antoine-444/aqua_rat_dataset huggingface dataset:
Question: The sum of the first 30 positive even integers is 930. What is the sum of the first 30 odd integers?
Choices:
900
960
975
980
Answer: A
Question: If a(a + 7) = 60 and b(b + 7) = 60, where a ≠ b, then a + b =
Choices:
−7
2
46
48
Answer: A
Question: There is a 50% chance Jen will visit Chile this year, while there is a 50% chance that she will visit Madagascar this year. What is the probability that Jen will visit either Chile or Madagascar this year, but NOT both?
Choices:
50.0%
62.5%
75.0%
80.0%
Answer: A
Question: Find the remainder when the polynomial x4 - 3x2 + 7x - 10 is divided by (x - 2).
Choices:
8
18
0
None
Answer: A
Question: Robert invests $120,000 in an account that pays 12% annual interest: the interest is paid once, at the end of the year. Jody invests $120,000 in an account that pays 12% annual interest, compounding monthly at the end of each month. At the end of one full year, compared to Robert's account, approximately how much more does Jody’s account have?
Choices:
$81.90
$819.00
$8190.03
$81900.30
Answer: B
Question: What two-digit number is less than the sum of the square of its digits by 15 and exceeds their doubled product by 5?
Choices:
99
26
73
None of the Above
Answer: C
Question: The wages of 24 men and 16 women amount to 11600 per day. Half the number of men and 37 women has same money. The daily wages paid to each man is
Choices:
350
31887
2797
911
Answer: A
Question: If x/4 years ago Roger was 14 years old and x/4 years from now he will be 4x years old, how old will he be 3x years from now?
Choices:
35
30
40
27
Answer: D
Question: 1397 x 1397 = ?
Choices:
1951500
1951509
1951511
1951609
Answer: D
Question: If n is an integer from 1 to 96 (inclusive), what is the probability for n*(n+1)*(n+2) being divisible by 8?
Choices:
25%
62.5%
72.5%
75%
Answer: A
Question: 36 workers can reap a field in 6 days. If the work is to be completed in 4 days, the extra workers required are
Choices:
25
18
15
16
Answer: B
Question: Ten years ago, P was half of Q's age. If the ratio of their present ages is3:4, what will be the total of their present ages?
Choices:
40
35
30
25
Answer: B
Question: A rectangular wall is covered entirely with two kinds of decorative tiles: regular and jumbo. 1/3 of the tiles are jumbo tiles, which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles. If regular tiles cover 60 square feet of the wall, and no tiles overlap, what is the area of the entire wall?
Choices:
240
330
440
560
Answer: B
Question: Suresh started a business with Rs.20,000. Kiran joined him after 4 months with Rs.30,000. After 2 months, Suresh withdrew Rs.5,000 of his capital and 2 more months later, Kiran brought in Rs.20,000 more. What should be the ratio in which they should share their profits at the end of the year?
Choices:
22:21
21:32
31:21
32:28
Answer: B
Question: N* is defined as 0.5(N+10) for any number N. What is N, if ((N*)*)*=15?
Choices:
30
40
50
60
Answer: C
Question: In an election between two candidates, 10% of votes are were declares invalid. First candidate got 1800 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was:
Choices:
9900
10000
11000
12000
Answer: B
Question: A man drive his car to the office at 20miles/hr.
After reaching office, he realize that its a new year holiday so he went back home at a speed of 30miles/hr.
Discounting the time spent in the stoppage what was his average speed of his journey ?
Choices:
20
25
24
29
Answer: C
Question: Pat is now 22 years older than Dan. If in 6 years Pat will be twice as old as Dan, how old will Pat be in 15 years?
Choices:
49
51
53
55
Answer: C
Question: The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is?
Choices:
278
278
480
281
Answer: C
Question: The events A and B are independent, the probability that event A occurs is greater than 0, and the probability that event A occurs is twice the probability that event B occurs. The probability that at least one of events A and B occurs is 8 times the probability that both events A and B occur. What is the probability that event A occurs?
Choices:
1/8
1/6
1/3
2/3
Answer: C
Question: Calculate the average of first 14 even numbers is?
Choices:
15
16
14
12
Answer: A
Question: A and B invests Rs.12000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.30000, find their shares?
Choices:
s.12000, Rs.15700
s.12000, Rs.15090
s.12000, Rs.15000
s.12000, Rs.18000
Answer: D
Question: If 10^(z-1)< 0.000125 <10^z, what is the value of an integer z?
Choices:
-3
-2
3
4
Answer: A
Question: If x and y are integer, which of the following must also be an integer?
I. xy
II. y
III. y/x
Choices:
II alone
III alone
I and III
None of the above
Answer: A
Question: Without any stoppage, a person travels a certain distance at an average speed of 42 km/h, and with stoppages he covers the same distance at an average speed of 28 km/h. How many minutes per hour does he stop?
Choices:
28 minutes
11 minutes
17 minutes
20 minutes
Answer: D
Question: Present ages of souju and tharak are in the ratio of 6:4 respectively. Three years hence, the ratio of their ages will become 12:9 respectively. What is tharak's present age in years?
Choices:
3 years 2 months
3 years 5 months
3 years 7 months
4 years 7 months
Answer: C
Question: What is the smallest positive integer that can be multiplied by 1,008 to make it a perfect square?
Choices:
3
5
7
11
Answer: C
Question: Of the final grades received by the students in a certain math course, 1/5 are A's, 1/4 are B's, 1/2 are C's, and the remaining 25 grades are D's. What is the number of students in the course?
