antoine-444/aqua_rat_dataset huggingface dataset:
Question: Two letters from the word NOTHING are selected at random. What is the probability that at least one of the selected letters is a consonant?
Two letters from the word NOTHING are selected at random. What is the probability that at least one of the selected letters is a consonant?
Choices:
B)1/28
C)27/28
D)124/125
E)499/500
Answer: B
Question: A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?
Choices:
59010
59190
59000
92700
Answer: C
Question: If a large pizza has a radius that is 40% larger that that of a medium pizza, what is the percent increase in area between a medium and a large pizza?
Choices:
80%
96%
112%
124%
Answer: B
Question: In case O is the only individual sewing on committee B, which among the following shouldserve on committee A?
Choices:
V and T
U and S
P and Q
T and U
Answer: C
Question: How many ONE letter words are formed using the letters of the word WALK?
Choices:
16
7
4
2
Answer: C
Question: A can do a piece of work in 20 days and B alone can do it in 10 days. B works at it for 5 days and then leaves. A alone can finish the remaining work in
Choices:
10days
7.5days
8.5days
9days
Answer: A
Question: An unbiased die is tossed .find the probability of getting a multiple of 3
Choices:
1/3
3/2
4/3
5/2
Answer: A
Question: A car covers a distance of 624 km in 3 1/5 hours. Find its speed?
Choices:
195 kmph
109 kmph
174 kmph
101 kmph
Answer: A
Question: The average of the marks of 12 students in a class is 36. If the marks of each student are doubled, find the new average?
Choices:
72
66
11
67
Answer: A
Question: Mangala completes a piece of work in 12 days, Raju completes the same work in 34 days. If both of them work together, then the number of days required to complete the work is?
Choices:
8 3/4 days
11 1/4 days
12 2/3 days
14 1/4 days
Answer: A
Question: Ella can fill K cans of water in 4 minutes. If there are T cans of water in one gallon, how many gallons can Ella fill in 36 minutes?
Choices:
4KT
9T/K
9K/T
9KT
Answer: C
Question: A box contains seven bulbs out of which 5 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
Choices:
125/186
125/126
125/186
20/21
Answer: D
Question: A 240 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Choices:
144
1266
188
211
Answer: A
Question: Find the perimeter and area of the rectangle of length 17 cm and breadth 13 cm.
Choices:
121 cm2
141 cm2
171 cm2
221 cm2
Answer: D
Question: An auction house charges a commission of 15% on the first $50,000 of the sale price of an item, plus 10% on the amount of of the sale price in excess of $50,000. What was the price of a painting for which the house charged a total commission of $24,000?
Choices:
$160,000
$215,000
$240,000
$365,000
Answer: B
Question: Felix earned 50% more per month than Oscar. If Felix’s salary is decreased 10% and Oscar’s salary is increased by 10%, then Felix would be earning what percent more than Oscar?
Choices:
9.09%
14%
22.73%
It cannot be determined from the information given.
Answer: C
Question: A box is in the shape of a semicircle with a radius of 12. What is the approximate perimeter of the semicircle?
Choices:
62
25
34
60
Answer: A
Question: a and b are positive integers less than or equal to 7. If a and b are assembled into the six-digit number ababab, which of the following must be a factor of ababab?
Choices:
3
2
6
none of the above
Answer: A
Question: There are 50 students in a class. If 2 % are absent on a particular day, find the number of students present in the class.
Choices:
36
28
49
11
Answer: C
Question: A boat can move upstream at 22 kmph and downstream at 42 kmph, then the speed of the current is?
Choices:
16
18
10
12
Answer: C
Question: If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
Choices:
20
24
26
29
Answer: A
Question: Mr. Yutaro’s class contains 11 boys and 5 girls. If two students are chosen, one at a time, from the class, what is the probability that a boy and a girl are chosen?
Choices:
11/24
11/28
27/48
13/16
Answer: A
Question: The average weight of a group of boys is 20 kg. After a boy of weight 31 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
14
18
24
10
Answer: D
Question: On his drive to work, Leo listens to one of three radio stations A, B or X. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to X. If X is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.30 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?
Choices:
0.09
0.417
0.657
0.9
Answer: C
Question: The fourth proportional to 10, 15 and 18 is?
Choices:
27
55
88
61
Answer: A
Question: Today John is 3 times older than Mark. If in 14 years, John will be one year younger than twice the age of Mark on that day, how old is John today?
Choices:
33
36
38
39
Answer: D
Question: Which is a better offer out of (i) a cash payment now of Rs.8100 or (ii) a credit of Rs.8250 after 6 months(6.5% S.I)
Choices:
(i)
both (i) and (ii)
only (i)
NONE OF THESE
Answer: A
Question: If f(x) = x^4/(x^4 - 1), what is f(1/x) in terms of f(x)?
Choices:
1/-f(x)
-2/-f(x)
-3/-f(x)
-f(x)
Answer: D
Question: The number 0.5 is how much greater than 1/6 ?
Choices:
1/3
1/50
1/500
2/500
Answer: A
Question: M is 30% of Q. Q is 20% of P. N is 50% of P. Find M:N ratio
Choices:
3:25
3:23
3:22
4:25
Answer: A
Question: A boatman goes 2 km against the current of the stream in 2 hour and goes 1 km along the current in 20 minutes. How long will it take to go 5 km in stationary water?
