euclaise/mathqa_programs huggingface dataset:
Problem: in the county of veenapaniville , there are a total of 50 high schools , of 3 kinds : 25 public schools , 16 parochial schools , and 9 private independent schools . these 50 schools are divided between 3 districts : a , b , and c . district a has 18 high schools total . district b has 17 high schools total , and only two of those are private independent schools . if district c has an equal number of each of the 3 kinds of schools , how many private independent schools are there in district a ?
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Rationale: “ in the county of veenapaniville , there are a total of 50 high schools , of three kinds : 25 public schools , 16 parochial schools , and 9 private independent schools . ” “ district a has 18 high schools total . ” “ district b has 17 high schools total , and only two of those are private independent schools . ” “ district c has an equal number of each of the three kinds of schools . ” hmm . that ’ s not a simple number . let ’ s put that on hold for a moment . so far , from the matrix it looks like we could figure out the missing number in the “ totals ” row . that number must be 15 , because 18 + 17 + 15 = 50 . now , go back to that last fact : “ district c has an equal number of each of the three kinds of schools . ” now that makes sense . district c has 15 schools , so it must have 5 of each kind : the question is asking : “ how many private independent schools are there in district a ? ” well , now that ’ s just a matter of adding across the “ private independent ” row . we know 2 + 2 + 5 = 9 , so the missing number must be 2 . there ’ s still a good deal of information we can ’ t figure out from the information given in the question , but we are able to answer the specific question asked here . there are 2 private independent schools in district a , so the answer = ( a ) .
Answer: a
Python program:
a = 18 + 17 
b = 50 - a
c = b / 3
d = c + 2 
e = 9 - d
Problem: a train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 12 seconds . what is the length of the train in meters ?
Options: a ) 400 meters , b ) 120 meters , c ) 1777 meters , d ) 60 meters , e ) none of these
Rationale: "train overtakes a bike means that we are talking about total length of the train . ( train ' s head is close to bike when it started and its tail crosses the bike when it overtakes the bike ) relative speed = 100 - 64 = 36 km / h = 36000 m / h time = 12 seconds distance = speed * time 36000 * 12 / 3600 = 120 meters . b is the answer ."
Answer: b
Python program:
a = 100 - 64
b = a * const_0_2778
c = b * 12
Problem: how many positive integers less than 22 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3 ?
Options: a ) 17 , b ) 13 , c ) 12 , d ) 11 , e ) 10
Rationale: "the number = 2 a + 3 b < 20 when a = 1 , b = 1 , 2 , 3 , 4 , 5 , 6 - > 2 a = 2 ; 3 b = 3 , 6 , 9 , 12 , 15 , 18 - > the number = 5 , 8 , 11 , 14 , 17 , 20 - - > 6 numbers when a = 2 , b = 1 , 2,3 , 4,5 , 6 - > . . . . - - > 6 numbers when a = 3 , b = 1,2 , 3,4 , 5 - - > . . . . - - > 5 numbers total number is already 17 . look at the answer there is no number greater than 17 - - > we dont need to try any more answer must be a"
Answer: a
Python program:
a = 22 - 2
b = a - 4
c = b - 1
Problem: the average weight of 19 students is 15 kg . by the admission of a new student the average weight is reduced to 14.4 kg . the weight of the new student is ?
Options: a ) 10.6 kg , b ) 3 kg , c ) 11 kg , d ) 14.9 kg , e ) none
Rationale: "answer weight of new student = total weight of all 20 students - total weight of initial 19 students = ( 20 x 14.4 - 19 x 15 ) kg = 3 kg . correct option : b"
Answer: b
Python program:
a = 19 + 1 
b = a * 14
c = 19 * 15
d = b - c
Problem: a , b , c can complete a piece of work in 21 , 6,12 days . working together , they complete the same work in how many days ?
Options: a ) 2 , b ) 4 / 5 , c ) 7 / 9 , d ) 10 , e ) 84 / 25
Rationale: "a + b + c 1 day work = 1 / 21 + 1 / 6 + 1 / 12 = 25 / 84 a , b , c together will complete the job in 84 / 25 days answer is e"
Answer: e
Python program:
a = 1 / 21
b = 4 + 2 
c = 1 / b
d = a + c 
e = 4 + 2 
f = 2 * e
g = 1 / f
h = d + g 
i = 1 / h
Problem: ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 26 years . what is deepak present age
Options: a ) 14 , b ) 15 , c ) 20 , d ) 22 , e ) 23
Rationale: "explanation : present age is 4 x and 3 x , = > 4 x + 6 = 26 = > x = 5 so deepak age is = 3 ( 5 ) = 15 answer : option b"
Answer: b
Python program:
a = 26 - 6
b = a * 3
c = b / 4
Problem: a new model car was not selling as expected and the base retail price was lowered by 5 % to increase sales . a customer haggled on the price and negotiated a final agreed price of 90 % of the retail price . how much did the customer save off the retail price ?
