antoine-444/aqua_rat_dataset huggingface dataset:
Question: At a certain committee meeting only associate professors and assistant professors are present. Each associate professor has brought 2 pencils and 1 chart to the meeting, while each assistant professor has brought 1 pencil and 2 charts. If a total of 10 pencils and 8 charts have been brought to the meeting, how many people are present?
Choices:
6
8
9
10
Answer: A
Question: What is the average (arithmetic mean) of all the multiples of ten from 10 to 210 inclusive?
Choices:
95
100
105
110
Answer: D
Question: When x is divided by y, the quotient is z with remainder r. Which of the following is y in terms of r, x, and z? (Assume both y and z are nonzero.)
Choices:
(x+r)/z
x/z−r
(x−r)/z
xr – z
Answer: C
Question: A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at 12 noon. Ten minutes later, a train leaves Tokyo for Kyoto traveling 160 miles per hour. If Tokyo and Kyoto are 320 miles apart, at what time will the trains pass each other?
Choices:
12:49pm
12:52pm
1:00pm
1:05pm
Answer: B
Question: Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 62 percent of those who attended the meeting were stockholders and 46 percent were employees, what percent were stockholders who were not employees?
Choices:
38%
54%
53%
62%
Answer: B
Question: A portion of the 90% solution of chemicals was replaced with an equal amount of 20% solution of chemicals. As a result, 40% solution of chemicals resulted. What part of the original solution was replaced?
Choices:
5/7
9/5
13/9
13/6
Answer: A
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 70 metres?
Choices:
65 seconds
78 seconds
12 seconds
14 seconds
Answer: D
Question: There are 8 people and 5 chairs. In how many different ways people can occupy the chairs?
Choices:
1650
1660
1670
1680
Answer: D
Question: Two Trains starting at same time from two stations 320km apart and going in opposite directions cross each other at a distance of 140km from first stations. What is the ratio of their speeds
Choices:
4:7
7:9
7:11
7:12
Answer: B
Question: Which of the following is closer to (9!+8!)-(9!-8!)?
Choices:
80640
80540
80440
80740
Answer: A
Question: A certain boxer has agreed to pay his opponent a fee of 3% of his total purse for every pound over the specified weight limit he weighs in. If the boxer pays his opponent a fee of $26,250 after weighing in seven pounds over the specified limit, what was the boxer's purse?
Choices:
$105,000
$125,000
$183,750
$1,050,000
Answer: B
Question: A basketball team composed of 12 players scored 100 points in a particular contest. If none of the individual players scored fewer than 7 points, what is the greatest number of points L that an individual player might have scored?
Choices:
13
16
21
23
Answer: D
Question: What number is that, to which if 1, 5, and 13, be severally added, the first sum shall be to the second, as the second to the third?
Choices:
2
3
4
5
Answer: B
Question: A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs.8.40 less, he would have gained 30%. Find the cost of the article.
Choices:
40
50
60
70
Answer: A
Question: Find the least number which when divided by 12,24,36,42 leaves remainder 9,21,33,39 respectively.
Choices:
501
452
365
325
Answer: A
Question: Shweta buys a product at 25% discount rate. At what % over the cost price should she sell the product to make an overall 25% profit over the listed price?
Choices:
33.333
66.667
40
None of these
Answer: B
Question: When n is divided by 24, the remainder is 3. Find thee difference between previous remainder and the remainder when 9n is divided by 7 ?
Choices:
7
5
3
6
Answer: C
Question: Peter age after 5 years will be 5 times his age 5 years back. what is the present age of Peter?
Choices:
A)20
C)15
D)22
E)10
Answer: A
Question: A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Choices:
Rs.2.4
Rs.2.5
Rs.2.2
Rs.2.1
Answer: B
Question: What will be the output of the following code statements?
Integer a = 15, b = 30, c = 10 print (a × b / c) – c
Choices:
35
29
26
81
Answer: A
Question: A factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, 20 balls per box. If 126 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed?
Choices:
4
1
5
3
Answer: B
Question: My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was bom. If my sister was 4 years of age when my brother was born, then, what was the age of my father and mother respectively when my brother was born?
Choices:
32 yrs, 23 yrs
35 yrs, 29 yrs
35 yrs, 33 yrs
None
Answer: A
Question: How many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth (units digit) is divisible by 3, and the digit 7 can be used only once?
Choices:
150
304
310
320
Answer: B
Question: Two pipes A and B can fill a tank is 8 minutes and 14 minutes respectively. If both the taps are opened simultaneously, and the tap A is closed after 3 minutes, then how much more time will it take to fill the tank by tap B?
Choices:
5 min 45 sec
2min 45 sec
5 min 55 sec
5 min 28 sec
Answer: A
Question: Employees at a company will vote for an executive team of five people from eight qualified candidates. The executive team consists of a president, a treasurer, and three warrant officers. If an executive team is considered different if any of the same people hold different offices, then how many possible executive teams G could be selected from the eight candidates?
Choices:
120
210
1120
6720
Answer: C
Question: The probability that a visitor at the mall buys a pack of candy is 50%. If three visitors come to the mall today, what is the probability that exactly two will buy a pack of candy?
Choices:
0.25
0.325
0.375
0.5
Answer: C
Question: A person has undertaken a construction job. The probabilities are 0.65 that there will be strike, 0.8 that the job will be completed on time if there is no strike, 0.32 that the job will be completed on time. If there is a strike. Determine the probability that the job will be completed on time.
