antoine-444/aqua_rat_dataset huggingface dataset:
Question: Marco rode his dirt bike at 40 miles per hour (mph) for two hours. If he then continued to ride at a different constant rate for another three hours, and at the end of the three hours his average speed for the entire five hour ride was 20mph, what was his average speed over the three hour portion of his ride?
Choices:
20/3 mph
70/3 mph
80/3 mph
34 mph
Answer: A
Question: If n=4p where p is a prime number greater than 1, how many different positive even divisors does n have, including n?
Choices:
2
3
4
5
Answer: B
Question: The perimeter of one square is 24m & that of another is 32m. Perimeter of a square whose area is equal to the sum of the areas of the 2 squares will be
Choices:
24 m
28 m
40 m
43 m
Answer: C
Question: The price of a gallon of gasoline was $30 on the 15th of March. By the 15th of April, the price per gallon had increased by 20%, and by the 15th of May the price had increased again to a total of $45 per gallon. What was the percent change in the price of a gallon of gasoline between the 15th of April and the 15th of May?
Choices:
25%
30%
35%
50%
Answer: A
Question: In two triangles, the ratio of the areas is 4 : 3 and the ratio of their heights is 3 : 4. Find the ratio of their bases.
Choices:
4:5
16:9
7:9
8:5
Answer: B
Question: Rectangle A has sides a and b, and rectangle B has sides c and d. If a/c=b/d=4/5, what is the ratio of rectangle A’s area to rectangle B’s area?
Choices:
25/16
4/5
16/25
16/5
Answer: C
Question: There are two positive numbers in the ratio 5:8. If the larger number exceeds the smaller by 18, then find the smaller number?
Choices:
30
77
88
44
Answer: A
Question: A 100-litre mixture of milk and water contains 49 litres of milk. 'x' litres of this mixture is removed and replaced with an equal quantum of water. If the process is repeated once, then the concentration of the milk stands reduced at 25%. What is the value of x?
Choices:
26.67 litres
27.67 litres
28.57 litres
26 litres
Answer: C
Question: A marble shop contains 6 blue marbles, 7 red marbles, and 7 green marbles. If 4 marbles are purchased at random from the shop, what is the probability that the 4 marbles will be blue?
Choices:
9/20
1/57
15/57
15/684
Answer: B
Question: Which greatest possible length can be used to measure exactly 12 meter 65 cm, 15 meter 25 cm and 10 meter 65 cm
Choices:
5cm
4cm
15cm
50cm
Answer: A
Question: Albert buys 4 cows and 9 cows for $13,400. If he sells the cows at 10% profit and the cows at 20% profit, then he earns a total profit of $1880. The cost of a cow is:
Choices:
3000
2000
4000
5000
Answer: B
Question: A wheel that has 4 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
Choices:
4
12
6
27
Answer: C
Question: Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 94 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the total time it takes Maxwell before he meets up with Brad?
Choices:
4
5
6
10
Answer: D
Question: If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?
Choices:
1340
1350
1540
1365
Answer: D
Question: A sum of money becomes double itself in 8 years at simple interest. How many times will it become 10 years at the same rate?
Choices:
10
87
66
12
Answer: A
Question: Two children want to walk together to visit their aunt, who lives exactly 8 blocks north and 7 blocks east of their current location. If they travel only along streets and do not travel diagonally, the shortest possible route connecting the two points is exactly 15 blocks. How many different 15-block routes may they take to travel the shortest possible distance to their aunt’s house?
Choices:
15!*8*7
23!/(8!*7!)
15!/(8!*7!)
15/(8*7)
Answer: C
Question: If the square root of 1,600 is 40, then what is 40 squared?
Choices:
1,600
4
440
64,000
Answer: A
Question: There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of $ 12,000 after 3 years at the same rate?
Choices:
3120
3972
6240
None of these
Answer: B
Question: A can complete a project in 20 days and B can complete the same project in 40 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?
Choices:
20 days
26.67 days
16 days
12 days
Answer: A
Question: How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
Choices:
5040
300
547
3000
Answer: A
Question: Each of the products produced yesterday was checked by worker x or worker y. 0.5% of the products checked by worker x are defective and 0.8% of the products checked by worker y are defective. If the total defective rate of all the products checked by worker x and worker y is 0.65%, what fraction of the products was checked by worker y?
Choices:
1/2
2/3
1/4
2/5
Answer: A
Question: 50 men took a dip in a water tank 30 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4m3 , then the rise in the water level in the tank will be:
Choices:
25 cm
33.3 cm
50 cm
None of these
Answer: B
Question: The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers?
Choices:
70
92
Cannot be determined
None of these
Answer: C
Question: Mrs. Napier has 26 stickers to give to 4 students for a reward. How many
stickers will each student get? Will there be any stickers left over?
Choices:
6-5
3-6
2-3
2-8
Answer: A
Question: A motor pool has 300 vehicles of which 30 percent are trucks. 15 percent of all the vehicles in the motor pool are diesel, including 15 trucks. What percent of the motor pool is composed of vehicles that are neither trucks nor diesel?
