euclaise/mathqa_programs huggingface dataset:
Problem: at a supermarket , john spent 1 / 5 of his money on fresh fruits and vegetables , 1 / 3 on meat products , and 1 / 10 on bakery products . if he spent the remaining $ 11 on candy , how much did john spend at the supermarket ?
Options: a ) $ 20 , b ) $ 30 , c ) $ 50 , d ) $ 90 , e ) $ 110
Rationale: "let ' s let t = total number of dollars spent at the supermarket . with this variable we can set up an equation and determine t . we are given that john spent 1 / 5 of his money on fresh fruits and vegetables , or ( 1 / 5 ) t , 1 / 3 on meat products , or ( 1 / 3 ) t , and 1 / 10 on bakery products , or ( 1 / 10 ) t . we are also given that he spent the remaining $ 11 on candy . since we know where all his money was allocated , we can sum these values together and set the sum to t . so we have : ( 1 / 5 ) t + ( 1 / 3 ) t + ( 1 / 10 ) t + 11 = t to get rid of the fractions we can multiply the entire equation by 30 , and we obtain : 6 t + 10 t + 3 t + 330 = 30 t 19 t + 330 = 30 t 330 = 11 t t = 30 john spent $ 90 at the supermarket . answer : b"
Answer: b
Python program:
a = 1 / 10
b = 1 / 3
c = a + b 
d = 1 / 5
e = c + d 
f = 1 - e
g = 11 / f
Problem: a and b finish the job in 15 days . while a , b and c can finish it in 12 days . c alone will finish the job in
Options: a ) 40 days , b ) 30 days , c ) 60 days , d ) 70 days , e ) 50 days
Rationale: "explanation : 12 = ( 15 * x ) / ( 15 + x ) 180 + 12 x = 15 x 3 x = 180 x = 60 answer : option c"
Answer: c
Python program:
a = 12 * 15
b = 15 - 12
c = a / b
Problem: one ball will drop from a certain height . the height it will reach after rebounding from the floor is 50 percent of the previous height . the total travel is 250 cm when it touches the floor on third time . what is the value of the original height ?
Options: a ) 80 cm , b ) 90 cm , c ) 100 cm , d ) 120 cm , e ) 130 cm
Rationale: "when ball comes down , then i have indicated the distance covered in green when ball goes up , then i have indicated the distance covered in red distance travelled uptil the ball touches the floor 3 rd time : h + 0.5 h + 0.5 h + 0.5 * 0.5 h + 0.5 * 0.5 h h + 2 * 0.5 * h + 2 * 0.25 * h = h ( 1 + 2 * 0.5 + 2 * 0.25 ) = h ( 1 + 1 + 0.5 ) = 250 2.5 h = 250 h = 100 . c is the answer ."
Answer: c
Python program:
a = 50 / 100
b = 2 + a 
c = 250 / b
Problem: a number divided by 44 leaves remainder 17 what is the remainder when same number divided by 8
Options: a ) 5 , b ) 7 , c ) 9 , d ) 10 , e ) 11
Rationale: "add 44 + 17 = 61 now 61 divided by 8 so we get 5 as reaminder answer : a"
Answer: a
Python program:
a = 17 - 8
b = 17 - 8
c = a / b
Problem: in a certain city , 60 percent of the registered voters are democrats and the rest are republicans . in a mayoral race , if 75 percent of the registered voters who are democrats and 30 percent of the registered voters who are republicans are expected to vote for candidate a , what percent of the registered voters are expected to vote for candidate a ?
Options: a ) 50 % , b ) 53 % , c ) 54 % , d ) 55 % , e ) 57 %
Rationale: "say there are total of 100 registered voters in that city . thus 60 are democrats and 40 are republicans . 60 * 0.75 = 45 democrats are expected to vote for candidate a ; 40 * 0.30 = 12 republicans are expected to vote for candidate a . thus total of 45 + 12 = 57 registered voters are expected to vote for candidate a , which is 57 % of the total number of registered voters . answer : e ."