Options: a ) 10.5 % , b ) 11.5 % , c ) 12.5 % , d ) 13.5 % , e ) 14.5 %
Rationale: quantity x rate = price 1 x 1 = 1 0.9 x 0.95 = 0.855 decrease in price = ( 0.145 / 1 ) ã — 100 = 14.5 % answer = option e
Answer: e
Python program:
a = 90 / 100
b = 100 - 5
c = b / 100
d = a * c
e = d * 100
f = 100 - e
Problem: a machine , working at a constant rate , manufactures 40 pencils in 30 minutes . how many pencils does it make in 1 hr 30 min ?
Options: a ) 120 , b ) 125 , c ) 110 , d ) 115 , e ) 121
Rationale: "change 1 hr 30 min to 90 min . for this , we need to set up a simple proportion of pensils per time 40 / 30 = s / 90 the absolutely worst thing you could do at this point in the problem is to cross - multiply . that would be a supremely unstrategic move . instead , cancel before you multiply . for what we can and can ’ t cancel in a proportion , seethis post . we can cancel the factor of 10 in the 40 and 30 . 4 / 3 = s / 90 we can cancel the common factor of 3 in the two denominators . 4 / 1 = s / 30 . now that the fraction is entirely simplified , we can cross - multiply . s = 4 * 30 = 120 the machine would be 120 pencils in 1 hr 30 min . answer : a"
Answer: a
Python program:
a = 1 * const_60
b = a + 30 
c = b / 30
d = c * 40
Problem: sandy buys an old scooter for $ 900 and spends $ 300 on its repairs . if sandy sells the scooter for $ 1320 , what is the gain percent ?
Options: a ) 2 % , b ) 4 % , c ) 6 % , d ) 8 % , e ) 10 %
Rationale: "selling price / total cost = 1320 / 1200 = 1.1 the gain percent is 10 % . the answer is e ."
Answer: e
Python program:
a = 300 + 900 
b = 1320 - a
c = 300 + 900 
d = b / c
e = d * 100
Problem: the cross - section of a cannel is a trapezium in shape . if the cannel is 8 m wide at the top and 2 m wide at the bottom and the area of cross - section is 770 sq m , the depth of cannel is ?
Options: a ) 150 , b ) 152 , c ) 154 , d ) 156 , e ) 158
Rationale: "1 / 2 * d ( 8 + 2 ) = 770 d = 154 answer : c"
Answer: c
Python program:
a = 8 + 2 
b = a / 2
c = 770 / b
d = c / 2
e = d / 2
Problem: a train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 80 seconds . what is the length of the train in meters ?
Options: a ) 400 meters , b ) 1111 meters , c ) 800 meters , d ) 1822 meters , e ) none of these
Rationale: "train overtakes a bike means that we are talking about total length of the train . ( train ' s head is close to bike when it started and its tail crosses the bike when it overtakes the bike ) relative speed = 100 - 64 = 36 km / h = 36000 m / h time = 80 seconds distance = speed * time 36000 * 80 / 3600 = 800 meters . c is the answer ."
Answer: c
Python program:
a = 100 - 64
b = a * const_0_2778
c = b * 80
Problem: if 8 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days ?
Options: a ) 127 , b ) 237 , c ) 287 , d ) 450 , e ) 281
Rationale: "explanation : let the required no of hectares be x . then more men , more hectares ( direct proportion ) more days , more hectares ( direct proportion ) men \ : 8 : 36 \ \ days \ : 24 : 30 \ end { matrix } \ right \ } : 80 : x \ inline \ fn _ jvn \ therefore \ inline \ fn _ jvn 8 \ times 24 \ times x = 36 \ times 30 \ times 80 \ inline \ fn _ jvn \ leftrightarrow \ inline \ fn _ jvn x = \ frac { 36 \ times 30 \ times 80 } { 8 \ times 24 } \ inline \ fn _ jvn \ leftrightarrow x = 450 answer : d"
Answer: d
Python program:
a = 36 * 30
b = 8 * 24
c = b / 80
d = a / c
Problem: 1 / 4 of all married couples have more than one child . 1 / 5 of all married couples have more than 3 children . what fraction of all married couples have 2 or 3 children ?