Choices:
2 hr 30 min
4 hr
1 hr 15 min
3 hr 15 min
Answer: A
Question: 10% of a 50% alcohol solution is replaced with water. From the resulting solution, again 10% is replaced with water. This step is repeated once more. What is the concentration of alcohol in the final solution obtained?
Choices:
20%
25%
36%
40%
Answer: C
Question: Two boats start from opposite banks of river perpendicular to the shore. One is faster then the other. They meet at 720 yards from one of the ends. After reaching opposite ends they rest for 10mins each. After that they start back. This time on the return journey they meet at 400yards from the other end of the river. Calculate the width of the river.
Choices:
1760 yard
1860 yard
1560 yard
1460 yard
Answer: A
Question: In an IT company, there are a total of 120 employees including 50 programmers. The number of male employees is 80, including 35 male programmers. How many employees must be selected to guaranty that we have 3 programmers of the same sex?
Choices:
50
55
35
75
Answer: D
Question: A train 360 m long is running at a speed of 48 km/hr. In what time will it pass a bridge 140 m long?
Choices:
11 sec
37.5 sec
19 sec
10 sec
Answer: B
Question: If (18^a) * 9^(3a – 1)= (2^4)(3^b) and a and b are positive integers, what is the value of a?
Choices:
11
9
6
4
Answer: D
Question: A certain company expects quarterly earnings of $0.80 per share of stock, half of which will be distributed as dividends to shareholders while the rest will be used for research and development. If earnings are greater than expected , shareholders will receive an additional $0.04 per share for each additional $0.10 of per share earnings. If quarterly earnings are $1.10 per share, what will be the dividend paid to a person who owns 600 shares of the company's stock?
Choices:
$312
$104
$120
$240
Answer: A
Question: If Jake loses 8 pounds, he will weigh twice as much as his sister Kendra. Together they now weigh 293 pounds. What is Jake’s present weight, in pounds?
Choices:
186
190
194
198
Answer: D
Question: Four dice are thrown simultaneously. Find the probability that all of them show the same face.
Choices:
1/216
1/272
1/220
8/216
Answer: A
Question: How many liters of 20% alcohol solution should be added to 40 liters of a 50% alcohol solution to make a 30% solution?
Choices:
70 liters
80 liters
90 liters
50 liters
Answer: B
Question: Peter walks along Sunrise Boulevard daily. He starts walking at 07:00 from block 10 and walks to block 90 where he turns around and walks back to block 70, where he stops at 07:30. The blocks along the boulevard are numbered sequentially (1,2,3), and each block measures 30 meters. What is Peter's speed in meters per minute?
Choices:
100
198
216
252
Answer: A
Question: A clock gains 15 minutes per day. It is set right at 12 noon. What time will it show at 4.00 am, the next day?
Choices:
4 : 10 am
4 : 20 am
5 : 00 am
None of these
Answer: A
Question: How much more would Rs.40000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Choices:
725
964
837
923
Answer: B
Question: A boat running up stram takes 6 hours to cover a certain distance, while it takes 8 hours to cover the same distance running down stream. what is the ratio between the speed of the boat and the speed of water current respectively?
Choices:
5 : 6
4 : 5
7 : 1
8 : 1
Answer: C
Question: 50% of the apartments in a certain building have windows and hardwood floors. 25% of the apartments without windows have hardwood floors. If 40% of the apartments do not have hardwood floors, what M percent of the apartments with windows have hardwood floors?
Choices:
16 2/3
40
50
83 1/3
Answer: D
Question: A coin is tossed 4 times. What is the probability a that the number of Heads is equal to the number of Tails?
Choices:
1/4
3/8
1/2
9/16
Answer: B
Question: If x + (1/x) = 5, what is the value of W= x^2 + (1/x)^2?
Choices:
W=22
W=23
W=24
27
Answer: B
Question: In Goshawk-Eurasian nature reserve 30 percent of the birds are Hawks, and 40 percent of the non-Hawks are Paddyfield-Warblers. If there are 25 percent as many Kingfishers as Paddyfield-Warblers in the reserve, then what percent of the birds X in the nature reserve are not Hawks, Paddyfield-Warblers, or Kingfishers?
Choices:
35%
45%
70%
80%
Answer: A
Question: How many seconds will a train 60 meters long take to cross a bridge 120 meters long if the speed of the train is 30 m/sec?
Choices:
6 sec
15 sec
3 sec
5 sec
Answer: A
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 4 hours and 10 hours respectively. The ratio of their speeds is
Choices:
4 : 3
4 : 12
4 : 8
5 : 2
Answer: D
Question: The present worth of a sum due sometime hence is Rs. 576 and the banker’s gain is Rs. 16. The true discount is :
Choices:
52
66
96
None
Answer: C
Question: A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
Choices:
400
550
600
650
Answer: A
Question: What is 15% of 2/3 of 0.7?
Choices:
0.07
9
90
None of the above
Answer: A
Question: In Arun's opinion, his weight is greater than 62 kg but leas than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 65 kg. If all of them are correct in their estimation, what is the average of diferent probable weights of Arun ?
Choices:
63.5 kg
46.5 kg
26.5 kg
16.5 kg
Answer: A
Question: What is the minimum value of |x-4| + |x+6| + |x-5| ?
