total 10 sad children . so rest 6 sad children must be sad boys . we have 6 happy boys and 6 sad boys . total we have 17 boys . so 17 - 6 - 6 = 5 boys must be neither happy nor sad . answer ( a )"
Answer: a
Python program:
a = 10 - 4
b = 17 - a
c = b - 6
Problem: ram , who is half as efficient as krish , will take 27 days to complete a task if he worked alone . if ram and krish worked together , how long will they take to complete the task ?
Options: a ) 16 days , b ) 12 days , c ) 9 days , d ) 6 days , e ) 18 days
Rationale: number of days taken by ram to complete task = 27 since ram is half as efficient as krish , amount of work done by krish in 1 day = amount of work done by ram in 2 days if total work done by ram in 27 days is 27 w amount of work done by ram in 1 day = w amount of work done by krish in 1 day = 2 w total amount of work done by krish and ram in a day = 3 w total amount of time needed by krish and ram to complete task = 27 w / 3 w = 9 days answer c
Answer: c
Python program:
a = 1 / 27
b = 27 / 2
c = 1 / b
d = a + c 
e = 1/(d)
Problem: what is the compound interest on rs : 60,000 for 4 months at the rate of 5 % per annum
Options: a ) 1058.24 , b ) 2006.24 , c ) 1006.13 , d ) 1015.24 , e ) 1014.24
Rationale: "it is monthly compound rate = 5 / 12 % per month 60000 * ( 1 + 5 / 1200 ) ^ 4 - 60000 = 1006.13 answer : c"
Answer: c
Python program:
a = 3 * 100
b = a * 100
c = 4 * 3
d = 4 / c
e = 5 * d
f = b * e
g = f / 100
Problem: two persons a and b can complete a piece of work in 40 days and 60 days respectively . if they work together , what part of the work will be completed in 6 days ?
Options: a ) 1 / 8 , b ) 1 / 3 , c ) 1 / 6 , d ) 1 / 2 , e ) 1 / 4
Rationale: "a ' s one day ' s work = 1 / 40 b ' s one day ' s work = 1 / 60 ( a + b ) ' s one day ' s work = 1 / 40 + 1 / 60 = 1 / 24 the part of the work completed in 6 days = 6 ( 1 / 24 ) = 1 / 4 . answer : e"
Answer: e
Python program:
a = 1 / 40
b = 1 / 60
c = a + b 
d = 6 * c
Problem: at what price must an article costing rs . 95 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 25 % on the cost price ?
Options: a ) 130 , b ) 125 , c ) 145 , d ) 135 , e ) 144
Rationale: "cp = 95 sp = 47.50 * ( 125 / 100 ) = 118.125 mp * ( 95 / 100 ) = 118.125 mp = 125 answer : b"
Answer: b
Python program:
a = 95 * 25
b = a / 100
c = 95 + b 
d = c * 100
e = 100 - 5
f = d / e
Problem: a “ sophie germain ” prime is any positive prime number p for which 2 p + 1 is also prime . the product of all the possible units digits of sophie germain primes greater than 9 is
Options: a ) 3 , b ) 7 , c ) 21 , d ) 189 , e ) 267
Rationale: "in that case , the sophie prime numbers greater than 9 are 11,23 , 47,59 , . . which yields units digit as 1 , 3,7 and 9 product would be 1 x 3 x 7 x 9 = 189 answer should be d"
Answer: d
Python program:
a = 9 - 1
b = 2 + 1 
c = a + b 
d = 2 + 1 
e = c + d 
f = e - 10
g = 9 - 1
h = 2 + 1 
i = g + h 
j = 2 * i
k = j + 1 
l = k - 10
m = f * l
n = 2 + 1 
o = m * n
p = 9 - 1
q = 2 + 1 
r = p + q 
s = 2 + 1 
t = r + s 
u = 2 + 1 
v = t + u 
w = 2 * v
x = w + 1 
y = 2 * 10
z = x - y
A = o * z
Problem: a man performs 1 / 2 of the total journey by rail , 1 / 3 by bus and the remaining 3 km on foot . his total journey is
Options: a ) 18 km , b ) 10 km , c ) 12 km , d ) 24 km , e ) 25 km
Rationale: "explanation : let the journey be x km then , 1 x / 2 + 1 x / 3 + 3 = x 5 x + 18 = 6 x x = 18 km answer : option a"
Answer: a
Python program:
a = 3 * 3
Problem: the sum of all consecutive odd integers from − 27 to 37 , inclusive , is
Options: a ) 110 , b ) 135 , c ) 150 , d ) 165 , e ) 235
Rationale: "the sum of the odd numbers from - 27 to + 27 is 0 . let ' s add the remaining numbers . 29 + 31 + 33 + 35 + 37 = 5 ( 33 ) = 165 the answer is d ."