Options: a ) 1 / 5 , b ) b . 1 / 4 , c ) 1 / 20 , d ) 3 / 5 , e ) it can not be determined from the given information .
Rationale: "plug in simple numbers . take 100 couples for example . 1 / 4 of 100 couples have more than one child = 25 couples . 1 / 5 of 100 couples have more than 3 kids = 20 couples . this implies that 20 couples are a subset of 25 couples and the complement of 25 couples within those 100 couples , which equals 75 couples have either one or no kids at all . we need to find couples that have 2 or 3 kids , so essentially , it is 25 - 20 = 5 . fraction will be 5 / 100 = 1 / 20 . option c"
Answer: c
Python program:
a = 1 / 4
b = 1 / 4
c = a - b
Problem: a welder received an order to make a 1 million liter cube - shaped tank . if he has only 4 x 2 meter sheets of metal that can be cut , how many metal sheets will be required for this order r ? ( 1 cubic meter = 1000 liters )
Options: a ) 92 , b ) 90 , c ) 82 , d ) 78 , e ) 75
Rationale: i get 75 . a cube with 1 million liters cube would be a cube with the dimensions of 100 * 100 * 100 . 4 * 2 covers 8 sq liters so 100 / 8 = 12.5 . r = 12.5 * 6 = 75 . e
Answer: e
Python program:
a = 1 / 3
b = 1000 ** a
c = b ** 2
d = 4 + 2 
e = c * d
f = 4 * 2
g = e / f
Problem: a man can row downstream at the rate of 26 kmph and upstream at 12 kmph . find the man ’ s rate in still water and rate of current ?
Options: a ) 8.5 , b ) 8.0 , c ) 9.5 , d ) 7.0 , e ) 8.25
Rationale: "rate of still water = 1 / 2 ( down stream + upstream ) = 1 / 2 ( 26 + 12 ) = 19 kmph rate of current = 1 / 2 ( down stream - upstream ) = 1 / 2 ( 26 - 12 ) = 1 / 2 ( 14 ) = 7 kmph answer is d ."
Answer: d
Python program:
a = 26 - 12
b = a / 2
Problem: the perimeter of a rectangle is equal to the perimeter of aright - angled triangle of height 12 cm . if the base of the triangle is equal to the breadth of the rectangle , what is the length of the rectangle ”
Options: a ) 18 cm
b ) 24 cm
c ) 22 cm
d ) data inadequate
e ) none of these
Rationale: p = 2 ( l + b ) = l + b + h = l + b + 12 . data inadequate . answer d
Answer: d
Python program:
a = 12 ** 2
b = 1 + a 
c = math.sqrt(b)
d = 2 * c
Problem: in a renowned city , the average birth rate is 7 people every two seconds and the death rate is 1 people every two seconds . estimate the size of the population net increase that occurs in one day .
Options: a ) 32,300 , b ) 172,800 , c ) 468,830 , d ) 338,200 , e ) 259,200
Rationale: "every 2 seconds , 6 persons are added ( 7 - 1 ) . every second 3 persons are added . in a day 24 hrs = 24 * 60 minutes = 24 * 60 * 60 = 86400 seconds . 86400 * 3 = 259200 option e"
Answer: e
Python program:
a = 7 - 1
b = a * 3600
c = b * 12
Problem: each week , harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week . each week , james is paid x dollars per per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 45 hours if harry and james were paid the same amount last week , how many hours did harry work last week ?
Options: a ) 35 , b ) 36 , c ) 37 , d ) 43 , e ) 39
Rationale: "james worked for 41 hours hence he earned 40 * x + 5 * 2 x = 50 x dollars ; we know that harry also earned the same 50 x dollars , out of which he earned 30 x dollars for thefirst 30 hoursplus 20 x additional dollars . since for each additional hour he gets 1.5 x dollars then he worked for 20 x / 1.5 x = 13 additional hours , so harry worked for total of 30 + 13 = 43 hours . answer : d ."