Choices:
90%
60%
55%
10%
Answer: B
Question: The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
Choices:
2000
2028
2218
2021
Answer: A
Question: As a bicycle salesperson, David earns a fixed salary of $40 per week plus $6 per bicycle for the first 6 bicycles he sells, $12 per bicycle for the next 6 bicycles he sells, and $18 per bicycle for every bicycle sold after first 12. This week, he earned more than twice as much as he did last week. If he sold x bicycles last week and y bicycles this week, which of the following statements must be true? I. y<3x II. y>x III. y>3
Choices:
III only
II,III only
I,III only
II only
Answer: B
Question: In a group of 100 people, 55 have visited Iceland and 43 have visited Norway. If 61 people have visited both Iceland and Norway, how many people have visited neither country?
Choices:
61
62
63
64
Answer: C
Question: In a race of 4Kms A beats B by 100m or 25 seconds, then time taken by A is
Choices:
16 min 15 sec.
8 min 15 sec.
10 min 17 sec.
10 min 18 sec.
Answer: A
Question: Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in?
Choices:
3 9/27 hrs
3 9/17 hrs
3 2/17 hrs
3 9/11 hrs
Answer: B
Question: The ratio, by volume, of soap to alcohol to water in a certain solution is 6:30:90. The solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. If the altered solution will contain 150 cubic centimeters of alcohol, how many cubic centimeters of water will it contain?
Choices:
1300
1500
1800
1900
Answer: C
Question: Raman mixed 24 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
Choices:
278
189
271
211
Answer: B
Question: The length of a rectangle is reduced by 20%. By what % would the width have to be increased to maintainthe original area?
Choices:
20%
25%
30%
35%
Answer: B
Question: In a camp, there is a meal for 120 men or 200 children. If 100 children have taken the meal, how many men will be catered to with remaining meal?
Choices:
30
35
60
49
Answer: C
Question: If Henry were to add 5 gallons of water to a tank that is already 3/4 full of water, the tank would be 7/8 full. How many gallons of water would the tank hold if it were full?
Choices:
40
64
80
96
Answer: A
Question: During a recent track meet, Peter ran x meters of the 100 meter dash in 4 seconds; running at the same rate, how many seconds will it take Peter to run z meters of the 200 meter dash?
Choices:
4z/x
4x/z
4/xz
xz/4
Answer: A
Question: A person want to give his money of $3600 to his 3 children A,B,C in the ratio 2:3:4. What is the B's share?
Choices:
$1200
$2500
$1800
$1600
Answer: A
Question: On decreasing the price of a cooler by 25 %, its sale is increased by 50%. The effect on the revenue is?
Choices:
12.5 % increase
16% decrease
16% increase
none of these
Answer: A
Question: The average (arithmetic mean) of eight numbers is 47.1. If the sum of half of these numbers is 158.4, what is the average of the other half?
Choices:
24.2
54.6
72.1
96.8
Answer: B
Question: In how many different ways can the letters of the word 'DETAIL' be arranged such that the vowels must occupy only the odd positions?
Choices:
64
120
36
22
Answer: C
Question: Machine R takes 2 more hours than machine B to make 20 widgets. If working together, the machines can make 25 widgets in 3 hours, how long will it take machine R to make 40 widgets?
Choices:
6
8
10
12
Answer: D
Question: 3 people meet for a business lunch. Each person shakes hands once with each other person present. How many handshakes take place?
Choices:
15
3
9
12
Answer: B
Question: The ratio between the sale price and the cost price of an article is 7:5. What is the ratio between the profit and the cost price of that article?
Choices:
5:2
7:2
Data inadequate
None of these
Answer: D
Question: Out of a classroom of 7 boys and 4 girls, the teacher randomly chooses a president for the student board, a vice president, and a secretary. What is the probability that only girls will be selected for all three positions?
Choices:
4/165
7/165
2/33
5/33
Answer: A
Question: Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
Choices:
2000
2682
2688
2786
Answer: A
Question: . Star question:
If f(1)=4 and f(x+y)=f(x)+f(y)+7xy+4,then f(2)+f(5)=?
Choices:
125
289
1077
111
Answer: A
Question: The perimeter of a square is 52 m. Find the area of the square.
Choices:
169 m².
146 m².
189 m².
269 m².
Answer: A
Question: A part-time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee's total income did not change. By what percent should the number of hours worked be increased?
Choices:
20%
25%
50%
100%
Answer: B
Question: If xy > 0, which of the following must be negative?
Choices:
x/y
-x/y
2xy
x+y
Answer: B
Question: Of the goose eggs laid at a certain pond, 1/4 hatched and 4/5 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?
Choices:
1300
1400
1500
1600
Answer: C
Question: It takes 40 identical printing presses 12 hours to print 500,000 papers. How many hours would it take 30 of these printing presses to print 500,000 papers?
Choices:
15
16
18
20
Answer: B
Question: 10 % of 2 is equal to
Choices:
0.2
0.6
0.7
0.9
Answer: A
Question: 3 years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is the same today. The present age of the baby is
Choices:
2 years
3 years
4 years
None
Answer: A
Question: If a quarter kg of onions costs 50 paise, how many paise will 100 gm cost?
