antoine-444/aqua_rat_dataset huggingface dataset:
Question: What is the difference between the place value of 6 in the numeral 7669?
Choices:
160
180
190
540
Answer: D
Question: For what values of k will the pair of equations 4(3x + 4y) = 48 and kx + 12y = 30 does not have a unique solution?
Choices:
9
3
7.5
2.5
Answer: A
Question: If it takes a tub 3 minutes to drain 6/7 of its content, how much more time will it take for the tub to be empty?
Choices:
30 seconds
1 minute, 50 seconds
2 minutes, 14 seconds
4 minutes, 12 seconds
Answer: A
Question: If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Choices:
8
6
5
4
Answer: A
Question: In what time will a train 120 meters long completely pass an electric pole, if it travels at a speed of 60kmph.
Choices:
5.18
4.18
4.18
7.18
Answer: D
Question: A house seller can deduct 5 percent from the total sales value. If he has sold 5 houses, and the price of two houses is between $150,000 and $250,000, one of them is $300,000 house, two houses are between $500,000 and 800,000, what is the range of his revenue?
Choices:
800
850
860
880
Answer: D
Question: In how many ways can the letters of word "EDUCATION" be arranged such that NO two vowels appear together?
Choices:
5!*4!
5!*5!
5!*4!*2!
6!*4!
Answer: A
Question: In a sequence, each term is obtained by adding 8 to the preceding one. If the sum of the first 30 terms is equal to 210, what is the result of the addition of the first 50 terms?
Choices:
8575
8650
8680
8700
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:
27 1/2 kmph
42 1/2 kmph
22 1/2 kmph
22 5/2 kmph
Answer: C
Question: In a primary school, 10% of students are below 11 years of age. The number of students above 11 years of age is 3/4 of the number of students of 11 years of age which is 36. What is the total number of students in the school?
Choices:
80
70
150
None of these
Answer: B
Question: Sandy is younger than Molly by 10 years. If their ages are in the respective ratio of 7:9, how old is Molly?
Choices:
36
45
54
63
Answer: B
Question: If G and H are positive integers, and the remainder obtained when G is divided by H is the same as the remainder obtained when H is divided by G, which of the following is a possible value of GH?
Choices:
55
46
35
4
Answer: D
Question: How many distinct ponts do the hour and minute hands of a clock meet on its dual between 6AM and 6PM of certain day.
Choices:
13 times
12 times
11 times
10 times
Answer: C
Question: Vinay spends 30% of his salary on house rent and 55% of the remaining money on food and clothes. He saves the remaining amount. If he saves ?59724 yearly, how much amount does he spend on food and clothes per month ?
Choices:
Rs. 4792
Rs. 5817
Rs. 6080
Rs. 6083
Answer: D
Question: A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
Choices:
87 minutes
70 minutes
27 minutes
11 minutes
Answer: B
Question: A train 400 m long is running at a speed of 54 km/hr. If it crosses a tunnel in 2 minutes. Then what is the length of tunnel?
Choices:
1400 m
1600 m
1800 m
2200 m
Answer: A
Question: (935421 x 625) = ?
Choices:
584632125
544638125
584638125
None of these
Answer: C
Question: What is the probability of getting a sum 9 from two throws of a dice?
Choices:
1/8
1/9
1/12
1/21
Answer: B
Question: Pointing a photograph X said to his friend Y, "She is the only daughter of the father of my mother." How X is related to the person of photograph?
Choices:
Son
Nephew
Cannot be decided
None
Answer: B
Question: Sandy had $231 left after spending 30% of the money she took for shopping. How much money did Sandy take along with her?
Choices:
$290
$310
$330
$350
Answer: C
Question: In the first 5 overs of a cricket game, the run rate was only 2.1. What should be the rate in the remaining 30 overs to reach the target of 200 runs?
Choices:
6.28
6.31
6.19
6.21
Answer: B
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
Choices:
38000
38098
38028
27768
Answer: A
Question: A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 6 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Choices:
7.4
7.9
12.0
7.1
Answer: C
Question: Apple costs L rupees per kilogram for first 30kgs and Q rupees per kilogram for each additional kilogram. If the price of 33 kilograms is 11.67and for 36kgs of Apples is 12.48 then the cost of first 10 kgs of Apples is
Choices:
3.66
3.6
3.62
3.61
Answer: C
Question: The sum of the present ages of father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:
Choices:
11 years
10years
20 years
9 years
Answer: C
Question: What is the remainder when 43*49 is divided by 8?
Choices:
3
4
5
7
Answer: A
Question: 102 Ã— 102 + 98 Ã— 98 = ?
Choices:
20028
20108
10008
20008
Answer: D
Question: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
Choices:
12
26
29
24
Answer: A
Question: Mark is playing poker at a casino. Mark starts playing with 110 chips, 20% of which are $100 chips and 80% of which are $20 chips. For his first bet, Mark places chips, 10% of which are $100 chips, in the center of the table. If 70% of Mark's remaining chips are $20 chips, how much money did Mark bet?
Choices:
$1,740
$1,540
$3,080
$2,640
Answer: B
Question: How many zeroes are there at the end of the number N, if N = 70! + 140! ?