Choices:
0.488
0.486
0.458
0.487
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 W of employees who take the subway to work?
Choices:
13
14
15
16
Answer: C
Question: In a garments industry, a loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 metre of cloth ?
Choices:
195 sec
196 sec
200 sec
None of these
Answer: A
Question: A student got twice as many sums wrong as he got right. If he attempted 48 sums in all, how many did he solve correctly ?
Choices:
16
18
24
26
Answer: A
Question: If a:b=2:8 and b:c=3:4 find a:b:c?
Choices:
3:12:16
6:12:3
4:3:14
5:2:6
Answer: A
Question: How many times will the digit 4 be written when listing the integers from 1 to 1000?
Choices:
300
294
264
385
Answer: A
Question: Find the odd man out
385, 462, 572, 427, 671, 264
Choices:
427
671
264
462
Answer: A
Question: A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?
Choices:
30
88
266
12
Answer: A
Question: If x - y =1 and
x2+y2=25
, find the value of ab.
Choices:
12
16
32
48
Answer: A
Question: A broker invested her own money in the stock market. During the first year, she increased her stock market wealth by 80 percent. In the second year, largely as a result of a slump in the stock market, she suffered a 30 percent decrease in the value of her stock investments. What was the net increase or decrease on her overall stock investment wealth by the end of the second year?
Choices:
5%
15%
26%
80%
Answer: C
Question: There are cats got together and decided to kill the mice of 999936. Each cat kills equal number of mice and each cat kills more number of mice than cats there were. Then what are the number of cats?
Choices:
991,1001
991,1009
992,1008
931,1009
Answer: C
Question: The distance between X&Y is 600km. A person is traveling from X to Y at 60km/hr started at 10AM and another person is traveling from Y to X at 40km/hr and started at same time. Then at what time they meet together.?
Choices:
B)4PM
C)1PM
D)3PM
E)5PM
Answer: A
Question: Double of Quarter of 3 percent written as a decimal is :
Choices:
0.015
0.25
0.005
None of these
Answer: A
Question: A person travels from P to Q a speed of 60 km/hr and returns by increasing his speed by 20%. What is his average speed for both the trips?
Choices:
77
48
66
21
Answer: C
Question: The least number which should be added to 3725 so that the sum is exactly divisible by 5, 6, 4 and 3 is?
Choices:
55
65
75
85
Answer: A
Question: A train 360 m long is running at a speed of 45 km / hr. In what time will be pass a bridge 140 m long?
Choices:
40 sec
45 sec
48 sec
None
Answer: A
Question: The concentration of spirit in three different vessels A, B and C are 45%, 30% and 10% respectively. If 4 litres from vessel A, 5 litres from vessel B and 6 litres from vessel C are mixed, find the concentration of spirit in the resultant solution.
Choices:
26%
34%
35%
24%
Answer: A
Question: A water tank has two pipes to fill water in it. One of the pipes fills water at the rate of 100 litres per hour. The tank is filled by the other pipe in 6 hours and by both pipes together in 4.2 hours. What is the capacity of the tank in litres ?
Choices:
980 litre
1120 litre
1400 litre
None of these
Answer: C
Question: A bowl was filled with 10 ounces of water, and 0.00008 ounce of the water evaporated each day during a 50-day period. What percent of the original amount of water evaporated during this period?
Choices:
0.04%
0.40%
4%
40%
Answer: A
Question: what is rate of interest if principal.amount be 400,simple interest 120 and time 2year.
Choices:
12.5
25
12
15
Answer: D
Question: How many 4-letter words can be formed using the letters of the English alphabet that contain 2 different vowels and 2 different consonants?
Choices:
4!*5c2 *21c2
5C2 * 21C3 * 5!
5P2 * 21P3
5C2 * 21C3
Answer: A
Question: a student reached his school late by 20mins by travelling at a speed of 9kmph.if he had travelled at a speed of 12kmph,he would have reached his school 20mins early.what is the distance between house and school?
Choices:
24
26
27
28
Answer: A
Question: A 6 litre sol is 30% alcohol .How many litres of pure alcohol must be added to produce a sol that is 50% alcohol ?
Choices:
B.1
C.2.1
D.3
E.2.4
Answer: D
Question: Rajesh can finish 1/3 of his home work in one hour. Seema can finish 3/7 of
her homework in 70 minutes and Ramya can finish 3/4 of her homework in
three and a quarter hours. If all of them start their home work at 12.00 PM and can
go to play as soon as they all finish their homework. When can they start to
play, if they take a break at 3.00 PM for 30 minutes?
Choices:
5:30pm
6:30pm
4:50pm
3:30pm
Answer: C
Question: Which of the following is a even number ?
Choices:
11
4
3
1
Answer: B
Question: in a certain tournament certain rules are followed: any player is eliminated the moment he losses for the third time (irrespective of how many wins he has), any player can play another player any number of times. If 512 contestants enter the tournament what is the largest number of games that could be played?
Choices:
1535
1536
1534
1556
Answer: A
Question: The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
Choices:
9400
9600
9670
9800
Answer: B
Question: Amul's Ice Cream Shop sells ice cream at a cents a scoop. For an additional b cents, a customer can add 7 toppings to his or her sundae. How much would a sundae with 7 scoops and 7 toppings cost, in terms of a and b?