Answer: d
Python program:
a = 40 + 2 
b = a - 30
c = b / 1
d = c + 30
Problem: how long does a train 150 m long running at the speed of 72 km / hr takes to cross a bridge 132 m length ?
Options: a ) 14.1 sec , b ) 12.1 sec , c ) 16.1 sec , d ) 13.1 sec , e ) 12.15 sec
Rationale: "speed = 72 * 5 / 18 = 20 m / sec total distance covered = 150 + 132 = 282 m . required time = 282 / 20 = 14.1 sec . answer : a"
Answer: a
Python program:
a = 150 + 132 
b = 72 * const_0_2778
c = a / b
Problem: the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 900 gm and 800 gm respectively . if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters , what is the weight ( in kg ) of the mixture ?
Options: a ) 3.84 , b ) 1.75 , c ) 3.44 , d ) 2.72 , e ) none of these
Rationale: "here ' s how i did it . my notes from reading the problem were : 1 l a = 900 gm 1 l b = 800 gm we are mixing five parts ( 3 parts a plus 2 parts b , 5 parts total ) to get 4 l , so 5 x = 4 - - - > x = 4 / 5 . each part is 4 / 5 of a liter . so if we have 3 parts a , we have 900 * 3 * ( 4 / 5 ) = 2160 if we have 2 parts b , we have 800 * 2 * ( 4 / 5 ) = 1280 2160 + 1280 = 3440 solving for units gives us 3.44 so the answer is c"
Answer: c
Python program:
a = 3 * 900
b = 2 * 800
c = a + b 
d = 4 * c
e = 3 + 2 
f = d / e
g = f / 1000
Problem: the list price of an article is rs . 70 . a customer pays rs . 61.11 for it . he was given two successive discounts , one of them being 10 % . the other discount is ?
Options: a ) 8 % , b ) 7 % , c ) 10 % , d ) 3 % , e ) 4 %
Rationale: "explanation : 70 * ( 90 / 100 ) * ( ( 100 - x ) / 100 ) = 61.11 x = 3 % d"
Answer: d
Python program:
a = 10 / 100
b = 70 * a
c = 70 - b
d = c - 61
e = 10 / 100
f = 70 * e
g = 70 - f
h = d / g
i = h * 100
Problem: a train is 300 meter long is running at a speed of 35 km / hour . in what time will it pass a bridge of 115 meter length ?
Options: a ) 29 , b ) 23 , c ) 47.119 , d ) 44.586 , e ) 42.686
Rationale: "speed = 35 km / hr = 35 * ( 5 / 18 ) m / sec = 175 / 18 m / sec total distance = 300 + 115 = 415 meter time = distance / speed = 415 * ( 18 / 175 ) = 42.686 seconds . answer : e"
Answer: e
Python program:
a = 300 + 115 
b = 35 * 1000
c = b / 3600
d = a / c
Problem: the perimeter of an equilateral triangle is 60 . if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 70 , then how long is the base of isosceles triangle ?
Options: a ) 15 , b ) 20 , c ) 25 , d ) 30 , e ) 35
Rationale: "the base of the isosceles triangle is 70 - 20 - 20 = 30 units the answer is d ."
Answer: d
Python program:
a = 60 / 3
b = 70 - a
c = 60 / 3
d = b - c
Problem: the ratio of male to female in a class is 2 : 7 . the career preference of the students in the class are to be represented in a circle graph . if the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference , how many degrees of the circle should be used to represent a career that is preferred by one third of the males and two - third of the females in the class ?
Options: a ) a ) 160 degree
b ) b ) 168 degree
c ) c ) 191 degree
d ) d ) 192 degree
e ) e ) 213 degree
Rationale: here is my approach = > males = > 2 x and females = 7 x = > total = 9 x now 9 x = > 360 therefore 16 x / 3 = > 213 degree . p . s = > 16 x / 3 is nothing but total number of students with the given preference answer e
Answer: e
Python program:
a = 2 + 7 
b = 2 / a
c = b / 3
d = 360 * c
e = 2 + 7 
f = 7 / e
g = 2 / 3
h = f * g
i = 360 * h
j = d + i
Problem: seed mixture x is 40 % ryegrass and 60 % bluegrass by weight ; seed mixture y is 25 % ryegrass and 75 % fescue . if a mixture of x and y contains 28 % ryegrass , what percent of the weight of the mixture is from mixture x ?
