Cheukting/mathqa huggingface dataset:
Question (other): 100 people are attending a newspaper conference . 35 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 26 , c ) 28 , d ) 30 , e ) 32
Rationale: "{ total } = { writers } + { editors } - { both } + { neither } . { total } = 100 ; { writers } = 35 ; { editors } > 38 ; { both } = x ; { neither } = 2 x ; 100 = 35 + { editors } - x + 2 x - - > x = 65 - { editors } . we want to maximize x , thus we should minimize { editors } , minimum possible value of { editors } is 39 , thus x = { both } = 65 - 39 = 26 . answer : b ."
Answer: b
Question (general): there are 4 people of different heights standing in order of increasing height . the difference is 2 inches between the first person and the second person , and also between the second person and the third person . the difference between the third person and the fourth person is 6 inches and the average height is 78 . how tall is the fourth person ?
Options: a ) 82 , b ) 84 , c ) 86 , d ) 88 , e ) 90
Rationale: "let x be the height of the first person . then the heights are x , x + 2 , x + 4 , and x + 10 . 4 x + 16 = 4 ( 78 ) = 312 x = 74 and the fourth person has a height of 74 + 10 = 84 inches the answer is b ."
Answer: b
Question (general): if a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20 , what is the probability w that this product will be a multiple of 45 ?
Options: a ) 1 / 32 , b ) 1 / 28 , c ) 1 / 24 , d ) 1 / 16 , e ) 1 / 14
Rationale: "there are 3 single digit multiple of 3 , that is , 3 , 6,9 . there are 8 prime nos less than 20 - 2,3 , 5,7 , 11,13 , 17,19 total outcome - 8 * 3 = 24 favourable outcome = 1 ( 9 * 5 ) hence required probability w = 1 / 24 . answer c ."
Answer: c
Question (general): during a pizza buffet where a eats more times 1.8 than b , and b eats 8 times less than c . find the leat number of times all the 3 has to eat
Options: a ) 350 , b ) 260 , c ) 360 , d ) 380 , e ) 285
Rationale: a eats more than b if b eats 1 times than the ratio of a and b is a : b is 1.8 : 1 or 9 : 5 and as b eat 8 times less the c the the ratio of b : c is 5 : 40 the the least number of times all three has eat is the lcm of a , b , c that is 360 . . answer : c
Answer: c
Question (general): ashok secured average of 72 marks in 6 subjects . if the average of marks in 5 subjects is 74 , how many marks did he secure in the 6 th subject ?
Options: a ) 62 , b ) 74 , c ) 78 , d ) 80 , e ) none of these
Rationale: explanation : number of subjects = 6 average of marks in 6 subjects = 72 therefore total marks in 6 subjects = 72 * 6 = 432 now , no . of subjects = 5 total marks in 5 subjects = 74 * 5 = 370 therefore marks in 6 th subject = 432 – 370 = 62 answer a
Answer: a
Question (general): at a certain restaurant , the average ( arithmetic mean ) number of customers served for the past x days was 85 . if the restaurant serves 120 customers today , raising the average to 90 customers per day , what is the value of x ?
Options: a ) 2 , b ) 5 , c ) 6 , d ) 15 , e ) 30
Rationale: "withoutusing the formula , we can see that today the restaurant served 30 customers above the average . the total amount above the average must equal total amount below the average . this additional 30 customers must offset the “ deficit ” below the average of 90 created on the x days the restaurant served only 85 customers per day . 30 / 5 = 6 days . choice ( a ) . withthe formula , we can set up the following : 90 = ( 85 x + 120 ) / ( x + 1 ) 90 x + 90 = 85 x + 120 5 x = 30 x = 6 answer choice ( c )"
Answer: c
Question (gain): two boys starts from the same place walking at the rate of 5.5 kmph and 7.5 kmph respectively in the same direction . what time will they take to be 20 km apart ?