Answer: d
Python program:
a = 27 + 2 
b = 27 + 2 
c = b + 2 
d = a + c 
e = 27 + 2 
f = e + 2 
g = f + 2 
h = d + g 
i = h + 37
Problem: if 20 % of a number is equal to one - third of another number , what is the ratio of first number to the second number ?
Options: a ) 2 : 5 , b ) 1 : 4 , c ) 5 : 3 , d ) 6 : 11 , e ) 2 : 3
Rationale: "let 20 % of a = 1 / 3 b then 20 a / 100 = 1 b / 3 a / 5 = b / 3 a / b = 5 / 3 a : b = 5 : 3 answer is c"
Answer: c
Python program:
a = 1 / 4
b = 20 / 100
c = a / b
Problem: a person travels from p to q a speed of 60 km / hr and returns by increasing his speed by 50 % . what is his average speed for both the trips ?
Options: a ) 33 , b ) 75 , c ) 48 , d ) 99 , e ) 21
Rationale: speed on return trip = 150 % of 60 = 90 km / hr . average speed of trip = 60 + 90 / 2 = 150 / 2 = 75 km / hr answer : b
Answer: b
Python program:
a = 50 / 100
b = 1 + a 
c = 60 * b
d = c + 60 
e = d / 2
Problem: ( 1.1 + 1.1 + 1.1 + 1.1 ) x 1.1 x 1.1 = ? = ? x 0.121
Options: a ) 54 , b ) 33 , c ) 44 , d ) 22 , e ) 26
Rationale: "explanation : ? = ( 1.1 + 1.1 + 1.1 + 1.1 ) x 1.1 x 1.1 / 0.121 = ( 4.4 x 1.1 x 1.1 ) / 0.121 = 44 answer : option c"
Answer: c
Python program:
a = 1 + 1 
b = 1 * 1
c = b / 2
d = 1 - 1
e = d * 1
f = e / 2
g = c - f
Problem: how much is 85 % of 40 is greater than 4 / 5 of 25 ?
Options: a ) 22 , b ) 14 , c ) 88 , d ) 12 , e ) 66
Rationale: "( 85 / 100 ) * 40 – ( 4 / 5 ) * 25 = 14 answer : b"
Answer: b
Python program:
a = 85 / 100
b = 40 * a
c = 4 / 5
d = c * 25
e = b - d
Problem: ( 23341379 x 72 ) = ?
Options: a ) 1680579288 , b ) 1223441288 , c ) 2142579288 , d ) 2142339288 , e ) none of these
Rationale: "explanation : 23341379 x 72 = 23341379 ( 70 + 2 ) = ( 23341379 x 70 ) + ( 23341379 x 2 ) = 1633896530 + 46682758 = 1680579288 . answer : option a"
Answer: a
Python program:
a = 4 + 1 
b = a ** 4
c = 23341379 * b
Problem: in a fuel station the service costs $ 2.10 per vehicle and every liter of fuel costs $ 0.70 . assuming that you fill up 3 mini - vans and 2 trucks , what will be the total cost , if a mini - van ' s tank is 65 liters and a truck ' s tank is 120 % bigger and they are all empty ?
Options: a ) $ 338.50 , b ) $ 341.40 , c ) $ 344.30 , d ) $ 347.20 , e ) $ 350.10
Rationale: the service cost of 3 vans and 2 trucks is 5 * 2.10 $ 10.50 the fuel in 3 vans is 3 * 65 = 195 liters the fuel in 2 trucks is 2 * 65 * 2.2 = 286 liters the total fuel ( vans + trucks ) = 481 liters the total fuel cost is 481 * 0.7 = $ 336.70 the total cost is $ 336.70 + $ 10.50 = $ 347.20 the answer is d .
Answer: d
Python program:
a = 120 * 65
b = a / 100
c = b + 65 
d = c * 2
e = d * 0
f = 3 * 65
g = f * 0
h = e + g 
i = 3 + 2 
j = 2 * 1
k = h + j
Problem: following an increase in prices , the price of a candy box was 10 pounds and the price of a can of soda was 15 pounds . if the price of a candy box was raised by 25 % , and the price of a can of soda was raised by 50 % . what was the price of a box of candy plus a can of soda before prices were raised ?