Options: a ) 10 % , b ) 20 % , c ) 40 % , d ) 50 % , e ) 60 %
Rationale: "28 % is 3 % - points above 25 % and 12 % - points below 40 % . thus the ratio of mixture y to mixture x is 4 : 1 . the percent of mixture x is 1 / 5 = 20 % . the answer is b ."
Answer: b
Python program:
a = 25 + 1 
b = 28 - a
c = 40 / 100
d = 25 + 1 
e = d / 100
f = c - e
g = b / f
Problem: which is the smallest number divides 2800 and gives a perfect square .
Options: a ) 5
b ) 6
c ) 7
d ) 8
e ) 9
Rationale: 7 is the smallest number which divides 2800 and gives a perfect square . as 2800 = 2 * 2 * 2 * 2 * 5 * 5 * 7 and 7 is not in a pair which gives 400 ( a perfect square of 20 ) on dividing 2800 . answer : c
Answer: c
Python program:
a = 2800 / 2
b = a / 2
c = b / 2
d = c / 2
e = 2 + 3 
f = d / e
g = 2 + 3 
h = f / g
Problem: if a light flashes every 6 seconds , how many times will it flash in 1 / 5 of an hour ?
Options: a ) 81 , b ) 101 , c ) 121 , d ) 141 , e ) 161
Rationale: "in 1 / 5 of an hour there are 12 * 60 = 720 seconds the number of 6 - second intervals = 720 / 6 = 120 after the first flash , there will be 120 more flashes for a total of 121 . the answer is c ."
Answer: c
Python program:
a = 3600 / 4
b = a * 3
c = b / 6
Problem: in how many ways can the integer 800 be expressed as a product of two different positive integers ?
Options: a ) 10 , b ) 7 , c ) 5 , d ) 4 , e ) 2
Rationale: "800 = ( 2 ^ 5 ) * ( 5 ^ 2 ) since 800 is not a perfect square , no of ways = 7 answer b"
Answer: b
Python program:
a = 800 / 1
b = a / 3
c = b - 3
Problem: from the beginning to the end of 2007 , the price of a stock rose 20 percent . in 2008 , it dropped 25 percent . in 2009 , it rose 15 percent . what percent of the stock â € ™ s 2007 starting price was the price of the stock at the end of 2009 ?
Options: a ) 80 , b ) 103.5 , c ) 95 , d ) 100 , e ) 108
Rationale: "assume a value at the beginning of 2007 . as this is a % question , assume p = 100 . at the end of 2007 it becmae = 1.2 * 100 = 120 at the end of 2008 it decreased by 25 % = 120 * . 75 = 90 at the end of 2009 it increased by 20 % = 90 * 1.15 = 103.5 thus ratio = 103.5 / 100 = 1.03 ( in % terms = 103 % ) . thus b is the correct answer ."
Answer: b
Python program:
a = 100 + 20 
b = a / 100
c = 100 * b
d = 100 - 25
e = d / 100
f = c * e
g = 100 + 15 
h = g / 100
i = f * h
Problem: d and e are two points respectively on sides ab and ac of triangle abc such that de is parallel to bc . if the ratio of area of triangle ade to that of the trapezium decb is 144 : 25 and de = 13 cm , then find the length of bc .
Options: a ) 5
b ) 13
c ) 14
d ) 11
e ) 15
Rationale: abc and ade are similar triangles . so ( side of abc / side of ade ) ^ 2 = 25 / 169 side of abc / side of ade = 5 / 13 so the length of bc = 5 answer - a
Answer: a
Python program:
a = 25 + 144 
b = 25 / a
c = math.sqrt(b)
d = c * 13
Problem: at a particular graduation party with 300 guests , 70 % of the guests brought gifts , and 40 % of the female guests brought gifts . if 15 males did not bring gifts to the party , how many females did bring gifts ?
Options: a ) 18 , b ) 28 , c ) 50 , d ) 68 , e ) 70
Rationale: the correct method total = 300 . . 70 % of 300 = 210 got gifts . . 90 did not get gift , out of which 15 are males , so remaining 90 - 15 = 75 are females . . but 40 % females brought gift , so 60 % did not get it . . so 60 % = 75 , 100 % = 75 * 100 / 60 = 125 . . ans 40 % of 125 = 50 c
Answer: c
Python program:
a = 70 * 300
b = a / 100
c = 300 - b
d = c - 15
e = d * 100
f = 100 - 40
g = e / f
h = g * 40
i = h / 100
Problem: how many positive integers less than 100 have a remainder of 11 when divided by 13 ?