Options: a ) 10 , b ) 11 , c ) 14 , d ) 15 , e ) 20
Rationale: "explanation : relative speed = 7.5 - 5.5 = 2 kmph ( because they walk in the same direction ) distance = 20 km time = distance / speed = 20 / 2 = 10 hr answer : a"
Answer: a
Question (physics): a man can row 6 kmph in still water . when the river is running at 2 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ?
Options: a ) 5.32 , b ) 5.7 , c ) 5.76 , d ) 5.74 , e ) 5.71
Rationale: "m = 6 s = 2 ds = 8 us = 4 x / 8 + x / 4 = 1 x = 2.66 d = 2.66 * 2 = 5.32 answer : a"
Answer: a
Question (physics): if 8 workers can build 8 cars in 8 days , then how many days would it take 6 workers to build 6 cars ?
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 12
Rationale: "8 workers can build 1 car per day on average . 1 worker can build 1 / 8 of a car per day . 6 workers can build 6 / 8 car per day . the time required to build 6 cars is 6 / ( 6 / 8 ) = 8 days the answer is d ."
Answer: d
Question (other): if m = 3 ^ n , what is the greatest value of n for which m is a factor of 31 !
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16
Rationale: "solution - consider multiples of 25 ! = > 3,6 , 9,12 , 15,18 , 21,24 , 27,30 count no . of 3 in each multiple . 3 = 3 x 1 - > 1 6 = 3 x 2 - > 1 9 = 3 x 3 - > 2 12 = 3 x 4 - > 1 15 = 3 x 5 - > 1 18 = 3 x 3 x 2 - > 2 21 = 3 x 7 - > 1 24 = 3 x 8 - > 1 27 = 3 x 3 x 3 - > 3 30 = 3 x 10 - > 1 - - - - count 3 ' s = 14 so answer is 14 answer : d"
Answer: d
Question (physics): a person can swim in still water at 12 km / h . if the speed of water 10 km / h , how many hours will the man take to swim back against the current for 8 km ?
Options: a ) 4 , b ) 7 , c ) 5 , d ) 9 , e ) 6
Rationale: "m = 12 s = 10 us = 12 - 10 = 2 d = 8 t = 8 / 2 = 4 answer : a"
Answer: a
Question (physics): the moon revolves around the earth at a speed of approximately 0.2 kilometers per second . this approximate speed is how many kilometers per hour ?
Options: a ) 60 , b ) 720 , c ) 62.5 , d ) 3,600 , e ) 3,672
Rationale: "moon revolves around the earth at a speed of 1.02 kilometers per second . one hour equal to 60 minutes . one minute equals to 60 seconds . so one hour equals to 3600 seconds . so one hour , speed = 0.2 * 3600 = 720 kilometers per hour . option b is correct"
Answer: b
Question (physics): if 1.5 cm of a pencil is purple , 0.5 cm of the remaining is black and the remaining 2 cm is blue , what is the total length of the pencil ?
Options: a ) 5 cm , b ) 3 cm , c ) 1 cm , d ) 4 cm , e ) 2 cm
Rationale: purple is 1.5 cm black is 0.5 cm blue is 2 cm 1.5 + 0.5 + 2 = 4 cm answer is d ) 4 cm
Answer: d
Question (general): of the 130 employees at company x , 80 are full - time , and 100 have worked at company x for at least a year . there are 20 employees at company x who aren ’ t full - time and haven ’ t worked at company x for at least a year . how many full - time employees of company x have worked at the company for at least a year ?
Options: a ) 20 , b ) 30 , c ) 50 , d ) 80 , e ) 100
Rationale: full time employee who have not worked for at least one year = a full time employee who have worked for at least one year = b non full time employee who have worked for at least one year = c non full time employee who have not worked for at least one year = d a + b + c + d = 150 a + b = 80 i . e . c + d = 70 b + c = 100 i . e . a + d = 50 d = 20 i . e . c = 70 - 20 = 50 i . e . b = 100 - 50 = 50 i . e . a = 80 - 50 = 30 b = 30 answer : option b
Answer: b
Question (gain): what is the rate percent when the simple interest on rs . 810 amount to rs . 155 in 4 years ?