Choices:
12
16
20
24
Answer: B
Question: The area of a circular field is 17.56 hectares. Find the cost of fencing it at the rate of Rs. 7 per metre approximately
Choices:
10400
4235
4547
4675
Answer: A
Question: If the sum of two numbers is 12 and the sum of their squares is 124, then the product of the numbers is
Choices:
10
80
88
90
Answer: A
Question: The average expenditure of a labourer for 6 months was 70 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income i
Choices:
69
75
78
80
Answer: A
Question: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
Choices:
5/21
5/29
5/27
5/12
Answer: A
Question: A's speed is 20/13 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that B beats A by 60% of the length of the race?
Choices:
48%
52%
42%
74%
Answer: D
Question: Laya finished 2/3 of a book. She calculated that she finished 50 more pages than she has yet to read. How long is her book?
Choices:
A)150
C)130
D)90
E)210
Answer: A
Question: A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 30. Find the profit percentage?
Choices:
50
56
51
52
Answer: A
Question: Simplify 1235 * 9999
Choices:
122265
428589
864597
256998
Answer: A
Question: Car A runs at the speed of 50 km/hr and reaches its destination in 8 hours. Car B runs at the speed of 70 km/h and reaches its destination in 4 hours. What is the ratio of distances covered by Car A and Car B?
Choices:
4 : 9
10 : 7
5 : 7
6 : 11
Answer: B
Question: In a box, there are 6 red, 3 blue and 56 green balls. One ball is picked up randomly. What is the probability that it is neither blue nor green?
Choices:
8/21
6/14
9/22
10/21
Answer: B
Question: The length and width of a rectangle are integer values. What is the area of the smallest such rectangle that can be inscribed in a circle whose radius is also an integer
Choices:
45
36
48
60
Answer: A
Question: one year before the age of pramila was four times than her daughter swati.after 6 years the age of pramila will be 24 year greater than the age of swati.then calculate the ratio of ages of pramila and swati?
Choices:
16:3
11:3
11:5
9:4
Answer: B
Question: Abhay’s age after six years will be three-seventh of his fathers age. Ten years ago the ratio of their ages was 1 : 5. What is Abhay’s father's age at present?
Choices:
48 years
50 years
54 years
35 years
Answer: B
Question: A 300-metre-long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
650 metres
350 metres
Data inadequate
None of these
Answer: B
Question: If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 5:7 then find the largest number?
Choices:
25
40
44
46
Answer: B
Question: A man buys 25 shares in company which pays 9 % dividend. The
money invested is such that it gives 10 % on investment. At what price did he buy the shares?
Choices:
22.5
23
24
25.5
Answer: A
Question: In a survey conducted to find out the readership of three Newspapers A,B and C, it was found that the number of newspaper A is at least 20 and at most 40. The number of people who read newspaper B is at least 50 and at most 70. The number of people who read newspaper C is at least 70 and at most 83. It was also found that 6 people read all three newspapers. Find the minimum number of people who read both A and B but not C.
Choices:
B)2
C)3
D)0
E)5
Answer: A
Question: In how many ways 8 different tickets 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: At a dinner party 2 people are to be seated around a circular table. Two sitting arrangements are considered different only when the positions of the people are different relative to each other.What is the total number of possible sitting arrangements or the group?
Choices:
1
24
32
120
Answer: A
Question: An Olympic diver received the following scores: 5, 3, 7, 6, and 4. The standard deviation of her scores is
Choices:
1.41
3.41
4.41
5.41
Answer: A
Question: At a local beach, the ratio of little dogs to average dogs to enormous dogs is 1:4:8. Late in the afternoon, the ratio of little dogs to average dogs doubles and the ratio of little dogs to enormous dogs increases. If the new percentage of little dogs and the new percentage of average dogs are both integers and there are fewer than 30 total dogs at the beach, which of the following represents a possible new percentage of enormous dogs?
Choices:
40%
50%
55%
70% or 20%
Answer: D
Question: You collect coins. Suppose you start out with 15. Since you're nice, you give Sharon 3 coins. Since you're nice, you give Steven 4 coins. How many coins do you have at the end?
Choices:
3
8
5
6
Answer: B
Question: There is 60% increase in an amount in 6years at SI. What will be the CI of Rs. 12,000 after 3 years at the same rate?
Choices:
2572
4542
2343
3972
Answer: D
Question: Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 8 percent during the second year, and decreased by 10 percent during the third year. What is the value of the account today?
Choices:
$10,395
$10,692
$11,500
$12,705
Answer: B
Question: In 4 years, Rajs father will be double Rajs age then. Two years ago, while his mother was twice his age that time. If Raj is going to be 32 years old 8 years from now, then what is the sum of his parents age now?
Choices:
98
99
95
96
Answer: A
Question: Worker A takes 12 hours to do a job. Worker B takes 15 hours to do the same job. How long it take both A & B, working together but independently, to do the same job?
Choices:
40/9 days
39/9 days
30/9 days
20/3 days
Answer: D
Question: Find the area of a parallelogram with base 36 cm and height 18 cm?
Choices:
887 cm2
384 cm2
268 cm2
648 cm2
Answer: D
Question: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 55 players took part in that tournament. How many matches were played?