Choices:
20 paise
56 paise
87 paise
15 paise
Answer: A
Question: A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 5 employees to 2 different offices?
Choices:
32
31
33
35
Answer: A
Question: A 300 meter long train crosses a platform in 48 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
266
230
500
271
Answer: C
Question: A restaurant meal cost $35.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then total amount paid must have been between:
Choices:
$39 and $41
$38 and 40
$37 and $39
$36 and $37
Answer: A
Question: The average of 2,7,6 and x is 5. Find the value of x?
Choices:
8
12
15
5
Answer: D
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Choices:
30%
33 1/3%
33 1/6%
33 1/9%
Answer: B
Question: The difference between the local value and the face value of 7 in the numeral 32675149 is?
Choices:
64851
5149
69993
None of these
Answer: C
Question: Lola rolls a die 3 times. What is the probability that she gets a 4 on the last one of the 3 rolls?
Choices:
215/216
1/216
none
2
Answer: A
Question: A can complete a project in 20 days while B can complete same project in 30 days. If A and B start working together and A leaves the work 10 days before completion of project, then in how many days the project will be completed?
Choices:
18
20
21
22
Answer: A
Question: Calculate the share of profit that belongs to Mark in a partnership business he invested Rs 31,000. His partner Abel invested RS.36,800 and the business made a profit of Rs 18,400.
Choices:
8489.98
8412.98
8732.98
2112.98
Answer: B
Question: At a certain amateur bands rock show the ratio of freaks to nerds to geeks( G) is 1:2:3. If these are the only types of people in the crowd, and each person in the crowd has the same chance of yelling rock on!, what are the chances that the next person who yells rock on!will be a geek?
Choices:
1/3
1/2
1/4
1/6
Answer: B
Question: A town in California fines residents who do not pay their property taxes on time. All residents must pay their taxes before July 1st for that calendar year or face the following fine structure: For the first month the taxes are overdue (that would be any payment made on July 1st through July 31st), the total fine is 1% of the original tax bill; for each additional month that the taxes are overdue, the total fine is increased by $1000 or doubled, whichever results in the lesser amount. What is the total fine for a resident of that town who originally owed $50,000 in property taxes, but did not pay until October 15th?
Choices:
$1,800
$4,000
$21,400
$22,800
Answer: B
Question: The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8900. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Choices:
s.2900
s.4500
s.4550
s.2500
Answer: A
Question: If n is a positive integer and n^2 is divisible by 72, then the largest positive integer W that must divide n is?
Choices:
12
24
36
48
Answer: A
Question: The HCF and LCM of two numbers m and n are respectively 6 and 210. If m + n = 58, then 1/m + 1/n is equal to
Choices:
3/35
5/37
2/35
None
Answer: D
Question: A straight fence is to be constructed from posts 9 inches wide and separated by lengths of chain 5 feet long. If a certain fence begins and ends with a post, which of the following couldnotbe the length of the fence in feet? (12 inches = 1 foot)
Choices:
28
35
39
40
Answer: D
Question: Sanoop bought 8 t-shirts at an average price (arithmetic mean) of Rs.530. If Sanoop returned 3 t-shirts to the retailer, and the average price of the remaining t-shirts was Rs.505, then what is the average price, of the three returned t-shirts?
Choices:
561
562
571.6
564
Answer: C
Question: A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
90
96
97
99
Answer: A
Question: If $15,000,000 is the initial amount placed in an account that collects 7% annual interest, which of the following compounding rates would produce the largest total amount after two years?
Choices:
compounding quarterly
compounding monthly
All four of these would produce the same total
compounding daily
Answer: D
Question: The ration of the number of boys and girls in a college is 2:3. If the percentage is increase in the number of boys and girls be 10% and 20% respectively. What will be the new ration?
Choices:
13:17
15:43
11:18
15:23
Answer: C
Question: Two pipes A and B can separately fill a tank in 12 and 15 minutes respectively. A third pipe C can drain off 36 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank?
Choices:
540
514
829
432
Answer: D
Question: A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?
Choices:
48
30
40
50
Answer: A
Question: A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum?
Choices:
2770
2708
2000
2791
Answer: C
Question: Find the average of the first 19 natural numbers?
Choices:
9
10
11
12
Answer: B
Question: Alice and Bob contributed $8 and $4 respectively to the price of a $12 lottery ticket. The ticket won fourth prize, worth $24,000. How much money should they each receive from the prize?
Choices:
Alice should get $16,000; Bob should get $8,000
Alice should get $17,000; Bob should get $7,000
Alice should get $17,500; Bob should get $6,500
Alice should get $18,000; Bob should get $6,000
Answer: A
Question: The sum of the mean, the median, and the range of the set {1, 2, 9} equals which one of the following values?
Choices:
14
16
8
10
Answer: A
Question: Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 16 seconds, the speed of each train (in km/hr) is
Choices:
27
28
20
24
Answer: A
Question: Concentrated orange juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches. The tubes are packed into wooden boxes, each with dimensions of 11 inches by 10 inches by 31 inches. How many tubes of concentrated orange juice, at the most, can fit into 3 wooden boxes?
Choices:
24.
36.
42.
