niryuu/sni-each-converted huggingface dataset:
Problem: 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
Output: c
Problem: 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
Output: c
Problem: 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
Output: a
Problem: 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
Output: c
Problem: 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
Output: a
Problem: 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
Output: a
Problem: 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
Output: d
Problem: 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
Output: d
Problem: 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
Output: a
Problem: 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
Output: b
Problem: 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
Output: d
Problem: 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
Output: b
Problem: 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
Output: a
Problem: 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 %
Output: e
Problem: 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
Output: d
Problem: 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
Output: e
Problem: 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
Output: d
Problem: 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
Output: c
Problem: 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
Output: c
Problem: 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 %
Output: d
Problem: 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
Output: d
Problem: 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
Output: d
Problem: 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
Output: e
Problem: 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
Output: d
Problem: 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
Output: a
Problem: | - 2 | ( | - 25 | - | 5 | ) = ? ? source: preparation material mba center
Options: a. 40, b. – 60, c. 60, d. 75, e. 100
Output: a
Problem: 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
Output: e
Problem: 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
Output: d
Problem: 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
Output: d
Problem: 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
Output: b
Problem: 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
Output: e
Problem: 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
Output: c
Problem: 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
Output: a
Problem: what is the units digit of 26 ! + 50 ! + 4 ! + 4 ! ?
Options: a. 8, b. 6, c. 4, d. 2, e. 0
Output: a
Problem: 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
Output: d
Problem: 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']
Output: c
Problem: 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
Output: a
Problem: 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
Output: d
Problem: 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
Output: e
Problem: the average of first 10 odd numbers is ?
Options: a. 22, b. 10, c. 98, d. 66, e. 88
Output: b
Problem: 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
Output: d
Problem: 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
Output: d
Problem: 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
Output: d
Problem: 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
Output: a
Problem: 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']
Output: d
Problem: 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
Output: a
Problem: 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']
Output: c
Problem: by selling an article at rs. 900, a shopkeeper makes a profit of 25 %. at what price should he sell the article so as to make a loss of 25 % ?
Options: a. s. 600, b. s. 480, c. s. 500, d. s. 540, e. s. 550
Output: d
Problem: a train 220 meters long is running with a speed of 60 kmph. in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?
Options: a. 5, b. 6, c. 7, d. 12, e. 9
Output: d
Problem: assume that f ( 1 ) = 0 and f ( m + n ) = f ( m ) + f ( n ) + 4 ( 9 mn - 1 ). for all natural numbers ( integers > 0 ) m and n. what is the value of f ( 17 ) ?
Options: a. 4832, b. 4855, c. 4825, d. 4895, e. 4862
Output: a
Problem: allay ' s internet provider offers unlimited traffic which costs $ 0.5 per day charged off at 12 a. m. the service is discontinued when client ' s debt exceeds $ 5. if today in the morning allay makes a payment of $ 7, for how many days, including today, will she be connected to the internet without any additional payments, given her initial balance was $ 0 ?
Options: a. 15, b. 24, c. 25, d. 26, e. 13
Output: c
Problem: the smallest value of n, for which n + 3 is not a prime number, is
Options: a. 1, b. 2, c. 6, d. 8, e. 3
Output: e
Problem: a man swims downstream 72 km and upstream 45 km taking 6 hours each time; what is the speed of the current ?
Options: a. 2.28, b. 2.24, c. 2.27, d. 2.25, e. 2.23
Output: d
Problem: if ( 2 ^ 16 ) ( 25 ^ s ) = 5 ( 10 ^ m ) what is the value of m ?
Options: a. 7, b. 8, c. 15, d. 16, e. 23
Output: d
Problem: 90 + 5 * 12 / ( 180 / 3 ) = ?
Options: a. 23, b. 78, c. 27, d. 91, e. 81
Output: d
Problem: if 5 % more is gained by selling an article for rs. 350 than by selling it for rs. 340, the cost of the article is
Options: a. 289, b. 231, c. 200, d. 288, e. 111
Output: c
Problem: a can finish a work in 20 days, b in 15 days and c in 12 days. b and c start the work but are forced to leave after 2 days. the remaining work was done by a in :
Options: a. 10, b. 11, c. 12, d. 13, e. 14
Output: e
Problem: when positive integer n is divided by positive integer j, the remainder is 8. if n / j = 150.25, what is value of j ?
Options: a. 16, b. 26, c. 32, d. 132, e. 20
Output: c
Problem: a welder received an order to make a 1 million liter cube - shaped tank. if he has only 2 x 3 meter sheets of metal that can be cut, how many metal sheets will be required for this order ? ( 1 cubic meter = 1000 liters )
Options: a. 92, b. 90, c. 82, d. 78, e. 100
Output: e
Problem: if 18 persons can build a wall 140 m long in 42 days, the number of days that 30 persons will take to complete a similar wall 100 m long, is.
Options: a. 18, b. 21, c. 24, d. 28, e. 30
Output: a
Problem: when x is multiplied by 3, the result is 10 more than the result of subtracting x from 26. what is the value of x ?