Choices:
7a+b
6a+b
5a+b
5a+3b
Answer: A
Question: At 1:00 pm, a truck left city P and headed toward City Q at a constant speed of 50 km/h. One hour later, a car left City Q and headed toward City P along the same road at a constant speed of 40 km/h. If the distance between City P and City Q is 230 km, at what time will the truck and the car meet each other?
Choices:
4:00
5:00
5:30
6:00
Answer: A
Question: A train 450 m long running at 108 kmph crosses a platform in 25 sec. What is the length of the platform?
Choices:
266
350
277
300
Answer: D
Question: A set consist of 2m-1 element. What is the number of subsets of this set which contain at most m-1 elements?
Choices:
2^(2m-2)
2^(2m) -1
2^(2m)
2^(2m-1)
Answer: A
Question: A boatman can row 3 km against the stream in 20 minutes and return in 18 minutes. Find the rate of current ?
Choices:
8/2 kmph
5/2 kmph
1/2 kmph
2/2 kmph
Answer: C
Question: Ron walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 6 hours 45 minutes. He would have gained 2 hours by driving both ways. How long K would it have taken for him to walk both ways.
Choices:
8 h 45 min
6 h 45 min
5 h 30 min
None of these
Answer: A
Question: Set W includes elements {8, 2, 11, x, 3, y} and has a mean of 7 and a median of 5.5. If x < y, then which of the following is the maximum possible value of x?
Choices:
1
2
3
4
Answer: C
Question: A person lent a certain sum of money at 5% per annum at simple interest and in 8 years the interest amounted to $420 less than the sum lent. What was the sum lent?
Choices:
600
700
800
900
Answer: B
Question: Departments A, B, and C have 6 employees each, and department D has 20 employees. Departments A, B, C, and D have no employees in common. A task force is to be formed by selecting 1 employee from each of departments A, B, and C and 2 employees from department D. How many different task forces are possible?
Choices:
41,040
100,000
190,000
400,000
Answer: A
Question: An investor invests in a new fund. The fund averages 10% growth annually for the first three years, but it loses 20% of its value in the fourth year. At the end of four years, the value of the fund is approximately what percent of the original amount?
Choices:
100.98%
103.45%
106.48%
109.78%
Answer: C
Question: Which of the following is closest to (-2/3)^199？
Choices:
-1/2
0
1
2
Answer: B
Question: If a, b, c are consecutive positive integers and a<b<c, which of the following must be true?
I. a-c=-2
II. abc is an even integer
III. (a+b+c)/3 is an integer
Choices:
All are correct
I and II
II and III
None are correct
Answer: A
Question: E is the midpoint of AC in right triangle ABC shown above. If the area of ΔABC is 24, what is the area of ΔBED?
A.
B.
C.
D.
E.
Choices:
9√2
12
9
6√2/3
Answer: C
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?
Choices:
268
260
480
269
Answer: C
Question: What is the area of an equilateral triangle whose one side length is 90?
Choices:
3525√3
3025√3
2525√3
2025√3
Answer: D
Question: The length of a rectangular hall is 5m more than its breadth. The area of the hall is 750 m. The length of the hall is
Choices:
25
30
35
40
Answer: A
Question: The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
Choices:
800 cm
400 cm
1000 cm
None of these
Answer: A
Question: Two cars, A and B, travel along interstate 20 from Atlanta to Dallas. Car A left Atlanta at 10 PM traveling at a constant speed of 60 mph. Car B left the same point in Atlanta 30 minutes later traveling at a constant speed of 80 mph. In how many minutes will Car B overtake Car A if neither car stops at any exit or experiences traffic (and thus both cars maintain their constant speeds)?
Choices:
90
100
110
120
Answer: A
Question: In a class of 27 students in an examination in maths 5 students scored 95 marks each, 3 get zero each and the average of the rest was 45. What is the average of the whole class?
Choices:
B)45.6
C)44
D)48
E)49.3
Answer: D
Question: Which of the following could be the sides of an obtuse angled triangle? all values are in degree only
I. 51, 29, 100
II. 10,110, 60
III.30 ,30 ,120
Choices:
II only
III only
I and II only
I, II and III
Answer: D
Question: Two numbers are in the ratio of 5:7. If 25 is subtracted from each number, they are in the ratio of 5:9. What are the two numbers?
Choices:
50, 70
55, 77
60, 84
65, 91
Answer: A
Question: The percentage increase in the area of rectangle , if each of its side is increased by 20% is?
Choices:
44%
50%
55%
60%
Answer: A
Question: In how many different number of ways 3 men and 2 women can sit on a shopa which can accommodate persons?
Choices:
B)70
C)1
D)5
E)2
Answer: C
Question: If 75 percent of a class answered the first question on a certain test correctly, 25 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
Choices:
20%
30%
50%
65%
Answer: A
Question: The perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
56 cm2
18 cm2
98 cm2
45 cm2
Answer: D
Question: A man buys an article for $10. and sells it for $25. Find the gain percent?
Choices:
50%
20%
150%
300%
Answer: C
Question: A train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 80 seconds. What is the length of the train in meters?
Choices:
1111 meters
800 meters
1822 meters
None of these
Answer: B
Question: The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 60 kg. What is the correct weight?
Choices:
58.6kgs
58.95kgs
59kgs
59.85kgs
Answer: A
Question: The average of 10 numbers is 40.2. Later it is found that two numbers have been wrongly copied. The first is 19 greater than the actual number and the second number added is 13 instead of 31. Find the correct average.
