antoine-444/aqua_rat_dataset huggingface dataset:
Question: In how many different ways can 9 people be seated in a room with 11 chairs?
Choices:
181,440
403,200
1,814,400
19,958,400
Answer: D
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
Choices:
2977
2871
6725
2981
Answer: C
Question: As a bicycle salesperson, Norman earns a fixed salary of $20 per week plus $6 per bicycle for the first six bicycles he sells, $12 per bicycle for the next six bicycles he sells, and $18 per bicycle for every bicycle sold after the first 12. This week, Norman earned more than twice as much as he did last week. If he sold n bicycles last week and y bicycles this week, which of the following statements must be true?
I. y > 2n
II. y > n
III. y > 3
Choices:
II only
I and II
II and III
I, II, and III
Answer: C
Question: x is the product of each integer from 1 to 100, inclusive and y=100^k, where k is an integer . What is the greatest value of k for which y is a factor of x?
Choices:
6
8
10
12
Answer: D
Question: To mail a package, the rate is 30 cents for the first pound and 5 cents for each additional pound. Two packages weighing 4 pounds and 6 pounds, respectively can be mailed seperately or combined as one package. Which method is cheaper and how much money is saved?
Choices:
Separately, with a saving of 5 cents
Combined, with a saving of 25 cents
Separately, with a saving of 15 cents
Combined, with a saving of 22 cents
Answer: B
Question: A certain football coach allows his quarterback to call three plays in a row. If the quarterback can choose from 3 passing plays, 4 running plays, and 2 trick plays, how many different W arrangements of plays can be run, if the same play can’t be run more than once?
Choices:
125
243
504
729
Answer: C
Question: On a game show, a contestant is given three keys, each of which opens exactly one of the three identical boxes.The contestant assigns each key to one of the boxes and wins the amount of money contained in any box that is opened by the key assigned to it. The first box contains $4, the second $400, and the third $4000. What is the probability that a contestant will win more than $4000?
Choices:
1/6
1/8
1/3
1/2
Answer: A
Question: How many bricks, each measuring 5 cm x 11 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 2 cm?
Choices:
6000
2909
7200
8600
Answer: B
Question: If x =- |x| , then which one of the following statements could be true?
I. x = 1
II. x < 0
III. x > 0
Choices:
I only
II only
I and II
II and III
Answer: B
Question: The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area?
Choices:
37.5
30.5
22.5
20.5
Answer: A
Question: In a new housing development, trees are to be planted along the sidewalk of a certain street. Each tree takes up one square foot of sidewalk space, and there are to be 10 feet between each tree. How many trees can be planted if the road is 166 feet long?
Choices:
9
10
11
16
Answer: D
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Choices:
17
18
19
20
Answer: C
Question: In the sequence 1, 2, 4, 8, 16, 32, …, each term after the first is twice the previous term. What is the sum of the 16th, 17th terms in the sequence?
Choices:
3(2^17)
7(2^16)
3(2^15)
7(2^15)
Answer: C
Question: A train 110 m long is running with a speed of 84 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
6 sec
8 sec
4.4 sec
2 sec
Answer: C
Question: In Anthony's toy bin there are 17 red blocks. There are 8 more yellow blocks than red blocks. There are also 4 more blue blocks than red blocks. How many blocks are there in all?
Choices:
11
29
63
34
Answer: C
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
150m
278m
229m
267m
Answer: A
Question: Four-ninths of a drink mix is dye and the rest is sugar. When the mix is added to water a gallon of drink is made that is 7.5% sugar. What percentage of the gallon is dye?
Choices:
6
7.5
8
24
Answer: A
Question: The three digits of a number add up to 14. The number is divisible by 5. The leftmost digit is double the middle digit. What is the product of the three digits?
Choices:
72
78
90
125
Answer: C
Question: David deposited $5,000 to open a new savings account that earned six percent annual interest, compounded semi-annually. If there were no other transactions in the account, what the amount of money in David account one year after the account was opened?
Choices:
$5,306
$5,136
$5,405
$5,500
Answer: A
Question: A train moves with a speed of 162 kmph. Its speed in metres per second is
Choices:
18
30
38.8
45
Answer: D
Question: If the average (arithmetic mean) of 102 consecutive odd integers is 414, then the least of these integers is
Choices:
b) 289
c) 250
d) 313
e) 525
Answer: C
Question: 40 is what percent of 160?
Choices:
40%
45%
50%
25%
Answer: D
Question: Which of the following equations passes through the points (2,4) and (-3,-6)?
Choices:
y = 2x
y = (-1/2)x + 2
y = 2x + 4
y = 2x - 4
Answer: A
Question: Ratio between 2 numbers is 5 : 7 and their product is 560.what is the difference between 2 numbers?
Choices:
7
8
9
2
Answer: B
Question: Three 8 faced dice are thrown together. The probability that all the three show the same number on them is ?
Choices:
1/48
1/56
1/64
1/68
Answer: C
Question: The difference of two numbers is 1375. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Choices:
272
295
360
252
Answer: A
Question: Two alloys A and B are composed of two basic elements. The ratios of the compositions of the two basic elements in the two alloys are 7 : 5 and 1 : 2, respectively. A new alloy X is formed by mixing the two alloys A and B in the ratio 4 : 3. What is the ratio of the composition of the two basic elements in alloy X ?