Options: a. - 4, b. 9, c. 11, d. 13, e. 22
Output: b
Problem: if the l. c. m of two numbers is 560 and their product is 42000, find the h. c. f of the numbers.
Options: a. 50, b. 30, c. 75, d. 25, e. none of these
Output: c
Problem: 1,000 ^ 2 + 1,001 ^ 2 + 1,002 ^ 2 + 1,003 ^ 2 + 1,004 ^ 2 =
Options: a. 6, 030,053, b. 6, 030,054, c. 6, 030,055, d. 6, 020,030, e. 6, 030,057
Output: d
Problem: in a room filled with 6 people, all 6 people have exactly 1 sibling in the room. if two individuals are selected from the room at random, what is the probability that those two individuals are not siblings ?
Options: a. 3 / 5, b. 4 / 5, c. 5 / 6, d. 5 / 12, e. 7 / 12
Output: b
Problem: find the least number of complete years in which a sum of money put out at 50 % compound interest will be more than double of itself ?
Options: a. 2, b. 3, c. 4, d. 5, e. 6
Output: a
Problem: excluding stoppages, the average speed of a bus is 60 km / hr and including stoppages, the average speed of the bus is 40 km / hr. for how many minutes does the bus stop per hour ?
Options: a. 18 min, b. 17 min, c. 19 min, d. 20 min, e. 21 min
Output: d
Problem: in an office, 50 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. if 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service ?
Options: a. 8, b. 64, c. 50, d. 144, e. 160
Output: a
Problem: a certain roller coaster has 6 cars, and a passenger is equally likely to ride in any 1 of the 6 cars each time that passenger rides the roller coaster. if a certain passenger is to ride the roller coaster 6 times, what is the probability that the passenger will ride in each of the 6 cars ?
Options: a. 3 / 1944, b. 1 / 96, c. 2 / 96, d. 1 / 1944, e. 1
Output: a
Problem: bruce and anne can clean their house in 4 hours working together at their respective constant rates. if anne ’ s speed were doubled, they could clean their house in 3 hours working at their respective rates. how many d hours does it currently take anne to clean the house on her own ?
Options: a. 6, b. 7, c. 8, d. 12, e. 14
Output: d
Problem: the average of runs of a cricket player of 20 innings was 32. how many runs must he make in his next innings so as to increase his average of runs by 8 ?
Options: a. 96, b. 200, c. 128, d. 116, e. 122
Output: b
Problem: a 9 meter long wire is cut into two pieces. if the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?
Options: a. 1 / 6, b. 1 / 5, c. 2 / 9, d. 1 / 3, e. 2 / 5
Output: c
Problem: a is two years older than b who is twice as old as c. if the total of the ages of a, b and c be 17, the how old is b ? a. 7 b. 8 c. 9 d. 10 explanation :
Options: a. 6, b. 7, c. 9, d. 10, e. 11
Output: a
Problem: two pipes can fill a tank in 12 minutes and 20 minutes respectively. both pipes are opened together and after some time the first pipe is closed and the tank is full in totally 10 minutes. for how many minutes was first pipe open ?
Options: a. 8 minutes, b. 6 minutes, c. 7 minutes, d. 10 minutes, e. 9 minutes
Output: b
Problem: what is the area inscribed by the lines y = 6, x = 3, y = 2 x - 4 on an xy - coordinate plane ?
Options: a. a. 1, b. b. 2, c. c. 4, d. d. 8, e. e. 16
Output: c
Problem: the ratio of males to females in a class is 2: 3. the career preferences of the students in the class are represented in a circle graph. if the area of the graph allocated to each career preference is 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 - fourth of the males and three - fourths of the females in the class ?
Options: a. 186, b. 192, c. 198, d. 204, e. 210
Output: c
Problem: the average of 50 numbers id 20. if two numbers, namely 45 and 55 are discarded, the average of the remaining numbers is :
Options: a. 22.75, b. 33.25, c. 22.25, d. 11.75, e. 18.75
Output: e
Problem: the area of a triangle is with base 10 m and height 10 m ?
Options: a. 11, b. 10, c. 50, d. 122, e. 12
Output: c
Problem: in what time will a railway train 40 m long moving at the rate of 36 kmph pass a telegraph post on its way ?
Options: a. 3 sec, b. 4 sec, c. 5 sec, d. 6 sec, e. 7 sec
Output: b
Problem: find remainder if ( 67 ^ 67 + 67 ) is divided by 68
Options: a. 60, b. 62, c. 66, d. 72, e. 78
Output: c
Problem: last year a worker saved 6 % of her annual salary. this year, she made 20 % more money than last year and she saved 5 % of her salary. the amount she saved this year was what percent of the amount she saved last year ?
Options: a. 90 %, b. 100 %, c. 110 %, d. 120 %, e. 130 %
Output: b
Problem: a walks at 10 kmph and 4 hours after his start, b cycles after him at 20 kmph. how far from the start does b catch up with a ?