Choices:
40.4
40.6
40.8
40.1
Answer: D
Question: A necklace is made by stringing N individual beads together in the repeating pattern white bead, green bead, red bead, yellow bead, and blue bead. If the necklace design begins with a white bead and ends with a red bead, then N could equal
Choices:
68
55
45
35
Answer: A
Question: Three boys are ages 4, 6 and 7 respectively. Three girls are ages 5, 8 and 9, respectively. If two of the boys and two of the girls are randomly selected and the sum of the selected children's ages is w, what is the difference between the probability that w is even and the probability that w is odd?
Choices:
1/9
2/9
1/4
1/2
Answer: A
Question: What is the place value of 4 in the numeral 4259
Choices:
B)4000
C)2900
D)2980
E)3000
Answer: A
Question: Two numbers are in the ratio of 3:4. If 12 be subtracted from each, they are in the ratio of 9:8. Find the numbers?
Choices:
3,8
6,7
3,5
3,4
Answer: D
Question: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
Choices:
756
650
654
546
Answer: A
Question: A cave is going to explode. A family is trapped inside that cave. The only way to get outside is a narrow tunnel. But the tunnel is weak and thus only two people can go at one time. Also, everybody is afraid of going alone.
The father takes one minute to go through till the end, the mother takes two, the son takes four and the daughter takes five. The cave and tunnel will explode in twelve minutes. Can they make it to the other end in that time frame?
PS: Keep in mind that when two people are moving, the total time taken will be as per the slower one.
Choices:
12 minutes.
11 minutes.
13 minutes.
14 minutes.
Answer: A
Question: Find the value of (√1.1)/(√0.81) + (√1.44)/(√0.49) is
Choices:
2.879
155/63
125/63
185/63
Answer: A
Question: Find the sum of prime numbers lying between 58 and 75?
Choices:
331
252
272
None
Answer: A
Question: For any integer n greater than 1, #n denotes the product of all the integers from 1 to n, inclusive. How many prime numbers R are there between #6 +2 and #6 +6 , inclusive?
Choices:
None
Two
Three
Four
Answer: A
Question: A box measuring 24 inches long by 40 inches wide by 16 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective?
Choices:
30
32
35
37
Answer: A
Question: Bob wants to run a mile in the same time as his sister. If Bob’s time for a mile is currently 10 minutes 40 seconds and his sister’s time is currently 9 minutes 17 seconds, by what percent does Bob need to improve his time in order run a mile in the same time as his sister?
Choices:
5%
8%
10%
13%
Answer: D
Question: Ram, Raj started a business in partnership, which Ram invested Rs.8000/- for 1 year, Raj invested Rs.16000/- for 2 years.
At the end of the profit received by them is Rs.4000/-. What is Ram’s share?
Choices:
Rs. 900
Rs. 1000
Rs. 800
Rs. 700
Answer: C
Question: If N = 2^0.15 and N^b = 1, b must equal
Choices:
20/3
4
5/3
80/3
Answer: A
Question: The distance light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100 years is:
Choices:
587 × 10^10 miles
587 × 10^-10 miles
587 × 10^12 miles
587 × 10^-12 miles
Answer: C
Question: What is the tens digit of 7^1033?
Choices:
1
0
3
4
Answer: B
Question: A bag contains 10 red jellybeans and 10 blue jellybeans. If 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability Q that all 3 jellybeans removed from the bag are blue?
Choices:
2/19
1/8
3/20
3/10
Answer: A
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Choices:
3435
5667
4567
5184
Answer: D
Question: If (x + 1) times (2x + 3) is an odd integer, then x must be:
Choices:
an even integer
a prime number
a composite number
a negative integer
Answer: A
Question: Water boils at 212°F or 100°C and ice melts at 32°F or 0°C . If the temperature of a pot of water is 55°C, what is the temperature of the pot of water in °F?
Choices:
125°F
131°F
138°F
145°F
Answer: B
Question: A, B and C rent a pasture. If A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing and the rent of the pasture is Rs. 175, then how much amount should C pay as his share of rent?
Choices:
45
25
15
55
Answer: A
Question: The sum of five numbers is 200. The average of the first two numbers is 20 and the third number is 50. Find the average of the two numbers?
Choices:
55
60
65
70
Answer: A
Question: What approximate value should come in place of the question mark (?) in the following equation?
159% of 6531.8 + 5.5 × 1015.2 = ? + 5964.9
Choices:
10,000
11,000
10,600
12,000
Answer: A
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
240 m
300 m
400 m
None of these
Answer: A
Question: One boys picked up 30 mangoes .In how many ways can they divide them if all mangoes be identical?
Choices:
B)2^30
C)1^30
D)3^30
E)6^30
Answer: B
Question: 1370 , 1320 , 1070 , -180, -6430, X
Choices:
-37680
6630
6730
6830
Answer: A
Question: A square is drawn inside a right-angled triangle with the two perpendicular sides as 12 cm and 8 cm. what is the side of the largest possible square that can be drawn?
Choices:
4.8 cm
4.9 cm
5.0 cm
6.0 cm
Answer: A
Question: 7, 10.5, 15.75, 23.63, 35.43, (...)
Choices:
53.156
54
89
88
Answer: A
Question: If E is the product of all positive integers less than 31, than what is the greatest integer k for which E/18^k is an integer?