Choices:
3
5
7
11
Answer: D
Question: A mixture of sand and cement contains, 3 parts of sand and 5 parts of cement. How much of the mixture must be substituted with sand to make the mixture half sand and half cement?
Choices:
1/4
1/5
1/7
1/8
Answer: B
Question: Daniel went to a shop and bought things worth Rs. 40, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
A)34.7
C)21.3
D)21.5
E)22
Answer: A
Question: What is the smallest positive integer x such that 520-x is the cube of a positive integer
Choices:
7
8
9
12
Answer: B
Question: If k, (k+200), (k+350), and 15*K are all multiples of D, then D could equal which of the following ?
Choices:
D=25
D=75
100
150
Answer: A
Question: A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
Choices:
2799
1023
1782
2781
Answer: B
Question: A plane was originally flying at an altitude of x feet when it ascended 2,000 feet and then descended 5,000 feet. If the plane's altitude after these two changes was 1/7 its original altitude, then the solution of which of the following equations gives the plane's original altitude, in feet ?
Choices:
1/3*(x - 3000) = x
x + 3000 = 1/3*x
x - 7000 = 1/3*x
x - 3000 = 1/7*x
Answer: D
Question: Two employees A and B are paid a total of Rs. 560 per week by their employer. If A is paid 150 percent of the sum paid to B, how much is B paid per week?
Choices:
s.140
s.150
s.224
s.280
Answer: C
Question: A bag contains 20 red and 30 white balls. One ball is drawn at random. What is the probability that the ball drawn is red?
Choices:
2/5
3/5
4/5
1/2
Answer: A
Question: A shopkeeper loses 15%,if an article is sold for Rs. 102. What should be the selling price of the article to gain 20%?
Choices:
144
176
186
111
Answer: A
Question: Total 60 cows 20 cow gives each 2 liter milk 20 cow gives each 3/4 liter milk 20 cow gives each 1/4 liter milk this is split into 3 son per each 20 cows & 20 liter milk how?
Choices:
20
15
16
18
Answer: A
Question: Two trains of length 120 m and 210 m are 80 m apart. They start moving towards each other on parallel tracks, at speeds 69 kmph and 82 kmph. After how much time will the trains meet?
Choices:
19/10
20/19
16/10
27/10
Answer: A
Question: If the price of an article went up by 30%, then by what percent should it be brought down to bring it back to its original price?
Choices:
2/8%
2/1%
1/3%
23.07%
Answer: D
Question: There are 57 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?
Choices:
2) 7
3) 17
4) 21
5) 27
Answer: C
Question: The size of the wooden block is 5 x 10 x 20 cm .How many such blocks will be required to construct a solid wooden cube of minimum size?
Choices:
8
12
16
20
Answer: A
Question: If the charge of staying in a student youth hostel $18.00/day for the first week, and $13.00/day for each additional week, How much does it cost to stay for 23 days?
Choices:
$289
$334
$274
$286
Answer: B
Question: If 'Pink' is called 'Orange', 'Orange' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Green', 'Green' is called 'Black' and 'Black' is called 'white', what would be the color of human blood ?
Choices:
Green
PINK
ORANCE
BLACK
Answer: A
Question: A group of people participate in some curriculum, 35 of them practice Yoga, 20 study cooking, 15 study weaving, 7 of them study cooking only, 5 of them study both the cooking and yoga, 3 of them participate all curriculums. How many people study both cooking and weaving?
Choices:
2
3
4
5
Answer: D
Question: The markup on a necklace is 80 percent of the cost. The markup is what percent of the selling price?
(markup = selling price - cost)
Choices:
10%
44.44%
55%
66 2/3%
Answer: B
Question: Shawn has $150 to buy a new guitar. he found a guitar strap for $20, a guitar amplifier
for $80, and some guitar picks for $8. How much does he have left to buy the guitar?
Choices:
$52
$32
$22
$12
Answer: A
Question: How many even number in the range between 10 to 120 inclusive are not divisible by 3
Choices:
30
31
37
46
Answer: C
Question: In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1:2:3. If there are Rs. 30 in all, how many 5 p coins are there?
Choices:
716
150
143
145
Answer: B
Question: A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
Choices:
250
259
255
251
Answer: A
Question: How many positive number less than 1000 have sum of there digit 17?
Choices:
53
63
75
76
Answer: B
Question: Solve 7x – 2(x+5) = 4x + 11
Choices:
25
21
15
12
Answer: B
Question: A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
Choices:
268
800
266
226
Answer: B
Question: If |5x-5| = 100, then find the sum of the values of x?
Choices:
-2
2
-3
4
Answer: B
Question: Bob finishes the first half of an exam in four sixth the time it takes him to finish the second half. If the whole exam takes him an hour, how many minutes does he spend on the first half of the exam?
Choices:
12
27
36
40
Answer: A
Question: Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages, it is 45 km/hr. For how many minutes does the bus stop per hour?
Choices:
10 min
37 min
17 min
16 min
Answer: A
Question: The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Choices:
4
6
7
8
Answer: A
Question: A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?
Choices:
7
87
5
34
Answer: C
Question: How long does a train 110 m long running at the speed of 90 km/hr takes to cross a bridge 132 m length?
Choices:
9.68 sec
16.1 sec
13.1 sec
12.15sec
Answer: A
Question: A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%?