Choices:
110
160
500
400
Answer: C
Question: The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is
Choices:
0.5904
0.59076
0.5907
0.59012
Answer: A
Question: There are 300 female managers in a certain company. Find the total number of female employees in the company, if 2/5 of all the employees are managers and 2/5 of all male employees are managers.
Choices:
700
750
800
None of these
Answer: B
Question: A car is running at a speed of 90 kmph. What distance will it cover in 15 second?
Choices:
255 m
375 m
Cannot be determined
None of these
Answer: B
Question: Two years ago, Claire put $2,000 into a savings account. At the end of the first year, her account had accrued $100 in interest bringing her total balance to $2,100. The next year, her account balance increased by 10%. At the end of the two years, by what percent has Claire's account balance increased from her initial deposit of $2,000 ?
Choices:
12%
15.5%
17%
20%
Answer: B
Question: A train ride from Two P to Town Q costs $6.85 more than does a bus ride from Town P to Town Q. Together, the cost of one train ride and one bus ride is $9.65. What is the cost of a bus ride from Town P to Town Q?
Choices:
$1.40
$4.10
$4.70
$8.20
Answer: A
Question: The sum of two numbers is 120. If the greater number is four times the less, what are the numbers?
Choices:
84
85
96
None
Answer: C
Question: Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 9856 sq meters.
Choices:
56
99
27
19
Answer: A
Question: Which of the following is a parallelogram?
Choices:
120,30,130,20(angle in deg)
90,90,90,90(angle in deg)
a & c
none
Answer: B
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Choices:
5.79
5.76
5.74
5.721
Answer: B
Question: What percent is 120 of 90?
Choices:
133 1/3 %
135 1/3 %
140 1/3 %
143 1/3 %
Answer: A
Question: It takes Avery 2.5 hours to build a brick wall while Tom can do it in 5 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?
Choices:
30 minutes.
1 hour and 30 minutes.
1 hour and 40 minutes
2 hours
Answer: D
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. 7 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:
345
5673
6342
4566
Answer: C
Question: Calculate the distance covered by 420 revolutions of a wheel of radius 23.1 cm.
Choices:
609.84 m
509.84 m
109.84 m
709.84 m
Answer: A
Question: Sawyer is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be peanut oil, 1/4 vinegar, and the remainder an even mixture of salt, pepper and sugar. If Sawyer accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be peanut oil?
Choices:
15/29
5/16
1/2
13/27
Answer: A
Question: A bag contains 50black pens and 60 white pens. One ball is drawn at random. What is the probability that the ball drawn is black?
Choices:
3/14
1/7
5/11
6/13
Answer: C
Question: The ratio of the area of a square to that of the square drawn on its diagonal is?
Choices:
1:2
3:5
4:6
5:7
Answer: A
Question: A committee of three people is to be chosen from 3 married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
Choices:
12
26
30
32
Answer: A
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
Choices:
125/126
1/126
8/178
9/191
Answer: A
Question: A circular mat with diameter 20 inches is placed on a square tabletop, each of whose sides is 30 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
Choices:
2/5
1/2
3/4
5/6
Answer: D
Question: If P(x) = ax^4+bx^3+cx^2+dx+e has roots at x = 1, 2, 3, 4 and P(0) = 48, what is P(5)?
Choices:
48
0
50
40
Answer: A
Question: How many keystrokes are needed to type numbers from 1 to 1000?
Choices:
3001
2704
2890
None of these
Answer: A
Question: Look at this series: V, VIII, XI, XIV, __, XX, ... What number should fill the blank?
Choices:
XXIII
XV
XVII
None
Answer: C
Question: If |x - 9| = 3x, then x=?
Choices:
3.1
4.5
-2.25
-4.5
Answer: D
Question: If two positive numbers are in the ratio 1/8 : 1/7, then by what percent is the second number more than the first?
Choices:
14.28%
60%
50%
65%
Answer: A
Question: A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 20%, he is only able to save Rs. 200 per month. What is his monthly salary?
Choices:
Rs.5000
Rs.8262
Rs.2618
Rs.5267
Answer: A
Question: How many different pairs of numbers (s, t) such that s = 3t can be obtained if s and t are selected from the set of number {3, 4, 5, 6, 7, 8, 9}
Choices:
1
3
4
5
Answer: A
Question: A warehouse is labeling computer inventory with 3-digit codes. Each code is to consist of four digits between the numbers 0 and 8. The manager is debating whether to allow any 3-digit codes to have leading zero's before a non-zero number is used. If not allowed, then numbers like0025cannot be used.
The manager wants to measure the magnitude of the number of 3-digit code possibilities that are lost if he disallows the use of leading zero's. How many such codes would be lost?
Choices:
1000
1011
1101
200
Answer: D
Question: find two integers, neither of which ends in a zero, and whose product is exactly 1,00,000
Choices:
32 and 3,125
64 and 15,620
64 and 15,635
64 and 16,625
Answer: A
Question: Calculate how many ways a woman who has 2 bags and 4 books can put the books in her bag?
Choices:
15
19
17
16
Answer: D
Question: How many points (x, y) lie on the line segment between (22, 12 2/3) and (16, 17 2/3) such that x and y are both integers?
Choices:
1
7
8
9
Answer: A
Question: When 12 is divided by the positive integer k, the remainder is 7, for how many different values of k is this true?
