antoine-444/aqua_rat_dataset huggingface dataset:
Question: An equity analyst needs to select 4 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 8, in how many ways can she choose and rank her top 4 picks?
Choices:
1680
2102
4020
1840
Answer: A
Question: A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
110
112
113
115
Answer: B
Question: Today John is 3 times older than Mark. If in 13 years, John will be one year younger than twice the age of Mark on that day, how old is Mark today?
Choices:
12
36
38
39
Answer: A
Question: A train moves fast a telegraph post and a bridge 245 m long in 8 sec and 20 sec respectively. What is the speed of the train?
Choices:
73.5
79.9
79.2
79.1
Answer: A
Question: The side of a square is increased by 25% then how much % does its area increases?
Choices:
56.25
50.75
42.75
52.75
Answer: A
Question: Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
Choices:
2:15
9:31
8:17
9:19
Answer: B
Question: How much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 11 inches than that of a rectangular sheet of paper measuring 5.5 inches by 11 inches?
Choices:
87%
100%
187%
200%
Answer: B
Question: To mail a package, the rate is 20 cents for the first pound and 5 cents for each additional pound. Two packages weighing 5 pounds and 10 pounds, respectively can be mailed seperately or combined as one package. Which method is cheaper and how much money is saved?
Choices:
Separately, with a saving of 10 cents
Combined, with a saving of 15 cents
Separately, with a saving of 15 cents
Combined, with a saving of 5 cents
Answer: B
Question: An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.2800, what will be the difference between Q and R's share?
Choices:
3500
7282
2782
2729
Answer: A
Question: A father was as old as his son's present at the time of your birth. If the father's age is 38 years now, the son's age 5years back was?
Choices:
12 years
14 years
16 years
20 years
Answer: B
Question: On average, the bottle-nosed dolphin comes up for air once every four minutes; the beluga whale, a close relative, comes up for air on average once every six minutes. The number of times a bottle-nosed dolphin would come up for air in a 24 hour period is approximately what percent greater than the number of times a beluga whale would come up for air in that same period?
Choices:
100%
150%
200%
250%
Answer: A
Question: What is the sum of all the composite numbers up to 8?
Choices:
16
10
12
6
Answer: A
Question: The mean of (54,822)^2 and (54,824)^2 =
Choices:
(54,821.5)^2
(54,820.5)^2
(54,823)^2 + 1
(54,821)^2 – 1
Answer: C
Question: A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 40 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?
Choices:
1/200
1/25
1/50
1/900
Answer: A
Question: Tina has 12 shirts and 9 pants. How many clothing combinations does Barbara have, if she doesn’t wear 5 specific shirts with 3 specific pants?
Choices:
93
36
85
108
Answer: A
Question: The contents of a certain box consist of 14 apples and 12 oranges. How many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples?
Choices:
6
14
17
20
Answer: A
Question: (0.0088)(4.5) / (0.05)(0.1)(0.008)=
Choices:
940
980
960
990
Answer: D
Question: X and Y put in 3,000 and 4,000 respectively into a business. X reinvests into the business his share of the first year?s profit of 2,100 whereas Y does not reinvest. In what ratio should they share the second year?s profit?
Choices:
39 : 40
3 : 7
40 : 79
None of these
Answer: A
Question: One computer can upload 100 megabytes worth of data in 3 seconds. Two computers, including this one, working together, can upload 1300 megabytes worth of data in 30 seconds. How long would it take for the second computer, working on its own, to upload 100 megabytes of data?
Choices:
10
9
11
13
Answer: A
Question: Liz drove from point A to point B at 40 Km/h. On her way back she drove at 50 Km/h and therefore her way back lasted one hour less. What is the distance (in Km) between A and B?
Choices:
200
450
500
600
Answer: A
Question: Pipe A can fill a tank in 12 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
Choices:
27
98
27
36
Answer: D
Question: Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are
Choices:
42,31
42,32
42,33
42,55
Answer: C
Question: In a throw of coin what is the probability of getting tails.
Choices:
2
1/2
0
None of these
Answer: B
Question: A person's present age is one-fifth of the age of his mother. After 8years, he will be one - half of the age of his mother. How old is the mother at present ?