Options: a ) 4.78 , b ) 4.68 , c ) 4.58 , d ) 4.48 , e ) 4.38
Rationale: "155 = ( 810 * 4 * r ) / 100 r = 4.78 % answer : a"
Answer: a
Question (general): a pharmaceutical company received $ 4 million in royalties on the first $ 20 million in sales of the generic equivalent of one of its products and then $ 9 million in royalties on the next $ 108 million in sales . by approximately what percent did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales ?
Options: a ) 8 % , b ) 15 % , c ) 45 % , d ) 52 % , e ) 58 %
Rationale: "solution : this is a percent decrease problem . we will use the formula : percent change = ( new – old ) / old x 100 to calculate the final answer . we first set up the ratios of royalties to sales . the first ratio will be for the first 20 million in sales , and the second ratio will be for the next 108 million in sales . because all of the sales are in millions , we do not have to express all the trailing zeros in our ratios . first 20 million royalties / sales = 4 / 20 = 1 / 5 next 108 million royalties / sales = 9 / 108 = 1 / 12 because each ratio is not an easy number to use , we can simplify each one by multiplying each by the lcm of the two denominators , which is 60 . keep in mind that we are able to do this only because our answer choices are expressed in percents . first 20 million royalties / sales = ( 4 / 20 ) x 60 = 12 next 108 million royalties / sales = 9 / 108 = ( 1 / 12 ) x 60 = 5 we can plug 12 and 5 into our percent change formula : ( new – old ) / old x 100 [ ( 5 – 12 ) / 12 ] x 100 - 175 / 3 x 100 at this point we can stop and consider the answer choices . since we know that 175 / 3 is just a bit less than ½ , we know that - 175 / 3 x 100 is about a 58 % decrease . answer e ."
Answer: e
Question (general): a father said to his son , ` ` i was as old as you are at the present at the time of your birth ' ' . if the father ' s age is 52 years now , the son ' s age 5 years back was :
Options: a ) a ) 14 , b ) b ) 67 , c ) c ) 56 , d ) d ) 21 , e ) e ) 34
Rationale: let the son ' s present age be x years . then , ( 52 - x ) = x 2 x = 52 . x = 26 . son ' s age 5 years back ( 26 - 5 ) = 21 years . answer : d
Answer: d
Question (general): at a certain fruit stand , the price of each apple is 40 cents and the price of each orange is 60 cents . mary selects a total of 20 apples and oranges from the fruit stand , and the average ( arithmetic mean ) price of the 20 pieces of fruit is 56 cents . how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 52 cents ?
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Rationale: "let number of apples = a number of oranges = b a + b = 20 - - - 1 . 56 = ( . 4 a + . 6 b ) / 20 = > 56 = 4 a + 6 b - - - - 2 solving 1 and 2 , we get a = 4 b = 16 let the number of oranges put back = c 52 * ( 20 - c ) = 40 * 4 + 60 ( 16 - c ) = > c = 10 answer e"
Answer: e
Question (general): there are 20 cm , 21 cm , 22 cm , 23 cm , 24 cm , 25 cm rods of quantities 23 , 64 , 32 respectively . find average of this data .
Options: a ) 32.25 , b ) 21.45 , c ) 45 , d ) 22.45 , e ) 22
Rationale: average = ( 20 * 2 + 21 * 3 + 22 * 6 + 23 * 4 + 24 * 3 + 25 * 2 ) / 20 = 22.45 answer : d
Answer: d
Question (physics): a can finish a work in 18 days and b can do the same work in half the time taken by a . then , working together what part of the same work they can finish in a day ?