Choices:
3
4
7
8
Answer: B
Question: On Sunday, Bill ran 4 more miles than he ran on Saturday. Julia did not run on Saturday, but she ran twice the number of miles on Sunday that Bill ran on Sunday. If Bill and Julia ran a total of 20 miles on Saturday and Sunday, how many miles did Bill run on Sunday?
Choices:
6
7
8
9
Answer: A
Question: A worm is at the bottom of a forty foot hole. It can crawl upwards at the rate of four feet in one day, but at night, it slips back three feet. At this rate, how long will it take the worm to crawl out of the hole?
Choices:
87
37
28
921
Answer: B
Question: A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?
Choices:
833 1/3
833 1/2
833 1/9
833 1/5
Answer: A
Question: You buy a piece of land with an area of √900, how long is one side of the land plot?
Choices:
29
30
31
32
Answer: B
Question: By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Choices:
8
7
66
2
Answer: A
Question: Of the 14 members of a dancing group,10 can perform modern dancing, 8 can perform traditional dancing, and 4 can perform both type of dancing. If one member is chosen at random, what is the probability that the member chosen will be someone who can not perform neither type of dancing?
Choices:
b) 1/10
c) 1/7
d) 1/4
e) 0
Answer: D
Question: A 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removal and replacement, what is the ratio R of milk and water in the resultant mixture?
Choices:
9 : 1
3 : 17
5 : 3
11: 2
Answer: A
Question: The price of 3 pens and 6 pencils is Rs. 1500. With the same money one can buy 1 pen and 12 pencils. If one wants to buy 23 pencils, how much shall he have to pay ?
Choices:
2300
2200
2100
2000
Answer: A
Question: The letters in the word "PLACES" are permuted in all possible ways and arranged in the alphabetical order.Find the word at 48 position.
Choices:
ALCEPS
ALSCEP
AESPLC
AESPLD
Answer: C
Question: In some quantity of alcohol, 50% of pure alcohol and 30% of is water. If 20liters of pure alcohol is added, then the strength of alcohol solution becomes 20%. The original quantity was?
Choices:
1.42liters
3liters
5.6liters
7liters
Answer: A
Question: Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
Choices:
25100
25150
25200
25400
Answer: C
Question: f(x) is defined as the largest integer n such that x is divisible by 2^n. Which of the following numbers is the biggest?
Choices:
f(24)
f(62)
f(76)
f(84)
Answer: A
Question: In a certain series, each term is m greater than the previous term. If the 16th term is 660 and the 13th term is 600, what is the first term?
Choices:
180
360
300
360
Answer: B
Question: 0.40 represents what percent of 0.008?
Choices:
0.5%
5%
500%
5000%
Answer: D
Question: A 10 Liter mixture of milk and water contains 30 percent water. Two liters of this mixture is taken away. How many liters of water should now be added so that the amount of milk in the mixture is double that of water?
Choices:
3.4
0.4
4.9
3.87
Answer: B
Question: 10 friends meet for movie 20 for picnic and 5 for games 4 for movie & picnic 2 for movie & games, 0 for picnic & games, 2 for all, how many are students are there in all?
Choices:
31
32
33
34
Answer: A
Question: The circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 33 ft long. What is the distance traveled by the cart, when the front wheel has done five more revolutions than the rear wheel?
Choices:
25 ft
750 ft
900 ft
1650 ft
Answer: D
Question: 60 percent of movie theatres in Town X have 2 screens or less. 20% of those theatres sell an average of more than $300 worth of popcorn per showing. 56 percent of all the movie theatres in Town X sell $300 or less of popcorn per showing. What percent of all the stores on the street have 4 or more screens and sell an average of more than $300 worth of popcorn per day?
Choices:
18
32
40
44
Answer: C
Question: In the xy-plane, the points (c, d), (c, -d), and (-c, -d) are three vertices of a certain square. If c < 0 and d > 0, which of the following points R is in the same quadrant as the fourth vertex of the square?
Choices:
(-5, 3)
(5, -3)
(3, -5)
(3, 5)
Answer: D
Question: Solve(0.76 × 0.76 × 0.76 − 0.008)/(0.76 × 0.76 + 0.76 × 0.2 + 0.04)
Choices:
0.56
0.6
0.57
0.59
Answer: A
Question: The length of a rectangle is four times its width. If the area is 100 m2 what is the length of the rectangle?
Choices:
20
50
80
60
Answer: A
Question: How many integral divisors does the number 120 have?
Choices:
16
12
20
None of these
Answer: A
Question: The value of land increases by x% during June and decreases by y% during July. If the value of the land is the same at the end of July as at the beginning of June, what is y in terms of x?
Choices:
100x/(100+x)
x(2+x)/(1+x)2
x(200+x)/10000
2x/x+2x
Answer: A
Question: power windows: 60%
anti-lock brakes: 25%
CD player: 45%
The table above shows the number of vehicles at Bill's car dealership that have certain features. No vehicle has all three features, but 10% have power windows and anti-lock brakes, 15% have anti-lock brakes and a CD player, and 22% have power windows and a CD player. What percent of the vehicles at Bill's car dealership have a CD player but no power windows or anti-lock brakes?
Choices:
8
11
3
0
Answer: A
Question: 30 quintals is what percent of 2 metric tonnes ?
Choices:
1.5%
150%
30%
None
Answer: B
Question: Q is a set of nine distinct prime numbers. If the sum of the integers in Q is even and the number x is a member of Q, then what is the least value that x can be?