Choices:
6
7
14
26
Answer: B
Question: A five digit number is to be formed using each of the digits 1, 2, 3, 4 and 5 ONLY ONCE. How many numbers can be formed when 2 and 3 are not together ?
Choices:
72
36
60
120
Answer: A
Question: A water tank is two-fifth full.Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes.If both the pipes are open,how long will it take to empty or fill the tank completely?
Choices:
6 min.to empty
5 min.to empty
4 min.to empty
7 min.to empty
Answer: A
Question: 3 men and 8 women complete a task in same time as 6 men and 2 women do. How much fraction of work will be finished in same time if 4 men and 2 women will do that task.
Choices:
5/7
5/18
5/16
5/11
Answer: A
Question: Jessica can text 85 words per minute, while Maurice can text 55 words per minute. An abridged English translation of Tolstoy’s War and Peace contains 410,400 words. Working together, how many days will it take Jessica and Maurice to text the entire abridged translation of War and Peace?
Choices:
1.9
3
9
11.3
Answer: A
Question: A case of 12 rolls of paper towels sells for $9. The cost of one roll sold individually is $1.What is the percent W of savings per roll for the 12-roll package over the cost of 12 rolls purchased individually?
Choices:
11%
15%
25%
90%
Answer: C
Question: In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Choices:
2/7
3/7
7/9
1/7
Answer: A
Question: The speed of a train is 70 kmph. What is the distance covered by it in 10 minutes?
Choices:
11.66 kmph
21.66 kmph
12.66 kmph
11.96 kmph
Answer: A
Question: pipes P and Q would fill a cistern 18 and 24 minutes respectively. Both pipes being opened, find when the first pipe must be turned off so that the cistern may be just filled in 12 minutes?
Choices:
after 9 mins
after 8 1/2 mins
after 10 mins
after 15 mins
Answer: A
Question: It takes 6 beavers 10 hours to build a certain dam, working at a uniform rate. If three beavers start to build the same dam at 8:00 AM, and one beaver per hour is added beginning at 6:00 PM, at what time will the dam be complete?
Choices:
8:00 PM
9:00 PM
10:00 PM
11:00 PM
Answer: D
Question: For a performance, a few dancers are arranged in a row. Nancy is standing in the middle of the row at the 6th position.
Can you find out the total number of girls in that row?
Choices:
9
10
11
12
Answer: C
Question: A train 250 m long passed a pole in 25 sec. How long will it take to pass a platform 700 m long?
Choices:
89 sec
95 sec
16 sec
15 sec
Answer: B
Question: A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
62%
12%
8%
22%
Answer: B
Question: In a classroom teacher has 20 boxes, they issues 8 boxes gifted to their students. Then how many boxes they had?
Choices:
28
12
15
9
Answer: B
Question: Two quarts containing 5⁄6 water and 1/6 formula are mixed with three quarts containing 7⁄10 water and 2⁄10 formula. Approximately what percent of the combined five-quart mixture is water?
Choices:
72.4%
75%
73.4%
65.4%
Answer: B
Question: The sum of the first n positive perfect squares, where n is a positive integer, is given by the formula n^3/3 + c*n^2 + n/6, where c is a constant. What is the sum of the first 16 positive perfect squares?
Choices:
1,164
1,240
1,316
1,496
Answer: D
Question: What is the least value of x. So that 23x57 is divisible by 3.
Choices:
0
1
3
4
Answer: B
Question: Ana climbs up stairs 20 floors building and back. She takes the exact same route both ways. On the trip up she climbs an average speed of 2 steps per second. On the trip back she climbs down at an average speed of 4 steps per second. What is her approximate average speed for the round trip in miles per hour?
Choices:
1.25
1.33
1.5
1.75
Answer: B
Question: A drawer holds 5 red hats and 5 blue hats. What is the probability of getting exactly three red hats or exactly three blue hats when taking out 6 hats randomly out of the drawer and returning each hat before taking out the next one?
Choices:
1/4
5/8
5/16
7/16
Answer: C
Question: The population of a town is 176400. If it increase at the rate of 5% per annum. What was its population 1 year ago?
Choices:
214560
168000
210000
200000
Answer: B
Question: For any non-zero a and b that satisfy |ab| = -ab and |a| = -a, |b-4| + |ab-b| =
Choices:
ab-4
ab+4
ab-2b+4
4-ab
Answer: A
Question: A train passes a 50 metres long platform in 14 seconds and a man standing on the platform in 10 seconds. The speed of the train is:
Choices:
36 km/hr
40 km/hr
45 km/hr
None of these
Answer: C
Question: A multiple choice test consists of 4 questions, and each question has 5 answer choices. In how many F ways can the test be completed if every question is unanswered?
Choices:
120
625
720
1024
Answer: B
Question: A grocer has a sale of Rs. 6400, Rs. 7000, Rs. 6800, Rs. 7200 and Rs. 6500 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Choices:
Rs. 4700
Rs. 4800
Rs. 5000
Rs. 5100
Answer: D
Question: In a room there are 11 people. Each person shook hands with every other person. How many hand shakes were there?
Choices:
53
54
55
56
Answer: C
Question: What is the dividend. divisor 16, the quotient is 8 and the remainder is 4
Choices:
128
130
131
132
Answer: D
Question: How many total number of ways in which y distinct objects can be put into two different boxes is
Choices:
2y
2n
3n
None of these
Answer: A
Question: Find the number of ways in which 7 different beads can be arranged to form a necklace.