Options: a ) 11 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Rationale: "we have to include 11 also . as 13 * 0 + 11 = 11 if somebody says to divide 11 by 13 , we will be telling we have 0 quotient and remainder as 11 . answer is a"
Answer: a
Python program:
a = 4 + 11 
b = a - 1
c = math.factorial(b)
d = math.factorial(11)
e = 4 - 1
f = math.factorial(e)
g = d * f
h = c / g
Problem: last year elaine spent 20 % of her annual earnings on rent . this year she earned 25 % more than last year and she spent 30 % of her annual earnings on rent . the amount she spent on rent this year is what percent of the amount spent on rent last year ?
Options: a ) 182.5 , b ) 184.5 , c ) 167.5 , d ) 172.5 , e ) 187.5
Rationale: "for this it is easiest to use simple numbers . let ' s assume that elaine ' s annual earnings last year were $ 100 . she would ' ve spent $ 20 of this on rent . this year she earned 25 % more , or $ 125 . she would ' ve spent 30 % of this on rent , or $ 37.5 do $ 37.5 / $ 20 this will give you 187.5 % e is the correct answer ."
Answer: e
Python program:
a = 25 / 100
b = a + 1 
c = b * 30
d = c / 20
e = d * 100
Problem: how much time does a train 150 metres long running at 90 km / hr take to pass a pole ?
Options: a ) 7.9 s , b ) 6 s , c ) 7.5 s , d ) 7.6 s , e ) 7.4 s
Rationale: "explanation : 90 km / hr = 90 * 5 / 18 = 25 m / s speed = distance / time ; v = d / t 25 = 150 / t t = 6 s answer : b"
Answer: b
Python program:
a = 150 / 1000
b = a / 90
c = b * 3600
Problem: a dog takes 4 leaps for every 5 leaps of a hare . if one leap of the dog is equal to 3 leaps of the hare , the ratio of the speed of the dog to that of the hare is :
Options: a ) 12 : 5 , b ) 4 : 3 , c ) 9 : 5 , d ) 9 : 1 , e ) 9 : 2
Rationale: "explanation : dog : hare = ( 4 * 3 ) leaps of hare : 5 leaps of hare = 12 : 5 . answer : a ) 12 : 5"
Answer: a
Python program:
a = 4 * 3
b = a / 5
Problem: if an article is sold at 19 % profit instead of 12 % profit , then the profit would be rs . 105 more . what is the cost price ?
Options: a ) 1890 , b ) 2790 , c ) 1990 , d ) 1500 , e ) 1701
Rationale: "let the cost price of an article be rs . x . ( 19 % of x ) - ( 12 % of x ) = 105 19 x / 100 - 12 x / 100 = 105 = > 7 x = 105 * 100 = > x = 1500 cost price = rs . 1500 answer : c"
Answer: c
Python program:
a = 105 / 12
b = a * 100
Problem: on the independence day , bananas were be equally distributed among the children in a school so that each child would get two bananas . on the particular day 130 children were absent and as a result each child got two extra bananas . find the actual number of children in the school ?
Options: a ) 260 , b ) 620 , c ) 500 , d ) 520 , e ) 720
Rationale: "let the number of children in the school be x . since each child gets 2 bananas , total number of bananas = 2 x . 2 x / ( x - 130 ) = 2 + 2 ( extra ) = > 2 x - 260 = x = > x = 260 . answer : a"
Answer: a
Python program:
a = 130 * 2
Problem: an intern wants to label folders with numbers using digit stickers only . if the intern uses 999 stickers , how many folders have been numbered ? ( the numbers of the folders are consecutive and the number of the first folder is 1 ) .
Options: a ) 287 , b ) 369 , c ) 370 , d ) 371 , e ) 430
Rationale: for the first 9 folders we need 9 stickers . for the next 90 we need 2 stickers each or 180 stickers . for the next 900 folders we need 3 stickers each . the first 99 folders correspond to 189 stickers . subtract 189 from the total number of stickers ( 999 ) . this leaves 810 stickers for folders that use 3 stickers each . so , divide 810 by 3 to get 270 folders . add 99 folders to 270 folders to get the total number of folders , 369 . answer : b
Answer: b
Python program:
a = 3 * 100
b = a + const_60 
c = 3 * 3
d = b + c