48
Answer: A
Question: What is 2 2/3 - 1 1/4 divided by 1/4 - 1/6 ?
Choices:
36/17
17/6
17/1
51/4
Answer: C
Question: X and Y started a business in partnership investing Rs. 8,000 and Rs. 12,000 respectively. After nine months, Z joined them with Rs. 20,000. What will be Z's share in total profit of Rs. 20,000 earned at the end of 3 years from the starting of the business?
Choices:
Rs. 8,571
Rs. 9,751
Rs. 9,571
None
Answer: A
Question: In Kaya's teacher's desk there are 24 pink highlighters, 28 yellow highlighters, and 25 blue highlighters. How many highlighters are there in all?
Choices:
22
77
33
88
Answer: B
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Choices:
48
7
67
15
Answer: A
Question: A train running at the speed of 54 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
135
150
170
160
Answer: A
Question: The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places?
Choices:
Rs.20043.94
Rs.20043.91
Rs.20043.92
Rs.20044.94
Answer: A
Question: Kim can walk 4 kilometers in one hour. How long does it take Kim to walk 18 kilometers?
Choices:
6 hours and 30 minutes.
5 hours and 30 minutes.
3 hours and 30 minutes.
4 hours and 30 minutes.
Answer: D
Question: If T is a negative integer and K is a positive integer, which of the following could be the standard deviation of a set {-7, -5, -3, T, 0, 1, 3, K, 7}?
I. -1.5
II. -2
III. 0
Choices:
II only
III only
I and III only
None
Answer: D
Question: The average of five integers is 60, and none of these integers is greater than 100. If the average of three of the integers is 65, what is the least possible value of one of the other two integers?
Choices:
5
20
21
30
Answer: A
Question: At Joes Steakhouse the hourly wage for a chef is 20% greater than that of a dishwasher, and the hourly wage of a dishwasher is half as much as the hourly wage of a manager. If a managers wage is $8.50 per hour, how much less than a manager does a chef earn each hour?
Choices:
$2.40
$3.40
$4.40
$5.40
Answer: B
Question: If y exceeds x by 25%, then x is less than y by?
Choices:
29%
20%
80%
24%
Answer: B
Question: A group of 7 friends are having lunch together. Each person eats at least 3/4 of a pizza. What is the smallest number of whole pizzas needed for lunch?
Choices:
3
4
5
6
Answer: D
Question: In a survey, 60 percent of the people surveyed admitted to being smokers, while 25 percent of the people surveyed who were smokers declined to include that information in the survey. What percent of the people surveyed were actually smokers?
Choices:
80%
90%
75%
85%
Answer: A
Question: The tax on a commodity is diminished by 25% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?
Choices:
14%
16%
20%
17.5%
Answer: D
Question: Two pipes can separately fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is full, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?
Choices:
16 hrs
88 hrs
55 hrs
41 hrs
Answer: A
Question: Ben is driving on the highway at y miles per hour. (One mile equals 5,280 feet.) Ben's tires have a circumference of z feet. Which of the following expressions gives the number of revolutions each wheel turns in one hour?
Choices:
5,280(y/z)
5,280(xy)
5,280/(xy)
(xy)/5,280
Answer: A
Question: If there is exactly one root of the equation x^2 + 2ax + b, where a and b are positive constants, what is b in terms of a?
Choices:
a
3a/2
a^2
a^2/4
Answer: C
Question: If x is a positive integer with fewer than 3 digits, what is the probability that Z x*(x + 1) is a multiple of either 4 or 5?
Choices:
2/25
8/99
49/100
86/99
Answer: D
Question: A man sells a horse for Rs.620 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Choices:
679
740
860
898
Answer: B
Question: Type the missing number.
-95,-90,-85,x, -75,-70
Choices:
-86
-76
-60
-80
Answer: D
Question: A and B are two multiples of 14, and Q is the set of consecutive integers between A and B, inclusive. If Q contains 13 multiples of 14, how many multiples of 7 are there in Q?
Choices:
24
25
26
27
Answer: B
Question: A and B start a business with Rs.6500 and Rs.8500 respectively. Hoe should they share their profits at the end of one year?
Choices:
3:4
3:1
3:2
13:17
Answer: D
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
29 seconds
40 seconds
11 seconds
12 seconds
Answer: B
Question: If A^4 + B^4 = 100, then the greatest possible value of B is between
Choices:
1 and 2
2 and 3
3 and 4
4 and 5
Answer: C
Question: Set A contains all the even numbers between 4 and 50 inclusive. Set B contains all the even numbers between 104 and 150 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A?
Choices:
2400
5050
6275
11325
Answer: A
Question: The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Choices:
9
7
6
3
Answer: A
Question: A shopkeeper sells sugar in such a way that the selling price of 950g of sugar is the same s the cost price of 1 kg of sugar. What is his gain percent?
Choices:
5(5/19)
5
4(1/19)
None
Answer: A
Question: A collector collects stamps from foreign countries. In June, she gave 20 percent of her stamps to her friend. In July, she gave 15 percent of her remaining stamps to another friend. If these were the only changes in the number of stamps in the stamp collection during those two months, what percent of her collection at the beginning of June did she give to away in June and July?