Choices:
90 matches
99 matches
85 matches
87 matches
Answer: A
Question: If four coins are tossed, the probability of getting two heads and two tails is -.
Choices:
3/5
4/3
3/8
9/8
Answer: C
Question: Two trains 300m and 400m long run at the speeds of 40 kmph and 50kmph respectively in opposite Directions on parallel tracks. The time taken to cross each other?
Choices:
28sec
30sec
15sec
25sec
Answer: A
Question: Which common no should be added or substracted to 17/24 to make it 1/2
Choices:
4/24
5/24
6/24
7/24
Answer: B
Question: Townville has 100 residents, and 60 of them are females. If half of Townville’s male residents are smokers, and 1/2 of the female residents are smokers, which of the following represents the total number of Townville’s residents who are NOT smokers?
Choices:
50
52
54
56
Answer: A
Question: 0.009/x=0.025. find the value of X
Choices:
0.36
0.3
36
90
Answer: B
Question: If Log 4 (x) = 12, then log 2 (x / 4) is equal to
Choices:
25
21
22
26
Answer: C
Question: A person incurs 10% loss by selling a laptop for $900. At what price should the watch be sold to earn 10% profit?
Choices:
1000
1100
1050
1250
Answer: B
Question: Two plates and one cup costs $27. Three plates and four cups cost $58. Find the cost of a cup.
Choices:
7
10
5
9.5
Answer: A
Question: Today Joelle opened an interest-bearing savings account and deposited $6,000. If the annual interest rate is 5 percent compounded interest, and she neither deposits nor withdraws money for exactly 2 years, how much money will she have in the account?
Choices:
$5615
$6415
$6615
$6315
Answer: C
Question: A trader marked the price of a car 20% above the cost price and allowed the purchaser 5% discount on the marked price there by gained Rs.8400. Find the cost price of the car?
Choices:
1026
1023
1029
1021
Answer: B
Question: loga (ab) = x, then log b (ab) is :
Choices:
x/ (x+1)
x/(1-x)
x/(x-1)
x/(x-2)
Answer: C
Question: A certain school principal must choose 5 students to attend a field trip out of a group of 9 students. In addition, out of the 5 chosen students, the principal must select a note-taker and a treasurer. How many different ways are there for the principal to select the 5 students and then select the treasurer and the note-taker?
Choices:
2,520
5,040
6,020
10,080
Answer: A
Question: A train covers a distance of 18 km in 10 min. If it takes 9 sec to pass a telegraph post, then the length of the train is?
Choices:
180m
270m
220m
280m
Answer: B
Question: If A's salary is 20% less than B's salary, by how much percent is B's salary more than A's?
Choices:
10%
15%
25%
None
Answer: C
Question: what is the ratio of two no. 5xy and 8xy.
Choices:
3:4
5:8
2:3
1:2
Answer: B
Question: Alfred buys an old scooter for $4700 and spends $600 on its repairs. If he sells the scooter for $5800, his gain percent is?
Choices:
6.23%
7%
9.43%
10%
Answer: C
Question: A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
Choices:
200
882
272
323
Answer: A
Question: If there is an equal probability of a child being born a boy or a girl, what is the probability that a couple who have 8 children have two children of the same sex and one of the opposite sex?
Choices:
2/3
1/4
1/16
3/5
Answer: C
Question: A man goes from A to B at a speed of 20 kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey?
Choices:
38 kmph
24 kmph
34 kmph
04 kmph
Answer: C
Question: If P(A) = 2/5 and P (B) = 2/5, find P (A n B) if A and B are independent events.
Choices:
4/25
8/25
2/13
3/17
Answer: A
Question: The average weight of a group of boys is 30 kg. After a boy of weight 35 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:
6
4
8
9
Answer: B
Question: Which of the following has the most number of divisors?
Choices:
101
176
182
107
Answer: B
Question: If two balls are randomly selected from a green urn containing 4 black and 4 white balls and placed into a yellow urn initially containing 5 black and 3 white balls. What is the probability that the yellow urn will contain an equal number of black and white balls after the change?
Choices:
A.3/14
C.5/9
D.1/3
E.1/9
Answer: A
Question: A reduction of 30% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Choices:
2.3
2.5
2.1
4.3
Answer: D
Question: In a committee there are 15 men and 10 women. If three members are selected randomly then what is the probability that 1 women and 2 men are selected?
Choices:
21/31
21/46
11/21
11/23
Answer: B
Question: For which of the following values of s is (70+s)/s an integer?
Choices:
4
9
11
70
Answer: D
Question: What is the greatest number of four digits which is divisible by 15, 25, 40 and 75 ?
Choices:
9600
9400
9500
9200
Answer: A
Question: A, B and C started a partnership business by investing Rs.24000, Rs.32000, Rs.36000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit?
Choices:
60000
80000
92000
50000
Answer: C
Question: The sum of two numbers is 8 and the sum of their squares is 120. Find the product of the two numbers.
Choices:
24
23
21
28
Answer: D
Question: In Arun's opinion, his weight is greater than 65 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 68 kg. If all of them are correct in their estimation, what is the average of diferent probable weights of Arun ?