Choices:
2 : 3
5 : 2
10 : 11
7 : 9
Answer: C
Question: What is the sum of all the prime numbers greater than 10 but less than 40?
Choices:
189
180
199
1981
Answer: B
Question: The fourth proportional to 5, 8, 15 is:
Choices:
24
18
19
20
Answer: A
Question: Two ants, Arthur and Lily, have discovered a picnic and are bringing crumbs back to the anthill. Lily makes twice as many trips and carries one and a half times as many crumbs per trip as Arthur. If Arthur carries a total of a crumbs to the anthill, how many crumbs will Lily bring to the anthill, in terms of a?
Choices:
a
3a/2
2a
3a
Answer: D
Question: What will come in place of (a) in the following expression?
a - 996.21 + 498.05 = 215.50 – 425.01
Choices:
888.6
888.67
83.65
288.65
Answer: D
Question: The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
Choices:
2 : 5
3 : 5
4 : 5
None of these
Answer: A
Question: In how many different ways can 3 identical bowls of beef ramen noodles and 3 identical bowls of pork ramen noodles be distributed among 6 women such that each woman receives a bowl?
Choices:
4011
94
151
20
Answer: D
Question: Ages of two persons differ by 16 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age
Choices:
30
66
55
44
Answer: A
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.5 sec
5 sec
12.5 sec
6 sec
Answer: A
Question: Richard will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible?
Choices:
5
9
24
26
Answer: A
Question: The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area?
A. 27.5%
Choices:
1 1/6
1 1/8
1 1/1
1 1/4
Answer: A
Question: Solve the equation for x : 19(x + y) + 17 = 19(-x + y) - 21?
Choices:
-1
8
3
2
Answer: A
Question: A chemist mixes one liter of pure water with x liters of a 45% salt solution, and the resulting mixture is a 15% salt solution. What is the value of x?
Choices:
1/3
1/2
1
3
Answer: B
Question: At Joes Steakhouse the hourly wage for a chef is 22% 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
$3.315
$4.40
$5.40
Answer: B
Question: An art gallery has only paintings and sculptures. Currently, 1/3 of the pieces of art are displayed, and 1/6 of the pieces on display are sculptures. If 1/3 of the pieces not on display are paintings, and 1400 sculptures are not on display, how many pieces of art does the gallery have?
Choices:
3150
540
640
720
Answer: A
Question: If x and y are positive odd integers, then which of the following must also be an odd integer? I. x^(y+2) II. x(y+4) III. (y+1)^(x-1) + 1
Choices:
II only
III only
I,III only
All options are applicable
Answer: D
Question: Among a group of 2500 people, 35 percent invest in municipal bonds, 18 percent invest in oil stocks, and 7 percent invest in both municipal bonds and oil stocks. If 1 person is to be randomly selected from 2500 people, what is the probability that the person selected will be one who invests in municipal bonds but not in oil stocks
Choices:
7/25
7/23
7/22
7/21
Answer: A
Question: The overall age of X and Y is 15 year greater than the overall age of Y and Z. Z is how many decades younger that X?
Choices:
15
12
17
19
Answer: A
Question: In a party attended by 11 persons, each clinch their glass with every other. How many glass clinches?
Choices:
52
53
54
55
Answer: D
Question: The 280 students in a group are to be seated in rows so that there is an equal number of students in each row. Each of the following could be the number of rows EXCEPT
Choices:
20
30
40
70
Answer: B
Question: How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?
Choices:
72
55
82
62
Answer: B
Question: A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
189 m
120 m
178 m
188 m
Answer: B
Question: A lawn has equally distributed grass. It takes 24 days to 70 cows and 60 days to 30 cows to eat the whole of grass. How many cows will be needed to eat the grass in 96 days.
Choices:
20
40
50
60
Answer: A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?
Choices:
22
36
12
26
Answer: B
Question: The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
Choices:
2:5
2:1
2:4
2:2
Answer: A
Question: A completes a work in 12 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be ?
Choices:
8 days
18 days
28 days
30 days
Answer: A
Question: The citizens of planet nigiet are 5 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 5) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings? Express result in terms of base 10.
Choices:
64
75
85
100
Answer: B
Question: If a and b are positive even integers, and the least common multiple of a and b is expressed as a*b/t, which of the following statements could be false?
Choices:
(a*b)/n < ab
ab is multiple of 2.
(a*b)/n is a multiple of 2.
t is a multiple of 4.
Answer: D
Question: If s, t, and p are positive numbers such that (s/(s+t))(10) + (t/(s+t))(20)=p and if s<t which of the following could be the value of p?
Choices:
12
15
18
30
Answer: C
Question: From a well shuffled deck of cards, what would be the probability that you would draw a two or a spade?
Choices:
4 in 10
4 in 13
4 in 8
4 in 16
Answer: B
Question: What is the minimum percentage increase in the mean of set S {-4, -1, 0, 6, 9} if its two smallest elements are replaced with two different primes?
Choices:
50%
75%
100%
200%
Answer: C
Question: In measuring the sides of a rectangle, one side is taken 5% in excess, and the other 4% in deficit. Find the error percent in the area calculated from these measurements.