Answer: e
Python program:
a = 75 / 100
b = 60 * a
c = 100 - 60
d = 30 / 100
e = c * d
f = b + e
Problem: a rectangular tank needs to be coated with insulation . the tank has dimensions of 4 feet , 5 feet , and 2 feet . each square foot of insulation costs $ 20 . how much will it cost to cover the surface of the tank with insulation ?
Options: a ) $ 1520 , b ) $ 1640 , c ) $ 1780 , d ) $ 1850 , e ) $ 1960
Rationale: "the total surface area is 2 ( 2 * 4 + 4 * 5 + 2 * 5 ) = 76 square feet the total cost is 76 * $ 20 = $ 1520 the answer is a ."
Answer: a
Python program:
a = surface_rectangular_prism * (
Problem: a reduction of 10 % in the price of salt enables a lady to obtain 20 kgs more for rs . 400 , find the original price per kg ?
Options: a ) 2.0 , b ) 2.8 , c ) 2.2 , d ) 2.5 , e ) 3.0
Rationale: "answer : 400 * ( 10 / 100 ) = 40 - - - 20 ? - - - 1 = > rs . 2 400 - - - 360 ? - - - 2 = > rs . 2.22 . answer : c"
Answer: c
Python program:
a = 10 / 100
b = a * 400
c = b / 20
d = 10 / 100
e = d * 400
f = c / e
g = f * 100
Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 2 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ?
Options: a ) s . 4528 , b ) s . 1812 , c ) s . 4527 , d ) s . 4530 , e ) s . 4521
Rationale: "area of the four walls = 2 h ( l + b ) since there are doors and windows , area of the walls = 2 * 12 ( 15 + 25 ) - ( 6 * 3 ) - 3 ( 4 * 3 ) = 906 sq . ft . total cost = 906 * 2 = rs . 1812 answer : b"
Answer: b
Python program:
a = 2 * 12
b = 15 + 25 
c = a * b
d = 6 * 3
e = c - d
f = 4 * 3
g = 3 * f
h = e - g
i = h * 2
Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 300 ?
Options: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900
Rationale: "36 = 3 ^ 2 * 2 ^ 2 . 36 ^ 300 = 3 ^ 600 * 2 ^ 600 the answer is d ."
Answer: d
Python program:
a = 36 - 300
b = a * 300
Problem: huey ' s hip pizza sells two sizes of square pizzas : a small pizza that measures 8 inches on a side and costs $ 10 , and a large pizza that measures 12 inches on a side and costs $ 20 . if two friends go to huey ' s with $ 30 apiece , how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone ?
Options: a ) 5 square inches , b ) 10 square inches , c ) 16 square inches , d ) 25 square inches , e ) 350 square inches
Rationale: "in the first case each can buy one pizza of $ 10 and one pizza of $ 20 . in square inches that would be ( 8 * 8 = 64 ) for the small pizza and ( 12 * 12 = 144 ) for the large pizza . in total sq inches that would be ( 64 + 144 ) * 2 = 416 sq inches . in the second case if they pool their money together they can buy 3 large pizzas . in terms of square inches that would be 3 * 144 = 432 sq inches . hence , the difference is 16 square inches more ( 432 - 416 ) . the correct answer is c"
Answer: c
Python program:
a = 12 ** 2
b = a * 3
c = 8 ** 2
d = 12 ** 2
e = c + d 
f = 8 ** 2
g = 12 ** 2
h = f + g 
i = e + h 
j = b - i
Problem: 30 men can do a work in 40 days . when should 16 men leave the work so that the entire work is completed in 40 days after they leave the work ?
Options: a ) 87 days , b ) 14 days , c ) 55 days , d ) 44 days , e ) 22 days
Rationale: "total work to be done = 30 * 40 = 1200 let 16 men leave the work after ' p ' days , so that the remaining work is completed in 40 days after they leave the work . 40 p + ( 16 * 40 ) = 1200 40 p = 560 = > p = 14 days answer : b"
Answer: b
Python program:
a = 30 * 40
b = 40 * 16
c = a - b
d = c / 40
Problem: what is the normal price of an article sold at $ 126 after two successive discounts of 10 % and 20 % ?