Choices:
32%
36%
40%
44%
Answer: A
Question: The average age of a family of 6 members is 40 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?
Choices:
33
21
12
19
Answer: A
Question: If the sum of two numbers is 16 and the sum of their squares is 200, then the product of the numbers is
Choices:
44
80
88
28
Answer: D
Question: If x is an integer, which of the following is a possible value of H=(x^2 +2x – 7)/9?
Choices:
0.268
1.166 repeating
4.555 repeating
8.125
Answer: C
Question: A 35 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Choices:
10
88
77
14
Answer: A
Question: A clock loses a minute every three hours for 4 days and gains 1% in the subsequent 6 days. If it was set right on Friday at 12 AM, what will be the time at the end of 10 days?
Choices:
12:56:24 AM
01:16:40 PM
12:54:24 AM
01:06:36 PM
Answer: C
Question: A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangular plot of farmland that is 1080 feet by 605 feet? (43,560 square feet = 1 acre)
Choices:
$3,360
$450
$360
$150
Answer: B
Question: 1,11,21,_ what comes in the next series.
Choices:
11
21
31
41
Answer: C
Question: One week, a certain truck rental lot had a total of 26 trucks, all of which were on the lot Monday morning. If 50% of the trucks that were rented out during the week were returned to the lot on or before Saturday morning of that week, and if there were at least 14 trucks on the lot that Saturday morning, what is the greatest number of different trucks that could have been rented out during the week?
Choices:
16
12
24
4
Answer: C
Question: By selling an article for $225 a person gains $75. What is the gain %?
Choices:
30%
50%
20%
10%
Answer: B
Question: Triangle XYZ is an isosceles right triangle. If side XY is longer than side YZ, and the area of the triangle is 49, what is the measure of side XY?
Choices:
4√2
14
8√2
Cannot be determined from the information provided
Answer: B
Question: The regular price per can of a certain brand of soda is $0.40. If the regular price per can is discounted 15 percent when the soda is purchased in 24-can cases, what is the price of 100 cans of this brand of soda purchased in 24-can cases?
Choices:
$18.00
$21.60
$34
$28.80
Answer: C
Question: Out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a GPA equal to or lower than 3.0. How many T applicants majored in political science and had a GPA higher than 3.0?
Choices:
5
15
25
35
Answer: A
Question: How many inches are in 2000 millimeters? (round your answer to the nearest hundredth of of an inch).
Choices:
78.74 inches
88.74 inches
58.74 inches
48.74 inches
Answer: A
Question: If it takes a machine 3⁄5 minute to produce one item, how many items will it produce in 2 hours?
Choices:
4⁄3
80
200
180
Answer: C
Question: When the positive integer r is divided by 11, the quotient is s and the remainder 3. When r is divided by 19, the remainder is also 3. What is the remainder when s is divided by 19?
Choices:
3
2
1
0
Answer: D
Question: A word is defined as a sequence of five dots arranged in a row. Each dot is colored either red, yellow, or blue. How many distinct words can be formed?
Choices:
150
212
243
316
Answer: C
Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
Choices:
276m
267m
180m
287m
Answer: A
Question: Based on this year's costs, a company budgets P dollars for hiring N new employees next year. If the average cost of hiring each employee were to decrease 20% from this year's cost, then the greatest number of employees could hire next year using P dollars would be:
Choices:
25% greater than N
20% greater than N
25% less than N
20% less than N
Answer: A
Question: There are a total of 15 numbers with an average of 11. The average of first seven numbers is 14 and the average of last seven numbers is 6. What is the middle number?
Choices:
24
29
25
21
Answer: C
Question: (X^n - A^n) is completely divisible by (X - A), when
Choices:
n is any natural number
n is an odd natural number
n is prime
none of these
Answer: A
Question: The average age of a group of n people is 15 years old. One more person aged 35 joins the group and the new average is 17 years old. What is the value of n?
Choices:
9
10
11
12
Answer: A
Question: Can you please walk me through how to best approach this problem? Thanks
If #p# = ap^3+ bp – 1 where a and b are constants, and #-4# = 2, what is the value of #4#?
Choices:
-4
-2
-3
-4
Answer: A
Question: A, B and C invested Rs.6600, Rs.4400 and Rs.11000 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
Choices:
Rs.3300
Rs.3500
Rs.4200
Rs.3400
Answer: A
Question: In an election between two candidates, 20% of votes are were declares invalid. First candidate got 480 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was:
Choices:
2500 votes
3000 votes
4000 votes
4200 votes
Answer: B
Question: A man gets a simple interest of Rs.400 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate?
Choices:
s.556
s.656
s.750
s.820
Answer: D
Question: A train is 460 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length
Choices:
30 seconds
40 seconds
48 seconds
None of these
Answer: C
Question: If (1/2)^23 (1/81)^k = 1/18^23, then k =
Choices:
12
16
24
46/4
Answer: D
Question: The number 133 is equal to the sum of the cubes of two integers. What is the product of those integers?
Choices:
15
21
27
10
Answer: D
Question: (x + 6) is a factor in x^2 - mx - 42. What is the value of m?
