antoine-444/aqua_rat_dataset huggingface dataset:
Question: If d=1/(2^3*5^8) is expressed as a terminating decimal, how many nonzero digits will d have?
Choices:
Two
Three
Seven
Ten
Answer: A
Question: If W is the set of all the integers between 39 and 99, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then W contains how many numbers?
Choices:
32
33
34
40
Answer: D
Question: Heinz produces tomato puree by boiling tomato juice. The tomato puree has only 20% water while the tomato juice has 90% water. How many litres of tomato puree will be obtained from 20 litres of tomato juice?
Choices:
2.4 litres
2.5 litres
6 litres
4 litres
Answer: B
Question: A can do a job in 15days and B in 30days. If they work on it together for 4 days, then the fraction of the work that is left is?
Choices:
3/5
3/11
1/12
6/13
Answer: A
Question: A professional janitor can clean a certain high school in 480 minutes, working at a constant rate. A student sentenced to detention can clean that same high school in 20 hours, also working at a constant rate. If the student is paid $7 total per hour and the janitor is paid $21 per hour, how much more would it cost the school to pay the janitor to do the job himself than it would to pay the student and the janitor to do the job together?
Choices:
-$6
$0
$6
$8
Answer: D
Question: A smartphone manufacturer sold 20 thousand low end smartphone at $100 each within a given period. The company also sold 12 thousand mid range smartphones at $220 each and 5 thousand high end smartphones at $649 each within the same period. What percentage of the company's revenue came from mid range and high end smartphones?
Choices:
74.6
60.%
70%
76.2%
Answer: A
Question: What is the least whole number that should be added to 784839 if it is to be divisible by 10?
Choices:
2
1
5
6
Answer: B
Question: In Orange County, one fourth of the people are gathering mushrooms and one seventh of the people are collecting apples. What can be the number of people in Orange County?
Choices:
75
85
160
252
Answer: D
Question: An item is being sold for $10 each. However, if a customer will “buy at least 3” they have a promo discount of 15%. Also, if a customer will “buy at least 10” items they will deduct an additional 28% to their “buy at least 3” promo price. If Sam buys 10 pcs of that item how much should he pay?
Choices:
$88.00
$87.04
$80.96
$60.00
Answer: D
Question: A cistern 12 meters long and 4 meters wide contains water up to a depth of 1 meter 25 cm. What is the total area of the wet surface?
Choices:
72
80
88
96
Answer: C
Question: The charge for a single room at Hotel P is 40 percent less than the charge for a single room at Hotel R and 10 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G?
Choices:
20%
40%
50%
E.150%
Answer: C
Question: In how many ways can 16 different gifts be divided among four children such that each child receives exactly two gifts?
Choices:
(4!)^4
16!/(2!)^4
16!/2!
4^16
Answer: B
Question: 189. The inside dimensions of a rectangular wooden box
are 4 inches by 6 inches by 8inches. A cylindrical
canister is to be placed inside the box so that it stands
upright when the closed box rests on one of its six
faces. Of all such canisters that could be used, what is
the radius, in inches, of the one that has maximum
volume?
Choices:
3
5
6
8
Answer: A
Question: If s and t are positive integers such that s/t = 64.15, which of the following could be the remainder when s is divided by t?
Choices:
16
18
20
22
Answer: B
Question: B and C started a business investing Rs. 72,000 and Rs. 45,000 respectively. In what ratio the profit earned after 7 years be divided between B and C respectively?
Choices:
5:8
5:7
8:5
None of these
Answer: C
Question: Which one the following fractions has the biggest value?
Choices:
201/711
191/711
221/711
181/711
Answer: C
Question: Train E leaves New York at 7:00 am traveling to Boston at 80mph. Train B leaves Boston at 7:45 am traveling to New York at 70 mph on a parallel track. If the distance between New York and Boston is 210 miles, at what time will the two trains pass each other?
Choices:
8:45 am
9:00 am
9:30 am
Cannot be determined from the information given
Answer: A
Question: A alone can finish a work in 20 days. And B alone can finish same work in 25 days.both together work for 5 days.after that B leave that work.in how many days A alone can finish remaining work?
Choices:
11
13
14
15
Answer: A
Question: In Town P, 70 percent of the population are employed, and 42 percent of the population are employed males. What percent of the employed people in Town P are females?
Choices:
30%
35%
40%
45%
Answer: C
Question: The ratio of boarders to day scholars at a school is 7 to 16. However, after a few new students join the initial 560 boarders, the ratio changed to 1 to 2, respectively. If no boarders became day scholars and vice versa, and no students left the school, how many boarders joined the school?
Choices:
64
70
80
84
Answer: C
Question: The value of x + x(xx) when x = 3
Choices:
A)30
C) 38
D) 36
E) 64
Answer: A
Question: On average, Machine A will produce a completed item once every 2 minutes, and Machine B will produce a completed item once every nine minutes. The number of items Machine A produces in a 24-hour period is approximately what percent greater than the number of items Machine B would produce in that same period?
Choices:
325%
350%
250%
470%
Answer: B
Question: A restaurant meal cost $39.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between
Choices:
$44 and $46
$38 and $40
$37 and $39
$36 and $37
Answer: A
Question: What number is 76 more than one-fourth of itself?