Options: a. 100 km, b. 150 km, c. 80 km, d. 120 km, e. 200 km
Output: c
Problem: a and b can do a piece of work in 10 days and 10 days respectively. they work together for 10 days and b leaves. in how many days the whole work is completed ?
Options: a. 30 days, b. 40 days, c. 50 days, d. 60 days, e. 70 days
Output: a
Problem: one hour before john started walking from p to q, a distance of 33 miles, ann had started walking along the same road from q to p. ann walked at a constant speed of 3 miles per hour and john at 2 miles per hour. how many miles had ann walked when they met ?
Options: a. 6 miles, b. 8,4 miles, c. 9 miles, d. 9,6 miles, e. 21 miles
Output: e
Problem: kim finds a 2 - meter tree branch and marks it off in thirds and fifths. she then breaks the branch along all the markings and removes one piece of every distinct length. what fraction of the original branch remains ?
Options: a. 3 / 5, b. 2 / 5, c. 7 / 5, d. 1 / 2, e. 8 / 15
Output: a
Problem: two tests had the same maximum mark. the pass percentages in the first and the second test were 40 % and 45 % respectively. a candidate scored 216 marks in the second test and failed by 36 marks in that test. find the pass mark in the first test ?
Options: a. 277, b. 266, c. 111, d. 121, e. 224
Output: e
Problem: a man can swim in still water at 12 km / h, but takes twice as long to swim upstream than downstream. the speed of the stream is ?
Options: a. 1.7, b. 2.67, c. 1.2, d. 1.5, e. 4
Output: e
Problem: nitin ranks 24 th in a class of 58 students. what is rank from the last ?
Options: a. 33, b. 34, c. 32, d. 28, e. 19
Output: b
Problem: a certain meter records voltage between 0 and 10 volts inclusive. if the average value of 3 recordings on the meter was 4 volts, what was the smallest possible recording in volts ?
Options: a. 2, b. 3, c. 4, d. 5, e. 6
Output: a
Problem: 5 drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 12 days. how many additional pipes q, each draining water at the same constant rate, will be needed to drain the pool in 4 days ?
Options: a. 6, b. 9, c. 10, d. 12, e. 15
Output: c
Problem: set a { 3, 3,3, 4,5, 5,5 } has a standard deviation of 1. what will the standard deviation be if every number in the set is multiplied by 3 ?
Options: a. a. 1, b. b. 2, c. c. 4, d. d. 3, e. e. 16
Output: d
Problem: a dress on sale in a shop is marked at $ d. during the discount sale its price is reduced by 45 %. staff are allowed a further 40 % reduction on the discounted price. if a staff member buys the dress what will she have to pay in terms of d ?
Options: a. 0.35 d, b. 0.76 d, c. 0.65 d, d. 0.77 d, e. 0.33 d
Output: e
Problem: convert 300 miles into km ?
Options: a. 360 km, b. 480 km, c. 510 km, d. 320 km, e. 500 km
Output: b
Problem: difference of 2 numbers is 100. if 5 % of one number is 10 % of the other number, find the addition of 2 numbers ?
Options: a. 150, b. 300, c. 210, d. 290, e. 180
Output: b
Problem: in a room with 6 people, 4 people have exactly 1 friend in the room and 3 people have exactly 2 friends in the room ( assuming that friendship is a mutual relationship, i. e. if jane is paul ' s friend, paul is jane ' s friend.. if two individuals are selected from the room at random, what is the probability that those two individuals are not friends ?
Options: a. 5 / 21, b. 3 / 7, c. 4 / 7, d. 5 / 7, e. 16 / 15
Output: e
Problem: the average weight of 4 person ' s increases by 8.5 kg when a new person comes in place of one of them weighing 95 kg. what might be the weight of the new person ?
Options: a. 129 kg, b. 134 kg, c. 180 kg, d. 185 kg, e. 190 kg
Output: a
Problem: the s. i. on a certain sum of money for 2 years at 8 % per annum is half the c. i. on rs. 4000 for 2 years at 10 % per annum. the sum placed on s. i. is ?
Options: a. 2197, b. 1267, c. 1750, d. 2267, e. 2625
Output: e
Problem: two trains 120 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time which they take to cross each other is ?
Options: a. 10.9, b. 10.7, c. 10.3, d. 10.08, e. 10.2
Output: d
Problem: a, b and c start a business each investing 20,000. after 6 months a withdrew 5000, b withdrew 4000 and c invests 6000 more. at the end of the year, a total profit of 67,600 was recorded. find the share of b.
Options: a. 20,000, b. 21,200, c. 21,600, d. 20,500, e. none of these
Output: c
Problem: in the first 20 overs of a cricket game, the run rate was only 4.6. what should be the run rate in the remaining 30 overs to reach the target of 396 runs ?
Options: a. 10.13, b. 9.13, c. 8.13, d. 11.13, e. 13.13
Output: a
Problem: a club wants to mix 10 pounds of candy worth $ 8.00 per pound with candy worth $ 5.00 per pound to reduce the cost of the mixture to $ 6.00 per pound. how many pounds of the $ 5.00 per pound candy should be used ?