Choices:
2.2
1
4
5
Answer: B
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
Choices:
3630
2707
2700
2772
Answer: A
Question: How many 1 1/4 foot pieces of cable can be cut out of a piece that is 30 feet long?
Choices:
b.16
c.17
d.24
e. 20
Answer: C
Question: In how many ways can 4 black and 5 white chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct.
Choices:
1440
120
2880
720
Answer: C
Question: If an integer x is to be selected at random from 1 to 200, inclusive, what is probability x(x+1) will be divisible by 4?
Choices:
0.5
0.25
0.75
1.25
Answer: A
Question: To be undaunted is to be impervious, undisturbed and ‘fearless’.
Choices:
HH
28
28J
9J
Answer: C
Question: In a company, 50 percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non-union employees are women?
Choices:
80%
75%
70%
65%
Answer: A
Question: The average salary of all the workers in a workshop is Rs. 9000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is?
Choices:
B)21
C)52
D)56
E)14
Answer: D
Question: a right triangle has three sides (F, G, H). If F=5, G=8.66, and H=10, which angle is 90 degrees
Choices:
FG
HF
n/a
n/a
Answer: A
Question: A positive number x is multiplied by 5, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?
Choices:
3/2
4/3
5/3
1/2
Answer: C
Question: Students in Class I and II of a school are in the ratio of 3 : 5. Had 15 students leave the school from each class, the ratio would have become 1 : 2. How many total students were there in the beginning?
Choices:
120
96
80
None
Answer: A
Question: The maximum number of students among them 848 pens and 630 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils?
Choices:
4
2
14
16
Answer: B
Question: The average monthly salary of 8 workers and one supervisor in a factory was 430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.Whenthesupervisor,whosesalarywas430. When the supervisor, whose salary was 870 per month, retired, a new person was appointed and then the average salary of 9 people was $$390 per month. The salary of the new supervisor is:
Choices:
600
510
771
191
Answer: B
Question: How long will a boy take to run round a square field of side 35 meters, If he runs at the rate of 9 km/hr?
Choices:
38
37
56
28
Answer: C
Question: A man covers a distance on scooter. Had he moved 3kmph faster he would have taken 40 min less. If he had moved 2kmph slower, he would have taken 40min more. The distance is.
Choices:
60 km
80 km
20 km
40 km
Answer: D
Question: 12 spheres of the same size are made from melting a solid cylinder of 8 cm diameter and 1 cm height. What is the diameter of each sphere?
Choices:
2 cm
8 cm
10 cm
12 cm
Answer: A
Question: A small company is planning to rent either computer A or computer B to print customer mailing lists. Both computer A and computer B must be rented on an hourly basis. The rental fee is based only on the amount of time the computer is turned on. It will cost 40 percent more per hour to rent computer A than to rent computer B. Computer B would, however, require 20 hours more than computer A to do the job. If either computer A, or computer B were rented the total cost to rent the computer would be $850.00. What would be the approximate hourly charge to rent computer B?
Choices:
$11.30
$12.14
$17.80
$22.10
Answer: B
Question: The owner of a furniture shop charges his customer 60% more than the cost price. If a customer paid Rs. 2000 for a computer table, then what was the cost price of the computer table?
Choices:
2772
1250
6725
2099
Answer: B
Question: Tom spent six lucky days in Las Vegas. On his first day he won a net amount of only $20, but on each of the following days, the daily net amount he won grew by d dollars. If Tom won a total net amount of $1620 during his stay in Las Vegas, how much did he win on the last day?
Choices:
500
520
540
620
Answer: B
Question: The average of first nine prime numbers which are odd is?
Choices:
15.1
14.1
17.1
13.1
Answer: B
Question: If two sides of a triangle are 12 and 6, which of the following could be the area of triangle?
1. 35
2. 48
3. 56
Choices:
b) 1 and 2 only
c) 1 and 3 only
d) 2 and 3 only
e) 1, 2 and 3 only
Answer: C
Question: An error 2% in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square?
Choices:
4.05%
4%
3%
2%
Answer: A
Question: Joan and Karl each bought a bicycle and the sum of their purchases was $800. If twice of what Joan paid was $40 more than what Karl paid, what did Joan pay for her bicycle?
Choices:
$280
$320
$340
$360
Answer: A
Question: When positive integer n is divided by 3, the remainder is 1. When n is divided by 7, the remainder is 5. What is the smallest positive integer k such that k+n is a multiple of 21?
Choices:
2
6
8
10
Answer: A
Question: Find the principle on a certain sum of money at 9% per annum for 2 2/5 years if the amount being Rs.1120?
Choices:
912.88
927.78
926.82
921.05
Answer: D
Question: In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was :
Choices:
2600
2700
2900
3200
Answer: B
Question: Which of the following equivalent to (1/125)^2?
Choices:
(0.04)^3
(0.05)^6
(0.06)^3
(0.07)^2
Answer: A
Question: In how many ways can 5 boysand 2 girls be arranged at a table if 2 girls are never together?
Choices:
240
254
260
480
Answer: D
Question: There are 7 magazines lying on a table; 3 are fashion magazines and the other 4 are sports magazines. If 3 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazines will be selected?