Choices:
101
304
324
336
Answer: A
Question: There are 3 persons Sudhir, Arvind, and Gauri. Sudhir lent cars to Arvind and Gauri as many as they had already. After some time Arvind gave as many cars to Sudhir and Gauri as many as they have. After sometime Gauri did the same thing. At the end of this transaction each one of them had 24. Find the cars each originally had.
Choices:
Sudhir had 38 cars, Arvind had 21 cars and Gauri had 12 cars.
Sudhir had 39 cars, Arvind had 21 cars and Gauri had 12 cars.
Sudhir had 32cars, Arvind had 21 cars and Gauri had 12 cars.
Sudhir had 36 cars, Arvind had 21 cars and Gauri had 12 cars.
Answer: B
Question: 33 1/3% OF 390?
Choices:
90
110
120
130
Answer: D
Question: 4 people are sitting in a 4 seat row watching a football game. At halftime they all get up. When they return, they each randomly sit down on one of the 6 chairs. What is the likelihood that none of the 4 end up sitting in the same chair that they sat in during the first half?
Choices:
9/24
15/24
18/24
3/4
Answer: D
Question: Cindy has her eye on a sundress but thinks it is too expensive. It goes on sale for 15% less than the original price. Before Cindy can buy the dress, however, the store raises the new price by 25%. If the dress cost $71.4 after it went on sale for 15% off, what is the difference between the original price and the final price?
Choices:
$1.00
$3.40
$5.25
$6.80
Answer: C
Question: In how many ways can 2 men & 4 women can be made from a gang of 4 men & 7 women ?
Choices:
41
45
78
89
Answer: A
Question: Mr. Thomas invested an amount of 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be 3508, what was the amount invested in Scheme B?
Choices:
6500
2280
3400
3490
Answer: A
Question: Joe has a bunch of change in his pocket? Which of the following choices is the correct amount of change?
Choices:
85 cents
29 cents
39 cents
51 cents
Answer: B
Question: How much interest can a person get on Rs. 8600 at 17.5% p.a. simple interest for a period of two years and six months?
Choices:
3587.59
3587.5
3762.5
3587.56
Answer: C
Question: A shirt goes on sale for 80% of its original price. One week later, the sale price is marked down 20%. The final price is what percent of the original price?
Choices:
70%
52%
64%
28%
Answer: C
Question: Excluding stoppages, the speed of a train is 54 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
Choices:
20
15
18
12
Answer: A
Question: Insert the missing number. 12, 25, 49, 99, 197, 395, (...)
Choices:
789
12
23
28
Answer: A
Question: If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in
Choices:
2 days
3 days
5 days
4 days
Answer: B
Question: If Rs. 510 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively?
Choices:
Rs.360
Rs.389
Rs.368
Rs.323
Answer: A
Question: A money lender finds that due to a fall in the annual rate of interest from 8% to 7 3/4 % his yearly income diminishes by Rs. 63.50, his capital is?
Choices:
28,888
24,600
24,628
24,400
Answer: D
Question: When running a mile during a recent track meet, Nuria was initially credited with a final time of 6 minutes, 44 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a minute after she began to run. If the time was otherwise correct, how long did it actually take Nuria to run the mile?
Choices:
5 minutes, 21.8 seconds
5 minutes, 43.56 seconds
5 minutes, 44.44 seconds
7 minutes, 10.4 seconds
Answer: D
Question: A cycle is bought for Rs.900 and sold for Rs.1440, find the gain percent?
Choices:
20%
23%
74%
60%
Answer: D
Question: IF A fair coin with sides marked heads and tails is to be tossed eight times. What is the probability that the coin will land tails side up more than five times?
Choices:
A)37/256
C)65/256
D)70/256
E)81/256
Answer: A
Question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
Choices:
22 8/2 %
25 1/2 %
22 1/2 %
22 5/2 %
Answer: C
Question: If a = (1/2)b and c = 5a, then which of the following represents the average (arithmetic mean) of a, b, and c, in terms of a ?
Choices:
(8/3)a
4a
(4 1/7)a
(7 1/4)a
Answer: A
Question: In how many ways can 4 arts and 5 science students be arranged in a row so that the arts and the science students are placed alternately?
Choices:
2880
3260
5200
360*120
Answer: A
Question: In a recent survey 40% houses contained two or more people. Of those houses containing only one person 25% were having only a male. What is the percentage of all houses which contain exactly one female and no males?
Choices:
40
15
Cannot be determined
None of these
Answer: D
Question: What is the next number of the following sequence
1,3,4,5,6,7,1,9,16,25,36,...
Choices:
15
16
17
49
Answer: D
Question: A certain list consists of 21 different numbers. If n is in the list and n is 6 times the average (arithmetic mean) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list?
Choices:
1/6
1/5
3/13
5/21
Answer: C
Question: S = { 1,2,3,5,6}
T = { 2,3,6,7 }
what is the probability that x chosen from S and y chosen from T will result x*y = even
Choices:
3/8
7/10
10/7
3/8
Answer: B
Question: What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
Choices:
14
20
21
30
Answer: B
Question: Three different containers contain 496 litres, 403 litres and 713 litres of mixture of milk and water respectively. What is the biggest measure can measure all the different quantities exactly ?