Choices:
2
4
5
7
Answer: A
Question: Three positive integers a, b, and c are such that their average is 12 and a ≤ b ≤ c. If the median is (a + 5), what is the least possible value of c?
Choices:
13
15
17
19
Answer: B
Question: A number, x is chosen at random from the set of positive integers less than 12. What is the probability that (9/x) > x?
Choices:
2/9
2/11
2/3
7/9
Answer: B
Question: The least number which should be added to 28523 so that the sum is exactly divisible by 3, 5, 7 and 8 is
Choices:
37
35
45
48
Answer: A
Question: What is the sum of all even numbers from 1 to 601?
Choices:
281228
90300
122850
128111
Answer: B
Question: The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 5300, what is the length of the plot in metres?
Choices:
200
288
276
1999
Answer: A
Question: The ratio of the number of females to males at a party was 1:2 but when 7 females and 7 males left, the ratio became 1:3. How many people were at the party originally?
Choices:
32
36
42
50
Answer: C
Question: The total cost of a vacation was divided among 3 people. If the total cost of the vacation had been divided equally among 5 people, the cost per person would have been $50 less. What was the total cost cost of the vacation?
Choices:
$375
$400
$500
$600
Answer: A
Question: If a number N is chosen at random from the set of two-digit integers whose digits are both prime numbers, what is the probability R that N is divisible by 3?
Choices:
¼
9/25
5/16
0
Answer: C
Question: In a camp, there is a meal for 100 men or 200 children. If 150 children have taken the meal, how many
men will be catered to with the remaining meal ?
Choices:
25 men
34 men
30 men
None of these
Answer: A
Question: When you multiply a number by 4 and
then subtract 8, the result is the same as
if you first subtracted 4 from the same
number and then multiplied by 12. What
is the number?
Choices:
A)5
C)19
D)31
E)10
Answer: A
Question: Find four consecutive even integers so that the sum of the first two added to twice the sum of the last two is equal to 742.
Choices:
120 ,122 , 124 ,126
120 ,121 , 122 ,123
123 ,125 , 127 ,129
None of these
Answer: A
Question: If 3/p=8 & 3/q=18 then p-q=?
Choices:
5/24
7/24
8/24
9/24
Answer: A
Question: A group of three girls and three boys have tickets for six adjacent seats in one row of a theater. If the three boys will not sit in three adjacent seats, how many possible different seating arrangements are there for these 6 theatre-goers?
Choices:
6! – 6!3!
7 × 2!3!2!
6! – 4!3!
2!3!2!
Answer: C
Question: Point A is moving along 32 inch circle at a rate of 8 inches per second. Two seconds after A starts, point B moves from the same starting point on the circle at 12 inches per scond. What is the shortest time that B could take in order to coincide with A?
Choices:
3 seconds
2 seconds
1 second
0.8 seconds
Answer: D
Question: Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit?
Choices:
16.33
16.35
16.3
16.32
Answer: C
Question: A family consists of grandparents, parents and three grand children. The average age of the grandparents is 67 years, that of the parents is 38 years and that of the grandchildren is 6 years. What is the average age of the family?
Choices:
31 5â„7 years
32 4â„7 years
27 1â„2 years
None of these
Answer: B
Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Choices:
270
288
266
121
Answer: A
Question: A is twice as good a work man as B and together they finish a piece of work in 36 days.The number of days taken by B alone to finish the work is :
Choices:
108 days.
98 days.
47 days.
103 days.
Answer: A
Question: When positive integer A is divided by positive integer B, the remainder is 5. If A/B = 58.25, what is the value of B?
Choices:
19
15
20
13
Answer: C
Question: How many numbers between 11 and 90 are divisible by 7?
Choices:
11
15
12
10
Answer: A
Question: The cash realised on selling a 14% stock is Rs.108.25, brokerage being 1/4% is?
Choices:
106
108
192
122
Answer: B
Question: 4^x +4* 4^-x = 4 What is the value of x?
Choices:
1/2
-1
1/2
1
Answer: A
Question: A box contains 4 black and 5 red balls and another box contains 5 black and 4 red balls. One ball is to drawn from either of two boxes. What is the probability of drawing a black ball ?
Choices:
2/9
4/9
1/2
2/3
Answer: C
Question: The population of a certain town increases by 50 percent every 50 years. If the population in 1950 was 810, in what year was the population 160?
Choices:
1700
1750
1800
1850
Answer: B
Question: In a group of ducks and cows, the total number of legs are 26 more than twice the no. of heads. Find the total no.of buffaloes.
Choices:
12
13
15
16
Answer: B
Question: Rs.1300 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
Choices:
s.600
s.528
s.540
s.549
Answer: A
Question: g(x) is defined as the product of all even integers k such that 0 < k ≤ x. For example, g(14) = 2 × 4 × 6 × 8 × 10 × 12 × 14. If g(r) is divisible by 4^11, what is the smallest possible value for r?
Choices:
24
28
32
44
Answer: A
Question: In a camp, there is a meal for 120 men or 200 children. If 125 children have taken the meal, how many men will be catered to with remaining meal?
Choices:
20
40
45
63
Answer: C
Question: Mrs. Evans gave a test to her freshmen economics class, which has 29 students enrolled and 19 of them answered question 1 correctly. If 24 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly?