Choices:
600
772
652
271
Answer: A
Question: A computer simulation of a 12 hour analog clock keeps perfect time while it is running, and
has two hands—an hour hand and a minute hand—both of which move continuously around
the 12 hour dial. (For example, at 2:30, the hour hand will be exactly halfway between 2 and
3.) Because of careless programming, the minute hand looks exactly like the hour hand, so
that the two are indistinguishable.
On one day, the clock stops at some time after 12am and before 12pm. How many times could
it have stopped without it being possible after 12pm to tell what time it stopped?
Choices:
12
66
132
708
Answer: C
Question: The volume of a sphere with radius r is (4/3)*pi*r^3 and the surface area is 4*pi*r^3. If a sperical balloon has a volume of 288 pi cubic centimeters, what is hte surface area of the balloon in square centimeters?
Choices:
b. 100
c. 400
d. 1,000
e. 10,000
Answer: B
Question: How many 4 digit numbers can be formed if the tens and thousands digits are even, and the hundreds and units digits are odd?
Choices:
200
300
400
500
Answer: D
Question: What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
Choices:
40 ways
30 ways
10 ways
20 ways
Answer: B
Question: 4 professors and 6 students are being considered for membership on a supervisory committee which must consist of 3 people. If the committee has to include at least 4 professor, how many ways can this committee be formed?
Choices:
64
72
80
100
Answer: A
Question: Lottery balls numbered consecutively from one through one hundred are placed in a spinner. If one ball is drawn at random, what is the probability that it will have the number 3 on it exactly once?
Choices:
18/100
11/100
19/100
1/5
Answer: A
Question: A cylindrical can has a radius of 3 centimeters and a height of 24 centimeters. What is the area, in square centimeters, of a rectangular label that completely covers the curved surface of the can without over-lapping?
Choices:
64 pi
96 pi
144 pi
576 pi
Answer: C
Question: The bus that travels from St. Louis to Chicago and back comes to St. Louis every 3 hours while the bus that travels from St. Louis to Springfield and back comes to St. Louis every 4 hours. If at 6:00 o'clock both bused arrived at St. Louis, at what time will they meet in St. Louis again?
Choices:
18:00.
20:00.
22:00.
24:00.
Answer: A
Question: We run a business that rents out canoes and kayaks. A canoe rental costs $12 per day, and a kayak rental costs $18 dollars per day. One day, our business rents out 3 canoes for every 2 kayaks and receives a total of $504 in revenue. How many more canoes than kayaks were rented out?
Choices:
6
7
8
9
Answer: B
Question: Of three numbers, the third is twice the second and the second is 4 times the first. If their average is 78, the smallest of the three numbers is:
Choices:
18
20
21
22
Answer: A
Question: What is the unit digit in 4^100?
Choices:
1
6
3
5
Answer: B
Question: A fruit seller sells mangoes at the rate of Rs.5 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5%
Choices:
Rs 6.56
Rs 10.56
Rs 11.56
None of these
Answer: A
Question: How many integers from 0 to 53, inclusive, have a remainder of 1 when divided by 3 ?
Choices:
16
17
18
19
Answer: C
Question: How many ways are there to select a subcommittee of 8 members from among a committee of 17?
Choices:
24310
28791
27711
12111
Answer: A
Question: The area of rectangular field of length 90 meters and breadth 80 meters is equal to the area of a square plot. What will be the length of the diagonal of the square plot?
Choices:
120m
95m
80m
150m
Answer: A
Question: Which of the following is equal to 5^k*7^(k-1)?
Choices:
5*35^(k-1)
35^k
5*35^k )
35^(2k-1)
Answer: A
Question: The ratio of the area of a square to that of the square drawn on its diagonal is
Choices:
1:2
1:7
1:5
1:6
Answer: A
Question: If x,y ,and z are positive real numbers such that x+y-z = 62, y-z+x =82 , and z-x+y = 100, then find the x+y+z value?
Choices:
91
62
74
82
Answer: D
Question: A man can row 18 kmph in still water.it takes him thrice as long to row up as to row down the river.find the rate of stream.
Choices:
3 km/hr
7 km/hr
9 km/hr
5 km/hr
Answer: C
Question: Look at this series: 31, 29, 24, 22, 17, ... What number should come next?
Choices:
15
13
12
11
Answer: A
Question: At 3:40, the hour hand and the minute hand of a clock form an angle of
Choices:
75º
90º
130º
180º
Answer: C
Question: If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price?
Choices:
1528
1500
1598
1512
Answer: B
Question: A train 75 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
50
88
22
32
Answer: D
Question: Two trains 140 m and 160 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:
10.8
17.2
21.1
12.6
Answer: A
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero ?
Choices:
0
3
7
1
Answer: A
Question: A cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled ?
Choices:
5 hrs
6.5 hrs
7.25 hrs
11.25 hrs
Answer: D
Question: If there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if the total number of wheels is 58?
Choices:
12
13
14
15
Answer: C
Question: A, B and C start a business each investing 10,000. After 6 months A withdrew 5000, B withdrew 4000 and C invests 6000 more. At the end of the year, a total profit of 34,200 was recorded. Find the share of B.
Choices:
9,600
28,200
20,500
None of these
Answer: A
Question: If yesterday was Monday, when will Wednesday be?