Choices:
66.5 kg
26.5 kg
56.5 kg
86.5 kg
Answer: A
Question: What will the ratio of simple interest earned by certain amount at the same rate of interest for 12 years and that for 10 years.
Choices:
6:5
2:5
4:3
None of these
Answer: A
Question: The roots of the equation ax2 + 3x + 6 = 0 will be reciprocal to each other if the value of a is
Choices:
4
5
6
7
Answer: C
Question: A BUS is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the BUS?
Choices:
metres
metres
metres
metres
Answer: B
Question: 5% of men have unlisted phone numbers and 4% of women have unlisted phone numbers. Population ratio of men : women in the city of gpuzzles is 4:3. If we select randomly 100 people from the phone directory, Can you tell us how many people selected will definitely have unlisted phone numbers?
Choices:
0%
2%
3%
4%
Answer: A
Question: The cost price of 20 books is the same as the selling price of ’X’ books. If the profit is 32%, then the value of X is ?
Choices:
18
11.9
15
14
Answer: B
Question: In a triangle, one side is 6 Cm and another side is 9 Cm. which of the following can be the perimeter of the triangle?
Choices:
25.
30.
32.
34.
Answer: A
Question: The first flight out of Phoenix airport had a late departure. If the next three flights departed on-time, how many subsequent flights need to depart from Phoenix on-time, for the airport's on-time departure rate to be higher than 60%?
Choices:
4
6
8
7
Answer: A
Question: There has been successive increases of 30% and then 20% in the price of gas from the previous month. By what percentage should a driver reduce gas consumption so that the expenditure does not change?
Choices:
24%
28%
32%
36%
Answer: D
Question: If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was?
Choices:
120000
120082
120028
120039
Answer: A
Question: In ΔPQS above, if PQ =6 and PS = 7, then
Choices:
12/5
16/5
15/4
21/4
Answer: D
Question: The famous church in the city of Kumbakonnam has a big clock tower and is said to be over 300 years old. Every Monday 10.00 A M the clock is set by Antony, doing service in the church. The Clock loses 6 mins every hour. What will be the actual time when the faulty clock shows 3 P.M on Friday?
Choices:
2.12
2.13
2.11
2.1
Answer: A
Question: Three investors, A, B, and C, divide the profits from a business enterprise in the ratio of 5 : 7 : 8, respectively. If investor A earned $ 2,500, how much money did investors B and C earn in total?
Choices:
$4,900
$7,500
$9,500
$10,500
Answer: B
Question: The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Choices:
56
66
76
74
Answer: A
Question: 3 buffaloes eat as much as 4 cows or 2 oxen. At a farm there are 15 buffaloes, 8 oxen and 24 cows. The fodder for these cattle is available for 24days. If 8 more cows & 9 more buffaloes are brought in, how long will the fodder last?
Choices:
14
15
18
21
Answer: C
Question: Find the average of all prime numbers between 50 and 70
Choices:
45
60
90
26
Answer: B
Question: A triangle marked A,B and C on its three sides . Three colors, grey, violet, and purple are used to paint the three sides of the triangle. If the adjacent faces are painted with the different colors, in how many ways can the triangle sides be painted?
Choices:
3
6
12
36
Answer: A
Question: What is the greatest integer m for which the number 30!/10^m is an integer?
Choices:
7
9
10
11
Answer: A
Question: To get to a business meeting, John drove m miles in h hours, and arrived 1/2 hour early. At what rate should he have driven to arrive exactly on time?
Choices:
2m/(2h+1)
2m/(2h-1)
2m-h/2h
none of these
Answer: B
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 22 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
240
210
267
211
Answer: B
Question: An outlet pipe empties a tank which is full in 10 hours. If the inlet pipe is kept open, which lets water in at the rate of 4 litres/min then outlet pipe would take 6 hours longer. Find the capacity of the tank.
Choices:
6400 litres
12800 litres
11200 litres
13200 litres
Answer: A
Question: What decimal of an hour is a second?
Choices:
.0256
.00027
.000126
None
Answer: B
Question: A bus started its journey from Chennai and reached Mumbai in 50 min with its average speed of 60 km/hr. If the average speed of the bus is increased by 6 km/hr, how much time will it take to cover the same distance?
Choices:
55 min.
65 min.
60 min.
50 min.
Answer: A
Question: What will be the income tax payable by a person getting a taxable income of Rs. 30,000 during the year if the first Rs. 18000 is not taxable and the tax rates arc 25% of the next Rs. 25000 ?
Choices:
Rs. 3000
Rs. 3500
Rs. 3750
None of these
Answer: A
Question: The equation w = 2y2 + 5y - 17, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at w = -5, the equation for l is
Choices:
- 3x - 11 = 0
+ y - 16.5 = 0
- y - 7 = 0
+ y + 13.5 = 0
Answer: B
Question: Three bells chime at intervals of 18 min., 24 min. and 32 min. respectively. At a certain time they begin together. What length J of time will elapse before they chime together again?
Choices:
4 hr. and 48 min.
1 hr. and 36 min.
5 hr.
2 hr.
Answer: A
Question: Two pipes P and Q can fill a cistern in 10 and 15 minutes respectively. Both are opened together, but at the end of 4 minutes the first is turned off. How many more minutes will it take for the cistern to fill after the first pipe is turned off?