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 6 , d ) 2 / 5 , e ) 2 / 9
Rationale: 1 days work of a + b = ( 18 + 9 ) / 18 * 9 = 1 / 6 answer is c
Answer: c
Question (general): if n is a positive integer and n ^ 2 is divisible by 18 , then what is the largest positive integer that must divide n ?
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 9
Rationale: "18 = 2 * 3 ^ 2 if 18 divides n ^ 2 , then n must be divisible by 2 * 3 = 6 the answer is c ."
Answer: c
Question (general): an employee ’ s annual salary was increased $ 25000 . if her new annual salary now equals $ 90000 , what was the percent increase ?
Options: a ) 15 % , b ) 162 ⁄ 3 % , c ) 20 % , d ) 38.46 % , e ) 24 %
Rationale: new annual salary = $ 90,000 salary increase = $ 25,000 . original salary = $ 90,000 - $ 25,000 . = $ 75,000 % increase = ( $ 25,000 / $ 65,000 ) * 100 = 38.46 % hence d .
Answer: d
Question (other): in a class of 45 students , 12 enrolled for both english and german . 22 enrolled for german . if the students of the class enrolled for at least one of the two subjects , then how many students enrolled for only english and not german ?
Options: a ) 30 , b ) 10 , c ) 18 , d ) 23 , e ) 32
Rationale: "total = english + german - both + neither - - > 45 = english + 22 - 12 + 0 - - > english = 35 - - > only english = english - both = 35 - 12 = 23 . answer : d ."
Answer: d
Question (gain): mr . parkin invested in fund z and fund b . the total amount she invested , in both funds combined , was $ 100000 . in one year , fund z paid 23 % and fund b paid 17 % . the interest earned in fund b was exactly $ 200 greater than the interest earned in fund z . how much did ms . morris invest in fund z ?
Options: a ) $ 32000 , b ) $ 36000 , c ) $ 40000 , d ) $ 42000 , e ) $ 45000
Rationale: 0.17 b - 0.23 z = 200 | * 100 17 b - 23 z = 20000 z + b = 100000 b = 100000 - z 17 ( 100000 - z ) - 23 z = 20000 1 , 700000 - 17 z - 23 z = 20000 1 , 680000 = 40 z divide by 40 first two digits : 42 . . . so answer is d .
Answer: d
Question (physics): a train 100 meters long completely crosses a 300 meters long bridge in 36 seconds . what is the speed of the train is ?
Options: a ) 32 kmph , b ) 76 kmph , c ) 34 kmph , d ) 43 kmph , e ) 40 kmph
Rationale: "s = ( 100 + 300 ) / 36 = 400 / 36 * 18 / 5 = 40 answer : e"
Answer: e
Question (general): a school has 11 maths 8 physics and 5 chemistry teachers each teacher can teach 3 subjects max what is he minimum number of teachers required
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 9
Rationale: "total subjects = 11 + 8 + 5 = 24 max subjects by 1 teacher = 3 so , min of teachers required = 24 / 3 = 8 answer : d"
Answer: d
Question (physics): trapezoid jklm in the x - y plane has coordinates j = ( – 3 , – 4 ) , k = ( – 3 , 1 ) , l = ( 5 , 7 ) , and m = ( 5 , – 4 ) . what is its perimeter ?
Options: a ) 34 , b ) 36 , c ) 38 , d ) 40 , e ) ( f ) 42
Rationale: jk = 5 lm = 11 kl = using distance formula 10 jm = using distance formula 8 sum of all is 34 a
Answer: a
Question (general): | - 2 | ( | - 25 | - | 5 | ) = ? ? source : preparation material mba center
Options: a ) 40 , b ) – 60 , c ) 60 , d ) 75 , e ) 100
Rationale: absolute value will turn negatives into their positive ' equivalents ' , and will leave positives unchanged , so | - 2 | = 2 , | - 25 | = 25 , and | 5 | = 5 . getting rid of our absolute values we have : | - 2 | ( | - 25 | - | 5 | ) = ( 2 ) ( 25 - 5 ) = 2 * 20 = 40
Answer: a
Question (general): at a certain fruit stand , the price of each apple is 40 cents and the price of each orange is 60 cents . mary selects a total of 30 apples and oranges from the fruit stand , and the average ( arithmetic mean ) price of the 30 pieces of fruit is 56 cents . how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 52 cents ?