Choices:
Two days before today
Today
Tomorrow
none
Answer: C
Question: An unbiased die is tossed. Find the probability of getting a multiple of 5
Choices:
1/6
2/5
5/6
3/7
Answer: A
Question: A man can row with a speed of 30 kmph in still water. If the stream flows at 11 kmph, then the speed in downstream is?
Choices:
28
20
41
34
Answer: C
Question: The distance from Steve's house to work is 20 Km. On the way back Steve drives twice as fast as he did on the way to work. Altogether, Steve is spending 6 hours a day on the roads. What is Steve's speed on the way back from work?
Choices:
10.
14.
15.
20.
Answer: A
Question: At a dinner party, 6 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number of different possible seating arrangements for the group?
Choices:
10
24
32
120
Answer: D
Question: In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may hold all of the toys ?
Choices:
25
77
28
29
Answer: A
Question: The price of lunch for 15 people was $207 including a 15% gratuity for service. What was the average price per person, EXCLUDING the gratuity?
Choices:
12
13.8
14
15.87
Answer: A
Question: Given that E and F are events such that P(E) = 15, P(F) = 10 and P(E n F) = 15,
find P (E|F) and P(F|E)
Choices:
3/2
6/2
8/5
8/9
Answer: A
Question: Five years ago, the average age of A, B, C and D was 45 yr. with E joining them now, the average of all the five is 52 yr. How old is E?
Choices:
62 yr
45yr
64 yr
NOne
Answer: A
Question: Kevin plants corn and cotton. Once he harvests the crops, he has 30 pounds of corn and x
pounds of cotton. Corn sells for $5 per pound and cotton sells for $10 per pound. If Kevin sells
all his corn and cotton for a total of $640, then compute x.
Choices:
49
59
69
79
Answer: A
Question: A batsman in his 9th inning makes a score of 75 and their by increasing his average by 7. What is his average after the 9th inning?
Choices:
19
26
33
40
Answer: A
Question: P runs 20% faster than Q so P gives Q a 300 meter head start. If the race ends in a tie, how far (in meters) did P run in the race?
Choices:
1600
1700
1800
1900
Answer: C
Question: How many positive integers between 1 and 100 are there such that they are multiples of 13?
Choices:
5
4
7
3
Answer: C
Question: Of the 75 employees of a certain company, twice as many are in the sales department as are in all of the other departments combined. What is the number of employees in the sales department?
Choices:
20
30
40
50
Answer: D
Question: Which is the following is divisible by 11
Choices:
A)3052
C)4805
D)4905
E)4906
Answer: A
Question: In how many different number of ways a combination of 3 men and 2 children can be selected from 6 men and 5 children ?
Choices:
20
24
26
28
Answer: A
Question: If A,B,C are three integers and AB+C is even ; which of the following must be true?
A)A+C is even
B)B+C is even
C)ABC is even
Choices:
Both A and B
Both B and C
All of them
None of them
Answer: D
Question: There are 3 numbers A, B and C. If A:B = 3/4, B:C = 4/5, C:D = 5/6, then A:D will be?
Choices:
1 : 2
2 : 5
3 : 5
3 : 7
Answer: A
Question: Ayesha's father was 28 years of age when she was born while her mother was 15 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
17 years
16 years
18 years
10 years
Answer: A
Question: Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time ,the rate of interest being the same ?
Choices:
Rs. 10.40
Rs. 15.20
Rs. 13
None of these
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 42 years now, the son's age five years back was
Choices:
14years
15years
16years
17years
Answer: C
Question: An article is bought for Rs.675 and sold for Rs.1200, find the gain percent?
Choices:
88%
78%
75%
73%
Answer: B
Question: Working in a North Side studio at a constant rate, Kanye can drop a full-length platinum LP in 5 weeks. Working at his own constant rate, Common can drop a full-length platinum LP in x weeks. If the two emcees work together at their independent rates, they can drop a full-length platinum compilation LP in 2 weeks. Assuming no efficiency is lost or gained from working together, how many weeks would it take Common, working alone, to drop a full-length platinum LP?
Choices:
3 and 1/3 weeks
2 and 1/2 weeks
2 and 1/3 weeks
2 weeks
Answer: A
Question: One man traveled a distance of 61 km in 9hrs. He traveled partly on footat 4 km/hr and partly on bicycle ta 9 km/hr. The distance traveled on foot is?
Choices:
12 km
16 km
17 km
18 km
Answer: B
Question: Which number can we add to 425897 to get a number exactly divisible by 456?
Choices:
5
7
9
11
Answer: B
Question: There are 15 points in a given plane, no three of which are on the same line. If one of the points is represented as 'U', then how many triangles can be determined with the 15 points that contain the point U?
Choices:
182
185
210
455
Answer: A
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 750 m long?
Choices:
83sec
95sec
99sec
100sec
Answer: C
Question: If x is a positive integer such that (x-1)(x-3)(x-5)....(x-93) < 0, how many values can x take?
Choices:
23
46
21
22
Answer: A
Question: Walking at 8KMPH From Point E to Point railway station, mike will miss the train by 5 minutes. If he walks at 10KMPH he will reach the station by 5 minutes early.What is the distance between Point E to Railway station?
Choices:
B)6.66KM
C)7.25KM
D)12.40KM
E)13KM
Answer: A
Question: A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely?
Choices:
3 hrs 45 min
4 hrs
4 hrs 15 min
5 hrs
Answer: A
Question: If p is an even integer and q is an odd integer, which of the following must be an odd integer?