Options: a. 20, b. 30, c. 40, d. 50, e. 60
Output: a
Problem: a ferry can transport 50 tons of vehicles. automobiles range in weight from 1,800 to 3,200 pounds. what is the greatest number of automobiles that can be loaded onto the ferry ?
Options: a. 23, b. 55, c. 48, d. 62, e. 70
Output: b
Problem: if the annual increase in the population of a town is 10 % and the present number of people is 15000, what will the population be in 2 years ?
Options: a. 12100, b. 15240, c. 18150, d. 18452, e. 19002
Output: c
Problem: a plant manager must assign 8 new workers to one of five shifts. she needs a first, second, and third shift, and two alternate shifts. each of the shifts will receive 2 new workers. how many different ways can she assign the new workers ?
Options: a. 243, b. 336, c. 350, d. 486, e. 540
Output: b
Problem: 1 = 62 = 363 = 3634 = 3645 = 365, then 36 = ?
Options: a. 1, b. 2, c. 345, d. 445, e. 235
Output: b
Problem: a and b can do a piece of work in 7 days. with the help of c they finish the work in 5 days. c alone can do that piece of work in ?
Options: a. 33 days, b. 77 days, c. 30 days, d. 17 days, e. 18 days
Output: c
Problem: convert the 13 / 36 m / s into kilometers per hour ?
Options: a. 2.9, b. 2.2, c. 1.3, d. 1.2, e. 1.8
Output: c
Problem: a man has some hens and cows. if the number of heads be 100 and the number of feet equals 240, then the number of cows will be :
Options: a. 22, b. 23, c. 24, d. 20, e. 28
Output: d
Problem: find large number from below question the difference of two numbers is 1000. on dividing the larger number by the smaller, we get 10 as quotient and the 10 as remainder
Options: a. 1234, b. 1110, c. 1456, d. 1200, e. 1600
Output: b
Problem: the average height of 30 girls out of a class of 40 is 160 cm. and that of the remaining girls is 156 cm. the average height of the whole class is :
Options: a. 158 cms, b. 158.5 cms, c. 159 cms, d. 159.5 cms, e. none
Output: c
Problem: what is the units digit of 16 ^ 83 × 13 ^ 82 × 11 ^ 87 ?
Options: a. 4, b. 5, c. 6, d. 7, e. 8
Output: c
Problem: a man owns 1 / 3 of market reserch beauro buzness, and sells 3 / 5 of his shares for 15000 rs, what is the value of buzness ?
Options: a. 55000, b. 75000, c. 65000, d. 190000, e. 250000
Output: b
Problem: jaylen was planning to save all summer for a pair of jordan 12 s. they cost $ 250. jaylen figured that he could cut grass to help with the cost of the sneakers. how many yards would jaylen have to cut if he charges $ 2.15 per yard ?
Options: a. 116 yards, b. 226 yards, c. 97 yards, d. 115.74 yards, e. 1 yard
Output: d
Problem: what is the total number of integers between 200 and 500 that are divisible by 25 ?
Options: a. 20, b. 25, c. 14, d. 15, e. 18
Output: d
Problem: at the end of the month, a certain ocean desalination plant ’ s reservoir contained 30 million gallons of water. this amount is twice the normal level. if this amount represents 75 % of the reservoir ’ s total capacity, how many million gallons short of total capacity is the normal level ?
Options: a. 10, b. 15, c. 20, d. 25, e. 30
Output: c
Problem: matt gets a $ 1000 commission on a big sale. this commission alone raises his average commission by $ 150. if matt ' s new average commission is $ 250, how many sales has matt made ?
Options: a. 3, b. 4, c. 5, d. 6, e. 7
Output: d
Problem: the present worth of $ 169 due in 2 years at 4 % per annum compound interest is ?
Options: a. $ 145.89, b. $ 138.62, c. $ 156.25, d. $ 160.23, e. $ 158.95
Output: c
Problem: an urn contains 10 black and 5 white balls. two balls are drawn from the urn one after the other without replacement. what is the probability that both drawn balls are black ?
Options: a. 1 / 5, b. 3 / 7, c. 2 / 5, d. 3 / 5, e. 2 / 7
Output: b
Problem: by selling 11 pencils for a rupee a man loses 10 %. how many for a rupee should he sell in order to gain 20 % ?
Options: a. 8.25, b. 9.25, c. 7.25, d. 10.25, e. 3.25
Output: a
Problem: in the first 10 overs of a cricket game, the run rate was only 4.2. what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?
Options: a. 6.25, b. 6.5, c. 6.75, d. 7, e. 6
Output: e
Problem: average between two sets of numbers is closer to the set withmore numbers ?
Options: a. 60, b. 80, c. 98, d. 89, e. 91
Output: b
Problem: crazy eddie has a key chain factory. eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price, and thus increased the profit from the sale of each key chain from 50 % of the selling price to 50 % of the selling price. if the manufacturing cost is now $ 50, what was it before the decrease ?