Choices:
31 litres
35 litres
19 litres
26 litres
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 15 seconds. Find the length of the train?
Choices:
250 meter
167 meter
719 meter
169 meter
Answer: A
Question: In a race with 30 runners where 4 trophies will be given to the top 6 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?
Choices:
8^9 ways
6^4 ways
8^7 ways
8^6 ways
Answer: B
Question: A student read 40 pages per day on average in a 10 days period. How many pages must the student read on the next day to increase the average to 45 pages per day?
Choices:
25
45
55
95
Answer: D
Question: If the area of a square with sides of length 3 centimeters is equal to the area of a rectangle with a width of 3 centimeters, what is the length of the rectangle, in centimeters?
Choices:
3
12
16
18
Answer: A
Question: A certain league has three divisions. The respective divisions had 8, 10, and 11 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion?
Choices:
52
54
56
57
Answer: D
Question: Some times small town drivers can be very rude. One taxi driver I had the occasion to travel with was particularly lacking in courtesy, and so I asked for his number.
The driver gave me a sardonical smile and said. 'Well, if you divide my number by 2, 3, 4, 5 or 6 you will find there is always 1 remaining. But if you divide it by 11 there is no remainder. Do you want to know something more? There is no other cabby in this town with a lower number than---who can say the same.,' and he drove off, while I stood there completely baffled.
What was the man's number?
Choices:
121
165
133
117
Answer: A
Question: If a tap could fill entire tank in 18 hrs due to leakage, then in how much time
tank can be emptied by leakage if tap can fill entire tank in 14 hrs without leakage
Choices:
63hrs
36hrs
48hrs
52hrs
Answer: A
Question: What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30,35,38 x
Choices:
26
36
35
43
Answer: D
Question: A camera lens filter kit containing 5 filters sells for $67.50. If the filters are purchased individually, 2 of them are priced at $7.45 each, 2 at $10.05 each, 1 at $14.50. The amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually?
Choices:
26.66%
27.66%
28.66%
29.66%
Answer: A
Question: The equation (M )/63 = (p )/21 relates two temperature scales, where M is the number of degrees on one scale and P is the number of degrees on the other scale. Which of the following equations can be used to convert temperatures from the P scale to the M scale?
Choices:
2P
4P
3P
7P
Answer: C
Question: what is the unit digit in [(6273)^1793x(625)^317x(341)^491]?
Choices:
0
3
5
None of them
Answer: A
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
2:5
3:7
2:1
Answer: A
Question: Andrew has a certain number of coins in his pocket. He has three times as many dimes as quarters and six times as many nickels as dimes. A nickel is worth $0.05, a dime is worth $0.10 and a quarter is worth $0.5. If he has a total of $10.15, then which of the following represents the number of dimes in Andrew’s pocket?
Choices:
10
16
20
18
Answer: D
Question: A sum was put at simple interest at certain rate for 3 years. Had it been put at 1% higher rate it would have fetched Rs. 66 more. The sum is: A. Rs. 2,400 B. Rs. 2,100 C. Rs. 2,200 D.Rs. 2,480
Choices:
2100
2200
2300
2400
Answer: B
Question: A property decreases in value every year at the rate of 6 1/4% of its value at the beginning of the year its value at the end of 3 years was Rs.21093. Find its value at the beginning of the first year?
Choices:
25600.24
25600.28
25600.21
25600.29
Answer: A
Question: When working alone, painter W can paint a room in 2 hours, and working alone, painter X can paint the same room in e hours. When the two painters work together and independently, they can paint the room in 3/4 of an hour. What is the value of e?
Choices:
1[1/5]
1[2/5]
1[3/4]
2
Answer: A
Question: A new apartment complex purchased 60 toilets and 20 shower heads. If the price of a toilet is three times the price of a shower head, what percent of the total cost was the cost of all the shower heads?
Choices:
297
26
19
10
Answer: D
Question: The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:
Choices:
32
40
53
54
Answer: B
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 48, the dividend is?
Choices:
5808
5830
5835
5836
Answer: A
Question: Point (e,f) is on the circle represented by e^2+f^2=10, and e, f are integers. How many such points are possible?
Choices:
2
4
6
8
Answer: D
Question: In a graduating class, 40 percent of the students are male. In this class, 40 percent of the male students and 20 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
Choices:
0.72
0.45
0.35
0.28
Answer: A
Question: What will come in place of the x in the following Number series? 2, 2, 4, 12, 48, 240, x
Choices:
960
1440
480
540
Answer: B
Question: Two good train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km / hr and 30 km /hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
Choices:
24 sec
48 sec
60 sec
None
Answer: B
Question: 2x + y = 14
|y| <= 14
For how many ordered pairs (x , y) that are solutions of the system above are x and y both integers?
Choices:
12
13
14
15
Answer: D
Question: Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs.100, then find the CP of sugar?
Choices:
Rs. 2(2/9)
Rs. 2(2/7)
Rs. 2
Rs. 3(1/9)
Answer: A
Question: A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Choices:
20
88
77
14
Answer: A
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 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:
4991
5491
6991
6491
Answer: A
Question: With out any halt a train travels a certain distance with an average speed of 40 km ph , and with halts it covers the same distance at an average speed of 25 kmph. When it is traveling with halts, how many minutes/per hour does the train halt on an average ?