Choices:
20
420
60
80
Answer: B
Question: Five pieces of wood have an average length of 126cm and a median length of 140cm. What is the maximum possible length, in cm, of the shortest piece of wood?
Choices:
b) 105
c) 110
d) 130
e) 140
Answer: A
Question: A Vendor sells 10 clips for a rupee gaining thereby 40%. How many clips did he buy for a rupee?
Choices:
12
14
15
None
Answer: B
Question: If c is an even integer and c/18 is an odd integer, which of the following is NOT an even integer?
Choices:
(c^2)/16
(c^2)/9
(c^2)/6
(c^2)/2
Answer: A
Question: Out of nine consonants and three vowels, how many words can be made so that each word contains two consonants and three vowels?
Choices:
3510
3920
4320
4750
Answer: C
Question: 7 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange themselves around the diamond?
Choices:
632
720
240
256
Answer: B
Question: Eighteen years ago, a father was three times as old as his son. Now the father is only twice as old his son. Then the sum of the present ages of the son and the father is?
Choices:
168 years
186 years
108 years
178 years
Answer: C
Question: If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is?
Choices:
35%
95%
15%
25%
Answer: D
Question: The length of a rectangle is halved, while its breadth is tripled. What is the % change in area?
Choices:
40%
50%
60%
65%
Answer: B
Question: The largest 5 digit number exactly divisible by 91 is?
Choices:
99918
99921
99923
99929
Answer: A
Question: 5^100 is divided by 18 then what is the remainder?
Choices:
11
13
15
16
Answer: B
Question: In Smithtown, the ratio of right-handed people to left-handed people is 3 to 1 and the ratio of men to women is 3 to 2. If the number of right-handed men is maximized, then what S percent of all the people in Smithtown are left-handed women?
Choices:
40%
25%
20%
10%
Answer: B
Question: 60kg of an alloy A is mixed with 100 kg of alloy B. If alloy A has lead and tin in the ratio 3:2 and alloy B has tin and copper in the ratio 1:4, then the amount of tin in the new alloy is?
Choices:
44kg
20kg
30kg
52kg
Answer: A
Question: Find the highest common factor of 36 and 84.
Choices:
6
12
18
20
Answer: B
Question: In an election between two candidates A and B, the number of valid votes received by A exceeds those received by B by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 5720 votes were polled, then how many valid votes did B get?
Choices:
1859
2834
2777
2991
Answer: A
Question: People are allowed to add an apple or take an apple from a large barrel. If people are only adding apples, the barrel can be filled in 5 hours. If people only take apples, the barrel can be emptied in 15 hours. If it is desired that the barrel should be filled, from empty, exactly 6 hours after people begin adding apples at 9:30am, then at what time should people begin taking apples?
Choices:
10:45am
12:00pm
12:30pm
1:30pm
Answer: C
Question: A women walking at 4 Kmph reaches her office 8 minutes late. If she walks at 6 Kmph, she reaches there 8 minutes earlier. How far is the office from her house?
Choices:
3 1/5 Km
4 1/3 Km
5 Km
5 1/3 Km
Answer: A
Question: A began business with 12500 and is joined afterwards by B with 25000. When did B join, if the profits at the end of the year are divided equally?
Choices:
9 months
10 months
6 months
None of these
Answer: C
Question: At a circular table for ten will sit eight adults and two small children. The two children will sit next to each other, and the two parents of the children will sit next to the children so that there is one parent on each side of the two children. If rotating their positions around the table is not considered changing the arrangement, in how many different ways can the ten people be arranged around the table.
Choices:
1660
2440
2880
3200
Answer: C
Question: The perimeters of two squares are 60 cm and 40 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares?
Choices:
24 cm
88 cm
44.8 cm
34 cm
Answer: C
Question: Of the diplomats who attended a summit conference: 20 spoke Latin, 32 did not speak Russian and 20% of the diplomats spoke neither Latin nor Russian. If 10% of the diplomats spoke both Latin and Russian, then how many diplomats attended the conference?
Choices:
96
108
120
150
Answer: C
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
25
36
08
12
Answer: B
Question: If 0.75: x :: 5:7, then x is equal to:
Choices:
1.05
1.2
1.3
None of these
Answer: A
Question: If a man crosses a 650 m long street in 5 minutes. What is his speed?
Choices:
7.1 km/hr
7.8 km/hr
8 km/hr
8.5 km/hr
Answer: B
Question: The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.1045.What was his original salary?
Choices:
1000
765
654
780
Answer: A
Question: Two dogsled teams raced across a 300 mile course in Wyoming. Team A finished the course in 3 fewer hours than team E. If team A's average speed was 5 mph greater than team E's, what was team E's average mph?
Choices:
15
18
20
25
Answer: C
Question: Find the largest 6 digit number which is exactly divisible by 88?
Choices:
998907
999944
999954
999990
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
180 metres
324 metres
150 metres
170 metres
Answer: C
Question: How many of the positive divisors of 600 are also multiples of 4 not including 600?
Choices:
8
9
11
12
Answer: C
Question: A bookseller has two display windows. She plans to display 4 new fiction books in the left window, and 3 new non-fiction books in the right window. Assuming she can put the four fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows?