Options: a. $ 20, b. $ 40, c. $ 50, d. $ 80, e. $ 100
Output: c
Problem: if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs. 2240 less than the principal. what was the principal ?
Options: a. 1500, b. 2500, c. 2507, d. 2800, e. 11500
Output: d
Problem: a jeep takes 9 hours to cover a distance of 480 km. how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?
Options: a. 48 kmph, b. 52 kmph, c. 35 kmph, d. 63 kmph, e. 65 kmph
Output: c
Problem: what is the tens digit of 6 ^ 22 ?
Options: a. 1, b. 3, c. 5, d. 7, e. 9
Output: b
Problem: in one hour, a boat goes 7 km along the steram and 5 km against the stream. the speed of the boat in still waer ( in km / hr ) is :
Options: a. 2, b. 4, c. 6, d. 12, e. 15
Output: c
Problem: a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 36 sec. what is the length of the platform ?
Options: a. 389 m, b. 350 m, c. 289 m, d. 299 m, e. 25 m
Output: e
Problem: a certain sum of money is divided among a, b and c such that a gets one - third of what b and c together get and b gets two - seventh of what a and c together get. if the amount received by a is $ 15 more than that received by b, find the total amount shared by a, b and c.
Options: a. $ 250, b. $ 340, c. $ 640, d. $ 440, e. $ 540
Output: e
Problem: the distance between a & b is 1540 km. a person is traveling from a to b at 100 km / hr started at 6 am and another person is traveling from b to a at 120 km / hr and started at same time. then at what time they meet together.
Options: a. 11 am, b. 1 pm, c. 3 pm, d. 10 am, e. 9 am
Output: b
Problem: williams works at a resort from the beginning of march to the end of september. during the month of august this past year, he made 8 times the average ( arithmetic mean ) of his monthly totals in tips for the other months. his total tips for august were what fraction of his total tips for all of the months he worked ?
Options: a. 3 / 7, b. 5 / 7, c. 6 / 7, d. 1 / 7, e. 4 / 7
Output: e
Problem: ajay can ride 50 km in 1 hour. in how many hours he can ride 1000 km ?
Options: a. 10 hrs, b. 15 hrs, c. 20 hrs, d. 25 hrs, e. 18 hrs
Output: c
Problem: 0.0008 ? = 0.02
Options: a. 40, b. 4, c. 0.4, d. none of these, e. 0.04
Output: e
Problem: if each edge of cube increased by 50 %, the percentage increase in
Options: a. 100, b. 114, c. 115, d. 125, e. 105
Output: d
Problem: a car started running at a speed of 30 km / hr and the speed of the car was increased by 2 km / hr at the end of every hour. find the total distance covered by the car in the first 11 hours of the journey.
Options: a. 342 km, b. 352 km, c. 642 km, d. 440 km, e. 382 km
Output: d
Problem: a ' s speed is 20 / 13 times that of b. if a and b run a race, what part of the length of the race should a give b as a head start, so that b beats a by 80 % of the length of the race ?
Options: a. 44 %, b. 48 %, c. 52 %, d. 42 %, e. 87 %
Output: e
Problem: marginal cost is the cost of increasing the quantity produced ( or purchased. by one unit. if the fixed cost for n products is $ 12,000 and the marginal cost is $ 200, and the total cost is $ 16,000, what is the value of n ?
Options: a. 20, b. 50, c. 60, d. 80, e. 100
Output: a
Problem: the mark up between ` ` normal plan ' ' price and ` ` premium plan ' ' price is 30 percent of the ` ` normal plan ' ' price. the markup is what percent of the ` ` premium plan ' ' price ? ( markup = difference between normal and premium price plans )
Options: a. 8 %, b. 20 %, c. 33 1 / 3 %, d. 45 %, e. 56 2 / 3 %
Output: c
Problem: 90 students represent x percent of the boys at jones elementary school. if the boys at jones elementary make up 50 % of the total school population of x students, what is x ?
Options: a. 134, b. 150, c. 225, d. 250, e. 500
Output: a
Problem: paul ' s income is 40 % less than rex ' s income, quentin ' s income is 20 % less than paul ' s income, and sam ' s income is 40 % less than paul ' s income. if rex gave 60 % of his income to sam and 40 % of his income to quentin, quentin ' s new income would be what fraction of sam ' s new income ?
Options: a. 11 / 12, b. 13 / 17, c. 13 / 19, d. 12 / 19, e. 11 / 19
Output: a
Problem: the average salary of all the workers in a workshop is rs. 8000. the average salary of 8 technicians is rs. 12000 and the average salary of the rest is rs. 6000. the total number of workers in the workshop is :
Options: a. 22, b. 21, c. 88, d. 37, e. 24
Output: e
Problem: what is the sum of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 7 ?
Options: a. 70,592, b. 64,850, c. 64,749, d. 149,700, e. 156,720
Output: a
Problem: a tyre has two punctures. the first puncture alone would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. if air leaks out at a constant rate, how long does it take both the punctures together to make it flat ?