Choices:
7/8
32/35
11/12
13/14
Answer: A
Question: if x/4-x-3/6=1,then find the value of x.
Choices:
6
5
1
2
Answer: A
Question: Triathlete Dan runs along a 2-mile stretch of river and then swims back along the same route. If Dan runs at a rate of 8 miles per hour and swims at a rate of 6 miles per hour, what is his average rate for the entire trip in miles per minute?
Choices:
1/9
3/15
1/4
3/8
Answer: A
Question: A man has only 20-paise and 25-paise coins in a bag. If he has 50 coins in all totaling to Rs.11.25, then the number of 20-paise coins is
Choices:
27
26
25
24
Answer: C
Question: A takes twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2days. B can do the work alone in?
Choices:
10
12
15
20
Answer: B
Question: The cost of 2 books and 2 magazines is $26. The cost of 1 book and 3 magazines is $27. How much does 1 magazine cost?
Choices:
5
7
4
6
Answer: B
Question: If 45-[28-{37-(15-*)}]= 57, then * is equal to:
Choices:
-19
18
29
39
Answer: B
Question: Five different books (A, B, C, D and E) are to be arranged on a shelf. Books C,D and E are to be arranged first and second starting from the right of the shelf. The number of different orders in which books A, B and may be arranged is
Choices:
2!
5!
15!
24!
Answer: A
Question: A line has a slope of 3/4 and intersects the point R (-12, -39). At which point does this line intersect the x-axis?
Choices:
(40,0)
(0,40)
(40,30)
(0,30)
Answer: A
Question: A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
Choices:
4
5
7
6
Answer: C
Question: A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
Choices:
76
70
21
28
Answer: B
Question: A certain city with a population of 60,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district What is the minimum possible population that the least populated district could have ?
Choices:
b) 10,800
c) 10,900
d) 11,000
e) 5,000
Answer: D
Question: A and B start a business with Rs.2000 and Rs.8000 respectively. How should they share their profits at the end of one year?
Choices:
1:4
3:1
3:2
3:9
Answer: A
Question: Find the sum to 200 terms of the series 1 + 4 + 6 + 5 + 11 + 6 + ....
Choices:
30,200
30,400
40,400
None of these
Answer: A
Question: The average of first six prime numbers which are between 60 and 90 is
Choices:
42
45.7
57
72.33
Answer: D
Question: P is five times as old as Q, and Q is seven years older than R. If R is z years old, what is P’s age in terms of z?
Choices:
5z − 35
5z + 35
(z + 7)/5
(z − 7)/5
Answer: B
Question: A certain roller coaster ride has between 29 and 150 people waiting in line to board. If riders are let on only in groups of 5 there will be 2 riders that do not get on. If the riders are let on only in groups of 6 all riders will be able to get on. Which of the following is the sum of the greatest possible number of people in the line and the least possible number of people in the line?
Choices:
184
174
169
142
Answer: B
Question: If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 54/r years. If Joe's parents invested $5,000 in a long-term bond that pays 6 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when Joe is ready for college?
Choices:
$15000
$12000
$10000
$9000
Answer: C
Question: A pair of articles was bought for $50 at a discount of 60%. What must be the marked price of each of the article?
Choices:
$10
$29.65
$35.95
$45.62
Answer: A
Question: If APPLE is coded as 0 and FLOWER is coded as 63, then BASKET is coded as
Choices:
19
35
40
None
Answer: C
Question: Annie will be half as old as Larry in 3 years. Annie will also be one-third as old as Jerome in 5 years. If Jerome is 12 years older than Larry, how old is Annie?
Choices:
5
19
26
34
Answer: A
Question: Barbara has 8 shirts and 9 pants. How many clothing combinations does Barbara have, if she doesn’t wear 2 specific shirts with 3 specific pants?
Choices:
66
36
70
56
Answer: A
Question: 4,25,49,121,169,
Choices:
169
289
209
219
Answer: B
Question: When 1/10 percent of 4,000 is subtracted from 1/10 of 4,000, the difference is
Choices:
396
3996
40
400
Answer: A
Question: A river 3m deep and 36 m wide is flowing at the rate of 2 kmph the amount of water that runs into the sea per minute is?
Choices:
2678
3600
3400
2500
Answer: B
Question: Rates for having a manuscript typed at a certain typing service are $6 per page for the first time a page is typed and $4 per page each time a page is revised. If a certain manuscript has 100 pages, of which 35 were revised only once, 15 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?
Choices:
$860
$840
$830
$820
Answer: A
Question: A can do a piece of work in 20 days and B can do it in 15 days and C can do it 20 days. They started the work together and A leaves after 2 days and B leaves after 4 days from the beginning. How long will work lost?
Choices:
10 2/0
12 2/3
10 2/1
10 2/3
Answer: B
Question: At the start of an experiment, a certain population consisted of 3 animals. At the end of each month after the start of the experiment, the population size was double its size at the beginning of that month. Which of the following represents the population size at the end of 6 months?
Choices:
3^2
2(3^10)
3(2^6)
3(10^2)
Answer: C
Question: In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.42, the number of 25 paisa coins is?