Choices:
pq
2p+q
2(p+q)
3p/q
Answer: B
Question: There are 6 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 4 other amateurs, what is the total number of chess games possible to be played in the tournament?
Choices:
20
40
60
12
Answer: D
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.18 of money?
Choices:
1800
9921
2798
2789
Answer: A
Question: A can give B 80 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
130.43
130.22
111.0
111.12
Answer: A
Question: A man is trying to fill up his pool and he has three different water sources, if he uses faucet A it takes 5 hours to fill up the pool, if he used faucet B it takes 20 hours to fill it up. He first runs the water from source A for 2 hours, then turning that off, he continues with faucet B for 10 hours. Then turning that off as well he uses Faucet C and in 3 hours the pool is filled up. How long does it take to fill up the pool only using the faucet C?
Choices:
20 hours
30 hours
40 hours
5 hours
Answer: B
Question: The age of Somu is one-third his father's. 5 years back he was one-fifth of his father's age. What is his persent age ?
Choices:
13
14
12
10
Answer: D
Question: It was calculated that 75 men could complete a piece of work in 10 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work?
Choices:
20 days.
25 days.
12.5 days.
15 days.
Answer: D
Question: A and B invests Rs.6000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
Choices:
82:31
24:45
34:89
35:21
Answer: B
Question: If y exceeds x by 20%, then x is less than y by?
Choices:
16 3/3%
16 2/3%
18 2/3%
126 2/3%
Answer: B
Question: Calculate the fourth proportional to 7.4, 8.1 and 9.8?
Choices:
10.73
15.73
11.73
12.73
Answer: A
Question: The sum of three numbers is 98. The ratio of the first to the second is 2/3, and the ratio of the second to the third is 5/8. The second number is:
Choices:
30
60
70
10
Answer: A
Question: Dominos charges $6.25 for a veg pizza of std size that costs a total of $2.85 to make. Pizza Hut charges $5.80 for a similar pizza that costs $1.80 to make. If Dominos sells 2,000 pizzas, how many must Pizza Hut sell to make at least as much in total gross profit as its competitor does?
Choices:
1875
14,667
63,840
146,667
Answer: A
Question: What should come in the place of the question mark(?) in the following equation?
45(2)×27(2)/135(2)=?
Choices:
81
243
9
None of these
Answer: A
Question: What is the least number of squares tiles required to pave the floor of a room 4 m 5 cm long and 2 m 25 cm broad?
Choices:
20
40
44
45
Answer: D
Question: If n=4p where p is a prime number greater than 3, how many different positive even divisors does n have, including n?
Choices:
6
4
8
10
Answer: B
Question: If Henry were to add 6 gallons of water to a tank that is already 3/4 full of water, the tank would be 7/8 full. How many gallons of water would the tank hold if it were full?
Choices:
48
64
80
96
Answer: A
Question: Three machines operating independently, simultaneously, and at the same constant rate can fill a certain production order in 52 hours. If one additional machine were used under the same operating conditions, in how manyfewerhours of simultaneous operation could the production order be fulfilled?
Choices:
9
12
27
13
Answer: D
Question: The average of four consecutive even numbers is 27. find the largest of these numbers?
Choices:
20
30
40
50
Answer: B
Question: There are 2 sections with 6 questions each. If two questions are selected from each section, the chance of getting different questions is________
Choices:
100
240
225
6000
Answer: C
Question: Find the least number which when divided by 35 and 11 leaves a remainder of 1 in each case.
Choices:
391
388
397
386
Answer: D
Question: Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 28 white marbles. How many red marbles could be in bag A?
Choices:
3
4
6
7
Answer: B
Question: From a corner of a ground of 20m*30m, a boy hits a ball that travels maximum 14m. What is the area of the football ground through which the ball can pass by the hit of that boy from that corner ?
Choices:
140
150
154
168
Answer: C
Question: If n is a multiple of 5, n=p^2q, where p and q are prime numbers. Which of the following must be a multiple of 25?
Choices:
q^2
pq
p^2q^2
p^3q
Answer: C
Question: (x —1)(x + 3) > 0
(x +5)(x—4) < 0
Which of the following values of x satisfy both inequalities shown?
I. 3
II. -6
III. 2
IV. 5
Choices:
I and III only
II and III only
II and IV only
I, II, III, and IV
Answer: A
Question: 6persons enter a lift on the ground floor of a 9floor apartment. Assuming that each of them independently & with equal probability can leave the lift at any floor beginning with the first, what is the probability that all the 6persons are leaving the lift at different floors?
Choices:
5P6/8^6
8P6/8^6
9P6/8^2
8P6/8^3
Answer: B
Question: An army’s recruitment process included N rounds of selection tasks. For the first A rounds, the rejection percentage was 60 percent per round. For the next B rounds, the rejection percentage was 50 percent per round and for the remaining rounds, the selection percentage was 70 percent per round. If there were 20000 people who applied for the army and 196 were finally selected, what was the value of N?
Choices:
5
6
8
10
Answer: C
Question: 1254,1254,627,209,52.25,?
Choices:
10.45
3.58
4.96
3.87
Answer: A
Question: How many integer values R are there for x such that 1 < 3x + 5 < 17?