Options: a ) $ 155 , b ) $ 165 , c ) $ 175 , d ) $ 185 , e ) $ 195
Rationale: "0.8 * 0.9 * cost price = $ 126 cost price = $ 175 the answer is c ."
Answer: c
Python program:
a = 100 - 10
b = a / 100
c = 100 - 20
d = c / 100
e = b * d
f = 126 / e
Problem: two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 40 % and 20 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of
Options: a ) 18 % , b ) 20 % , c ) 21 % , d ) 33 % , e ) can not be determined
Rationale: answer : d .
Answer: d
Python program:
a = 40 * 4
b = a / 2
c = 40 + 5 
d = b + c
Problem: there are 280 female managers in a certain company . find the total number of female employees in the company , if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers .
Options: a ) 600 , b ) 650 , c ) 700 , d ) 750 , e ) none of these
Rationale: as per question stem 2 / 5 m ( portion of men employees who are managers ) + 280 ( portion of female employees who are managers ) = 2 / 5 t ( portion of total number of employees who are managers ) , thus we get that 2 / 5 m + 280 = 2 / 5 t , or 2 / 5 ( t - m ) = 280 , from here we get that t - m = 700 , that would be total number of female employees and the answer ( c )
Answer: c
Python program:
a = 2 / 5
b = 280 / a
Problem: the average monthly income of p and q is rs . 2050 . the average monthly income of q and r is rs . 5250 and the average monthly income of p and r is rs . 6200 . the monthly income of p is :
Options: a ) 3050 , b ) 3000 , c ) 4000 , d ) 4050 , e ) 3100
Rationale: "explanation : let p , q and r represent their respective monthly incomes . then , we have : p + q = ( 2050 x 2 ) = 4100 . . . . ( i ) q + r = ( 5250 x 2 ) = 10500 . . . . ( ii ) p + r = ( 6200 x 2 ) = 12400 . . . . ( iii ) adding ( i ) , ( ii ) and ( iii ) , we get : 2 ( p + q + r ) = 27000 or p + q + r = 13500 . . . . ( iv ) subtracting ( ii ) from ( iv ) , we get p = 3000 . p ' s monthly income = rs . 3000 . answer : b"
Answer: b
Python program:
a = 2050 + 6200 
b = a - 5250
Problem: running at the same constant rate , 16 identical machines can produce a total of 32 shirt per minute . at this rate , how many shirt could 8 such machines produce in 10 minutes ?
Options: a ) 911 , b ) 100 , c ) 101 , d ) 160 , e ) 785
Rationale: "let ' s take the approach that uses the answer choices to eliminate wasted time . 32 / 16 = 2 shirt per minute per machine . 8 machines = 16 per minute . 10 minutes worth = 160 shirt . looking at the answers it is clear . . . we can only choose ( d ) the correct answer is d ."
Answer: d
Python program:
a = 32 / 16
b = a * 10
c = b * 8
Problem: the events a and b are independent , the probability that event a occurs is greater than 0 , and the probability that event a occurs is twice the probability that event b occurs . the probability that at least one of events a and b occurs is 14 times the probability that both events a and b occur . what is the probability that event a occurs ?
Options: a ) 77 / 2 , b ) 1 / 7 , c ) 78 / 85 , d ) 1 / 5 , e ) 47 / 85
Rationale: "let us say probability of a occuring is a . let us say probability of b occuring is b . a = 2 b probability ( either a or b or both ) = 14 times probability ( a and b ) a * ( 1 - b ) + b * ( 1 - a ) + ab = 14 * ab substituting a = 2 b in the second equation : 2 b * ( 1 - b ) + b * ( 1 - 2 b ) + 2 b * b = 14 * 2 b * b 3 b - 2 b ^ 2 = 28 b ^ 2 3 b = 30 b ^ 2 b = 3 / 30 = 1 / 10 so , a = 2 b = 1 / 5 the correct answer is d ."