Choices:
9
11
17
19
Answer: D
Question: How many combinations of numbers less than 8 make their sum=8 (repetation of numbers is allowed)
Choices:
103
104
105
106
Answer: B
Question: Machine A working alone can complete a job in 3 hours. Machine B working alone can do the same job in 4 hours. How long will it take both machines working together at their respective constant rates to complete the job?
Choices:
1.714 hr
4hr
2hr
1.714 hr
Answer: D
Question: In a workshop there are 4 kinds of beds, 5 kinds of closets, 2 kinds of shelves and 7 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?
Choices:
B)96.
C)56.
D)48.
E)16.
Answer: A
Question: Anne bought a computer for $2,000 and then paid a 5 percent sales tax, and Henry bought a computer for $1,800 and then paid a 12 percent sales tax. The total amount that Henry paid, including sales tax, was what percent less than the total amount that Anne paid, including sales tax?
Choices:
4%
7%
D.10%
12%
Answer: A
Question: 2646 can be expressed as a product of primes as
Choices:
2 × 3 × 3 × 3 × 7 × 7
2 × 2 × 2 × 3 × 3 × 7
2 × 3 × 3 × 3 × 3 × 7
None of these
Answer: A
Question: If B and C are digits and 8BC is a 2-digit number that is divisible by 2, which of the following is a possible product of B and C?
Choices:
2
4
6
14
Answer: B
Question: The sum of the cube of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
Choices:
20
22
24
25
Answer: A
Question: The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is :
Choices:
36.5
36.2
36.1
36.8
Answer: A
Question: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 26 with him, what was the average amount with the group before his joining the group?
Choices:
s.12
s.15
s.29
s.19
Answer: D
Question: Find the third proportion to 12, 36?
Choices:
107
108
109
110
Answer: B
Question: If 1 + 9 + 11 = 1, Then what is the value of
12 + 11 + 9 = ?
Choices:
15
17
12
10
Answer: D
Question: If pq = p^4 + q^2 – 2pq, for what value of q is pq equal to p^4 for all values of p?
Choices:
-1
2
1
0
Answer: D
Question: A completes a work in 10 days and B complete the same work in 12 days. If both of them work together, then the number of days required to complete the work will be
Choices:
6.8 days
10 days
12 days
13 days
Answer: A
Question: If 0.75 : x :: 5 : 8, then x is equal to:
Choices:
1.2
8.6
5.14
7.2
Answer: A
Question: A bag holds 3 red marbles and 3 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be green?
Choices:
1/6
3/10
1/5
1/2
Answer: C
Question: If x is 30 percent greater than 88, then x =
Choices:
70.4
86
114.4
108
Answer: C
Question: The smallest prime number is:
Choices:
2
3
4
5
Answer: A
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
Choices:
18
77
66
41
Answer: A
Question: Three people each took 5 tests. If the ranges of their scores in the 5 practice tests were 17, 28 and 35, 45 what is the minimum possible range in scores of the three test-takers?
Choices:
b) 28
c) 35
d) 45
e) 80
Answer: C
Question: The G.C.D. of 1.08, 0.31 and 0.9 is:
Choices:
0.01
0.18
0.108
None
Answer: A
Question: During a two-week period, the price of an ounce of silver increased by 20 percent by the end of the first week and then decreased by 10 percent of this new price by the end of the second week. If the price of silver was x dollars per ounce at the beginning of the two-week period, what was the price, in dollars per ounce, by the end of the period?
Choices:
1.04x
1.06x
1.08x
1.1x
Answer: C
Question: The sector of a circle has radius of 28 cm and central angle 135o. Find its perimeter?
Choices:
91.4
91.7
91.3
122
Answer: D
Question: Which of the following has the most number of divisors?
Choices:
101
176
182
179
Answer: B
Question: Adam spent 1/6 of his lifetime in adolescence. His facial hair started growing after 1/12 more of his life. He successfully married his girlfriend Diana after 1/7 more of his life. Their son was born after 5 years from then. The son lived just 1/2 of what Adam lived. Adam dies four years after his son died.
Choices:
84
81
75
66
Answer: A
Question: How much 80% of 40 is greater than 10% of 15?
Choices:
99
19
18
17
Answer: D
Question: The cost of a one-family home was $ 120,000 in 1980. In 1988, the price had increased to $ 186,000. What was the percent increase in the cost of the home?
Choices:
50%
55%
40%
33.3%
Answer: B
Question: If two pipes function simultaneously the reservoir will be filled in 12 hours, one pipe fills the reservoir 10 hours faster than the other. How many hours it takes the second pipe to fill the reservoir?
Choices:
18 hours
30 hours
20 hours
22 hours
Answer: B
Question: The ratio between the length and the breadth of a rectangular park is 1 : 4. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
Choices:
134561 m
156787 m
15450 m
102400 m
Answer: D
Question: The equal amounts of money are deposited in two banks each at 15% per annum for 3.5 years and 5 years respectively. If the difference between their interests is Rs.144, find the each sum?
Choices:
640
888
276
981
Answer: A
Question: Sanjay deposited Rs. 5000 in the bank. The bank offered simple interest at the rate of 12 per cent per year. After 5 years the total amount received by him will be:
Choices:
7,500
7,700
7,900
8,000
Answer: B
Question: log root(8)/log 8 is equal to
Choices:
1/2
1/4
1/5
1/6
Answer: A
Question: Baby Isabel plays with blocks. Each block is 1.5 inches tall. She has a collection of 20 blocks. If she could stack all of the blocks up one on top of the other, how many inches tall would her tower of blocks be?