Choices:
42
16
84
26
Answer: A
Question: The HCF of two numbers is 42 and the other two factors of their LCM are 11 and 12. What is the largest number.
Choices:
450
480
504
555
Answer: C
Question: What will be the percentage increase in the area of the cube's surface if each of the cube's edges grows by 20%?
Choices:
44%
55%
56%
73%
Answer: A
Question: there are 3 girls and 6 boys. how many kids are there?
Choices:
19
20
9
12
Answer: C
Question: In a class of 40 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?
Choices:
10
18
28
32
Answer: B
Question: There are 10 points in a plane out of which 4 are collinear. Find the number of triangles formed by the points as vertices.
Choices:
116
103
512
105
Answer: A
Question: If 99<x<199 and 10<y<100, then the product xy CANNOT be equal to:
Choices:
19,903
19,356.732
19,502
19,880
Answer: A
Question: Three numbers are in the ratio 4 : 5 : 6 and their average is 25. The largest number is :
Choices:
30
27
21
22
Answer: A
Question: If x and y are integers such that x^2= 2y and xy = 256, then x – y = ?
Choices:
-24
-5
5
20
Answer: A
Question: The entire contents of a full sack of flour can be used to make 15 cupcakes and 8 pizzas. The same full sack of flour can be used to make 5 cupcakes and 14 pizzas. If a full sack of flour is used to make only pizzas, how many pizzas can be made?
Choices:
18 1/2
18 3/4
17
19 1/4
Answer: C
Question: 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?
Choices:
Rs.1570
Rs.1500
Rs.1550
Rs.1700
Answer: B
Question: A manufacturer is using glass as the surface for the multi-touch screen of its smartphone. The glass on the manufactured phone has a 7% probability of not passing quality control tests. The quality control manager bundles the smartphone in groups of 10. If that bundle has any smartphone that does not pass the quality control test, the entire bundle of 10 is rejected.
What is the probability that a smartphone bundle that will be rejected by quality control?
Choices:
1-0.93^10
1-0.95^10
1-0.05^10
0.95^10
Answer: A
Question: If there are half as many women as men in a group and an equal number of men and women do not own cars - a group that is 30% of the total. What fraction of the total is men who own cars?
Choices:
31⁄60
9⁄40
1⁄3
11⁄20
Answer: A
Question: The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
Choices:
44%
68%
64%
234%
Answer: C
Question: Running at the same constant rate, 6 identical machines can produce a total of 390 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
Choices:
1800
2600
10800
10900
Answer: B
Question: Each child has 2 pencils and 13 Skittles. If there are 11 children, how many pencils are there in total?
Choices:
12
18
22
08
Answer: C
Question: Line R has the equation 3x + y = 7. Which of the following lines is perpendicular to Line R?
Choices:
y = –3x – 6
y = (1/3)x – 1
y = (–1/3)x + 2
y = (–7/3)x – 5
Answer: B
Question: In a village the average age of n people is 42 years. But after the verification it was found that the age of a person had been considered 20 years less than the actual age, so the new average, after the correction,increased by 1. The value of n is?
Choices:
20
88
37
16
Answer: A
Question: The average (arithmetic mean) of the even integers from 0 to 80 inclusive is how much greater than the average (arithmetic mean) of the even integers from 0 to 40 inclusive?
Choices:
20
28
36
40
Answer: A
Question: A train, 130130 metres long travels at a speed of 4545 km/hr crosses a bridge in 3030 seconds. The length of the bridge is
Choices:
245 metres
235 metres
220 metres
260 metres
Answer: A
Question: Jake, Lena, Fred, John and Inna need to drive home from a corporate reception in an SUV that can seat 8 people. If only Inna or Jake can drive, how many seat allocations are possible?
Choices:
42
120
360
1680
Answer: D
Question: At what rate percent per annum will the simple interest on a sum of money be 1/5 of the amount in 10 years?
Choices:
2%
9%
3%
1%
Answer: A
Question: 45 x ? = 35% of 900
Choices:
7
5
500
None
Answer: A
Question: If a% of b is the same as 8/9 of 450, then the value of ab is?
Choices:
40000
65200
32560
45878
Answer: A
Question: How many four-digit numbers are there, if the two leftmost digits are even, the other digits are odd and the digit 4 cannot appear more than once in the number.
Choices:
475
485
490
495
Answer: A
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Choices:
Rs. 3600
Rs. 3560
Rs. 4530
None of these
Answer: C
Question: A watch was sold at a loss of 15%. If it was sold for Rs.400 more, there would have been a gain of 5%. What is the cost price?
Choices:
1600
2778
2788
2991
Answer: A
Question: Look at this series: 22, 21, 23, 22, 24, 23, ... What number should come next?
Choices:
24
25
26
27
Answer: B
Question: If the Average of 10 consecutive integers is 22.5 then the 10th integer is :-
Choices:
20
23
27
25
Answer: C
Question: The entrance ticket at the Imax theatre in Chennai is worth Rs 250. The sale of tickets increased by 50% when the price of the ticket was lowered. However, the collections recorded a decrease of 17.5%. The price of the ticket is reduced by how much rupees?
Choices:
Rs112.50
Rs105
Rs120
Rs180
Answer: A