Choices:
B)44
C)32
D)45
E)40
Answer: D
Question: If a fair coin is tossed six times, what is the probability of getting exactly four heads in a row?
Choices:
5/64
3/16
3/8
1/8
Answer: A
Question: The average of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 14 students?
Choices:
18 years
19 years
19 years
13 years
Answer: C
Question: An uneducated retailer marks all his goods at 60% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the marked price. What is his actual profit on the sales?
Choices:
20 %
14 %
14.50 %
None
Answer: A
Question: If x < z < -1, which of the following is true?
Choices:
z/x > x+z
z/x > xz
z/x < x+z
z/x > x/z
Answer: A
Question: The profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448. What should be the sale price for making 40% profit?
Choices:
$450
$896
$870
$660
Answer: B
Question: The average age of 60 students in a class is 10years. If teacher's age is also included then average increases 1year then find the teacher's age?
Choices:
71
61
45
36
Answer: A
Question: In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 15, find the number?
Choices:
864
753
946
549
Answer: B
Question: How many pieces of 0.36 meteres can be cut from a rod 26.5 meteres long
Choices:
40
50
60
73
Answer: C
Question: man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Choices:
22
30
88
13
Answer: B
Question: A man bought 6 pencils for Rs 5 and sold them at 5 pencils for Rs. 6. Calculate his gain percentage
Choices:
26
44%
43
82
Answer: B
Question: When 30 is subtracted from a number, it reduces to seven-twelve of the number. What is the sum of the digit of the number
Choices:
44
46
48
72
Answer: D
Question: A line of 24 children walk single file down the 54-meter hallway of their school at a speed of 20 meter/min. If each child takes up 1/4 meter of space in line, how long does it take for all of them to traverse the full length of the hallway?
Choices:
2 min
3 min
4 min
5 min
Answer: B
Question: Each of 16 individuals is to be given an identifying code consisting of one or more distinct digits in ascending order. What is the minimum number of distinct digits needed to give each individual a unique code?
Choices:
4
5
6
7
Answer: B
Question: If it was two hours later, it would be half an hour as long until midnight as it will be if it were an hour later. What is the time now?
Choices:
7.00 pm
9.00 pm
8.00 pm
9.30 pm
Answer: B
Question: If a and b are the two values of t that satisfy
the equation t^2 â€“ 8t + 12 = 0, with a > b, what is the value of a â€“ b?
Choices:
4
6
8
10
Answer: A
Question: Statements: Population increase coupled with depleting resources is going to be the scenario of many developing countries in days to come.
Conclusions:
1) The population of developing countries will not continue to increase in future.
2) It will be very difficult for the governments of developing countries to provide its people decent quality of life.
Choices:
Only conclusion II follows
Either I or II follows
Neither I nor II follows
Both I and II follow
Answer: A
Question: A began business with Rs.45000 and was joined afterwards by B with Rs.27000. When did B join if the profits at the end of the year were divided in the ratio of 2:1?
Choices:
6
7
8
2
Answer: D
Question: In a school of 450 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Choices:
75
80
81
90
Answer: C
Question: An bus covers a certain distance at a speed of 230 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
Choices:
690 km/hr
730 km/hr
750 km/hr
760 km/hr
Answer: A
Question: For any non-zero a and b that satisfy |ab| = ab and |a| = -a
|b - 4| + |ab + b| = ?
Choices:
b) 2b - ab - 4
c) ab + 4
d) ab - 2b + 4
e) 4 - ab
Answer: B
Question: The reduction in the speed of an engine is directly proportional to the square of the number of bogies attached to it. The speed of the train is 100 km/hr when there are 4 bogies and 55 km/hr when there are 5 bogies. What is the maximum number of bogies that can be attached to the train so that, even with those many numbers of bogies, it can just move?
Choices:
4
5
6
7
Answer: B
Question: The greatest number of four digits which is divisible by 12, 20, 36 and 60 is:
Choices:
9900
9500
9800
9700
Answer: A
Question: The amount of time that three people worked on a special project was in the ratio of 3 to 5 to 6. If the project took 140 hours, how many more hours did the hardest working person work than the person who worked the least?