Options: a ) 10 , b ) 11 , c ) 13 , d ) 14 , e ) 15
Rationale: "let number of apples = a number of oranges = b a + b = 30 - - - 1 . 56 = ( . 4 a + . 6 b ) / 30 = > 56 = 4 a + 6 b - - - - 2 solving 1 and 2 , we get a = 6 b = 24 let the number of oranges put back = c 52 * ( 30 - c ) = 40 * 6 + 60 ( 24 - c ) = > c = 15 answer e"
Answer: e
Question (gain): a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 12 % while buying and by 30 % while selling . what is his percentage profit ?
Options: a ) 10.22 % , b ) 20.22 % , c ) 21.22 % , d ) 60 % , e ) ca n ' t be calculated
Rationale: "the owner buys 100 kg but actually gets 112 kg ; the owner sells 100 kg but actually gives 70 kg ; profit : ( 112 - 70 ) / 70 * 100 = ~ 60 % answer : d ."
Answer: d
Question (physics): a train covers a distance of 12 km in 16 min . if it takes 6 sec to pass a telegraph post , then the length of the train is ?
Options: a ) 80 , b ) 90 , c ) 60 , d ) 75 , e ) 85
Rationale: "speed = ( 12 / 16 * 60 ) km / hr = ( 45 * 5 / 18 ) m / sec = 12.5 m / sec . length of the train = 12.5 * 6 = 75 m . answer : d"
Answer: d
Question (gain): a statue is being carved by a sculptor . the original piece of marble weighed 180 kg . in the first week 28 percent is cut away . in the second week 18 percent of the remainder is cut away . in the third week the statue is completed when 20 percent of the remainder is cut away . what is the weight of the final statue ?
Options: a ) 105 kg , b ) 85 kg , c ) 108 kg , d ) 125 kg , e ) 117 kg
Rationale: "b 85 kg 180 ã — 0.72 ã — 0.82 ã — 0.8 = 85 kg ."
Answer: b
Question (other): there are 22 kids in a classroom . 12 kids are wearing socks and 8 are wearing shoes . 6 kids are wearing both . how many are bare feet ?
Options: a ) 10 , b ) 2 , c ) 4 , d ) 5 , e ) 8
Rationale: 12 kids wear socks 8 kids wear shoes 6 wear both . 12 â € “ 6 = 6 ( wear only socks ) 8 â € “ 6 = 2 ( wear only shoes ) 6 ( wear both ) hence , 22 - 14 = 8 8 kids are with bare feet . e
Answer: e
Question (physics): a and b together can do a piece of work in 6 days and a alone can do it in 13 days . in how many days can b alone can do it ?
Options: a ) 12 days , b ) 15 days , c ) 78 / 7 days , d ) 21 days , e ) 22 / 7 days
Rationale: "explanation : a and b can do work 1 / 6 in 1 day a alone can do 1 / 13 work in 1 day b alone can do ( 1 / 6 - 1 / 13 ) = 7 / 78 work in 1 day = > complete work can be done in 78 / 7 days by b answer : option c"
Answer: c
Question (other): a grocery store bought some mangoes at a rate of 5 for a dollar . they were separated into two stacks , one of which was sold at a rate of 5 for a dollar and the other at a rate of 5 for a dollar . what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes ?