Options: a. 315 min, b. 325 min, c. 335 min, d. 345 min, e. none of these
Output: c
Problem: a sum of money is distributed among a, b, c, d in the proportion of 5: 2: 4: 3. if c gets $ 1000 more than d, what is the b ' s share ?
Options: a. $ 1000, b. $ 2000, c. $ 2500, d. $ 2850, e. $ 2950
Output: b
Problem: alex takes a loan of $ 6,000 to buy a used truck at the rate of 8 % simple interest. calculate the annual interest to be paid for the loan amount.
Options: a. 680, b. 700, c. 720, d. 480, e. 420
Output: d
Problem: during a certain two - week period, 60 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 3 times as many dramas as action movies. if no other movies were rented during that two - week period and there were a action movies rented, then how many comedies, in terms of a, were rented during that two - week period ?
Options: a. 5 a, b. 6 a, c. 8 a, d. 14 a, e. 20 a
Output: b
Problem: if 15 % of a is the same as 40 % of b, then a: b is :
Options: a. 5: 4, b. 8: 3, c. 7: 16, d. 2: 17, e. 3: 5
Output: b
Problem: after successive discounts of 20 %, 10 % and 5 % a certain good is sold for rs. 6500. find the actual price of the good.
Options: a. s. 6000, b. s. 9000, c. s. 10800, d. s. 9503, e. s. 9980
Output: d
Problem: if a man walks at a rate of 10 kmph, he misses a train by 14 minutes. however, if he walks at the rate of 12 kmph, he reaches the station 10 minutes before the arrival of the train. find the distance covered by him to reach the station.
Options: a. 6, b. 15, c. 12, d. 4, e. 8
Output: a
Problem: of 32 applicants for a job, 14 had at least 4 years ' experience, 18 had degrees, and 7 had less than 4 years ' experience and did not have a degree. how many of the applicants had at least 4 years ' experience and a degree ?
Options: a. 14, b. 13, c. 9, d. 7, e. 5
Output: d
Problem: a box contains 10 tablets of medicine a and 10 tablets of medicine b. what is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.
Options: a. 12, b. 15, c. 17, d. 19, e. 21
Output: a
Problem: express a speed of 63 kmph in meters per second ?
Options: a. 10 mps, b. 14 mps, c. 17.5 mps, d. 19.4 mps, e. 10.8 mps
Output: c
Problem: if w / x = 2 / 3 and w / y = 3 / 5, then ( x + y ) / y =
Options: a. 4 / 5, b. 9 / 10, c. 7 / 5, d. 8 / 5, e. 9 / 5
Output: b
Problem: what least number must be subtracted from 42739 so that remaining no. is divisible by 15
Options: a. 3, b. 4, c. 6, d. 8, e. 9
Output: b
Problem: 18 business executives and 7 chairmen meet at a conference. if each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place ?
Options: a. 144, b. 131, c. 279, d. 90, e. 45
Output: c
Problem: for each color copy, print shop x charges $ 1.25 and print shop y charges $ 2.75. how much greater is the charge for 40 color copies at print shop y than at print shop x ?
Options: a. $ 48, b. $ 54, c. $ 60, d. $ 66, e. $ 72
Output: c
Problem: the probability of two events a and b are 0.20 and 0.40 respectively. the probability that both a and b occur is 0.15. the probability that neither a nor b occur is _________
Options: a. 0.45, b. 0.4, c. 0.5, d. 0.55, e. 0.6
Output: d
Problem: of the diplomats who attended a summit conference: 20 spoke japanese, 32 did not speak russian and 20 % of the diplomats spoke neither japanese nor russian. if 10 % of the diplomats spoke both japanese and russian, then how many diplomats attended the conference ?
Options: a. 70, b. 96, c. 108, d. 120, e. 150
Output: d
Problem: if n = 2.0423 and n * is the decimal obtained by rounding n to the nearest hundredth, what is the value of n * – n ?
Options: a. - 0.0053, b. - 0.0023, c. 0.0007, d. 0.0047, e. 0.0153
Output: b
Problem: carl can wash all the windows of his house in 6 hours. his wife maggie can wash all the windows in 6 hours. how many hours will it take for both of them working together to wash all the windows ?
Options: a. 2, b. 2 1 / 4, c. 3, d. 4 1 / 2, e. 5
Output: c
Problem: car x began traveling at an average speed of 35 miles per hour. after 72 minutes, car y began traveling at an average speed of 49 miles per hour. when both cars had traveled the same distance, both cars stopped. how many miles did car x travel from the time car y began traveling until both cars stopped ?
Options: a. 105, b. 120, c. 140, d. 147, e. 168
Output: a
Problem: in a restaurant, the profit is 160 % of the cost. if the cost increases by 12 % but the selling price remains constant, approximately what percentage of the selling price is the profit ?
Options: a. 30 %, b. 57 %, c. 90 %, d. 100 %, e. none of these
Output: b
Problem: a train 250 m long is running at a speed of 45 km / hr. in what time will it pass a bridge 150 m long ?