Choices:
4
4.5
5
5.5
Answer: C
Question: If n is an integer greater than 7, which of the following must be divisible by 3 ?
Choices:
n(n + 1)(n – 4)
n(n + 2)(n – 1)
n(n + 3)(n – 5)
n(n + 5)(n – 6)
Answer: A
Question: Two trains of equal length, running with the speeds of 60 and 100 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
Choices:
6.25
7.35
2.62
2.28
Answer: A
Question: The length of the bridge, which a train 120 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
288
245
255
232
Answer: C
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 $61.2 after it went on sale for 15% off, what is the difference between the original price and the final price?
Choices:
$4.50
$3.40
$5.00
$6.80
Answer: A
Question: A certain clock marks every hour by striking a number of times equal to the hour,and the time required for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stroke and the end of the last stroke is 33 seconds. at 12:00 ,how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
Choices:
B.50
C.48
D.69
E.44
Answer: C
Question: A contractor agreeing to finish a work in 150 days, employed 75 men each working 8 hours daily. After 90 days, only 2/7 of the work was completed. Increasing the number of men by ________ each working now for 10 hours daily, the work can be completed in time.
Choices:
232 men
838 men
539 men
150 men
Answer: D
Question: A special municipal payroll tax charges not tax on a payroll less than $200,000 and only 0.2% on a company’s payroll above $200,000. If Belfried Industries paid $200 in this special municipal payroll tax, then they must have had a payroll of?
Choices:
$202,000
$220,000
$300,000
$2,200,000
Answer: C
Question: If 1,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?
Choices:
100
1,000,000
10
10,000
Answer: B
Question: If an article with marked price of $400 is sold at successive discount of 15%,25% and 15%,what is the price the customer has to pay?
Choices:
108
230
216
224
Answer: C
Question: Angela, Bernie, and Colleen can complete a job, all working together, in 5 hours. Angela and Bernie, working together at their respective rates, can complete the same job in 6 hours. How long would it take Colleen, working alone, to complete the entire job?
Choices:
10 hours
12 hours
30 hours
20 hours
Answer: C
Question: The parameter of a square is equal to the perimeter of a rectangle of length 18 cm and breadth 10 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square.
Choices:
44.0
23.55
23.53
23.57
Answer: A
Question: Find the unit's digit in the product (2467)163 x (341)72.
Choices:
7
3
4
1
Answer: A
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 60 hrs and a machine of type S does the same job in 90 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
Choices:
15
16
18
20
Answer: C
Question: Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively
Choices:
127
129
131
150
Answer: A
Question: If a certain manager had received a 10% raise instead of the 8% raise that she actually received, her salary would have been $60,500. What was her actual salary after the raise?
Choices:
58,806
59,290
59,400
61,620
Answer: C
Question: A cistern can be filled by a tap in 2 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:
2.57 hrs
6.57 hrs
7.2 hrs
9.27 hrs
Answer: A
Question: Sakshi can do a piece of work in 20 days.Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work :
Choices:
16
18
25
None of these
Answer: A
Question: Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 54 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Choices:
17 minutes
15 minutes
6 minutes
12 minutes
Answer: C
Question: Nicole cycles at a constant rate of 10 kilometers per hour, and is passed by Jessica, who cycles at a constant rate of 30 kilometers per hour. If Jessica cycles at her constant rate for x minutes after passing Nicole, then stops to wait for her, how many minutes will Jessica have to wait for Nicole to catch up to her?
Choices:
b) x/2 minutes
c) 2x/3 minutes
d) 3x/2 minutes
e) 2x minutes
Answer: B
Question: Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and they are sold fetching the profit 20% and 20% respectively. If the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4/3 and 5/3 times respectively, then the mixture will fetch the profit of
Choices:
18%
21%
23%
Cannot be determined
Answer: A
Question: John has 10 pairs of matched socks. If he loses 13 individual socks, what is the greatest number of pairs of matched socks he can have left?
Choices:
3
5
4
1
Answer: A
Question: The income derived from a Rs. 100, 13% stock at Rs. 105, is :
Choices:
Rs. 8
Rs. 13
Rs. 18
Rs. 19
Answer: B
Question: It rained as much as on Wednesday as on all the other days of the week combined. If the average rainfall for the whole week was 5 cms, How much did it rain on Wednesday?
Choices:
17.5
10.2
10.1
10.6
Answer: A
Question: If 15 people contributed a total of $30.00 toward a gift and each of them contributed at least $1.00, then the maximum possible amount any one person could have contributed is
Choices:
$16
$5.00
$6.00
$20.00
Answer: A
Question: After distributing the sweets equally among 25 children, 8 sweets remain. Had the number of children been 28, 22 sweets would have been left after equal distribution. What was the total number of sweets ?
Choices:
348
358
362
Data inadequate
Answer: B
Question: What will be the product of (50-1)*(50-2)*(50-3)*..............*(50-99)*(50-100)?