Answer: d
Python program:
a = 2 + 1 
b = 14 * 2
c = b + 2 
d = a / c
e = d * 2
Problem: three numbers are in the ratio of 3 : 4 : 6 and their product is 1944 . the largest of these numbers is
Options: a ) 6 , b ) 12 , c ) 18 , d ) 26 , e ) 28
Rationale: "solution let the numbers be 3 x , 4 x and 6 x . then , 3 x × 4 x × 6 x = 1944 ‹ = › 72 x 3 = 1944 ‹ = › x 3 = 27 ‹ = › x = 3 therefore , largest number = 6 x = 18 . answer c"
Answer: c
Python program:
a = 3 * 6
Problem: two stations p and q are 200 km apart on a straight track . one train starts from p at 7 a . m . and travels towards q at 20 kmph . another train starts from q at 8 a . m . and travels towards p at a speed of 25 kmph . at what time will they meet ?
Options: a ) 10 am , b ) 12 noon , c ) 10.30 am , d ) 12.30 am , e ) 11 am
Rationale: "assume both trains meet after x hours after 7 am distance covered by train starting from p in x hours = 20 x km distance covered by train starting from q in ( x - 1 ) hours = 25 ( x - 1 ) total distance = 200 = > 20 x + 25 ( x - 1 ) = 200 = > 45 x = 225 = > x = 5 means , they meet after 5 hours after 7 am , ie , they meet at 12 noon answer is b ."
Answer: b
Python program:
a = 200 + 25 
b = 20 + 25 
c = a / b
d = c + 7
Problem: walking at 1 / 3 th of its usual speed a cab is 20 mnts late . find its usual time to cover the journey ?
Options: a ) 10 m , b ) 15 m , c ) 20 m , d ) 25 m , e ) 12 m
Rationale: "new speed = 1 / 3 th of usual speed new time = 3 of usual time 3 ut - ut = 20 m 2 ut = 20 m ut = 10 m answer is a"
Answer: a
Python program:
a = 1 * 20
Problem: there is food for 760 men for 22 days . how many more men should join after two days so that the same food may last for 17 days more ?
Options: a ) 89 men , b ) 120 men , c ) 90 men , d ) 60 men , e ) 134 men
Rationale: "760 - - - - 22 760 - - - - 20 x - - - - - 17 x * 17 = 760 * 20 x = 894 760 - - - - - - - 134 answer : e"
Answer: e
Python program:
a = 22 - 2
b = 760 * a
c = b / 17
d = c - 760
Problem: find large number from below question the difference of two numbers is 1015 . on dividing the larger number by the smaller , we get 9 as quotient and the 15 as remainder
Options: a ) 1209 , b ) 1324 , c ) 1245 , d ) 1140 , e ) 1635
Rationale: "let the smaller number be x . then larger number = ( x + 1015 ) . x + 1015 = 9 x + 15 8 x = 1000 x = 125 large number = 125 + 1015 = 1140 answer : d"
Answer: d
Python program:
a = 1015 - 15
b = 9 - 1
c = a / b
d = c * 9
Problem: a store owner estimates that the average price of type a products will increase by 35 % next year and that the price of type b products will increase by 10 % next year . this year , the total amount paid for type a products was $ 4500 and the total price paid for type b products was $ 8300 . according to the store owner ' s estimate , and assuming the number of products purchased next year remains the same as that of this year , how much will be spent for both products next year ?
Options: a ) $ 14,755 , b ) $ 15,205 , c ) $ 16,000 , d ) $ 16,225 , e ) $ 17,155
Rationale: "cost of type a products next year = 1.35 * 4500 = 6075 cost of type b products next year = 1.1 * 8300 = 9130 total 6075 + 9130 = 15205 option b"
Answer: b
Python program:
a = 3 / 4
b = a * 1000
Problem: in a classroom , the average age of boys ( b ) is g and the average age of girls ( g ) is b . the average age of all is b + g . at the time of calculation , the class teacher , who is 42 years old was also present in the class . can you find the value of b + g ?