Choices:
72
144
336
420
Answer: B
Question: How many even 4-digit integers greater than 8000 are there such that all their digits are different?
Choices:
369
469
520
599
Answer: B
Question: A marketing firm determined that, of 200 households surveyed, 80 used neither Brand K nor Brand B soap, 60 used only Brand K soap, and for every household that used both brands of soap, 3 used only Brand B soap. How many of the 200 households surveyed used both brands of soap?
Choices:
20
30
40
45
Answer: C
Question: John deposited $10,000 to open a new savings account that earned 2 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in John’s account 6 months after the account was opened?
Choices:
$10,100.25
$10,200.75
$10,201.00
$10,400.35
Answer: A
Question: If 3<(7-x)/3, which of the following must be true?
I. 5<x
II. |x+3|>2
III. -(x+5) is positive
Choices:
III only
I and II only
II and III only
I, II and III
Answer: B
Question: Listed below are the mean temperatures measured in the Tokharian desert in a certain month. What is the median temperature T in that particular month?
Mean Temp (C°) No. of days
29 --------------------> 5
30 --------------------> 11
31 --------------------> 8
32 --------------------> 6
Choices:
30
30.5
31
32
Answer: A
Question: Which among the following integers represents a sum of 3 consecutive even integers?
Choices:
303
400
554
582
Answer: D
Question: Find the number of terms in the series 8, 12, 16, . . .72
Choices:
17
19
20
21
Answer: A
Question: As part of her MBA program, Karen applied for three different Spring Break outreach projects, each of which selects its students by a random lottery of its applicants. If the probability of her being accepted to each individual project is 25%, what is the probability that Karen will be accepted to at least one project?
Choices:
37/64
15/32
7/16
5/8
Answer: A
Question: AB
+BA
___
202
In the addition problem above, A and B represent digits in two different two-digit numbers. What is the sum of A and B?
Choices:
8
9
20
14
Answer: C
Question: The weight of every type A widget is the same, the weight of every type B widget is the same, and the weight of every type C widget is the same. If the weight of 7 type A widgets is equal to the weight of 2 type B widgets, and the weight of 3 type B widgets is equal to the weight of 7 type C widgets. What is the ratio of the total weight of 1 type A widget and 1 type B widget, to the total weight of 1 type B widget and 1 type C widget?
Choices:
3:4
5:6
7:8
9:10
Answer: D
Question: A fraction bears the same ratio to 1/27 as 3/7 does to 5/9. The fraction is?
Choices:
1/35
1/34
1/37
1/23
Answer: A
Question: The set S consists of 5 numbers: {1,2,3,4,5}. If all possible subsets including the null set are created and one subset is chosen at random, what is the probability that the subset has 4 or 5 as its largest number?
Choices:
2/3
3/4
5/8
11/16
Answer: B
Question: What will be 50 percent of a number whose 200 percent is 90 ?
Choices:
72
22.5
None of these
Cannot be determined
Answer: B
Question: The difference between the local value and the face value of 6 in the numeral 85475641 is
Choices:
954
594
584
458
Answer: B
Question: A gambler bought $3,000 worth of chips at a casino in denominations of $30 and $100. That evening, the gambler lost 16 chips, and then cashed in the remainder. If the number of $30 chips lost was 2 more or 2 less than the number of $100 chips lost, what is the largest amount of money that the gambler could have received back?
Choices:
$2,120
$1,960
$1,920
$2,030
Answer: D
Question: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
A.	160
B.	175
C.	180
D.	195
Explanation:
Choices:
175
180
185
195
Answer: A
Question: When positive integer s is divided by 6, the remainder is 1. Which of the following must be true?
I. s is a prime number
II. s is odd
III. s is divisible by 7
Choices:
II only
III only
I and II only
II and III only
Answer: A
Question: If a carpenter completes 3/8th of his work in 6 days, then how many more days will he require completing his remaining work?
Choices:
10
6
16
18
Answer: A
Question: Listed below are the mean temperatures measured in the Tokharian desert in a certain month. What is the median temperature Q in that particular month?
Mean Temp (C°) No. of days
29 --------------------> 5
30 --------------------> 11
31 --------------------> 8
32 --------------------> 6
Choices:
30
30.5
31
32
Answer: A
Question: A man can row upstream at 10kmph and downstream at 28 kmph. The speed of the stream is
Choices:
4 km/hr
5 km/hr
10.5 km/hr
None
Answer: A
Question: Pascal has 96 miles remaining to complete his cycling trip. If he reduced his current speed by 4 miles per hour, the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50%. What is his current speed T?
Choices:
8
10
12
16
Answer: A
Question: A certain stock exchange designates each stock with a two-letter or three-letter code, where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order constitute a different code, how many different stocks is it possible to uniquely designate with these codes using only the vowels A, E, I, O, or U?
Choices:
120
130
140
150
Answer: D
Question: Which of the following must be true if b=x^5
I. b is positive.
II. x is non-negative.
III. If x is positive then b is positive.
Choices:
II and III only
II only
I and III only
III only
Answer: C
Question: If 2 >p > 1> q > 1, which of the following must be greater than 1?
I.	p/q
II.	pq
III.	p-q
Choices:
I and II
I only
II only
III only
Answer: A
Question: The average of 9 numbers is 104. Average of the first 5 of them is 99 and that of the last 5 is 100. Find the 5th number?