Choices:
0.7%
0.4%
0.6%
0.8%
Answer: D
Question: Of the goose eggs laid at a certain pond, 1/2 hatched and 3/4 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:
800
880
920
960
Answer: A
Question: In a fuel station the service costs $2.10 per vehicle and every liter of fuel costs $0.60. Assuming that you fill up 3 mini-vans and 2 trucks, what will be the total cost, if a mini-van's tank is 65 liters and a truck's tank is 120% bigger and they are all empty?
Choices:
$290.40
$293.30
$296.20
$299.10
Answer: D
Question: If x + (1/x) = 5, what is the value Q of x^2 + (1/x)^2?
Choices:
Q=22
Q=23
24
27
Answer: B
Question: For how many unique pairs of nonnegative integers {a, b} is the equation a^2 - b^2 = 25 true?
Choices:
3
5
2
9
Answer: C
Question: Find a 8 digit number that if multiplied by the number 9 or any of its multiplications products (18, 27, 36, 45,..) will result in the multiplication factor repeated (n) number of times.
Choices:
12345679
10000000
99999999
11111111
Answer: A
Question: 25 people went to a hotel for combine dinner party 15 of them spent Rs. 5 each on their dinner and rest spent 4 more than the average expenditure of all the 25. What was the total money spent by them.
Choices:
1534
1492
158.25
None of these
Answer: C
Question: In how many ways can the letters of the word CODD be arranged?
Choices:
16
12
13
10
Answer: B
Question: {1/(5-√24)}^2 =
Choices:
b. 31- 10√15
c. 49 - 10√24
d. 32- 4√15
e. 32 + 4√15
Answer: B
Question: A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
100 m
120 m
140 m
150 m
Answer: B
Question: A pump can fill a tank with water in 8 hours. Because of a leak, it took 9 hours to fill the tank. The leak can drain all the water in ?
Choices:
16hr 20min
17hr 30min
72hr
14hr 25min
Answer: C
Question: Of the integers between 200 and 799, inclusive, how many do not have digit 2 and 5?
Choices:
256
410
426
520
Answer: A
Question: In a class of 50 students, 20 play Rugby, 15 play Cricket and 11 play Football. 7 play both Rugby and Cricket, 4 play Cricket and Football and 5 play Rugby and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?
Choices:
667
45
24
10
Answer: D
Question: A fill pipe can fill 2/5 of cistern in 30 minutes in how many minutes, it can fill 4/5 of the cistern?
Choices:
63 min
25 min
30 min
60 min
Answer: D
Question: Find the ones digit of 73^355
Choices:
5
6
7
9
Answer: C
Question: The ratio of radius of a circle and the side of a square is 2 : 5. Find the ratio of their areas:
Choices:
4 : 25
8 : 77
4 : 121
None
Answer: A
Question: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?
Choices:
10 months
9 months
11 months
13 months
Answer: A
Question: A can do a job in 15days and B in 20days. If they work on it together for 3 days, then the fraction of the work that is left is?
Choices:
8/15
13/20
1/12
6/13
Answer: B
Question: In a certain company, a third of the workers do not have a retirement plan.60% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 120 of the workers of that company are men, how many of the workers are women?
Choices:
95
180
120
210
Answer: B
Question: There are two concentric circles with radii 8 and 4. If the radius of the outer circle is increased by 25% and the radius of the inner circle decreased by 25%, by what percent does the area between the circles increase?
Choices:
80
85
90
95
Answer: C
Question: You and your friend spent a total of $15 for lunch. Your friend spent $1 more than you. How much did your friend spend on their lunch?
Choices:
$8
$4
$6
$5
Answer: A
Question: There is a 100 pound watermelon laying out in the sun. 99 percent of the watermelon's weight is water. After laying out for a few hours 98 percent of the watermelon's weight is water.
How much water evaporated?
Choices:
30
40
50
10
Answer: C
Question: 5 identical snow plows can clear an iced parking lot in 4 hours. How long would it take 6 such snow plows to clear the same parking lot?
Choices:
3 hour, 10 minutes
3 hours
7 hours, 30 minutes
10 hourss
Answer: A
Question: In a class of 210 students, 70 did not opt for math. 55 did not opt for science and 42 did not opt for either. How many students of the class opted for both math and science?
Choices:
125
127
137
148
Answer: B
Question: A boy is playing with a wheel of 16 inches diameter rotating at x inches/min. Another boy is playing with a wheel of 32 inches diameter moving at the rate of y inches/min. Fin the value of x in terms of y if both the wheels cover the distance at same time.
Choices:
3y/7
4y/8
2y/10
1y/2
Answer: D
Question: A departmental store charges the commission of 15 percent on the first sale of items worth $50,000 and then an additional 10 percent on any sale price that exceeds the initial $50,000. If the department store earned $26,000 in commissions for the sale of a series of diamonds, what was the sale price of the diamond set?
Choices:
$235,000
$115,000
$240,000
$160,000
Answer: A
Question: 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day should 4 pumps work in order to empty the tank in 1 day?
Choices:
12
8
15
18
Answer: A
Question: A set of numbers has the property that for any number t in the set,t+4 is in the set. If -3 is in the set, which of the following must also be in the set? I. 9 II. 2 III. 4
Choices:
I only
I,III only
II only
III only
Answer: A
Question: If k > 0, x + 2k = y, and y + 4k = z, what is the ratio between z - x and y - x ?