Options: a ) 8 , b ) 3 , c ) 7 , d ) 9 , e ) 10
Rationale: a b + g = 8 for b in range ( 199 ) : for g in range ( 199 ) : sum 1 = 2 * b * g + 42 sum 2 = ( b + g ) * ( b + g + 1 ) if ( sum 1 = = sum 2 ) : print ( b , g , sum 1 ) ( b , g ) = ( 35 ) = > b + g = 8
Answer: a
Python program:
a = 42 * 4
b = a + 2 
c = math.sqrt(b)
d = c + 1 
e = d / 2
f = math.floor(e)
g = f - 1
h = g / 2
i = 42 * 4
j = i + 2 
k = 42 * 4
l = k + 2 
m = math.sqrt(l)
n = m + 1 
o = n / 2
p = math.floor(o)
q = p ** 2
r = j - q
s = math.sqrt(r)
t = s - 1
u = t / 2
v = h + u
Problem: mr . tom invested in fund x and fund y . the total amount she invested , in both funds combined , was $ 100000 . in one year , fund x paid 23 % and fund y paid 17 % . the interest earned in fund y was exactly $ 200 greater than the interest earned in fund x . how much did ms . tom invest in fund x ?
Options: a ) $ 32000 , b ) $ 36000 , c ) $ 42000 , d ) $ 44000 , e ) $ 45000
Rationale: x + y = 100000 0.17 y = 0.23 a + 200 take away decimals first : 17 y = 23 x + 20000 isolate first equation to solve for x ( your goal ) : y = 100000 - y plug in for b : 17 ( 100000 - x ) = 23 x + 20000 1 , 700000 - 17 x = 23 x + 20000 1 , 680000 = 40 x 1 , 680000 / 40 = x x = 42000 = answer choice c
Answer: c
Python program:
a = 17 / 100
b = a * 100000
c = b - 200
d = 17 / 100
e = 23 / 100
f = d + e 
g = c / f
Problem: what is the rate percent when the simple interest on rs . 800 amount to rs . 176 in 4 years ?
Options: a ) 5 % , b ) 8 % , c ) 3 % , d ) 9 % , e ) 5.5 %
Rationale: "176 = ( 180 * 4 * r ) / 100 r = 5.5 % answer : e"
Answer: e
Python program:
a = 100 * 176
b = 800 * 4
c = a / b
Problem: a 6 litre sol is 35 % alcohol . how many litres of pure alcohol must be added to produce a sol that is 50 % alcohol ?
Options: a ) a . 0.6 , b ) b . 1 , c ) c . 2.1 , d ) d . 1.8 , e ) e . 5.4
Rationale: "35 % of 6 = 2.1 50 % of 6 = 3 shortage is 0.9 so we need to have 0.9 / 50 % to get 50 % alcohol content . = 1.8 d"
Answer: d
Python program:
a = 35 / 100
b = a * 6
c = 2 * b
d = 6 - c
Problem: sushil got thrice as many marks in english as in science . his total marks in english , science and maths are 170 . if the ratio of his marks in english and maths is 1 : 4 , find his marks in science ?
Options: a ) 17 , b ) 77 , c ) 66 , d ) 55 , e ) 31
Rationale: s : e = 1 : 3 e : m = 1 : 4 - - - - - - - - - - - - s : e : m = 1 : 4 : 12 1 / 17 * 170 = 17 answer : a
Answer: a
Python program:
a = 1 * 3
b = a + 1 
c = 1 * 3
d = 1 * 3
e = d + 1 
f = c * e
g = b + f 
h = g + 1
Problem: if 6 parallel lines in a plane is intersected by a family of another 8 parallel lines , how many parallelograms are there in the network thus formed ?
Options: a ) 80 , b ) 63 , c ) 420 , d ) 160 , e ) 1260
Rationale: "parallelogram can formed by 2 horizontal and 2 vertical lines for horizontal 6 c 2 for vertical 8 c 2 total parallelogram is 6 c 2 * 8 c 2 = 15 * 28 = 420 answer : c"
Answer: c
Python program:
a = 6 - 1
b = 6 * a
c = b / 2
d = 8 - 1
e = 8 * d
f = e / 2
g = c * f
Problem: what is the remainder if 7 ^ 8 is divided by 100 ?