Choices:
12min.
15min.
36min.
19min.
Answer: C
Question: A milkman sells his milk at CP but he mixes it with water and thereby gains 25%. What is the % of water in the mixture?
Choices:
12%
20%
25%
30%
Answer: B
Question: A person has four iron bars whose lengths are 24 m, 36 m, 48 m and 72 m respectively. This person wants to cut pieces of same length from each of four bars. What is the least number of total pieces if he is to cut without any wastage?
Choices:
12
15
13
17
Answer: B
Question: 165 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?
Choices:
66 liters
41 liters
50 liters
34 liters
Answer: A
Question: The present worth of Rs.338 due in 2 years at 4% per annum compound interest is
Choices:
Rs.312.5
Rs.156.25
Rs.158
None
Answer: A
Question: How many numbers between 100 and 600 are divisible by 2, 3, and 7 together?
Choices:
12
14
16
18
Answer: A
Question: A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Choices:
230 m
260 m
320 m
520 m
Answer: A
Question: Which one of the given numbers is divisible by 11?
Choices:
8423718
8432718
4238718
4852718
Answer: C
Question: If a certain toy store's revenue in November was 3/5 of its revenue in December and its revenue in January was 1/6 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?
Choices:
5/4
10/3
20/7
25/9
Answer: C
Question: Divide Rs.32000 in the ratio 3:7?
Choices:
9600, 22400
12000, 20007
12000, 20006
12000, 20001
Answer: A
Question: The three digits of a number add up to 17. The number is divisible by 5. The leftmost digit is double the middle digit. What is the product of the three digits?
Choices:
160
78
88
125
Answer: A
Question: Peter's One tap, working alone at its maximum constant rate, can fill a certain sink in 220 seconds. A second tap, working alone at its maximum constant rate, can fill the same sink in 224 seconds. If both taps work together at their respective maximum constant rates, the time it will take to fill the sink is closest to
Choices:
111 seconds
177 seconds
200 seconds
270 seconds
Answer: A
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 52 years now, the son's age five years back was?
Choices:
19years
20years
21years
21years
Answer: C
Question: A college has classes from 10:00 AM until 2:00 PM. In this duration, there are five periods. If 5 minutes are provided between each period to leave one class and enter the next class, how many minutes long is each period?
Choices:
41 min
40 min
42 min
44 min
Answer: D
Question: Lokesh started a business with Rs.30,000 and Ramesh joined him afterwards with Rs.30,000. If profits of both are same after one year then for how many months did Ramesh invest his money?
Choices:
8 months
6 months
5 months
12 months
Answer: D
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Choices:
5 km/h
3 km/h
2 (1/2) km/h
None
Answer: C
Question: The average of first six multiples of 3 is
Choices:
10.5
9
12
15
Answer: A
Question: x varies inversely as square of y. Given that y = 2 for x = 1. The value of x for y = 6 will be equal to?
Choices:
1/3
1/0
1/9
1/5
Answer: C
Question: What is the approximate value of b in the following equation?
18% of 4514 + 25% of 3415 = b
Choices:
1670
1680
1690
1630
Answer: A
Question: John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $16, what was the price before the first discount?
Choices:
$28.44
$48.44
$58.44
$38.44
Answer: A
Question: When the positive integer x is divided by the positive integer y, the quotient is 3 and the remainder is z. When z is divided by y, the remainder is 2. Which of the following could be the value of x?
I. 5
II. 8
III. 32
Choices:
II only
III only
I and II only
I, II and III
Answer: B
Question: The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?
Choices:
16 2/3% loss
16 2/2% loss
16 2/3% loss
16 3/9% loss
Answer: A
Question: Consider the following game, in which a referee picks a random integer between 1 and 100.
One after the other, each of three players tries to guess the number the referee picked. Each
player announces his or her guess before the next player guesses. Each guess has to be different
from the previous guesses. The winner is the player who comes closest to the referee’s
number without exceeding it. (It is possible for none of the players to win.)
Suppose that Player 1 guesses 24, and that Player 3 will guess a number that gives her/him the
best chance of winning. What number should Player 2 guess to maximize his/her chances of
winning?
Choices:
25
62
63
64
Answer: C
Question: The average monthly salary of 20 employees in an organisation is Rs. 1700. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary ?
Choices:
Rs.3800
Rs.1288
Rs.6108
Rs.6011
Answer: A
Question: Out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a GPA equal to or lower than 3.0. How many W applicants majored in political science and had a GPA higher than 3.0?
Choices:
5
15
25
35
Answer: A
Question: A certain bridge is 4,424 feet long. Approximately how many minutes does it take to cross this bridge at a constant speed of 10 miles per hour? (1 mile = 5,280 feet)
Choices:
2
4
5
7
Answer: C
Question: A train 900 m long passed a pole in 9 sec. How long will it take to pass a platform 800 m long?
Choices:
17
19
20
21
Answer: A
Question: Two pipes can fill a tank in 18 minutes and 60 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Choices:
1/16
1/20
1/10
1/12
Answer: B
Question: In a city, the streets are aligned in a grid, where the east-west roads are called 1st Rd, 2nd Rd, 3rd Rd, etc, increasing in number as one moves northward. The north-south roads are called 1st Ave, 2nd Ave, 3rd Ave, etc, increasing in number as one moves eastward. If Bill needs to walk from the corner of 2nd Rd and 3rd Ave to the corner of 9th Rd and 6th Ave in the shortest possible time, how many different routes could he take?