Options: a ) 11 . , b ) 12 . , c ) 13 . , d ) 18 . , e ) 14.5
Rationale: price of candy before price increase = 10 / 1.25 = 8 price of soda before price increase = 15 / 1.5 = 10 total price = 8 + 10 = 18 d is the answer
Answer: d
Python program:
a = 10 * 100
b = 100 + 25 
c = a / b
d = 15 * 100
e = 100 + 50 
f = d / e
g = c + f
Problem: the population of a bacteria colony doubles every day . if it was started 9 days ago with 2 bacteria and each bacteria lives for 11 days , how large is the colony today ?
Options: a ) 512 , b ) 768 , c ) 4096 , d ) 2048 , e ) 1024
Rationale: "9 days ago - 2 8 days ago - 4 7 days ago - 8 6 days ago - 16 5 days ago - 32 4 days ago - 64 3 days ago - 128 2 days ago - 256 yesterday - 512 today - 1024 ans : e"
Answer: e
Python program:
a = 9 + 1 
b = 2 ** a
c = b - 1
Problem: in how many ways can an answer key for a quiz be written if the quiz contains 4 true - false questions followed by 2 multiples - choice questions with 4 answer choices each , if the correct answers to all true - false questions can not be the same ?
Options: a ) 120 , b ) 190 , c ) 224 , d ) 298 , e ) 256
Rationale: "there are 2 ^ 4 = 16 possibilities for the true - false answers . however we need to remove two cases for tttt and ffff . there are 4 * 4 = 16 possibilities for the multiple choice questions . the total number of possibilities is 14 * 16 = 224 . the answer is c ."
Answer: c
Python program:
a = 2 ** 4
b = a - 2
c = 4 * 4
d = b * c
Problem: in what time will a train 135 m long cross an electric pole , it its speed be 140 km / hr ?
Options: a ) 3.5 , b ) 2.7 , c ) 2.9 , d ) 2.3 , e ) 2.1
Rationale: "speed = 140 * 5 / 18 = 38.8 m / sec time taken = 135 / 38.8 = 3.5 sec . answer : a"
Answer: a
Python program:
a = 140 * const_0_2778
b = 135 / a
Problem: a man buys a cycle for rs . 1200 and sells it at a loss of 10 % . what is the selling price of the cycle ?
Options: a ) s . 1080 , b ) s . 1140 , c ) s . 1090 , d ) s . 1202 , e ) s . 1092
Rationale: "s . p . = 90 % of rs . 1200 = rs . 90 x 1200 / 100 = rs . 1080 answer : option a"
Answer: a
Python program:
a = 100 - 10
b = a * 1200
c = b / 100
Problem: the average age of 30 students in a class is 14 years . if the age of teacher is also included , the average becomes 15 years , find the age of the teacher .
Options: a ) 43 , b ) 44 , c ) 45 , d ) 47 , e ) 48
Rationale: explanation : if teacher ' s age is 14 years , there is no change in the average . but teacher has contributed 1 year to all the students along with maintaining his age at 15 . age of teacher = average age of all + total increase in age = 15 + ( 1 x 30 ) = 45 years answer : c
Answer: c
Python program:
a = 30 * 14
b = a + 15 
c = b + 30 
d = 30 * 14
e = c - d
Problem: john and lewis leave city a for city b simultaneously at 6 a . m in the morning driving in two cars at speeds of 40 mph and 60 mph respectively . as soon as lewis reaches city b , he returns back to city a along the same route and meets john on the way back . if the distance between the two cities is 240 miles , how far from city a did john and lewis meet ?
Options: a ) 150 miles , b ) 160 miles , c ) 140 miles , d ) 170 miles , e ) 200 miles
Rationale: time taken by lewis to reach city b = 240 / 60 = 4 hours in 4 hours , john travels 40 * 4 = 160 miles so distance at which they meet should be greater than 160 miles . only b satisfies . answer is b .
Answer: b
Python program:
a = 240 / 60
b = 40 * a
Problem: a salesman â € ™ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs . 1000 plus 2.5 % commission on all sales exceeding rs . 4000 . if his remuneration as per new scheme was rs . 700 more than that by the previous schema , his sales were worth ?