Choices:
-2500
0
2500
more than 100,000
Answer: B
Question: Sonika deposited Rs.8000 which amounted to Rs.11200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
Choices:
2277
11680
12068
1212
Answer: B
Question: In an examination, the percentage of students qualified to the students appeared from school 'P' is 70%. In school 'Q', the number of students appeared is 30% more than the students appeared from school 'P' and the number of students qualified from school 'Q' is 50% more than the students qualified from school 'P'. What is the % of students qualified to the number of students appeared from school 'Q' ?
Choices:
80.76%
60.50%
43 %
None of these
Answer: A
Question: Rs. 50000 is divided into two parts One part is given to a person with 10% interest and another part is given to a person with 20 % interest. At the end of first year he gets profit 7000 Find money given by 10% ?
Choices:
Rs.30120
Rs.30000
Rs.31209
Rs.30121
Answer: B
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 7 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Choices:
487
481
840
268
Answer: C
Question: Ram and Shakil run a race of 2000 meters. First, Ram gives Shakil a start of 200 meters and beats him by one minute. If , Ram gives Shakil a start of 6 minutes Ram is beaten by 1000 meters. Find the time in minutes in which Ram and Shakil can run the races separately.
Choices:
8,10
9,10
10,10
10,12
Answer: A
Question: Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 9 percent. Overall he make a.
Choices:
288
27
120
881
Answer: C
Question: A wolf eats 5.5 Kg of meat in 3 days. A baby tiger eats 3 Kg of meat in 3 days. How much meat can the two combined eat in three days?
Choices:
9.5
8.5
7.5
6.5
Answer: B
Question: How many different 6-letter sequences are there that consist of 2A, 60B's and 10C's ?
Choices:
60
120
360
720
Answer: D
Question: The average of first 10 even numbers is?
Choices:
18
16
11
17
Answer: C
Question: In what time will Rs.4000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?
Choices:
8 1/3
8 1/4
8 1/8
8 1/9
Answer: A
Question: A man is 26 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is
Choices:
22 years
88 years
66 years
24 years
Answer: D
Question: How many digits will be there to the right of the decimal point in the product of 95.75 and .02554 ?
Choices:
3
4
5
6
Answer: D
Question: In 6 years, A will be thrice as old as B was 4 years ago. If A is now 6 years older than B, find the present age of B.
Choices:
24 years
8 years
12 years
18 years
Answer: C
Question: A driver just filled the car's gas tank with 45 liters of gasohol, a mixture consisting of 5% ethanol and 95% gasoline. If the car runs best on a mixture consisting of 10% ethanol and 90% gasoline, how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance?
Choices:
1.7
2.1
2.5
2.9
Answer: C
Question: In a group of cows and chickens, the number of legs was 14 more than twice the number of heads. The number of cows was:
Choices:
5
9
7
8
Answer: C
Question: If a particular player is always chosen, in how many ways cana cricket-be chosen out of 15 players?
Choices:
1376
1245
1456
1365
Answer: D
Question: A, B and C can do a work in 6, 8 and 12 days respectively doing the work together and get a payment of Rs.1800. What is B’s share?
Choices:
245
600
743
215
Answer: B
Question: Which of the following is equal to 1(4/5)%?
Choices:
0.12/100
1.2/100
1.8/100
12/10
Answer: C
Question: Donna, Chris, and Austin have a total of $93 in their wallets. Donna has $7 more than Chris. Austin has 3 times what Donna has. How much money has Donna?
Choices:
$20
$60
$80
$100
Answer: A
Question: In a certain book club, the members are voting between two books – a mystery novel and a biography – to decide which book the group will read next. There are 3 times as many votes for the mystery novel as there are votes for the biography. The ratio of biography votes to the mystery votes is
Choices:
1 to 3
1 to 4
2 to 3
3 to 4
Answer: A
Question: If (1+p)q=q, which of the following must be true?
Choices:
p=0 or q=0
p=1 or q=1
p=-1 or q=-1
p=0 or q=1
Answer: A
Question: A and B write a test A says " i got a third of the ques. wrong" b says " i got 5 wrong" together they got three quarters of the questions correct.how many did A get correct.
Choices:
3/4
5/4
1/3
5/3
Answer: A
Question: a = 5^10 - 625^2 and a/x is an integer, where x is a positive integer greater than 1, such that it does NOT have a factor p such that 1 < p < x, then how many different values for x are possible?
Choices:
One
Two
Three
Four
Answer: B
Question: Working together, 7 identical pumps can empty a pool in 6 hours. How many hours will it take 3 pumps to empty the same pool?
Choices:
13
12
14
10
Answer: C
Question: If Juan takes 13 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
Choices:
13x/y
x/(13y)
13/(xy)
xy/13
Answer: A
Question: A shop sells 2 typesof shirts: cotton and woolen. A pair of cottonshirts is sold at 30% profit and a pair of woolen shirts is sold at 50%50% profit. The salesman has calculated that if he sells 100% more woolen shirts than cottonshirts, his overall profit will be 45%. However, he ends up selling 50%50% more cotton trousers than woolen trousers. What will be his overall profit?
Choices:
30%
40%
50%
65%
Answer: B
Question: A box contains 3 blue marbles, 4 red, 4 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Choices:
1/286
1/91
4/455
None of these
Answer: A
Question: The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 1000 per sq.metre.
Choices:
Rs. 15,500
Rs. 15,600
Rs. 20,625
None
Answer: C
Question: Which of the following is closest to (8!-7!)/(8!+7!)?