Choices:
120
150
180
210
Answer: A
Question: It takes printer A 4 more minutes more than printer B to print 40 pages. Working together, the two printers can print 50 pages in 6 minutes. How long will it take Printer A to print 60 pages?
Choices:
18
20
24
30
Answer: A
Question: In a 2000 m race, A beats B by 100 meters or 15 seconds. Find the speed of B?
Choices:
2m/s
5m/s
6.7m/s
3m/s
Answer: C
Question: The probability that event A occurs is 0.4, and the probability that event B occurs is 0.45. If the probability that either event A or event B occurs is 0.6, what is the probability that event B and event B will occur?
Choices:
0.25
0.45
0.5
0.55
Answer: A
Question: A 480 m long train is running at a speed of 55 Km/hr. It crossed a platform of length 620 m in ?
Choices:
72 sec
31.8 sec
50.4 sec
none of the above
Answer: A
Question: At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $60,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?
Choices:
$11,200
$12,000
$12,800
$26,400
Answer: D
Question: A train is 360 meter long is running at a speed of 54 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
33.33 seconds
40 seconds
97 seconds
26 seconds
Answer: A
Question: A and B together have $100. If 3/10 of A's amount is equal to 1/5 of B's amount, how much amount does B have?
Choices:
$60
$42
$31
$100
Answer: A
Question: Donovan took a math test and got 35 correct and 14 incorrect answers.
What was the percentage of correct answers? (Round to the nearest
hundredth)
Choices:
67.78%
71.43%
47.78%
97.78%
Answer: B
Question: In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
Choices:
720
825
920
650
Answer: A
Question: A deer runs k miles in n hours. How many miles will it run in x hours at the same rate?
Choices:
k⁄n
kx⁄2n
kx⁄n
kn⁄x
Answer: C
Question: The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/50 of the area of the field. What is the length of the field?
Choices:
32
34
43
80
Answer: D
Question: If the average of 8 digits is 20 and the average of 5 of them is 12, calculate the average of the remaining 3 numbers?
Choices:
38.3
35.3
31.3
33.3
Answer: D
Question: The average weight of 10 men is increased by 1 ½ kg when one of the men who weighs 60 kg is replaced by a new man. What is the weight of the new man?
Choices:
83 kg
70 kg
75 kg
85 kg
Answer: C
Question: Charlene's annual bonus is calculated in the following manner: Charlene receives 20 percent of her first $11,000 in sales and 30 percent of her sales in excess of $11,000. If Charlene received a bonus of $8,500, what were her annual sales?
Choices:
$ 22,000
$ 24,666
$ 26,000
$ 28,000
Answer: B
Question: If four coins are tossed, the probability of getting two heads and two tails is?
Choices:
3/8
3/9
3/1
3/4
Answer: A
Question: Three-fifth of a two digit number exceeds its one fifth by 6. What is the sum of the digits of the number?
Choices:
6
11
12
15
Answer: A
Question: In a restaurant, the profit is 160% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choices:
57%
90%
100%
None of these
Answer: A
Question: An investor purchased 100 shares of stock X at 6 1/8 dollars per share and sold them all a year later at 30 dollars per share. If the investor paid a 2 percent brokerage fee on both the total purchase price and the total selling price, which of the following is closest to the investor's percent gain on this investment?
Choices:
240%
280%
395%
380%
Answer: C
Question: A certain jacket was marked down 20% the first week and another 20% the next week. What percent of the regular price was the final cost of the jacket after the two markdowns?
Choices:
36%
40%
60%
64%
Answer: D
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 grams.
2873 1/3 grams.
273 1/3 grams.
832 1/3 grams.
Answer: A
Question: Of 100 apples in a tree, 30 percent are green. How many red apples must be picked in order to bring the number of green apples up to 50 percent of the apples in the tree?
Choices:
40
30
70
20
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:
77
72
55
88
Answer: B
Question: The time it took car P to travel 300 miles was 2 hours less than the time it took car R to travel the same distance. If car P’s average speed was 10 miles per hour greater than that of car R, what was car R’s average speed, in miles per hour?
Choices:
34
60
70
80
Answer: A
Question: A flagstaff 17.5 m high casts a shadow of length 40.25 m. What will be the height of a building, which casts a shadow of length 28.75 m under similar conditions?  
Choices:
12.5 m
14
12
10
Answer: A
Question: A student can select one of 8 different math book, one of 3 different chemistry book & one of 4 different science book.In how many different ways students can select book of math, chemistry & science.
Choices:
72
96
37
01
Answer: B
Question: In how many ways can the letters of the word APPEAR be rearranged such that the vowels always appear together?
Choices:
3!*3!
4!/2!
4! *3!/(2!*2!)
3!*3!/2
Answer: C
Question: A die is thrown twice and the sum of the numbers appearing is observed to be 6.
find the conditional probability that the number 4 has appeared at least once?
Choices:
2/5
4
4/11
5
Answer: A
Question: How many numbers between 100 and 798 are divisible by 2, 3, and 7 together?