Choices:
1 to 2
2 to 1
3 to 1
4 to 1
Answer: C
Question: When a=4+(3/4) and b=4-(3/4), (2^a^2)/(2^b^2)=?
Choices:
486
4096
456
426
Answer: B
Question: What is the remainder when you divide 2^200+2 by 7?
Choices:
2
3
6
5
Answer: C
Question: A part of certain sum of money is invested at 9% per annum and the rest at 12% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
Choices:
4:2
4:3
4:9
4:1
Answer: B
Question: In a group of pigs and hens, the number of legs are 22 more than twice the number of heads. The number of pigs is
Choices:
7
10
12
11
Answer: D
Question: Laura can paint 1/x of a certain room in 20 minutes. What fraction Q of the same room can Joseph paint in 20 minutes if the two of them can paint the room in an hour, working together at their respective rates?
Choices:
3x/(x-3)
(x – 3)/(3x)
x/(x-3)
(x-3)/x
Answer: B
Question: Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.2120?
Choices:
Rs.1100.95
Rs.1892.85
Rs.1050.85
Rs.1200.25
Answer: B
Question: The diagonal of a rhombus are 65 m and 60 m. Its area is:
Choices:
1950
1960
1990
1980
Answer: A
Question: If 7a = 8b and ab ≠0, what is the ratio of a/8 to b/7?
Choices:
8/7
1
7/8
64/49
Answer: B
Question: There are 35 students in a hostel. If the no. of students increases by 4, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess?
Choices:
s. 99.75
s. 72.75
s. 58.75
s. 49.75
Answer: A
Question: A total of 520 players participated in a single tennis knock out tournament. What is the total number of matches played in the tournament? (Knockout means if a player loses, he is out of the tournament). No match ends in a tie.
Choices:
519
256
255
1023
Answer: A
Question: A number when divided by 342 gives a remainder 38, what remainder will be obtained by dividing the same number 21?
Choices:
6
9
2
3
Answer: C
Question: A policeman spotted a criminal from a distance of 200 metres. When the policeman starts the chase, the criminal also starts running. If the criminal was running at 10 km/hr and the policeman was chasing at the speed of 12 km/hr, find the distance the criminal will run before he is catched by the policeman ?
Choices:
700 m
900 m
1 km
None of these
Answer: C
Question: Gokul had 100 currency notes in all, some of which are of Rs 60 denomination and the remaining of Rs 50 denomination. The total amount of all these currency notes was Rs. 5000. How much amount (in Rs) did he have in the denomination of Rs 50?
Choices:
95
106
100
105
Answer: C
Question: A departmental store has 9 managers and 18 associates. The 9 managers have an average salary of $1300. The 18 associates have an average salary of $12,000. What is the average salary for the departmental store?
Choices:
$3988.89
$3836.56
$3745.56
$3428.56
Answer: A
Question: The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Choices:
56
18
25
23
Answer: A
Question: A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:
Choices:
6
5
4
3
Answer: B
Question: Working together, 7 identical pumps can empty a pool in 4 hours. How many hours will it take 5 pumps to empty the same pool?
Choices:
9 1/4
9 1/3
9 3/4
5 3/5
Answer: D
Question: How many words can be formed by using all letters of the word ‘JUPITER’ ?
Choices:
3640
4420
5040
5680
Answer: C
Question: A cistern which could be filled in 5 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it?
Choices:
99 hrs
55 hrs
90 hrs
10 hrs
Answer: D
Question: The difference between 3/5 of 2/3 of a number and 2/5 of 1/4 of the same number is 288. What is the number?
Choices:
960
895
955
975
Answer: A
Question: A school having three classes only have student strength of 40, 20 and 40 respectively. The pass percentages of these classes are 20%, 30% and 100% respectively. What is the pass percentage for the entire school?
Choices:
54%
34%
66%
46%
Answer: A
Question: There is a total of 90 marbles in a box, each of which is red, green, blue, or white. If one marble is drawn from the box at random, the probability that it will be white is 1/6 and the probability that it will be green is 1/5. What is the probability that the marble will be either red or blue?
Choices:
7/15
11/15
19/30
23/30
Answer: C
Question: Aarti can do a piece of work in 5 days. In how many days will she complete three time of work of same type?
Choices:
18 days
21 days
3 days
15 days
Answer: D
Question: Tough and Tricky questions: Word Problems.
ABZ Car Company wants to manufacture a new car known as Model X, and it is trying to determine how many cars it needs to sell in order to make an annual profit of $30,500,000. The annual fixed costs for Model X total $50,200,000. In addition, each Model X car has an average cost of $5,000 per vehicle to manufacture. If the Company forecasts it will sell 20,000 Model X cars this year, at what price must the Company sell the car to achieve the desired annual profit?
Choices:
$4,036
$9,035
$16,140
$36,140
Answer: B
Question: The sum of the present ages of a father and his son is 47 years. Six years ago, father's age was four times the age of the son. After 6 years, son's age will be:
Choices:
15
17
19
21
Answer: C
Question: A pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer’s suggested retail price. If during a sale, the store discounts an additional 20 percent from the discount price, what would be the lowest possible price of a container of pet food that had a manufacturer’s suggested retail price o f $ 20.00?
Choices:
$ 11.20
$ 14.40
$ 16.00
$ 18.00
Answer: A
Question: Population of a city decreases by 10% at the end of first year and increases by 10% at the end of second year and again decreases by 10% at the end of third year. If the population of the city at the end of third year is 4455, then what was the population of the city at the beginning of the first year?