Choices:
30"
106"
120"
151.7"
Answer: A
Question: A military commander has to choose 2 soldiers out of a company of 9 for guarding the headquarters. How many different group combinations of 2 does he have to choose from?
Choices:
15
36
27
35
Answer: B
Question: A trail mix company keeps costs down by employing the peanuts:cashews:almonds ratio of 10:4:1 in each bag of up to 75 total nuts. What is the maximum percentage by which the company could decrease its number of peanuts per bag and still have peanuts constitute more than half the total amount of nuts?
Choices:
48%
49%
50%
58%
Answer: A
Question: x - y = 5
2x = 2y + 10
The system of equations above has how many solutions?
Choices:
Infinitely many
Exactly two
Exactly three
None
Answer: A
Question: In the list 3, 3, 4, 4, 5, 5, 5, 5, 7, 11, 21, what fraction of the data is less than the mode?
Choices:
1/3
4/11
2/3
7/9
Answer: B
Question: A car takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
60 Kmph
80 Kmph
85 Kmph
90 Kmph
Answer: A
Question: A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Choices:
20
28
26
21
Answer: A
Question: A grocer buys apples for 100¢ per pound. If 20% of the apples goes bad and he still wants to make a 10% profit over his purchase price, what should be the sales price?
Choices:
130¢
140¢
137.5¢
142¢
Answer: C
Question: A and B invests Rs.3000 and Rs.5000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Choices:
9:8
9:10
9:9
9:5
Answer: B
Question: Of the three numbers, the first is twice as second and three times the third. The average of the three numbers is 88, and the three numbers in order are?
Choices:
98,49,33
126,63,36
144,72,48
None of these
Answer: C
Question: If two numbers are in the ratio 4:3. If 20 is added to both of the numbers then the ratio becomes 5:4 then find the smallest number?
Choices:
60
40
20
50
Answer: A
Question: If f and t are integers and f^2 – t^2 is an odd integer, which of the following must be an even integer?
I. f + t + 2
II. f^2 + 2ft + t^2
III. f^2 + t^2
Choices:
None
II only
III only
I, II, and III
Answer: A
Question: The pages of a report are numbered consecutively from 1 to 9. If the sum of the page numbers up to and including page number x of the report is equal to THREE less than the sum of the page numbers following page number x, then x =
Choices:
5
6
7
8
Answer: B
Question: If 8 cats can kill 8 rats in 8 minutes, how long will it take 100 cats to kill 100 rats?
Choices:
7 minutes
8 minutes
9 minutes
10 minutes
Answer: B
Question: A cistern is normally filled in 2 hrs,but takes 2 hrs longer to fill because of a leak on its bottom,if Cistern is full ,how much time citern would empty?
Choices:
4 hours
30 hours
40 hours
50 hours
Answer: A
Question: The cash difference between the selling prices of an article at a profit of 8% and 6% is Rs. 3. The ratio of the two selling prices is?
Choices:
52:53
52:50
54:53
52:51
Answer: C
Question: For which of the following functions is f(q) = f(−q) for all values of q ?
Choices:
f(x) = −x
f(x) = 2x + 3
f(q) = −q^2 + 2
f(x) = 5x − 4
Answer: C
Question: A bakery sells 4 varieties of pastries. John buys 10 pastries making sure, he gets at least one of each kind.
In how many ways can John make the purchase ?
Choices:
84
88
90
82
Answer: A
Question: A certain protective additive increases from 50 days to 60 days the time between required maintenance checks on an industrial vehicle. By what percent is the time between maintenance checks increased by using the additive?
Choices:
33 1/3%
50%
66 2/3%
20%
Answer: D
Question: The relationship between quantities m and n is expressed by the equation 30m = 5(n - 42). If the difference between the two chosen values of n is 30, what is the difference in the corresponding values of m?
Choices:
5
60/11
150/11
14
Answer: A
Question: A sock drawer contains five socks, each one a different solid color. The colors of the socks are yellow, green, blue, indigo, and violet. If the socks are laid next to each other, how many different arrangements of socks could be made?
Choices:
240
1,024
2,520
120
Answer: D
Question: Two trains started at the same time, one from A to B and the other from B to A . If they arrived at B and A respectively 16 hours and 25 hours after they passed each other the ratio of the speeds of the two trains was
Choices:
3:2
4:3
5:4
1:2
Answer: C
Question: At a certain university, the ratio of the number of teaching assistants to the number of students in any course must always be greater than 4:85. At this university, what is the maximum number of students possible in a course that has 5 teaching assistants?
Choices:
106
108
109
110
Answer: A
Question: A, B, and C working alone can finish constructing a house in 6, 12, and 18 hours respectively. A starts alone and works for 1 hour. He is then joined by B and they work together for 1 hour. Finally C joins them and they all work together to finish the work. If they start working at 9 am, at what time will they finish?
Choices:
12:15 pm
12:35 pm
12:55 pm
1:15 pm
Answer: C
Question: If |20x-10| = 150, then find the product of the values of x?
Choices:
56
-62
35
-30
Answer: A
Question: Jack has two dice, one has six equally probable sides, labeled 1, 2, 3, 4, 5, 6, and the other has seven equally probable sides, labeled 1, 2, 3, 4, 5, 6, 7. If Jack rolls both dice what is the probability that both of the numbers will be even?