Options: a. 45 sec, b. 42 sec, c. 32 sec, d. 48 sec, e. 25 sec
Output: c
Problem: a can complete the job in 5 hours and b can complete the same job in 3 hours. a works for 1 hour and then b joins and both complete the job. what fraction of the job did b complete
Options: a. 1 / 8, b. 3 / 10, c. 1 / 2, d. 5 / 6, e. 8 / 9
Output: a
Problem: in a certain deck of cards, each card has a positive integer written on it, in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer. if the each possible product is between 35 and 200, then the least and greatest integer on the card would be
Options: a. 3 and 15, b. 3 and 20, c. 4 and 13, d. 4 and 14, e. 5 and 14
Output: e
Problem: 25 * 25 * 25 * 25 * 25 = 5 ^ ?
Options: a. 4, b. 6, c. 5, d. 3, e. 10
Output: e
Problem: what quantity of water should taken out to concentrate 21 liters of 40 % acidic liquid to 60 % acidic liquid ?
Options: a. 5 liters, b. 10 liters, c. 7 liters, d. 8 liters, e. 6 liters
Output: c
Problem: a and b together can do a work in 6 days. if a alone can do it in 10 days. in how many days can b alone do it ?
Options: a. 10, b. 15, c. 77, d. 55, e. 21
Output: b
Problem: sam and nik start from a and b respectively at the same time and travel towards each other at constant speeds along the same route. sam meets nik at point c on the road which is 600 m away from starting point a and 400 m away from point b. the speed of sam is 50 m / m ( meter / minute.. how much time did sam take to cover the distance between a and b ?
Options: a. 10 minutes, b. 15 minutes, c. 20 minutes, d. 22 minutes, e. 17 minutes
Output: c
Problem: subtract. simplify your answer and write it as a proper fraction or as a whole or mixed number. 4 / 5 - 1 / 5 =
Options: a. 1 / 5, b. 2 / 5, c. 3 / 5, d. 4 / 5, e. 5 / 5
Output: c
Problem: ratio between two numbers is 3: 4 and their sum is 420. find the smaller number ?
Options: a. 378, b. 180, c. 820, d. 734, e. 840
Output: b
Problem: q and r are two - digit positive integers that have the same digits but in reverse order. if the positive difference between q and r is less than 30, what is the greatest possible value of q minus r ?
Options: a. 23, b. 24, c. 25, d. 26, e. 27
Output: e
Problem: what is the square root of 121 ?
Options: a. 11, b. 12, c. 16, d. 18, e. 25
Output: a
Problem: if equation | x / 5 | + | y / 5 | = 2 encloses a certain region on the coordinate plane, what is the area of this region ?
Options: a. 20, b. 50, c. 200, d. 100, e. 400
Output: c
Problem: in a vehicle ' s repair shed, 3 men and 8 boys can do a piece of work in 15 days; 4 men and 9 boys can do the same work in 12 days. then, 5 men and 5 boys can do double the amount of this work in :
Options: a. 20 days, b. 33 days, c. 24 days, d. 28 days, e. none of these
Output: c
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 hour for the first 40 hours and 2 x dollars for each additional hour worked that week. last week james worked a total of 50 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. 38, e. 50
Output: e
Problem: increasing the original price of an article by 8 percent and then increasing the new price by 8 percent is equivalent to increasing the original price by
Options: a. 16.16 %, b. 16.32 %, c. 16.64 %, d. 17.26 %, e. 18.56 %
Output: c
Problem: if 6 women can color 180 m long cloth in 3 days, then 5 women can color 200 m long cloth in ?
Options: a. 6 days, b. 5 days, c. 4 days, d. 2 days, e. 3 days
Output: c
Problem: sarah operated her lemonade stand monday through friday over a two week period and made a total profit of 210 dollars. on hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days. each cup she sold had a total cost of 75 cents and sarah did not incur any other costs. if every day she sold exactly 32 cups and 3 of the days were hot, then what was the price of 1 cup on a hot day ?
Options: a. $ 1.50, b. $ 1.64, c. $ 2.25, d. $ 2.50, e. $ 3.25
Output: b
Problem: if x ⁄ 2 + 9 ⁄ 4 = 5 ⁄ 4, what is the value of x ?
Options: a. – 2, b. – 1, c. 0, d. 1, e. 2
Output: a
Problem: how many zeros does 65 ! end with ?
Options: a. 20, b. 15, c. 25, d. 30, e. 32
Output: b
Problem: the price of a certain painting increased by 30 % during the first year and decreased by 15 % during the second year. the price of the painting at the end of the 2 - year period was what percent of the original price ?
Options: a. 102 %, b. 105 %, c. 110.5 %, d. 112.5 %, e. 100 %
Output: c
Problem: a student was asked to find 4 / 5 of a number. but the student divided the number by 4 / 5, thus the student got 27 more than the correct answer. find the number.