Choices:
59
63
75
88
Answer: A
Question: There are 28 stations between Kolkatta and Chennai. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
Choices:
870
1070
1000
800
Answer: A
Question: A student,after his teacher's question, chose a number, multiplied it by 2, then subtracted 138 from the result and got 102. What was the number he chose?
Choices:
251
411
212
120
Answer: D
Question: If Y > X and XM < YM, what must be true?
Choices:
M > 0.
X < 0.
M < 0.
Y < 0.
Answer: A
Question: The tax on a commodity is diminished by 20% and its consumption increased by 15%. The effect on revenue is?
Choices:
6
5
5
4
Answer: A
Question: A simple interest amount of rs 5000 for six month is rs 200. what is the anual rate of interest?
Choices:
6%
8%
9%
7%
Answer: B
Question: f n = 3^5 - 2^5, which of the following is NOT a factor of n?
Choices:
422
633
100
844
Answer: C
Question: In how many ways can be 6 boys and 6 girls sit around circular table so that no two boys sit next to each other?
Choices:
(6!)^2
5!6!
11!
(5!)^2*6!
Answer: B
Question: A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1480?
Choices:
Rs.108
Rs.100
Rs.103
Rs.102
Answer: B
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
225 m
245 m
250 m
270 m
Answer: B
Question: A car owner buys petrol at 7.50, 8.00 and 8.50 per litre for three successive years. What approximately is his average cost per litre of petrol if he spends 4000 each year?
Choices:
9
7.98
8.50
None of these
Answer: B
Question: 128% of 5/8 =
Choices:
0.5
0.6
0.8
1.0
Answer: C
Question: 0, 1, 2, 4, 6, 9, 12, 16, ?
What number should replace the question mark?
Choices:
20
19
26
47
Answer: A
Question: The product of x and y is a constant. If the value of x is increased by 60%, by what percentage must the value of y be decreased?
Choices:
32%
35%
37.5%
40%
Answer: C
Question: Two trains 300 m and 450 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
27
10.4
10.8
10.1
Answer: A
Question: By selling 33 metres of cloth , one gains the selling price of 11 metres . Find the gain percent .
Choices:
25%
30%
45%
50%
Answer: D
Question: A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 30%?
Choices:
2/6
3/6
9/6
15/2
Answer: D
Question: a, b, c are non negitive integers such that 28a+30b+31c = 365. a + b + c = ?
Choices:
12
88
73
92
Answer: A
Question: Write 880,000,000,000 in scientific notation.
Choices:
8.8 * 10^11
8.900 * 10^11
80.9000* 10^11
08.900 * 10^11
Answer: A
Question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
Choices:
10 %
15 %
22 1/2%
21%
Answer: C
Question: If n is a prime number, which of the following could be true
Choices:
n^n/4 = 1^(n-1)
(n)(n^n) = is negative
n^2+n^3= n^5
n^n=n
Answer: A
Question: How many multiples of 4 are there between 20 and 112, inclusive?
Choices:
22
23
24
25
Answer: C
Question: If w is 40 percent less than u,u is 40 percent less than y, and z is 46 percent less than y, then z is greater than w by what percent of w?
Choices:
18%
36%
40%
50%
Answer: D
Question: A certain company’s profit in 1996 was 20 percent greater than its profit in 1995, and its profit in 1997 was 20 percent greater than its profit in 1996. The company’s profit in 1997 was what percent greater than its profit in 1995?
Choices:
18%
33%
44%
38%
Answer: C
Question: Pat's watch gains an extra 10 seconds every 3 hours. Kim's watch loses 4 seconds every 2 hours. If both watches are set to correct time at 8 o'clock in the morning and run without interruption, after 36 hours, what will be the difference in time between Pat's watch and Kim's watch?
Choices:
3 min 15 sec
3 min 14 sec
3 min 13 sec
3 min 12 sec
Answer: D
Question: A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 50 paisa and Z gets 40 paisa. If the share of X is RS. 30, what is the total amount?
Choices:
55
62
47
57
Answer: D
Question: Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that, how many faces does the resultant solid have
Choices:
6
9
5
12
Answer: C
Question: Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $240, what were her original savings?
Choices:
$800
$960
$700
$1500
Answer: B
Question: A apple costs Rs 20 each and a watermelon costs Rs. 7 each. If I spend Rs 47 on total what is the number of apple I purchased?
Choices:
6
2
7
8
Answer: B
Question: Of the science books in a certain supply room, 50 are on botany, 65 are on zoology, 90 are on physics. 30 are on geology, and 100 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same science?
Choices:
159
166
285
304
Answer: D
Question: A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately?
Choices:
10.8 km/hr
18.8 km/hr
80.8 km/hr
10.1 km/hr
Answer: A
Question: A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 3000. The difference between the profit shares of A and C is?
Choices:
276
236
600
1200
Answer: D
Question: In 1979 approximately 1/3 of the 37.3 million airline passengers traveling to or from the United States used Kennedy Airport. If the number of such passengers that used Miami Airport was 1/2 the number that used Kennedy Airport and 5 times the number that used Logan Airport, approximately how many millions of these passengers used Logan Airport that year?
Choices:
9.3
1.2
3.1
1.6
Answer: B
Question: What will come in place of the x in the following Number series? 5, 10, 20, x , 55
Choices:
37
55
50
43
Answer: B
Question: In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what`s the approximate number of fish in the pond?
Choices:
625
1250
2500
10 000
Answer: B