Choices:
Three
Four
Five
Six
Answer: C
Question: Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is
Choices:
6/17%
5 5/11%
3 5/11%
None of these
Answer: B
Question: How many options are there for license plate numbers if each license plate can include 2 digits and 3 letters (in that order), or 3 digits and 2 letters (in that order)? (Note: there are 26 letters in the alphabet)
Choices:
36×260^2
36×270^2
10^2×26^3
10^3×26^2
Answer: A
Question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Choices:
27
29
32
36
Answer: A
Question: If -2x+3y=8 and 4x-3y=20, what is the sum of x and y?
Choices:
28
18
26
32
Answer: C
Question: If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum W of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
Choices:
4x
5x/3
3x/2
3x/5
Answer: A
Question: In how many different number of ways 4 men and 2 women can sit on a bench?
Choices:
700
720
740
760
Answer: B
Question: If 5 men can dig a field in 20 days, how much time it will take 4 men to dig the same field?
Choices:
22
23
24
25
Answer: D
Question: If |x| - |y| = |x+y| and xy not equal zero , which of the following must be true ?
Choices:
x-y< 0
x+y> 0
xy>0
xy<0
Answer: D
Question: The circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 40 ft long. What is the distance traveled by the cart, when the front wheel has done five more revolutions than the rear wheel?
Choices:
25 ft
600ft
900 ft
1000 ft
Answer: B
Question: A train speeds past a pole in 15 seconds and a platform 130 meters long in 25 seconds. What is the length of the train (in meters)?
Choices:
185
195
205
215
Answer: B
Question: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 390 m in length?
Choices:
88.9 sec
22.9 sec
30.00 sec
72.0 sec
Answer: C
Question: When Professor Wang looked at the rosters for this term's classes, she saw that the roster for her economics class (E) had 16 names, the roster for her marketing class (M) had 28, and the roster for her statistics class (S) had 18. When she compared the rosters, she saw that E and M had 9 names in common, E and S had 7, and M and S had 10. She also saw that 4 names were on all 3 rosters. If the rosters for Professor Wang's 3 classes are combined with no student's name listed more than once, how many names will be on the combined roster?
Choices:
40
42
46
50
Answer: A
Question: If 5x + y = 15, 5y + z = 25 and 2z + x = 2, what is the value of x ?
Choices:
2
6
7
1
Answer: A
Question: In what ratio should a variety of rice costing Rs. 4.5 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?
Choices:
5/9
5/1
5/3
5/12
Answer: D
Question: If x is the product of three consecutive positive integers, which of the following must be true?
I. x is an integer multiple of 3.
II. x is an integer multiple of 6
III. x is an integer multiple of 5
Choices:
b) II only
c) I and II only
d) I and III only
e) I,II and III
Answer: B
Question: In his wardrobe, Dexter has three trousers. One of them is black the second is blue, and the third brown. In his wardrobe, he also has four shirts. One of them is black and the other 3 are white. He opens his wardrobe in the dark and picks out one shirt and one trouser pair without examining the colour. What is the likelihood that neither the shirt nor the trouser is black?
Choices:
1/6
1/4
1/2
None of these
Answer: C
Question: The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years
Choices:
of these
C)4:3
inadequate
A)3:4
Answer: A
Question: 15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take to do the same. If 3 women do as much work as 2 men?
Choices:
10
30
40
50
Answer: B
Question: If the ratio of the roots of the equation 4x2-px+8=0 is equal to that of the roots 2x2-rx+16=0, then:
Choices:
r=p
2r=p
2p=r
None
Answer: C
Question: The present worth of $3600 due in 2 years at 20% per annum compound interest is?
Choices:
$1850
$2010
$3200
$2500
Answer: D
Question: The total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?
Choices:
75
68
99
32
Answer: A
Question: During 2003, a company produced an average of 3,000 products per month. How many products will the company need to produce from 2004 through 2007 in order to increase its monthly average for the period from 2003 through 2007 by 300% over its 2003 average?
Choices:
540,000
525,000
530,000
550,000
Answer: A
Question: Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years?
Choices:
400
2887
277
1213
Answer: A
Question: The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 18. The larger of the two numbers is:
Choices:
414
322
345
355
Answer: A
Question: what is the remainder when 7^700 is divided by 100?
Choices:
1
3
4
5
Answer: A
Question: In an arithmetic progression the difference between the any two consecutive terms is a constant. What is the arithmetic mean of all of the terms from the first to the 33rd in an arithmetic progression if the sum of the 15th and 19th terms of the sequence is 108?
Choices:
42
46
50
54
Answer: D
Question: The circumferences of two circles are 528 meters and 704 meters. Find the difference between the areas of the larger and the smaller circles?
Choices:
28937 sq m
43162 sq m
27688 sq m
17248 sq m
Answer: D
Question: The ratio of number of students studying Arts, Commerce and Science in a College is 3 : 5 :8. What is the new ratio of the number of students studying Arts, Commerce and Science respectively if there is an increase of 20%, 40% and 25% in the number of students studying Arts, Commerce and Science?
Choices:
18 : 35 : 50
4 : 8 : 5
32 : 35 : 25
None of these
Answer: A
Question: For what value of x between − 9 and 9, inclusive, is the value of x^2 − 10x + 16 the greatest?
Choices:
− 9
0
2
9
Answer: A
Question: If x/y = 7/4, then (x + y)/(x - y) = ?