Options: a ) 7 , b ) 1 , c ) 9 , d ) 10 , e ) 11
Rationale: "7 ^ 8 can be written as ( 7 ^ 4 ) ^ 2 if we divide 7 ^ 4 by 100 the reminder is 1 so , ( 7 ^ 4 ) ^ 2 by 100 , the reminder is 1 ^ 2 = 1 answer : b"
Answer: b
Python program:
a = 100 / 2
b = 7 * 7
c = a - b
Problem: 65 % of x = 20 % of 617.50 . find the value of x ?
Options: a ) 100 , b ) 190 , c ) 150 , d ) 180 , e ) 199
Rationale: "65 % of x = 20 % of 615.50 then , 65 / 100 * x = 20 / 100 * 6175 / 10 x = 190 answer is b"
Answer: b
Python program:
a = 617 / 50
b = a * 20
c = b * 100
d = c / 65
Problem: find the smallest number of five digits exactly divisible by 24 , 48,64 and 88 .
Options: a ) 11952 , b ) 11852 , c ) 11752 , d ) 11652 , e ) 11552
Rationale: "smallest number of five digits is 10000 . required number must be divisible by l . c . m . of 24,48 , 64,88 i . e 2012 , on dividing 10000 by 2012 , we get 60 as remainder . therefore , required number = 10000 + ( 2012 â € “ 60 ) = 11952 . answer is a ."
Answer: a
Python program:
a = 100 * 100
b = 10 * a
c = b - 100
d = c + 48
Problem: how many numbers from 12 to 82 are exactly divisible by 6 ?
Options: a ) 5 , b ) 7 , c ) 9 , d ) 11 , e ) 12
Rationale: "option ' d ' 12 / 6 = 2 and 82 / 6 = 13 = = > 13 - 2 = 11 numbers"
Answer: d
Python program:
a = 82 / 6
b = math.floor(a)
c = b * 6
d = 12 / 6
e = math.floor(d)
f = e + 1 
g = f * 6
h = c - g
i = h / 6
j = i + 1
Problem: 10 men and 15 women finish a work in 6 days . one man alone finishes that work in 100 days . in how many days will a woman finish the work ?
Options: a ) 125 days , b ) 150 days , c ) 90 days , d ) 225 days , e ) none of these
Rationale: 15 women ' s work of a day = 1 ⁄ 6 - 1 ⁄ 10 ⇒ 1 ⁄ 15 part ∴ for 1 whole part a woman will take = 15 × 15 = 225 days . answer d
Answer: d
Python program:
a = 1 / 6
b = 1 / 100
c = 10 * b
d = a - c
e = d / 15
f = 1/(e)
Problem: a certain quantity is measured on two different scales , the r - scale and the s - scale , that are related linearly . measurements on the r - scale of 6 and 24 correspond to measurements on the s - scale of 30 and 60 , respectively . what measurement on the r - scale corresponds to a measurement of 100 on the s - scale ?
Options: a ) 20 , b ) 36 , c ) 48 , d ) 60 , e ) 84
Rationale: question says they are both related linearly so they the relationships can be represented by standard linear definition y = mx + b . let s scale = y . and r scale = x . 30 = 6 m + b eqn 1 60 = 24 m + b eqn 2 eqn 2 - eqn 1 = > 30 = 18 m = > m = 5 / 3 solving for b using either equation gives us b = 20 linear relationship is represented by y = ( 5 / 3 ) x + 20 solve for 100 : 100 = 5 / 3 x + 20 80 = 5 / 3 x x = 48 ans = c
Answer: c
Python program:
a = 100 - 60
b = 24 - 6
c = a * b
d = c / 30
e = d + 24
Problem: a family x went for a vacation . unfortunately it rained for 13 days when they were there . but whenever it rained in the mornings , they had clear afternoons and vice versa . in all they enjoyed 11 mornings and 12 afternoons . how many days did they stay there totally ?