Options: a ) s . 8,000 , b ) s . 9,000 , c ) s . 20,000 , d ) s . 10,000 , e ) s . 50,000
Rationale: [ 1000 + ( x - 4000 ) * ( 2.5 / 100 ) ] - x * ( 5 / 100 ) = 700 x = 8000 answer a
Answer: a
Python program:
a = 2 / 5
b = 4000 * a
c = 1000 - b
d = c - 700
e = 5 / 100
f = 2 / 5
g = e - f
h = d / g
i = h / 1000
Problem: the average weight of 8 persons 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 ) 75 kg , b ) 65 kg , c ) 55 kg , d ) 89 kg , e ) 25 kg
Rationale: total weight increased = ( 8 x 3 ) kg = 24 kg . weight of new person = ( 65 + 24 ) kg = 89 kg . answer : d
Answer: d
Python program:
a = 8 * 3
b = 65 + a
Problem: in a village of 100 households , 85 have at least one dvd player , 90 have at least one cell phone , and 55 have at least one mp 3 player . if x and y are respectively the greatest and lowest possible number of households that have all 3 of these devices , x – y is :
Options: a ) 65 , b ) 55 , c ) 45 , d ) 35 , e ) 25
Rationale: am i missing something here ? ? ? it seems straightforward . . . . . . the obvious maximum that have all 3 is 55 , because you are limited by the smallest number . the minimum is simply the sum of the max of each people who dont have the product , so : 100 - 90 = 10 do n ' t have cell 100 - 85 = 15 do n ' t have dvd and 100 - 55 = 45 do n ' t have mp 3 so a total of 10 + 15 + 45 = 70 combined who might not have some combination of the 3 products . so subtract that from 100 , to give you the minimum of the people who could have all 3 and you get 100 - 70 = 30 . 55 - 30 = 25 e
Answer: e
Python program:
a = 100 - 55
b = 100 - 85
c = 100 - 90
d = b + c 
e = a + d 
f = 100 - e
g = 55 - f
Problem: of the diplomats attending a summit conference , 14 speak french , 32 do not speak russian , and 20 % of the diplomats speak neither french nor russian . if 10 % of the diplomats speak both languages , then how many diplomats attended the conference ?
Options: a ) 72 , b ) 96 , c ) 108 , d ) 120 , e ) 180
Rationale: { total } = { french } + { russian } - { both } + { neither } { total } = 14 + ( { total } - 32 ) - ( 0.1 * { total } ) + 0.2 * { total } solving gives { total } = 180 . answer : e .
Answer: e
Python program:
a = 32 - 14
b = 20 / 100
c = 10 / 100
d = b - c
e = a / d
Problem: in a certain pond , 80 fish were caught , tagged , and returned to the pond . a few days later , 80 fish were caught again , of which 2 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 ` s the approximate number of fish in the pond ?
Options: a ) 400 , b ) 625 , c ) 1250 , d ) 3200 , e ) 10 000
Rationale: "the percent of tagged fish in the second catch is 2 / 80 * 100 = 2.5 % . we are told that 2.5 % approximates the percent of tagged fish in the pond . since there are 80 tagged fish , then we have 0.025 x = 80 - - > x = 3,200 . answer : d ."
Answer: d
Python program:
a = 2 / 80
b = 80 / a
Problem: the cost price of an article is 25 % of the marked price . calculate the gain percent after allowing a discount of 50 % .
Options: a ) 25 % , b ) 50 % , c ) 100 % , d ) 150 % , e ) none
Rationale: "sol . let marked price = rs . 100 . then , c . p . = rs . 25 . s . p = rs . 50 . â ˆ ´ gain % = [ 25 / 25 * 100 ] % = 100.0 % . answer c"
Answer: c
Python program:
a = 100 - 50
b = a / 25
c = b - 1
d = c * 100
Problem: the total marks obtained by a student in mathematics and physics is 40 and his score in chemistry is 20 marks more than that in physics . find the average marks scored in mathamatics and chemistry together .
Options: a ) 40 , b ) 26 , c ) 27 , d ) 28 , e ) 30
Rationale: "let the marks obtained by the student in mathematics , physics and chemistry be m , p and c respectively . given , m + c = 40 and c - p = 20 m + c / 2 = [ ( m + p ) + ( c - p ) ] / 2 = ( 40 + 20 ) / 2 = 30 . answer : e"
Answer: e
Python program:
a = 40 + 20 
b = a / 2
Problem: anup manages to draw 7 circles of equal radii with their centres on the diagonal of a square such that two extreme circles touch two sides of the square and each middle circle touches two circles on either side . find the ratio of radius of the circles to the side of the square .