Choices:
5,000
4,950
1,000
2,000
Answer: A
Question: If N = 2^0.15 and N^b = 8, b must equal
Choices:
3/5
20
5/3
80/3
Answer: B
Question: A solution of X pounds of water and sugar is boiled until 20% of the water content evaporates. Originally p% of sugar was present in the solution. After evaporation, what percentage of the solution is sugar?
Choices:
80p/(1-p)
75p/(1-p)
100p/(80-0.2p)
100p/(80+0.2p)
Answer: D
Question: An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases?
Choices:
8:7
8:2
8:3
8:1
Answer: A
Question: There is 60 lit of milk and water in which milk forms 84%.Howmuch water must be added to this solution to make it solution in which milk forms 64%
Choices:
18.75
20.75
21.75
22.75
Answer: A
Question: 270 candidates appeared for an examination, of which 252 passed. The pass percentage is :
Choices:
(93 + 1/3 )%
(93 + 9/3 )%
(94 + 9/3 )%
(43 + 1/3 )%
Answer: A
Question: In an examination 80% pass in english, 70%pass in maths , 10%fail in both ,
144 pass in both . How many all appeared to the test?
Choices:
240
370
120
150
Answer: A
Question: A taxi charges p dollars for the first two miles and c cents per quarter mile for every mile after the first two. Which equation describes cost of a taxi ride of n miles in dollars.
Choices:
cp + 4n-8/200
p + (4cn-8c)/100
p + 100cn/4
4cp(n-2) – 100
Answer: B
Question: How many words can be formed from the letters of the word ‘DIRECTOR’
So that the vowels are always together?
Choices:
2630
4702
2160
1205
Answer: C
Question: Five persons having ages in ascending order with exact difference of 5 years, decided to donate for a charity ,an amount equal to fifty times of their ages. The total donation was Rs 8750.Find the ages of five persons ?
Choices:
32
33
34
35
Answer: D
Question: If the sides of two cubes are in the ratio 3: 1 the ratio of their total surface area is?
Choices:
8:1
9:1
12:1
9:1
Answer: B
Question: A bag is filled with pennies and nickels in the ratio of 2 to 1. There are 10 nickles in the bag, how many coins are there in that bag?
Choices:
30
65
70
80
Answer: A
Question: On rainy mornings, Mo drinks exactly N cups of hot chocolate (assume that N is an integer). On mornings that are not rainy, Mo drinks exactly 3 cups of tea. Last week Mo drank a total of 26 cups of tea and hot chocolate together. If during that week Mo drank 10 more tea cups than hot chocolate cups, then how many rainy days were there last week?
Choices:
1
4
5
6
Answer: A
Question: There are 5 orators A, B, C, D, E. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.
Choices:
5! / 3!
5! x 3!
8! / (5! x 3!)
8! / (5! x 4!)
Answer: A
Question: A sum of money amounts to Rs. 9800 after 5 years and Rs. 12015 after 8 years at the same rate of simple interest. The rate of interest per annum is?
Choices:
12.05%
13.05%
22.05%
18.05%
Answer: A
Question: If the two hands in a clock are 11 minutes divisions apart,then the angle between them is
Choices:
66Â°
24Â°
60Â°
None of these
Answer: A
Question: Let's say in a lottery Samuel have a 4% chance of winning the jackpot.
All lined up and 1st four people on the line lose. Samuel is 5th in the row.
What's the chance of Samuel winning now?
Choices:
3%
4%
5%
6%
Answer: B
Question: One out of every 3000 computer chips is defective. If 2 out of every 30 defective chips have defective processors and there are 30 defective processors in the first batch, how many computer chips are there in the first batch?
Choices:
900
90,000
1350,000
900,000
Answer: C
Question: 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Choices:
12
10
13
15
Answer: C
Question: Bookman purchased 55 copies of a new book released recently, 10 of which are hardback and sold for $20 each, and rest are paperback and sold for $10 each. If 14 copies were sold and the total value of the remaining books was 360, how many paperback copies were sold?
Choices:
10
12
19
16
Answer: C
Question: 20 men can cut 30 trees in 4 hours. If 4men leave the job, how many trees will be cut in 6 hours?
Choices:
36
48
22
32
Answer: A
Question: The center of a circle lies on the origin of the coordinate plane. If a point (x, y) is randomly selected inside of the circle, what is the probability that y > x or x < 0?
Choices:
5/8
3/8
1/2
3/4
Answer: A
Question: A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent J of the distribution is less than m +d ?
Choices:
32%
48%
84%
92%
Answer: C
Question: In Township K each property is taxed at 8 percent of its assessed value. If the assessed value of a property in Township K is increased from $180,000 to $24,000, by how much will the property tax increase?
Choices:
$50
$480
$400
$500
Answer: B
Question: 10^(655) Ã· 10^(650) = ?
Choices:
10
10000
100000
1000000
Answer: C
Question: 1904 x 1904 =?
Choices:
3632646
3625216
3623436
None of them
Answer: B
Question: Two trains travelling in the same direction at 72 and 36 kmph completely pass off another in 1 minute. If the length of the first train is 250 m, what is the length of the second train?