Choices:
3/14
1/3
1/2
12/21
Answer: A
Question: If the average cost of a house was $70,000 in 1965 and was x in 2005, what was the average increase in home prices per year over this period?
Choices:
C)(50,000/40)+x
B)(x-50,000)/40
D)(50,000-x)/40
E)x/40
Answer: B
Question: A loan has a variable interest rate that fluctuates between 5% and 10% of the base payment per month. If base payments remain at $200 each month and an additional monthly surcharge of 1% is added to the combined (base + interest), what would be the greatest possible payment due in any given month?
Choices:
$222.20
$224.20
$224.40
$225.60
Answer: A
Question: If the original mass of an element, in grams, is a whole number and the element has decayed by exactly 93 percent in some time period, which of the following could be the final mass of that element?
Choices:
28 grams
29 grams
42 grams
32 grams
Answer: C
Question: Five people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
Choices:
1/8
1/4
1/7
1/9
Answer: B
Question: In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 42 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp?
Choices:
245
150
300
350
Answer: C
Question: A can have a piece of work done in 8 days, B can work three times faster than the A, C can work five times faster than A. How many days will they take to do the work together ?
Choices:
8/9 days
4 days
can't say
none
Answer: A
Question: Calculate the sum of first 28 natural numbers.
Choices:
406
401
409
405
Answer: A
Question: The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. The age of the 15th student is
Choices:
11 years
14 years
21 years
25 years
Answer: A
Question: The average of seven numbers is 26. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Choices:
83
29
32
34
Answer: A
Question: How many figures are required to number the pages the pages of a book containing 709 pages?
Choices:
2019
1019
2029
2039
Answer: A
Question: If k is an integer, which of the following must be an even integer?
Choices:
k^2-4k+6
k^2-5k+5
k^2+3k+8
k^2+2k+10
Answer: C
Question: A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
Choices:
99
24
66
887
Answer: B
Question: Three unbiased coins are tossed. What is the probability of getting 2 Tails?
Choices:
1/4
3/8
7/8
1/8
Answer: B
Question: The average age of a group of n people is 15 years old. One more person aged 37 joins the group and the new average is 17 years old. What is the value of n?
Choices:
10
14
16
18
Answer: A
Question: The sum of ages of 5 children born at the intervals of 2 years each is 55 years. What is the age of the youngest child?
Choices:
7
6
9
8
Answer: A
Question: Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is ?
Choices:
10/19
46/105
11/15
Cannot be determined
Answer: D
Question: 3,5,9,15,23,__
Choices:
33
36
40
41
Answer: A
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
48 Km/hr
57 Km/hr
72 Km/hr
83 Km/hr
Answer: C
Question: A electricity company charges $3 for the first 500 units consumption plus $0.05 for each additional unit. What would this company charge for a consumption of 800 units ?
Choices:
$12
$15
$16
$18
Answer: D
Question: If b can complete the work in n days and if a and b can work together then they will complete in y days. what will be time to complete the work a alone?
Choices:
1/yn
yn/(n-y)
2^(yn/(n-y))
cannot be determined
Answer: B
Question: A trader marks his product 40% above its cost. He sells the product on credit and allows 10% trade discount. In order to ensure prompt payment, he further gives 10% discount on the reduced price. If he makes a profit of Rs. 67 from the transaction, then the cost price of the product is
Choices:
Rs. 400
Rs. 325
Rs. 500
Rs. 600
Answer: C
Question: If 638521 is to be divisible by 5, what is the least whole number that should be added to?
Choices:
7
5
4
3
Answer: C
Question: A, B and C can do a piece of work in 6,8 and 12 days respectively. In how many days would all of them complete the same job working together?
Choices:
2 2/3 days.
2 3/2 days.
3 1/2 days.
3 3/4 days.
Answer: A
Question: The food in a camp lasts for 10 men for 20 days. If 30 more men join, how many days will the food last?
Choices:
4 days
5 days
10 days
17 days
Answer: B
Question: A sequence consists of 16 consecutive even integers written in increasing order. The sum of the first 8 of these even integers is 456. What is the sum of the last 8 of the even integers?
Choices:
584
588
592
596
Answer: A
Question: The perimeter of one square is 48 cm and that of another is 20 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?
Choices:
13√2
13√0
13√2
13√1
Answer: A
Question: In a recent election, Ms. Robinson received 8000 voters cast by independent voters, that is, voters not registered with a specific political party. She also received 40 percent of the votes cast by those voters registered with a political party. IF N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Mrs. Robbins received?
Choices:
0.1N+7200
0.24N+8000
0.1N+8000
0.06N+8000
Answer: B
Question: David invested certain amount in three different schemes. A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in scheme C was 150% of the amount invested in scheme A and 240% of the amount invested in scheme B, what was the amount invested in scheme B?
Choices:
Rs. 5000
Rs. 8000
Cannot be determined
None of these
Answer: A
Question: In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
Choices:
11710
11712
11750
11751
Answer: C
Question: There are 16 balls in a jar: 8 red, 6 blue and 2 green. If a single ball is drawn from the jar, what is the probability of that it is either blue or red?
Choices:
1/4
7/8
2/3
3/4
Answer: B
Question: By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 40%?
Choices:
384
267
288
276
Answer: A
Question: If x, y, and z are positive integers, and 4x = 5y = 8z, then the least possible value of x + y + z is
Choices:
23
37
42
60
Answer: A
Question: Twelve years ago, P was half of Q's age. If the ratio of their present ages is 3:4 what will be the total of their present ages?