Options: a ) 16 , b ) 18 , c ) 20 , d ) 13 , e ) 14
Rationale: explanation : clearly 11 mornings and 12 afternoons = 23 half days = > since 13 days raining means 13 half days . = > so 23 - 13 = 10 halfdays ( not effecetd by rain ) = > so 10 halfdays = 5 fulldays hence , total no . of days = 13 + 5 = 18 days answer : b
Answer: b
Python program:
a = 11 + 12 
b = a - 13
c = b / 2
d = 13 + c
Problem: what is 92 % of 4 / 5 ?
Options: a ) 6.9 , b ) 69.0 , c ) 0.736 , d ) 0.6859 , e ) 0.69
Rationale: "92 % * ( 4 / 5 ) = 0.92 * 0.8 = 0.736 answer : c"
Answer: c
Python program:
a = 3 + 2 
b = a * 2
c = 3 * 4
d = c * 100
e = b * d
f = 3 + 4 
g = 3 + 2 
h = f * g
i = 3 + 2 
j = i * 2
k = h * j
l = e + k 
m = 3 + 3 
n = l + m 
o = 92 * n
p = o / 100
Problem: a textile manufacturing firm employees 125 looms . it makes fabrics for a branded company . the aggregate sales value of the output of the 125 looms is rs 5 , 00,000 and the monthly manufacturing expenses is rs 1 , 50,000 . assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms . monthly establishment charges are rs 75000 . if one loom breaks down and remains idle for one month , the decrease in profit is :
Options: a ) 13000 , b ) 7000 , c ) 10000 , d ) 2800 , e ) none of these
Rationale: "explanation : profit = 5 , 00,000 â ˆ ’ ( 1 , 50,000 + 75,000 ) = rs . 2 , 75,000 . since , such loom contributes equally to sales and manufacturing expenses . but the monthly charges are fixed at rs 75,000 . if one loan breaks down sales and expenses will decrease . new profit : - = > 500000 ã — ( 124 / 125 ) â ˆ ’ 150000 ã — ( 124 / 125 ) â ˆ ’ 75000 . = > rs 2 , 72,200 . decrease in profit = > 2 , 75,000 â ˆ ’ 2 , 72,200 = > rs . 2,800 . answer : d"
Answer: d
Python program:
a = 5 * 1000
b = a * 100
c = 75000 * 2
d = c + 75000 
e = b - d
f = 125 - 1
g = f / 125
h = 5 * 1000
i = h * 100
j = g * i
k = 75000 * 2
l = 125 - 1
m = l / 125
n = k * m
o = j - n
p = o - 75000
q = e - p
Problem: a milk man has 20 liters of milk . if he mixes 25 liters of water , which is freely available , in 20 liters of pure milk . if the cost of pure milk is rs . 18 per liter , then the profit of the milkman , when he sells all the mixture at cost price is :
Options: a ) 20 % , b ) 45 % , c ) 33.33 % , d ) 18 % , e ) none of these
Rationale: "explanation : when the water is freely available and all the water is sold at the price of the milk , then the water gives the profit on the cost of 20 liters of milk . therefore , profit percentage = 45 % . answer : b"
Answer: b
Python program:
a = 20 + 25 
b = a + 10 
c = 25 / 2
d = c + 3 
e = b + d 
f = e * 18
g = 20 * 18
h = f - g
i = 20 * 18
j = h / i
k = j * 100
Problem: a thief is spotted by a policeman from a distance of 100 meters . when the policeman starts the chase , the thief also starts running . if the speed of the thief be 8 km / hr and that of the policeman 10 km / hr , how far the thief will have run before he is overtaken ?
Options: a ) 350 m , b ) 200 m , c ) 400 m , d ) 500 m , e ) none of them
Rationale: "relative speed of the policeman = ( 10 - 8 ) km / hr = 2 km / hr . time taken by police man to cover ( 100 m / 1000 ) x 1 / 2 hr = 1 / 20 hr . in 1 / 20 hrs , the thief covers a distance of 8 x 1 / 20 km = 2 / 5 km = 400 m answer is c ."
Answer: c
Python program:
a = 100 * 8
b = 10 - 8
c = a / b