Choices:
40 hours
35 hours
30 hours
36 hours
Answer: C
Question: If n is the product of the first 10 prime numbers, which of the following is an integer?
I. n/7
II. n/4
III. n/143
Choices:
I and II only
I and III only
III only
I, II, and III
Answer: B
Question: A Flask contains a mixture of AB in the ratio 5:2. When 20 L of Mixture is replaced with liquid B, ratio becomes 4:1. How many liters of liquid A was present in mixture initially.
Choices:
22
15
30
8
Answer: A
Question: The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first 16 terms of the arithmetic progression?
Choices:
120
150
160
270
Answer: C
Question: A piece of string is 40 centimeters long. It is cut into three pieces. The longest piece is 3 times as long as the middle-sized piece and the shortest piece is 23 centimeters shorter than the longest piece. Find the lengths of the three pieces.
Choices:
5
4
9
8
Answer: B
Question: A sum is divided among W, X and Y in such a way that for each rupee W gets, X gets 30 paisa and Y gets 20 paisa. If the share of W is RS. 10, what is the total amount?
Choices:
13
14
15
16
Answer: C
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
Choices:
120 cm2
876 cm2
267 cm2
268 cm2
Answer: A
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 10 overs to reach the target of 282 runs?
Choices:
5.5
25
15
6
Answer: B
Question: If the number 872,152,24x is divisible by 11, what must be the value of x?
Choices:
2
3
4
5
Answer: B
Question: What is the measure of the radius of the circle inscribed in a triangle whose sides measure 8, 15 and 21 units?
Choices:
2.6 units
3 units
5 units
12 units
Answer: A
Question: The average monthly salary of the employees of a firm is Rs.60 out of the employees 12 officers get an average of Rs.400 per month and the rest an average of Rs. 56 per month , Find the number of emp
Choices:
1028
1022
1029
1032
Answer: D
Question: Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
Choices:
2400
2980
2707
2872
Answer: A
Question: 400 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
Choices:
12
14
16
18
Answer: C
Question: If the sum of two numbers is 45 and the H.C.F and L.C.M of these numbers are 4 and 5 respectively, then the product of the reciprocals is equal to:
Choices:
1/1
2/30
11/20
1/20
Answer: D
Question: Two trains are traveling on a collision course. If train A is traveling at a speed of 350 mph and train B is traveling 28% slower, how much time will it take the trains to collide if the initial distance between the two is 1505 miles?
Choices:
One hour and 10 minutes
Two hours and 25 minutes.
Three hours and 15 minutes
Four hours and 20 minutes
Answer: B
Question: The average of first nine prime numbers:
Choices:
11.1
12.9
6.3
7.4
Answer: A
Question: How many two-element subsets of <1, 2,3,4,5,6,7,8,9> are there that do not contain the pair of elements 2 and 4?
Choices:
22
24
35
36
Answer: C
Question: John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
Choices:
16.66%
18%
19%
21%
Answer: A
Question: One ton has 2600 pounds, and one pound has 16 ounces. How many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons?
Choices:
2080
2350
2500
8000
Answer: A
Question: When the price of a pressure cooker was increased by 15%, the sale of pressure cookers decreased by 15%. What was the net effect on the sales?
Choices:
no effect
2.25% increase
2.25% decrease
None of these
Answer: C
Question: There are 43 stations between Ernakulam and Chennai. How many second class tickets have to be printed, so that a passenger can travel from one station to any other station?
Choices:
1980
1990
1890
1900
Answer: A
Question: What is the average of 1200, 1300, 1400, 1510, 1520, 1530, 1115, 1120, and 1125?
Choices:
1334
1313.33
1350
1325
Answer: B
Question: What no. should be subtracted from x^3+4x^2−7x+12x^3+4x^2−7x+12, if it is to be perfectly divisible by x+3x+3?
Choices:
42
46
54
56
Answer: A
Question: 1, 3, 4, 7, 11, 18, 29, ?
What number should replace the question mark?