Choices:
77
267
17
99
Answer: C
Question: A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
Choices:
287
288
280
271
Answer: C
Question: Tough and Tricky questions: Absolute Values.
If |a| = 1/5 and |b| = 2/3, which of the following CANNOT be the result of a + b?
Choices:
-13/15
-7/15
7/15
7/5
Answer: D
Question: A sum is divided among C, D and E in such a way that for each rupee C gets, D gets 75 paisa and E gets 50 paisa. If the share of E is RS. 80, what is the total amount?
Choices:
360
340
330
320
Answer: A
Question: How many times will the hands of a clock coincide in a day?
Choices:
22
23
44
42
Answer: A
Question: The sector of a circle has radius of 14 cm and central angle 144o. Find its perimeter?
Choices:
63.2cm
70cm
80cm
90cm
Answer: A
Question: The area of a square is equal to 2 times the area of a rectangle of dimensions 8 cm * 64 cm. What is the perimeter of the square?
Choices:
268
800
128
632
Answer: C
Question: In how many ways can a committee consisting of 4 men and 5 women be formed from a group of 7 men and 8 women?
Choices:
7C4 8C5
7C5 8C4
9C4 7C5
NONE
Answer: A
Question: If p and q are integers and p divided by q is 16.15, then which of the following integers is a possible value for the remainder when p is divided by q?
I. 15
II. 5
III. 3
Choices:
II only
III only
I,III only
II,III only
Answer: C
Question: If, 7 years ago, Jamie was half as old as he is now, how old will he be in x years?
Choices:
x + 14
x + 2
x – 5
2x
Answer: A
Question: Suresh and Ramesh started a business investing Rs. 24,000 and Rs. 40,000 respectively. Out of total profit of Rs. 20,000, what is Ramesh's share?
Choices:
s. 9379
s. 10376
s. 11372
s. 12500
Answer: D
Question: The number of even factors of 21600 is
Choices:
42
60
25
52
Answer: B
Question: C and D walk around a circular track. They start at 11 a.m from the same point in the opposite directions. C and D walk at a speed of 7 rounds per hour and 8 rounds per hour respectively. How many times shall they cross each other before 5 p.m
Choices:
90
100
105
110
Answer: A
Question: Fred and Sam are standing 100 miles apart and they start walking in a straight line toward each other at the same time. If Fred walks at a constant speed of 5 miles per hour and Sam walks at a constant speed of 5 miles per hour, how many miles has Sam walked when they meet?
Choices:
9
25
30
75
Answer: D
Question: In how many ways can the letters {U, U, U, R} be arranged?
Choices:
4
120
720
840
Answer: A
Question: Find the value of X, Y by solving the below equations
X + Y = 12
X - Y = 4
Choices:
8, 4
6, 6
7, 5
9, 3
Answer: A
Question: One hour after Adrienne started walking the 60 miles from X to Y, William started walking from X to Y as well. Adrienne walks 3 miles per hour and William walks 1 mile per hour faster than Adrienne. How far from X will William be when he catches up to Adrienne?
Choices:
9 miles
10 miles
11 miles
12 miles
Answer: C
Question: If -12 < x < 14, Then which of the following must be true ?
Choices:
x <= 13
x > 12
x > -43
x >= 11
Answer: C
Question: The R train leaves station A moving at a constant speed, and passes by stations B and C, in this order. It takes the R train 7 hours to reach station B, and 5 additional hours to reach station C. The distance between stations A and B is m kilometers longer than the distance between stations B and C. What is the distance between stations A and C in terms of m?
Choices:
6m
7m
9m
12m
Answer: A
Question: A towel, when bleached, lost 20% of its length and 20% of its breadth. What is the percentage decrease in area?
Choices:
36 %
32%
54%
64%
Answer: A
Question: A class has a ratio of 3:6:7 of children with red hair, blonde hair and black hair respectively. If the class has 9 kids with red hair, how many kids are there with black hair?
Choices:
6
9
21
63
Answer: C
Question: What is the probability that out of the combinations that can be made using all the letters of the word EXCESS, Jerome will randomly pick a combination in which the first letter is a vowel and the last letter is a consonant?
Choices:
24/180
33/100
48/180
96/180
Answer: C
Question: A, B and C are inner angles in a triangle. If A= B+ C, what can't be the size of B?
Choices:
90 DEGREES
760 DEGREES
940 DEGREES
940 DEGREES
Answer: A
Question: Length of a rectangular plot is 24 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
Choices:
62 m
72 m
82 m
92 m
Answer: A
Question: 8 machines can do a work in 10days. How many machines are needed to complete the work in 40days?
Choices:
2
4
7
5
Answer: A
Question: Calculate the average marks of a student who obtained 56, 60, 72, 85 and 80 marks (out of 100) in Geography, History and Government, Art, Computer Science and Modern Literature ?
Choices:
70.6
80.6
60.6
50.6
Answer: A
Question: If 20,371 + x is a multiple of 4, which of the following could be the value of x?
Choices:
2
3
4
6
Answer: B
Question: The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
Choices:
1683
2677
9972
1611
Answer: A
Question: Plane leaves from Chelsea every 50 minutes from West Ham airport. Air hostess told Frank Lampard that the plane had left 25 minutes ago and the next plane for Chelsea will leave at 7:00 p.m.
At what time air hostess convey this information to Frank Lampard?