Choices:
350
175
99
171
Answer: A
Question: The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?
Choices:
3000
2400
5000
7000
Answer: B
Question: Arun and Tarun can do a work in 10 days.After 4 days tarun went to his village.How many days are required to complete the remaining work by Arun alone.Arun can do the work alone in 60 days.
Choices:
36 days.
18 days.
19 days.
20 days.
Answer: A
Question: Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is
Choices:
Rs 412
Rs 400
Rs 129
Rs 122
Answer: B
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 100 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
Choices:
30 km/hr.
34 km/hr.
35 km/hr.
36 km/hr.
Answer: A
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of A is?
Choices:
s.28000
s.28003
s.28029
s.24029
Answer: A
Question: 20, 22, 26, 34, 41, 46, 56, 67, __?
Choices:
80
88
68
78
Answer: A
Question: If -1<x<0, what is the median J of these six numbers listed below
1/x^3,1/x^2, 1/x,x, x^2,x^3
Choices:
x^2
x^2(x+1)/2
J=x(x^2+1)/2
x^2/2x
Answer: C
Question: Two trains of length 100 meters and 200 meters are 140 meters apart. They are moving towards each other on parallel tracks, at speeds of 54 km/h and 72 km/h. After how many seconds will the trains meet?
Choices:
4
6
8
10
Answer: A
Question: A train is moving at a speed of 60km/hr and its length is 500m. Find the time taken by it to pass a man standing near the railway line?
Choices:
30sec
36sec
29sec
52sec
Answer: A
Question: In a company with 48 employees, some part-time and some full-time, exactly (1/3) of the part-time employees and (1/4) of the full-time employees take the subway to work. What is the greatest possible number Y of employees who take the subway to work?
Choices:
13
14
15
16
Answer: C
Question: The ratio of cats to dogs to birds to fish is 7:8:9:10. There are no other types of animals in the pet store.which of the following cannot be the total number of animals in the store?
Choices:
102
136
170
210
Answer: D
Question: A students was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in place of x?
Choices:
7
17
31
10
Answer: A
Question: Excluding stoppages, the speed of a train is 42 kmph and including stoppages it is 27 kmph. Of how many minutes does the train stop per hour?
Choices:
B)20.42
C)21.42
D)22.42
E)23.42
Answer: B
Question: Boxes numbered 1, 2, 3, 4 and 5 are kept in a row and they which are to be filled with either a red or a blue ball, such that no two adjacent boxes can be filled with blue balls. Then, how many different arrangements are possible, given that all balls of a given colour are exactly identical in all respects ?
Choices:
10
15
22
25
Answer: C
Question: Ajay spends 25 per cent of his salary on house rent, 5 percent on food, 10 percent travel, 10 percent on clothes and the remaining amount of Rs.32000 is saved. What is Ajayâ€™s income?
Choices:
Rs.80500
Rs.64000
Rs.70500
None of these
Answer: B
Question: A train 850 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
450
500
520
589
Answer: A
Question: Today is Monday. After 61 days, it will be:
Choices:
Saturday
Friday
Thursday
Wednesday
Answer: A
Question: If n is a 18-digit positive integer, all of whose digits are the same, which of the following must be true?
I. n is divisible by 3
II. n is divisible by 9
III. n is divisible by 18
Choices:
I , II and III only
I and III only
II and III only
II
Answer: A
Question: A train is moving at a speed of 120km/hr and its length is 500m. Find the time taken by it to pass a man standing near the railway line?
Choices:
45sec
15sec
29sec
52sec
Answer: B
Question: Each writer for the local newspaper is paid as follows: a dollars for each of the first x stories each month, and a + b dollars for each story thereafter, where a > b. How many more dollars will a writer who submits x+ a stories in a month earn than a writer who submits x+ b stories?
Choices:
a – b
a^2 – b^2
x( a – b)
ax + bx – ax
Answer: B
Question: An seller earns an income of Re 1 on the first day of his business. On every subsequent day, he earns an income which is just thrice of that made on the previous day. On the 20th day of business, he earns an income of:
Choices:
57
35
20
30
Answer: A
Question: In a lottery, there are 10 prizes and 15 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Choices:
2/5
2/7
5/7
None
Answer: A
Question: If a man crosses a 600 m long street in 5 minutes. What is his speed?
Choices:
6.5 km/hr
7.2 km/hr
8.9 km/hr
9.8 km/hr
Answer: B
Question: If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?
Choices:
1234
1452
1356
1365
Answer: D
Question: The U.S. Defense Department has decided that the Pentagon is an obsolete building and that it must be replaced with an upgraded version: the Hexagon. The Secretary of Defense wants a building that is exactly 70 feet high and 200 feet on a side, and that has a hexagonal bull's-eye cutout in the center (somewhat like the current one) that is 40 feet on a side. What will be the volume of the new building in cubic feet?
Choices:
6,983,629 cubic feet
11550√3 cubic feet
15,750√3 cubic feet
3,937,500√3 cubic feet
Answer: A
Question: If e is a positive integer, Which of the following options must be divisible by 2?
Choices:
(e−1)*e*(e+1)
e^2*(e−5)
(e^2−2)
e(e+2)^3
Answer: A
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 22 overs to reach the target of 282 runs?
Choices:
11.36
7.4
5
6
Answer: A
Question: Simple interest on a sum at 5% per annum for 2 years is Rs.120. The C.I. on the same sum for the same period is?