Options: a ) 1 : 1 , b ) 1 : 5 , c ) 2 : 3 , d ) 1 : 2 , e ) 2 : 5
Rationale: "the cost price of a mango = 1 / 5 dollars . the selling price of a mango from the first stack = 1 / 3 dollars - - > the profit from one mango = 1 / 5 - 1 / 5 = 0 dollars . the selling price of a mango from the second stack = 1 / 5 dollars - - > the loss from one mango = 1 / 5 - 1 / 5 = 0 dollars . no profit as whole 1 : 1 answer : a ."
Answer: a
Question (other): what is the units digit of 26 ! + 50 ! + 4 ! + 4 ! ?
Options: a ) 8 , b ) 6 , c ) 4 , d ) 2 , e ) 0
Rationale: "let us first write down the factorials of different numbers : 1 ! = 1 2 ! = 2 3 ! = 6 4 ! = 24 5 ! = 120 6 ! = 720 and so on . if we notice here , all the numbers after 4 ! will end with a 0 . here is why : if we multiply any number by 10 , a 0 is added to that number and a 10 is formed by a 5 and a 2 , 10 = 5 * 2 till 4 ! , we do not have a ` ` 5 ' ' in multiplication . but after that , we will have atleast one ` ` 5 ' ' in the multiplication . coming back to the question , units digit of 26 ! + 50 ! + 4 ! + 4 ! = ? by the logic above , 26 ! and 50 ! will end in a ` ` 0 ' ' 4 ! will end in a 4 hence the units digit = 0 + 0 + 4 + 4 = 8 correct option : a"
Answer: a
Question (physics): the h . c . f of two numbers is 13 and their l . c . m is 2200 . if one of the numbers is 286 , then the other is ?
Options: a ) 85 , b ) 90 , c ) 95 , d ) 100 , e ) 105
Rationale: "other number = ( 13 * 2200 ) / 286 = 100 . answer : d"
Answer: d
Question (physics): the length of a side of a hexagon is 4 inches . what is the perimeter ?
Options: a ) 22
b ) 23
c ) 24
d ) 25
e ) 26
Rationale: hexagon . it means 6 equal sides . p = 6 ( 4 ) = 24 inches answer c
Answer: c
Question (general): for 2 consecutive yrs , my incomes are in the ratio of 4 : 7 and expenses in the ratio of 3 : 5 . if my income in the 2 nd yr is rs . 42000 & my expenses in the first yr in rs . 23000 , my total savings for the two - year is
Options: a ) s . 8000 , b ) s . 9000 , c ) s . 9900 , d ) s . 9990 , e ) s . 10000
Rationale: "sol . income in first year = * x 42000 = rs . 24000 expenses in second year = \ x 21000 = rs . 35000 total savings = total income - total expenses = ( 42000 + 24000 ) - ( 23000 + 35000 ) = 66000 - 58000 = rs . 8000 a"
Answer: a
Question (physics): how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 112 m length ?
Options: a ) 82.1 sec , b ) 12.1 sec , c ) 16.1 sec , d ) 11.1 sec , e ) 12.15 sec
Rationale: "speed = 72 * 5 / 18 = 20 m / sec total distance covered = 110 + 112 = 222 m . required time = 222 / 20 = 11.1 sec . answer : d"
Answer: d
Question (other): ketchup , mustard and mayo bottles at a hot dog stand are in the ratio of 3 : 3 : 2 . if there are 6 ketchup bottles , the number of mayo bottles at the hot dog stand is :
Options: a ) 12 , b ) 6 , c ) 3 , d ) 1 , e ) 4
Rationale: explanation : let ketchup = 3 x , mustard = 3 x & mayo = 2 x . now , 3 x = 6 hence x = 2 . number of mayo bottles = 2 x which is 4 . answer : e
Answer: e
Question (general): the average of first 10 odd numbers is ?
Options: a ) 22 , b ) 10 , c ) 98 , d ) 66 , e ) 88
Rationale: "sum of 10 odd no . = 100 average = 100 / 10 = 10 answer : b"
Answer: b
Question (gain): at a certain university , 65 % of the professors are women , and 70 % of the professors are tenured . if 90 % of the professors are women , tenured , or both , then what percent of the men are tenured ?