Options: a ) 1 : ( 2 + 6 ^ ( 1 / 2 ) )
b ) 1 : ( 4 + 7 ^ ( 1 / 3 ) )
c ) ( 2 + 7 ^ ( 1 / 2 ) ) : 1
d ) ( 2 + 7 ^ ( 1 / 2 ) ) : 2
e ) none of these
Rationale: diagonal of square = ( 2 * r ) * 7 + ( 2 ^ ( 1 / 2 ) * r - r ) * 2 diagonal has 7 squares diameters length + little distance between extreme squares to the end point [ form a square of side r from center of extreme circle to the extreme end to find distance ] distance = 2 ^ ( 1 / 2 ) * r - r d = a * 2 ^ ( 1 / 2 ) a = 2 ^ ( 1 / 2 ) * [ 6 * r + 2 ^ ( 1 / 2 ) * r ] r / a = 1 : [ 2 + 6 * 2 ^ ( 1 / 2 ) ] answer is none of the above answer : e
Answer: e
Python program:
a = math.sqrt(2)
b = math.sqrt(2)
c = 7 + b 
d = 2 * c
e = a / d
Problem: a light flashes every 20 seconds , how many times will it flash in ? of an hour ?
Options: a ) 550 , b ) 600 , c ) 650 , d ) 180 , e ) 750
Rationale: "1 flash = 20 sec for 1 min = 3 flashes so for 1 hour = 3 * 60 = 180 flashes . answer : d"
Answer: d
Python program:
a = 3600 / 20
Problem: the cost of 3 pens and 5 pencils is rs . 240 . 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 . 720 , 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 . 240 15 x + 5 x = rs . 240 x = 240 / 20 = 12 : . cost of 1 pen = 5 x = 5 x 12 = 60 : . cost of 12 pens , i . e . ( one dozen ) = 60 x 12 = rs . 720 answer : option b"
Answer: b
Python program:
a = 3 * 4
b = 3 + 1 
c = 240 / b
d = a * c
Problem: the regular price per can of a certain brand of soda is $ 0.55 . if the regular price per can is discounted 25 percent when the soda is purchased in 24 - can cases , what is the price of 70 cans of this brand of soda purchased in 24 - can cases ?
Options: a ) $ 16.32 , b ) $ 18.00 , c ) $ 21.60 , d ) $ 24.48 , e ) $ 28.87
Rationale: "the discounted price of one can of soda is ( 0.75 ) ( $ 0.55 ) , or $ 0.4125 therefore , the price of 70 cans of soda at the discounted price would be ( 70 ) ( $ 0.4125 ) = 28.875 answer : e"
Answer: e
Python program:
a = 100 - 25
b = a / 100
c = 0 * 55
d = b * c
Problem: the ratio between the number of sheep and the number of horses at the stewart farm is 2 to 7 , if each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day , what is the number of sheep in the farm ?
Options: a ) 18 , b ) 16 , c ) 32 , d ) 56 , e ) 60
Rationale: "let the number of sheeps and horses be 4 x and 7 x . now total number of horses = total consumption of horse food / consumption per horse = 12880 / 230 = 56 , which is equal to 7 x . = > x = 8 sheeps = 2 x = 2 * 8 = 16 . hence b"
Answer: b
Python program:
a = 4 * 2
b = a * 10
c = 4 * 2
d = c * 100
e = b + d 
f = 12 * 1000
g = e + f 
h = g / 230
i = h / 7
j = i * 2
Problem: the average monthly salary of 20 employees in an organisation is rs . 1500 . if the manager ' s salary is added , then the average salary increases by rs . 100 . what is the manager ' s monthly salary ?
Options: a ) 3600 , b ) 2988 , c ) 2789 , d ) 2887 , e ) 1297
Rationale: "manager ' s monthly salary rs . ( 1600 * 21 - 1500 * 20 ) = rs . 3600 . answer : a"
Answer: a
Python program:
a = 1500 + 100 
b = 20 + 1 
c = a * b
d = 1500 * 20
e = c - d
Problem: a call center has two teams . each member of team a was able to process 6 / 5 calls as compared to each member of team b . if team a has 5 / 8 as many number of call center agents as team b , what fraction of the total calls was processed by team b ?
Options: a ) 3 / 2 , b ) 3 / 4 , c ) 4 / 7 , d ) 1 / 2 , e ) 1 / 5
Rationale: "let team b has 8 agents , so team a has 5 agents let each agent of team b picked up 5 calls , so total calls by team b = 40 so , each agent in team a picked up 6 calls , so total calls for team a = 30 fraction for team b = 40 / ( 40 + 30 ) = 4 / 7 = answer = c"
Answer: c
Python program:
a = 8 * 5
b = 8 * 5
c = 5 * 6
d = b + c 
e = a / d
Problem: after decreasing 24 % in the price of an article costs rs . 1064 . find the actual cost of an article ?
Options: a ) 1667 , b ) 6789 , c ) 1200 , d ) 6151 , e ) 1400
Rationale: "cp * ( 76 / 100 ) = 1064 cp = 14 * 100 = > cp = 1400 answer : e"
Answer: e
Python program:
a = 24 / 100
b = 1 - a
c = 1064 / b