Choices:
81.9
121.5
121.3
121.1
Answer: B
Question: Evaluate: 11110 + 24*3*10 = ?
Choices:
52631
11190
65321
11133
Answer: B
Question: A car moves at 64 km/hr. What is the speed of the car in meters per second ?
Choices:
17 2/9m sec
18 2/9m sec
19 2/9m sec
28 2/9m sec
Answer: A
Question: In an election between two candidates first candidate got 30% of votes polled and second Candidate got 2800 votes. The total number of votes polled was?
Choices:
4000 votes
4900 votes
4980 votes
4990 votes
Answer: A
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:
55 sec
48 sec
33 sec
12 sec
Answer: B
Question: Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car
Choices:
960 km
906 km
906 m
950 m
Answer: A
Question: If k and w are the dimensions of a rectangle that has area 40, and if k and w are integers such that k > w, what is the total number of possible values of k?
Choices:
Three
Four
Five
Six
Answer: B
Question: A and B can do a piece of work in 6 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?
Choices:
19.5 days
17.5 days
16.5 days
30 days
Answer: D
Question: Randy can rebuild an automobile engine in a hours. Alvin can rebuild the same engine in b hours. If Randy and Alvin work together at their respective rates to rebuild the engine, which of the following represents the portion of the job that Randy will not have to complete?
Choices:
(a-b)/(a+b)
b/(b-a)
a/(a+b)
b/(a+b)
Answer: C
Question: Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:
Choices:
4
6
7
8
Answer: A
Question: The sum of two numbers is 25 and their difference is 13. Find their product?
Choices:
114
315
325
335
Answer: A
Question: A person takes 20 minutes more to cover a certain distance by decreasing his speed by 20%. What is the time taken to cover the distance at his original speed?
Choices:
1 hour 38 minutes
1 hour 20 minutes
1 hour 44 minutes
2 hour 20 minutes
Answer: B
Question: Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical staff were to be reduced by 1/2, what percent of the total number of the remaining employees would then be clerical?
Choices:
22.2%
20%
12.5%
11.1%
Answer: B
Question: Find the odd man out. 445, 221, 109, 46, 25, 11, 4
Choices:
109
46
221
None of these
Answer: B
Question: A trader bought a car at 20% discount on its original price. He sold it at a 60% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
28%
12%
82%
16%
Answer: A
Question: A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?
Choices:
37.2
37.1
37.82
37.8
Answer: D
Question: A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
Choices:
5760
5788
5768
5769
Answer: A
Question: Find the average of all prime numbers between 4 and 15.
Choices:
4
9
8
None
Answer: B
Question: A sports equipment store sold ping pong rackets for a total of $588. If the average (arithmetic mean) price of a pair of rackets is $9.8, how many pairs were sold?
Choices:
60
490
500
980
Answer: A
Question: A man drives at a speed of 40 miles/hr. His wife left 30 mins. late with 50 miles/hr speed. when will they meet ?
Choices:
2 hours
3 hours
4 hours
5 hours
Answer: A
Question: Of the 800 employees of Company X, 20 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 10 percent ?
Choices:
88.88
112
80
56
Answer: A
Question: Find the odd number
Choices:
17
3
14
12
Answer: C
Question: Rs.590 is divided amongst A, B, C so that 5 times A's share, six times B's share and eight times C's share are all equal. Find C's share?
Choices:
Rs.150
Rs.117
Rs.119
Rs.127
Answer: A
Question: In a group of 28 junior high school students, 7 take French, 9 take Spanish, and 4 take both languages. The students taking both French and Spanish are not counted with the 7 taking French or the 10 taking Spanish. How many students are not taking either French or Spanish?
Choices:
6
9
4
8
Answer: D
Question: A number is doubled and 9 is added. If resultant is trebled, it becomes 81. What is that number
Choices:
9
12
14
15
Answer: A
Question: If 3 machines can build a car in 12 hours, how fast can 4 machines do it?
Choices:
9 hours
8 hours
7 hours
11 hours
Answer: A
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?
Choices:
27 7/9m
33 m
23 4/9 m
25 m
Answer: A
Question: A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Choices:
Rs.270
Rs.215
Rs.380
Rs.315
Answer: A
Question: A student completes a 3 part exam as follows. The student completes section A in 10 minutes and takes an equal time to complete the two remaining sections. What is the ratio of time spent on section C to section A if the total duration is 1 hour?
Choices:
5:2
4:3
3:2
2:1
Answer: A
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?
Choices:
80/7 sec
30/7 sec
80/8 sec
81/7 sec
Answer: A
Question: 10 Arabian horses are split into pairs to pull one of the distinct 4 carts in a race. If each cart is assigned to a pair, how many different assignments of horses to carts are possible?
Choices:
1260
5220
9450
113400
Answer: D
Question: The side of a square is increased by 25% then how much % does its area increases?
Choices:
56.25 %
56.29 %
57.25 %
56.55 %
Answer: A
Question: If the population of a certain country increases at the rate of one person every 15 seconds, by how many persons does the population increase in 1 hour?
Choices:
120
150
180
240
Answer: D
Question: A first grade teacher uses ten flash cards, each numbered from 1 to10, to teach her students to order numbers correctly. She has students choose four flash cards randomly, then arrange the cards in ascending order. One day, she removes the cards '1' and '4' from the deck. On that day, how many different correct arrangements of four randomly selected cards are possible?