Choices:
6:35 pm
4:35 pm
7:35 pm
8:35 pm
Answer: A
Question: A number a is squared and then multiplied by negative 3. The result of this operation is equal to three times the sum of three times a and two. What is one possible value of a ?
Choices:
-2
1
2
3
Answer: C
Question: The value of a machine depreciates at the rate of 10% per annum. If its present value is Rs. 81000, what will be its worth after 2 ears? What was the value of the machine 2 years ago?
Choices:
Rs 65610,Rs 100000
Rs 60000,Rs 90000
Rs 72690,Rs 95700
None of thsee
Answer: A
Question: The balance of a trader weighs 10% less than it should. Still the trader marks up his goods to get an overall profit of 20%. What is the mark up on the cost price?
Choices:
8%
25%
16.66%
9%
Answer: A
Question: What is the probability of getting a number less than 4 when a die is rolled?
Choices:
1/2
5/1
5/7
5/2
Answer: A
Question: There are a total of 17 students in Mr. David's gym class. Over the course of a badminton unit, each of the 17 students will compete exactly once against every other student in the class. How many total games of badminton will be played?
Choices:
136
190
210
153
Answer: A
Question: A company organzied a help desk.there have been done 24 hrs work on software,17 hrs on help user nd 40% on other services.find the total no. of hrs have been worked on that day?
Choices:
68
70
67
76
Answer: A
Question: Rs.4500 amounts to Rs.5544 in two years at compound interest, compounded annually. If the rate of the interest for the first year is 12%, find the rate of interest for the second year?
Choices:
1%
10%
0.1%
0.01%
Answer: A
Question: In a kilometer race, A beats B by 200 meters or 10 seconds. What time does A take to complete the race?
Choices:
190 sec
290 sec
490 sec
40 sec
Answer: D
Question: At what angle the hands of a clock are inclined at 15 minutes past 5?
Choices:
64º
67 1/2 º
72º
77º
Answer: B
Question: A, B and C enter into a partnership. They invest Rs. 50,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?
Choices:
15 : 16 : 28
15 : 4 : 28
3 : 4 : 1
3 : 4 : 5
Answer: A
Question: The average weight of 8 sailors in a boat is increased by 1 kg if one of them weighing 56 kg is replaced by a new sailor. The weight of the new sailor is?
Choices:
60 kg
64 kg
62 kg
66 kg
Answer: B
Question: A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 9 are wrong and the other digits are correct, then the correct answer would be:
Choices:
555181
555681
556581
556881
Answer: B
Question: Express of the following as a fraction:
45%
Choices:
9/20
9/40
9/19
None of them
Answer: A
Question: 39 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?
Choices:
77
26
25
13
Answer: B
Question: a light flashes every 30 seconds, how many times will it flash in ? of an hour?
Choices:
600
650
700
120
Answer: D
Question: A store has 10 bottles of juice, including 5 bottles of apple juice. In the evening, 6 bottles of juice are sold one by one. What is the probability of selling 4 bottles of apple juice among the 6 bottles? Assume that every bottle has an equal chance of being bought.
Choices:
3/11
4/15
5/21
6/25
Answer: C
Question: Last year a worker saved 6% of her annual salary. This year, she made 20% more money than last year and she saved 5% of her salary. The amount she saved this year was what percent of the amount she saved last year?
Choices:
100%
110%
120%
130%
Answer: A
Question: A call center has two teams. Each member of Team A was able to process 6/5 calls as compared to each member of Team B. If Team A has 5/8 as many number of call center agents as Team B, what fraction of the total calls was processed by Team B?
Choices:
3/4
4/7
1/2
1/5
Answer: B
Question: A train 520 meters long is running with a speed of 34 kmph. The time taken by it to cross a tunnel 280 meters long is?
Choices:
89 sec
48 sec
16 sec
17 sec
Answer: A
Question: P is four times as fast as Q and working together, they can complete a work in 5 days. In how many days can Q alone complete the work?
Choices:
6 1/4 days
16 days
25 days
18 days
Answer: A
Question: If y exceeds x by 60%, then x is less than y by?
Choices:
1/2%
1/4%
1/5%
1/6%
Answer: A
Question: The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes?
Choices:
1:27
1:29
1:39
1:22
Answer: A
Question: A plane travels in the shape of equilateral triangle have sped of 20km/hr, 40km/hr and 60km/hr. Find the average speed of the palne.
Choices:
52.73 km/h
32.73 km/h
62.73 km/h
72.73 km/h
Answer: B
Question: How much water must be added to 10 gallons of 10% brine solution to decrease the concentration to 8%?
Choices:
1.5—3 gal
3—4.5 gal
4.5—6 gal
6+ gal
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train?
Choices:
699
677
300
150
Answer: C
Question: In a kilometre race, A can give B a start of 100 m or 15 seconds. How long does A take to complete the race?
Choices:
165 seconds
135 seconds
66.67 seconds
180 seconds
Answer: B
Question: Find the surface area of a cuboid 16 m long, 14 m broad and 7 m high
Choices:
868 sq.cm
727 sq.cm
900 sq.cm
None of these
Answer: A
Question: A student took 6 courses last year and received an average (arithmetic mean) grade of 100 points. The year before, the student took 5 courses and received an average grade of 60 points. To the nearest tenth of a point, what was the student’s average grade for the entire two-year period?