Options: a. 40, b. 50, c. 60, d. 70, e. 80
Output: c
Problem: in a forest 150 deer were caught, tagged with electronic markers, then released. a week later, 50 deer were captured in the same forest. of these 50 deer, it was found that 20 had been tagged with the electronic markers. if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest ?
Options: a. 150, b. 6,000, c. 1,250, d. 1,500, e. 2,500
Output: b
Problem: the water level in a reservoir has been dropping at the rate of 14 inches per day. exactly 5 days ago, the water level was at w inches. what will be the water level exactly 3 days from now if the rate at which the level is dropping remains the same ?
Options: a. w − 126, b. w − 56, c. w − 112, d. w + 14, e. w + 126
Output: c
Problem: what is 15 % of 2 / 3 of 0.6 ?
Options: a. 0.06, b. 0.9, c. 9, d. 90, e. none of the above
Output: a
Problem: in a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1 / 10. for a group of 150 newborn members of the population, approximately how many would be expected to survive the first 3 months of life ?
Options: a. 110, b. 146, c. 152, d. 162, e. 170
Output: a
Problem: the units digit of ( 35 ) ^ ( 7 ) + ( 93 ) ^ ( 45 ) is :
Options: a. 2, b. 4, c. 6, d. 8, e. 0
Output: d
Problem: uba capital recently bought brand new vehicles for office use. uba capital only went for toyota and honda and bought less of toyota than honda at the ratio of 7: 3. if 70 % of the toyota bought and 30 % of the honda bought were suv ã ¢ â ‚ ¬ â „ ¢ s. how many suv ã ¢ â ‚ ¬ â „ ¢ s did uba capital buy in the aforementioned purchase ?
Options: a. 76 %, b. 58 %, c. 68 %, d. 89 %, e. 49 %
Output: b
Problem: how many 4 - digit numbers are completely divisible by 7 ?
Options: a. 1354, b. 1286, c. 1178, d. 1224, e. none
Output: b
Problem: what is the units digit of ( 3 ^ 16 ) ( 4 ^ 13 ) ?
Options: a. 2, b. 4, c. 6, d. 7, e. 8
Output: b
Problem: a can do a piece of work in 10 days, b in 15 days. they work for 5 days. the rest of work finished by c in 2 days. if they get rs 1500 for the whole work, the daily wages of b and c are ?
Options: a. 225, b. 276, c. 126, d. 187, e. 1267
Output: a
Problem: crazy eddie has a key chain factory. eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price, and thus increased the profit from the sale of each key chain from 20 % of the selling price to 50 % of the selling price. if the manufacturing cost is now $ 50, what was it before the decrease ?
Options: a. $ 20, b. $ 40, c. $ 50, d. $ 80, e. $ 100
Output: d
Problem: if it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 900 responses are needed, what is the minimum number of questionnaires that should be mailed ?
Options: a. 1300, b. 1350, c. 1400, d. 1450, e. 1500
Output: e
Problem: salad dressing p is made up of 30 % vinegar and 70 % oil, and salad dressing q contains 10 % vinegar and 90 % oil. if the two dressings are combined to produce a salad dressing that is 18 % vinegar, dressing p comprises what percentage of the new dressing ?
Options: a. 20 %, b. 30 %, c. 40 %, d. 50 %, e. 60 %
Output: c
Problem: find the value o f 72519 x 9999 = m ?
Options: a. 434539873, b. 355797990, c. 435453490, d. m = 725117481, e. 873430134
Output: d
Problem: ( 4 ! ) ^ n is a factor of 12 !, but ( 4 ! ) ^ ( n + 1 ) is not factor of 12 !. what is the value of n ?
Options: a. 1, b. 2, c. 3, d. 4, e. 5
Output: c
Problem: a motorcyclist goes from bombay to pune, a distance of 256 kms at an average of 32 kmph speed. another man starts from bombay by car 2 ½ hours after the first, and reaches pune ½ hour earlier. what is the ratio of the speed of the motorcycle and the car ?
Options: a. 1: 2, b. 1: 5, c. 1: 4, d. 1: 1, e. 5: 8
Output: e
Problem: the annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively. the number of years x in which the population would be doubled assuming there is no emigration or immigration is
Options: a. 20, b. x = 25, c. x = 30, d. x = 35, e. 40
Output: d
Problem: when the positive integer y is divided by 9, the remainder is 5. what is the remainder when 3 y is divided by 9 ?
Options: a. 0, b. 1, c. 3, d. 4, e. 6
Output: e
Problem: let s be the set of all positive integers that, when divided by 8, have a remainder of 5. what is the 70 th number in this set ?
Options: a. 557, b. 608, c. 613, d. 616, e. 621
Output: a
Problem: find the minimum value of 5 cosa + 12 sina + 12
Options: a. - 1, b. 1, c. 2, d. 3, e. none of these
Output: a
Problem: julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. after two years she earned $ 120 and $ 122 from the simple interest account and the compound interest account respectively. if the interest rates for both accounts were the same, what was the amount of julie ' s initial savings ?
Options: a. 600, b. 720, c. 1080, d. 2200, e. 3600
Output: e