Options: a ) 25 , b ) 37.5 , c ) 50 , d ) 62.5 , e ) 75
Rationale: "total women = 65 % total men = 40 % total tenured = 70 % ( both men and women ) therefore , women tenured + women professors + men tenured = 90 % men tenured = 25 % but question wants to know the percent of men that are tenured 25 % / 40 % = 62.5 % d"
Answer: d
Question (physics): a can do a work in 15 days and b in 20 days . if they work on it together for 5 days , then the fraction of the work that is left is
Options: a ) 8 / 17 , b ) 7 / 15 , c ) 3 / 15 , d ) 5 / 12 , e ) 1 / 4
Rationale: "person ( a ) ( b ) ( a + b ) time - ( 15 ) ( 20 ) ( - ) rate - ( 20 ) ( 15 ) ( 35 ) work - ( 300 ) ( 300 ) ( 300 ) therefore a + b requires ( 300 / 35 ) days to complete entire work for 1 st 5 days they work 35 * 5 = 175 remaining work is 300 - 175 = 125 remaining fraction of work is = 125 / 300 = 5 / 12 answer d"
Answer: d
Question (gain): if $ 5,000 is invested in an account at a simple annual rate of r percent , the interest is $ 250 . when $ 16,000 is invested at the same interest rate , what is the interest from the investment ?
Options: a ) $ 700 , b ) $ 750 , c ) $ 850 , d ) $ 800 , e ) $ 900
Rationale: "- > 250 / 5,000 = 5 % and 16,000 * 5 % = 800 . thus , d is the answer ."
Answer: d
Question (other): of the 200 stamps in a collection , 90 are foreign and 80 are more than 10 years old . if 20 stamps are both foreign and more than 10 years old , how many stamps are neither foreign nor more than 10 years old ?
Options: a ) 50 , b ) 80 , c ) 100 , d ) 130 , e ) 150
Rationale: "20 stamps are both foreign and more than 10 years old . 70 stamps are foreign only . 60 stamps are 10 years old only . the number of remaining stamps is 200 - ( 20 + 70 + 60 ) = 50 the answer is a ."
Answer: a
Question (geometry): find the volume & curved surface area of a cylinder with diameter of base 14 cm and height 60 cm .
Options: a ) 260 cm 2
b ) 2610 cm 2
c ) 2600 cm 2
d ) 2640 cm 2
e ) 264 cm 2
Rationale: volume = pier 2 h = pie x 72 x 60 = 9240 cm 3 curved surface area = 2 pierh = ( 2 x 3.14 x 7 x 60 ) cm 2 = 2640 cm 2 answer : d
Answer: d
Question (physics): a car traveled 560 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city . if the car traveled 6 fewer miles per gallon in the city than on the highway , how many miles per gallon did the car travel in the city ?
Options: a ) 9 , b ) 16 , c ) 21 , d ) 22 , e ) 27
Rationale: "let the speed in highway be h mpg and in city be c mpg . h = c + 6 h miles are covered in 1 gallon 462 miles will be covered in 462 / h . similarly c miles are covered in 1 gallon 336 miles will be covered in 336 / c . both should be same ( as car ' s fuel capacity does not change with speed ) = > 336 / c = 560 / h = > 336 / c = 560 / ( c + 6 ) = > 336 c + 336 * 6 = 560 c = > c = 336 * 6 / 224 = 9 answer a ."
Answer: a
Question (physics): a hall 36 m long and 15 m broad is to be paved with stones , each measuring 2 dm by 5 dm . the number of stones required is :
Options: a ) 180
b ) 1800
c ) 5400
d ) 18000
e ) 1.8
Rationale: area of the hall = 3600 * 1500 area of each stone = ( 20 * 50 ) therefore , number of stones = ( 3600 * 1500 / 20 * 50 ) = 5400 answer : c
Answer: c