Choices:
89
95
81.81
97.2
Answer: C
Question: The average weight of 40 girls sitting in a bus had some value. A new girl added to them whose weight was 60 kg only. Due to her arrival, the average weight of all the girls decreased by 20 kg. Find the average weight of first 40 boys?
Choices:
80
176
500
880
Answer: D
Question: In how many ways 8 different tickets E can be distributed between Jane and Bill if each is to receive any even number of tickets and all 8 tickets to be distributed.
Choices:
From 98 to 102 inclusive.
From 122 to 126 inclusive.
From 128 to 132 inclusive.
From 196 to 200 inclusive.
Answer: C
Question: he ratio between the sale price and the cost price of an article is 7:5. What is the ratio between the profit and the cost price of that article?
Choices:
2:9
2:4
2:1
2:5
Answer: D
Question: How many such letter-pairs are there in the word FRONTIER having same no. of letters left between them as they have in the series?
Choices:
2
1
3
5
Answer: A
Question: Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
Choices:
Rs.18:90
Rs.16.28
Rs.16.50
Rs.82.09
Answer: C
Question: A survey was sent to 80 customers, 9 of whom responded. Then the survey was redesigned and sent to another 63 customers, 12 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey?
Choices:
5%
14%
28%
69%
Answer: D
Question: 50% of a number is more than 40% of 120 by 180. Find the number?
Choices:
456
420
445
320
Answer: A
Question: 14 times a number gives 210. The number is
Choices:
12
15
None
Cannot be determined
Answer: B
Question: One drier dries certain quantity of material in 24 minutes. Another drier does the same work in 2 minutes how much time will it take to do the same job when both driers are put to work ?
Choices:
1.20 minutes
1.50 min
1.85 min
2.00 minutes
Answer: C
Question: If a car had traveled 25 kmh faster than it actually did, the trip would have lasted 30 minutes less. If the car went exactly 75 km, at what speed did it travel?
Choices:
40 kmh
45 kmh
50 kmh
55 kmh
Answer: C
Question: In a class everyone will play at least one sport viz table tennis, cricket and badminton. 73
students play table tennis, 79 play badminton, 75 play cricket and 25 students play both table
tennis and badminton, 24 play both table tennis and cricket 30 play. Badminton and cricket and
17 students play all the sports. How many students play only cricket ?
Choices:
35
39
47
37
Answer: A
Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.12350. Find the share of A?
Choices:
3000
3018
4000
5000
Answer: D
Question: After 95 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?
Choices:
4 liters
3 liters
5 liters
6 liters
Answer: C
Question: In a school 10% of the boys are same in number as 1/2th of the girls. what is the ratio of boys to the girls in the school?
Choices:
5:1
1:4
3:7
2:5
Answer: A
Question: In case P there are 2 red pens and 3 blue pens, in case Q there is 1 red pen and 4 blue pens. A case is randomly picked, what is the probability of picking up a red pen from case Q?
Choices:
1/10.
3/10.
3/5.
2/3.
Answer: A
Question: A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
Choices:
665
720
730
750
Answer: A
Question: The organizers of a fair projected a 25 percent increase in attendance this year over that of last year, but attendance this year actually decreased by 20 percent. What percent of the projected attendance was the actual attendance?
Choices:
56%
64%
75%
80%
Answer: B
Question: A train 110 m long is running with a speed of 30 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
6 sec
8 sec
11 sec
2 sec
Answer: C
Question: A and B can do a piece of work in 8 days. With the help of C they finish the work in 4 days. C alone can do that piece of work in?
Choices:
20 days
8 days
60 days
40 days
Answer: B
Question: When a certain number X is divided by 143, the remainder is 42. Which of the following numbers, if added to X, would result in a number divisible by 13?
Choices:
10
34
47
55
Answer: A
Question: (√27+√243)/√48=?
Choices:
2√3
3√2
3√3
3
Answer: D
Question: Solution A is 20% chlorine and Solution B is 80% chlorine. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% chlorine solution?
Choices:
6:14
4:4
4:6
3:7
Answer: B
Question: Find the number, the second digit of which is smaller than its first digit by 4, and if the number was divided by the digit’s sum, the quotient would be 7.
Choices:
74
84
87
89
Answer: B
Question: There is a 40% chance that Betty will visit Denmark this year, while there is a 30% chance that she will visit Peru this year. What is the probability that Betty will visit either Denmark or Peru this year, but NOT both?
Choices:
46%
48%
50%
52%
Answer: A
Question: The ratio of the arithmetic mean of two numbers to one of the numbers is 5:7. What is the ratio of the smaller number to the larger number?
Choices:
2:5
3:7
4:9
5:6
Answer: B
Question: At a tanning salon, customers are charged $10 for their first visit in a calendar month and $5 for each visit after that in the same calendar month. In the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. All other customers made only one visit. If those visits were the only source of revenue for the salon, what was the revenue for the last calendar month at the salon?
Choices:
$1200
$1300
$1340
$1880
Answer: A
Question: Light glows for every 16 seconds . How many times did it between 1:57:58 and 3:20:47 am
Choices:
311
313
314
385
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
Choices:
33/91
33/94
33/16
33/17
Answer: A