Choices:
60
50
70
80
Answer: C
Question: 3,8,18,38,78,__
Choices:
158
154
150
148
Answer: A
Question: Two pipes A and B can separately fill a cistern in 60 minutes and 80 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 40 minutes. In how much time, the third pipe alone can empty the cistern?
Choices:
100 min
240 min
120 min
130 min
Answer: B
Question: In the decimal expansion of 23912/33333 ,what is the 98th digit to the right of the decimal.
Choices:
2
3
6
7
Answer: D
Question: Find the surface area of a cuboid 16 m long, 8 m broad and 7 m high
Choices:
920 sq.cm
727 sq.cm
832 sq.cm
None of these
Answer: C
Question: what is the smallest integer that is multiple of 7, 9 and 20
Choices:
180
130
1260
1420
Answer: C
Question: Mariah has decided to hire three workers. To determine whom she will hire, she has selected a group of 14 candidates. She plans to have one working interview with 3 of the 14 candidates every day to see how well they work together. How many days will it take her to have working interviews with all the different combinations of job candidates?
Choices:
120
300
30
333
Answer: D
Question: complete the series..
2 2 12 12 30 30 ?
Choices:
53
54
55
56
Answer: D
Question: The value of a scooter depreciates in such a way that its value of the end of each year is 3/4 of its value of the beginning of the same year. If the initial value of the scooter is Rs.40,000, what is the value at the end of 4 years ?
Choices:
2977
12656
6077
17112
Answer: B
Question: A bus leaves Burbank at 9:00 a.m. traveling east at 50 miles per hour. At 1:00 p.m. a plane leaves Burbank traveling east at 300 miles per hour. At what time will the plane overtake the bus?
Choices:
1:10 p.m
1:40 p.m
1:48 p.m
1:55 p.m
Answer: C
Question: If log 27 = 1.431, then the value of log 9 is:
Choices:
0.945
0.954
0.958
0.998
Answer: B
Question: A, B and C are pipes attached to a cistern. A and B can fill it in 10 and 15 minutes respectively, While C can empty it in 20 minutes. If A, B and C be kept open successively for one minute each, find the last integral number of minutes required for the cistern to get filled
Choices:
24 min 40 sec.
24 min 20 sec.
24 min 10 sec.
24 min 50 sec.
Answer: A
Question: In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
Choices:
24
25
96
28
Answer: B
Question: There are 12 points marked on the circumference of a circle. How many hexagons can be formed by connecting 6 points of the 12 points?
Choices:
912
916
920
924
Answer: D
Question: A man invests in a 16% stock at 128. The interest obtained by him is :
Choices:
92.5%
12.5%
12.6%
12.7%
Answer: B
Question: What approximate value will come in place of the question mark(?) in the following equation?
2070.50 ÷ 15.004 + 39.001 × (4.999)2 = ?
Choices:
997
1049
1213
1113
Answer: D
Question: How many multiples of 7 are there between 9 and 89, 9 and 89 inclusive ?
Choices:
11
16
13
12
Answer: A
Question: 33 1/3% OF 330?
Choices:
90
110
120
130
Answer: B
Question: A straight line in the xy-plane has a slope of 2 and a y-intercept of 2. On this line, what is the x-coordinate of the point whose y-coordinate is 998 ?
Choices:
498
676
823
1,002
Answer: A
Question: How many distinct integer values of n satisfy the inequality||n-3| + 4| ≤ 11?
Choices:
16
17
8
19
Answer: C
Question: In a soccer bet,we play 4 teams.first team odd 1.27,second 5.23,third 3.25,fourth 2.05.we place the bet with 5.00 euros.
how much money we expect to win?
Choices:
221.26
235.01
266.74
669.0
Answer: A
Question: The length of rectangle is thrice its breadth and its perimeter is 112 m, find the area of the rectangle?
Choices:
356 sq m
452 sq m
588 sq m
525 sq m
Answer: C
Question: The length of a rectangle is halved, while its breadth is tripled. Whatis the % change in area?
Choices:
40%
50percent
60%
70%
Answer: B
Question: The diameter of a cylindrical tin is 14cm and height is 5 cm. Find the volume of the cylinder?
Choices:
141
66
245
21
Answer: C
Question: List I: { y, 2, 4, 7, 10, 11}
List II: {3, 3, 4, 6, 7, 10}
If the median E of List I is equal to the sum of the median of list II and the mode of list II, then y equals
Choices:
7
8
E=9
10
Answer: C
Question: In a Express Train passengers traveling in A.C. Sleeper Class, First Class and Sleeper Class are in the ratio 1:2:3, and fare to each class in the ratio 5:4:2. If the income from this train is Rs. 57000, the income of A.C. Sleeper Class is
Choices:
Rs. 12000
Rs. 15000
Rs. 6000
None
Answer: B
Question: A shopkeeper marks up the price of his goods by 20% and gives a discount of 10% to the customer. He also uses a 900g weight instead of 1Kg weight. Find his profit percentage.
Choices:
12%
20%
30%
None of these
Answer: B
Question: What is the difference between the largest and the smallest number written with 7, 7, 0, 7?
Choices:
628
987
693
281
Answer: C