Choices:
37
29
31
42
Answer: D
Question: 1. The simple interest on a sum of money is Rs. 50. What is the sum?
I. The interest rate is 10% p.a.
II. The sum earned simple interest in 10 years
Choices:
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are necessary to answer
None of these
Answer: C
Question: (6)6.5 × (36)4.5 ÷ (216)4.5 = (6)?
Choices:
2
4
6
8
Answer: A
Question: A train 200 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
Choices:
9 sec
12 sec
15 sec
18 sec
Answer: B
Question: What inequality represents the condition 1<x<7?
Choices:
|x+5|<4
|x-1|<9
|-4+x|<3
|3+x|<5
Answer: C
Question: Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed?
Choices:
512
523
521
500
Answer: A
Question: Vijay sells a cupboard at 16% below cost price. Had he got Rs.1200 more, he would have made a profit of 16%. What is the cost price of the cupboard?
Choices:
3750
7400
7500
None of these
Answer: A
Question: The total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?
Choices:
75
279
271
27
Answer: A
Question: A sum of money doubles itself in 7 years. In how many years it becomes four fold?
Choices:
28 years
14 years
21 years
None of these
Answer: C
Question: A car drove from Town A to Town B without stopping. The car traveled the first 50 miles of its journey at an average speed of 25 miles per hour. What was the car’s average speed, in miles per hour, for the remaining 110 miles if the car’s average speed for the entire trip was 40 miles per hour?
Choices:
48
50
55
70
Answer: C
Question: A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 2:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?
Choices:
10.29 p.m
10.30 p.m
10.38 p.m
9.30 p.m
Answer: D
Question: For each 6-month period during a light bulb's life span, the odds of it not burning out from over-use are half what they were in the previous 6-month period. If the odds of a light bulb burning out during the first 6-month period following its purchase are 1/8, what are the odds of it burning out during the period from 6months to 1 year following its purchase?
Choices:
2/9
1/2
4/9
2/3
Answer: B
Question: A person can row at 10 kmph in still water. If the velocity of the current is 2 kmph and it takes him 20 hour to row to a place and come back, how far is the place?
Choices:
30km
96km
12km
15km
Answer: B
Question: A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
Choices:
50
88
77
52
Answer: A
Question: Sachin was twice as old as Ajay 10 years back. How old is Ajay today if Sachin will be 40 years old 10 years hence
Choices:
88 years
97 years
20 years
55 years
Answer: C
Question: A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
Choices:
Rs. 1160
Rs. 1190
Rs. 1202
Rs. 1256
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Choices:
110
120
130
150
Answer: D
Question: A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 10 minutes earlier. How far is the office from his house?
Choices:
4 1/7 Km
3 3/5 Km
3 1/7 Km
3 2/5 Km
Answer: B
Question: Two brothers take the same route to school on their bicycles, one gets to school in 25 minutes and the second one gets to school in 36 minutes. The ratio of their speeds is
Choices:
1 : 2
6 : 7
5 : 6
None
Answer: C
Question: A number whose fifth part increased by 5 is equal to its fourth part diminished by 5, is
Choices:
180
200
220
None of these
Answer: B
Question: In how many different ways can the letters of the word 'RUMOUR' be arranged?
Choices:
180
30
720
60
Answer: A
Question: Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together?
Choices:
1440 ways
1490 ways
1447 ways
1240 ways
Answer: A
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:
18 seconds
40 seconds
48 seconds
45 seconds
Answer: C
Question: Find the distance covered by a man walking for 30min at a speed of 5km/hr?
Choices:
3km
4km
2.5 km
6km
Answer: C
Question: 90% of the population of a village is 45000. The total population of the village is?
Choices:
24000
50000
29973
12312
Answer: B
Question: A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
Choices:
3:4
3:0
3:2
3:5
Answer: A
Question: Find out the wrong number in the given sequence of numbers.
1, 2, 6, 15, 31, 56, 94
Choices:
6
15
31
94
Answer: D
Question: If f(x2 – 1) = x4 – 7x2 + k1 and f(x3 – 2) = x6 – 9x3 + k2 then the value of (k2 – k1) is _____
Choices:
7
8
9
None of the above
Answer: B
Question: There are 9 books on a shelf that consist of 2 paperback books and 7 hardback books. If 4 books are selected at random without replacement, how many different combinations are there which include at least one paperback book?
Choices:
91
97
103
110
Answer: A
Question: The probability is 1/2 that a certain coin turns up heads on any given toss. If the coin is tossed three times, what is the probability that the coin turns up tails on at least one of the tosses?
Choices:
7/8
3/8
3/4
7/16
Answer: A
Question: Look at this series: 3, 4, 7, 8, 11, 12, ... What number should come next?
Choices:
14
15
17
19
Answer: B
Question: If y > 0, (10y)/20 + (3y)/10 is what percent of y?
Choices:
50%
60%
70%
80%
Answer: D
Question: The average weight of 16 pupils in a class is 50.25 kg and that of the remaining 8 pupils is 45.15 kg. Find the average weights of all the pupils in the class.
Choices:
A)48.55
C)51
D)61
E)62
Answer: A
Question: The speed of a boat in still water is 60kmph and the speed of the current is 10kmph. Find the speed downstream and upstream?
Choices:
70, 50 kmph
90, 60 kmph
40, 60 kmph
20, 60 kmph
Answer: A