Choices:
0.8
0.2
1
10
Answer: A
Question: Two pipes A and B can separately fill a tank in 12 and 15 minutes respectively. A third pipe C can drain off 45 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank?
Choices:
540
772
272
121
Answer: A
Question: There are seven thieves. They stole diamonds from a diamond merchant and ran away. While running, night sets in and they decide to rest in the jungle.
When everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves. But when they divided the diamonds equally, one diamond is left.
So they woke up the 3rd thief and tried to divide the diamonds equally again but still one diamond was left. Then they woke up the 4th thief to divide the diamonds equally again, and again one diamond was left. This happened with the 5th and 6th thief – one diamond was still left.
Finally, they woke up the 7th thief and this time the diamonds were divided equally.
How many diamonds did they steal in total?
Choices:
1561
1559
1557
None of the above
Answer: A
Question: What is the units digit of the expression 14^7−15^4?
Choices:
8
4
6
3
Answer: A
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 7 seconds. What is the length of the fast train ?
Choices:
28 7/9
29 7/9
38 8/9
None of these
Answer: C
Question: What is the smallest positive integer K such that the product of 61347 x K is a perfect square?
Choices:
3
15
25
63
Answer: A
Question: Leila is playing a carnival game in which she is given 4 chances to throw a ball through a hoop. If her chance of success on each throw is 1/5, what is the chance that she will succeed on at least 3 of the throws?
Choices:
1/5^3
6/5^4
13/5^4
17/5^4
Answer: D
Question: The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8, is :
Choices:
536
544
548
None of these
Answer: C
Question: Ram is 8 years younger than Sundar, and Mahi is thrice as old as Ram. If S is Sundar’s age and M is Mahi’s age, what is the relationship between S and M?
Choices:
M = 3S + 14
M = 3S + 5
M = 3S − 10
M = 3S − 24
Answer: D
Question: If cost of 15 eggs be 82 rupees, then find out the cost of 5 dozen eggs.
Choices:
400
330
600
700
Answer: B
Question: 4, 12, 48, 240, 1440, 10080,(...)
Choices:
80640
6200
10020
12500
Answer: A
Question: If (10^4 * 3.456789)^14 is written as a single term, how many digits would be to the right of the decimal place?
Choices:
14
21
28
42
Answer: C
Question: When m is divided by 9, the remainder is 2. When m is divided by 13, the remainder is 3. If 1 < m < 300, what is the greatest possible value of m?
Choices:
203
233
263
293
Answer: C
Question: The ratio of numbers is 3:4 and their H.C.F is 5. Their L.C.M is:
Choices:
16
24
60
98
Answer: C
Question: How many different ways can you select a pilot and a co pilot if you have 100 people to choose from?
Choices:
200
398
4950
9900
Answer: D
Question: A driving school claims an average test pass rate of 76.8 percent. What is the least number of pupils required to achieve this result?
Choices:
127
125
152
112
Answer: B
Question: A committee is reviewing a total of 30x black-and-white films and 6y color films for a festival. If the committee selects y/x% of the black-and-white films and all of the color films, what fraction of the selected films are in color?
Choices:
20/21
23/21
25/21
28/21
Answer: A
Question: A 900 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
1050
1060
370
380
Answer: A
Question: A certain number when divided by 39 leaves a remainder 18, what is the remainder when the same number is divided by 13?
Choices:
8
9
6
5
Answer: D
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:
6 days
9 days
5 days
4 days
Answer: C
Question: Ashok secured average of 79 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject?
Choices:
104
99
17
80
Answer: A
Question: Two pipes can separately fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is full, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?
Choices:
16 hrs
15 hrs
13 hrs
12 hrs
Answer: A
Question: Three persons A, B and C started new business. A & C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A & B was 3:2, If Rs 157300 was their profit, how much amount did B receive?
Choices:
37900
39000
48400
52000
Answer: C
Question: If a,b, and c are consecutive positive integers and a>b>c, what can be the value of (a^2-b^2)(b^2-c^2)?
Choices:
88
99
110
121
Answer: B
Question: Two trains are moving at 80 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Choices:
6 sec
7 2/2 sec
8 sec
9 sec
Answer: A
Question: The average of 13 numbers is 10.9. If the average of the first seven numbers is 10.5 and that of the last seven numbers is 11.4, then the middle number is
Choices:
11.6
12.6
13.3
14.4
Answer: A
Question: The maximum number of student amoung them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
Choices:
91
1001
1911
None of these
Answer: A
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Choices:
33 2/3%
33 1/3%
33 3/3%
32 1/3%
Answer: B
Question: A pump can fill a tank with water in 2 hours. Because of a leak, it took 2x1/3 hours to fill the tank. The leak can drain all the water of the tank in
Choices:
7 hours
8 hours
14 hours
18 hours
Answer: C
Question: A parking garage rents parking spaces for $10 per week or $20 per month. How much does a person save in a year by renting by the month rather than by the week?