Choices:
11/3
-1/6
-1/5
-5
Answer: A
Question: If 15% of 40 is greater than 25% of a number by 2, the number is
Choices:
16
18
20
22
Answer: A
Question: Mr. Hernandez, who was a resident of State X for only 12 months last year, had a taxable income of $22,500 for the year. If the state tax rate were 4 percent of the year’s taxable income prorated for the proportion of the year during which the taxpayer was a resident, what would be the amount of Mr. Hernandez’s State X tax for last year?
Choices:
$900
$600
$300
$60
Answer: A
Question: Look at this series: 35, 36, 42, __, 48, 54, 35, 60, ... What number should fill the blank?
Choices:
35
44
45
52
Answer: A
Question: A number is increased by 30% and then decreased by 30%, the final value of the number is ?
Choices:
decreases by 9%
decreases by 8%
decreases by 6%
decreases by 5%
Answer: A
Question: The ratio of two numbers is 1 : 3 and their H.C.F. is 6. Their L.C.M. is
Choices:
18
56
27
67
Answer: A
Question: The denominator of a fraction is 1 less than twice the numerator. If the numerator and denominator are both increased by 1, the fraction becomes 4/5. Find the fraction?
Choices:
B)5/7
C)4/7
D)5/9
E)None of these
Answer: A
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 72 km downstream?
Choices:
33/13 hours
31/13 hours
30/13 hours
36/14 hours
Answer: D
Question: Robert is traveling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 p.m. ?
Choices:
92 kmph
12 kmph
82 kmph
14 kmph
Answer: B
Question: If W=x^4 + y^4 = 100, then the greatest possible value of x is between
Choices:
3 and 6
6 and 9
9 and 12
12 and 15
Answer: A
Question: The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age was five times the age of the son. After 6 years, son's age will be?
Choices:
7:0
7:3
7:2
7:1
Answer: B
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 5 years the amount to be paid is?
Choices:
8127
8618
9125
8128
Answer: C
Question: A man purchased 3 blankets @ Rs.100 each, 3 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Choices:
750
878
450
272
Answer: A
Question: If P(A) = 8/15, P(B) = 4/15, and P(A âˆª B) = 16/15 Find P(B|A)
Choices:
2/3
3/2
2
4/7
Answer: C
Question: Each face of a cube is painted with exactly one colour. What is the smallest number
of colours needed to paint a cube so that no two faces that share an edge are the
same colour?
Choices:
3 colours
4 colours
5 colours
6 colours
Answer: A
Question: Virginia, Adrienne, and Dennis have taught history for a combined total of 102 years. If Virginia has taught for 9 more years than Adrienne and for 9 fewer years than Dennis, for how many years has Dennis taught?
Choices:
32
35
43
44
Answer: C
Question: Christine and Siri have 21rs between them. Christine has 20rs more than Siri. How much does Christine have.
Choices:
17.5
18.5
19.5
20.5
Answer: D
Question: Group A has 2 boys and 7 girls, group B has 3 boys and 4 girls and group C has 2 boys and 2 girls. One student is selected from each of the group. Find the probability that one girl and two boys are among the three selected?
Choices:
105/378
291/105
209/315
77/272
Answer: A
Question: he number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is?
Choices:
2377
4320
2882
2782
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:
2997
1000
2688
2677
Answer: B
Question: The radius of a cylindrical vessel is 7cm and height is 5cm. Find the whole surface of the cylinder?
Choices:
528
440
767
1981
Answer: A
Question: A man can row upstream at 10kmph and downstream at 14kmph. Find man's rate in still water ?
Choices:
15km/hr
10km/hr
12km/hr
7.5km/hr
Answer: C
Question: In a certain bathtub, both the cold-water and the hot-water fixtures leak. The cold-water leak alone would fill an empty bucket inchours, and the hot-water leak alone would fill the same bucket inhhours, wherec < h. If both fixtures began to leak at the same time into the empty bucket at their respective constant rates and consequently it tookthours to fill the bucket, which of the following must be true?
I. c < t < h
II. 0 < t < h
III. (c/2) < t < (h/4)
Choices:
b) II only
c) III only
d) I and II
e) I and III
Answer: A
Question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
Choices:
22 1/2 %
21 %
30%
40 %
Answer: A
Question: Machine E can produce x units in 3/4 of the time it takes machine N to produce x units. Machine N can produce x units in 2/3 the time it takes machine O to produce x units. If all three machines are working simultaneously, what fraction of the total output is produced by machine N?
Choices:
1/3
4/13
8/29
6/33
Answer: B
Question: How many kg of sugar costing Rs. 9/kg must be mixed with 27kg of sugar costing Rs. 7/ kg so that there may be a gain of 10% the mixture at Rs. 9.24 per kg?
Choices:
50
56
60
63
Answer: D
Question: It is being given that (2^32 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
Choices:
(2^90 + 1)
(2^96 - 1)
(2^96 + 1)
(2^95 + 1)
Answer: C
Question: Arabica coffee costs $0.4 per ounce while Robusta coffee costs $0.3 per ounce. If the blend of Arabica and Robusta costs $0.33 per ounce, what is the share of Arabica in this blend?
Choices:
24%
30%
33%
40%
Answer: B
Question: Dacid obtained 91, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
78
39
37
75
Answer: A
Question: The cost price of 20 books is the same as the selling price of x books. If the profit is 25%, then the value of x is?
Choices:
16
18
22
24
Answer: A