Choices:
$160
$220
$240
$280
Answer: D
Question: How many words can be formed by using all letters of the word “BIHAR”
Choices:
451
120
123
150
Answer: B
Question: In a certain pond, 40 fish were caught, tagged, and returned to the pond. A few days later, 40 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
Choices:
1000
1,250
2,500
10,000
Answer: A
Question: The ratio of two quantities is 1 to 2. If each of the quantities is increased by 15, what is the ratio of these 2 new quantities?
Choices:
25:27
15:16
20:21
It cannot be determined from the information given
Answer: D
Question: Line k is in the rectangular coordinate system. If the a-intercept of k is -2, and the y-intercept is 3, which of the following is an equation of line k?
Choices:
-3a + 2y = 6
3a - 2y = 6
2a - 3y = 6
-2a - 3y = 6
Answer: A
Question: In 1979 approximately 1/3 of the 37.3 million airline passengers traveling to or from the United States used Kennedy Airport. If the number of such passengers that used Miami Airport was 1/3 the number that used Kennedy Airport and 4 times the number that used Logan Airport, approximately how many millions of these passengers used Logan Airport that year?
Choices:
9.3
6.2
3.1
1.01
Answer: D
Question: At a certain fruit stand, the price of each apple is 50 cents and the price of each orange is 60 cents. Mary selects a total of 10 apples and oranges from the fruit stand, and the average (arithmetic mean) price of the 10 pieces of fruit is 56 cents. How many oranges must Mary put back so that the average price of the pieces of fruit that she keeps is 52 cents?
Choices:
2
3
4
5
Answer: D
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 26 sec. What is the length of the platform?
Choices:
150 m
289 m
299 m
219 m
Answer: A
Question: A is twice as good a workman as B. Together they finish a piece of work in 18 days. Then B can do a similar work by himself in :
Choices:
54 days
29 days
17 days
37 days
Answer: A
Question: The sum of the ages of 4 children born at the intervals of 4 years each is 48 years. What is the age of the youngest child?
Choices:
4 years
6 years
8 years
10 years
Answer: B
Question: The product of the prime integers between 23 and 35, inclusive, is:
Choices:
99,029
2,303
22,011
2,000
Answer: C
Question: A flagpole 18 meters high casts a shadow of length 45 meters. If a building under similar conditions casts a shadow of length 65 meters, what is the height of the building (in meters)?
Choices:
24
26
28
30
Answer: B
Question: If the L.C.M of two numbers is 600 and their product is 18000, find the H.C.F of the numbers.
Choices:
30
125
25
None of these
Answer: A
Question: What will come in place of the x in the following Number series? 46080, 3840, 384, 48, 8, x
Choices:
2
4
5
6
Answer: A
Question: There are 4 different letters and 4 addressed envelopes.In how many ways can the letters be put in the envelopes so that atleast one letter goes to the correct address ?
Choices:
77
2087
27066
2811
Answer: A
Question: A certain number of workers can do a work in 75 days. If there were 10 workers more it could be finished in 10 days less. How many workers are there?
Choices:
65
28
24
32
Answer: A
Question: If a fair 6-sided die is rolled three times, what is the probability that exactly one 5 is rolled?
Choices:
50/216
25/72
25/36
5/6
Answer: B
Question: An empty container is filled with pure alcohol. The alcohol is slowly allowed to run out and when the container is 1/4 empty ,it is replaced with water . Next, when the container is half empty it is again filled with water. Finally, when it is empty, it is again filled with water. What percentage of container is alcohol now?
Choices:
113/4%
93/8 %
143/8%
none of these
Answer: B
Question: A train passes a man standing on the platform. If the train is 170 meters long and its speed is 72 kmph, how much time it took in doing so?
Choices:
5 1/2
2 1/2
8 1/2
8 2/2
Answer: C
Question: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
Choices:
175
190
200
210
Answer: A
Question: What is the probability of getting a number less than 4 when a die is rolled?
Choices:
4/5
6/7
2/4
1/2
Answer: D
Question: A circular rim A having a diameter of 54 inches is rotating at the rate of x inches/min. Another circular rim B with a diameter of 27 inches is rotating at the rate of y inches/min. What is the value of y in terms of x, if both the rims reach their starting positions at the same time after every rotation.
Choices:
2x
4x
5x
6x
Answer: A
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 130 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
16 sec
37 sec
18 sec
17 sec
Answer: B
Question: The average of first eight prime numbers which are odd is?
Choices:
12.25
15.2
15.8
15.1
Answer: A
Question: (856942 x 555) = ?
Choices:
474638130
474638135
475602810
484638145
Answer: C
Question: There were 35 students in a hostel. Due to the admission of 7 new students, the expenses of mess were increased by 42 per day while the average expenditure per head diminished by 1. What was the original expenditure of the mess?
Choices:
400
445
465
None of the above
Answer: A
Question: The ratio 6 : 3 expressed as a percent equals
Choices:
40%
80%
200%
None
Answer: C
Question: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 192 votes. Find the total number of valid votes?
Choices:
438
436
480
422
Answer: C
Question: Two trains run in opposite directions on a circular track. Train A travels at a rate of 4π miles per hour and Train B runs at a rate of 6π miles per hour. If the track has a radius of 6 miles and the trains both start from Point E at the same time, how long, in hours, after the trains depart will they again meet at Point E?
Choices:
6
9
18
22
Answer: A