Choices:
54
24
35
47
Answer: D
Question: It is required to fix a pipe such that water flowing through it at a speed of 7 metres per minute fills a tank of capacity 110 cubic metres in 10 minutes. The inner radius of the pipe should be :
Choices:
2 m
1⁄2 m
1⁄√2 m
None of these
Answer: C
Question: The cost of a car is 400% greater than the cost of a bike. If there is an increase in the cost of the car is 15% and that of bike 20%. Then the total increase in the cost of the 5 cars and 10 bikes is:
Choices:
16(3/7)%
18.5%
18.25%
None
Answer: A
Question: What is the area of square field whose side of length 17 m?
Choices:
662
772
289
21
Answer: C
Question: Last year John earned m dollars at company X and was promised an n-percent raise for this year. If John is paid the promised amount and a $10,000 bonus at the end of this year, by what percent has his total salary(including his bonus) increased this year over last in terms of n and m?
Choices:
(n + 10000)/m %
(mn + 100,000)/100m %
(mn + 1,000,000)/100m %
(mn + 1,000,000)/m %
Answer: D
Question: Manoj borrowed Rs.3450 from Anwar at 6% p.a. simple interest for three years. He then added some more money to the borrowed sum and lent it to Ramu for the same time at 9% p.a. simple interest. If Manoj gains Rs.824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then what is the sum lent by him to Ramu?
Choices:
5355
5328
5312
5128
Answer: A
Question: In a division sum, the quotient is 120, the divisor 456 and the remainder 333, find the dividend?
Choices:
34545
55053
23434
23456
Answer: B
Question: A cistern which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it?
Choices:
29 hrs
28 hrs
90 hrs
98 hrs
Answer: C
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 50000, then the share of B is?
Choices:
23077
24005
24009
24002
Answer: A
Question: What percent of 14 is 14 percent of 1?
Choices:
0.01
0.1
101
1
Answer: D
Question: A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1628?
Choices:
s.108
s.110
s.103
s.102
Answer: B
Question: In the line xy plane line m has the equation y = 3x - 9, then the line m passes through which of the following points?
Choices:
(3, 4)
(4, 2)
(6, 9)
(6, 15)
Answer: C
Question: 10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days ?
Choices:
5 hours a day
6 hours a day
7 hours a day
8 hours a day
Answer: B
Question: If p is an odd integer, which of the following must also be odd?
Choices:
p + p
3p + 3
2p + p
p^2 + 1
Answer: C
Question: In a LAB experiment, a 100 ml compound of element X and element Y needs to be increased to 240 ml by adding some quantity of element X, and some quantity of element Y. If the original compound contains 30% of element X, how much (in ml) of element Y must be added so that element X will be exactly one third of the resulting mixture ?
Choices:
100/3 ml
20 ml
90 ml
10 ml
Answer: C
Question: The ratio of men to women in the Snyder community choir is 4 to 5. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many men's are in the Snyder choir?
Choices:
20
30
33
34
Answer: A
Question: From the beginning to the end of 2007, the price of a stock rose 20 percent. In 2008, it dropped 25 percent. In 2009, it rose 25 percent. What percent of the stockâ€™s 2007 starting price was the price of the stock at the end of 2009?
Choices:
90
95
100
112.5
Answer: D
Question: Joey is planning to throw a small party and for that he needs to do the following tasks:
I. Decide guest list
II. Send invites
III. Arrange catering
IV. Decide the venue
V. Rent a music system
The tasks can be done in any order as long as the invites are sent after the guest list is decided. In how many ways can Joey do the five tasks listed above?
Choices:
48
60
120
240
Answer: B
Question: Operation # is defined as: a # b = 4a^2 + 4b^2 + 8ab for all non-negative integers. What is the value of (a + b) + 6, when a # b = 100?
Choices:
8
10
11
17
Answer: C
Question: In a two-digit, if it is known that its unit’s digit exceeds its ten’s digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
Choices:
24
42
46
None
Answer: A
Question: If a pipe can fill a tank in 6 hours, find the part of tank it fills in one hour.
Choices:
1/6
1/2
None of these
Cannot be determined
Answer: A
Question: On the xy co-ordinate plane, point C is (5,-2) and point D is (-1,2). The point on line segment CD that is twice as far from C as from D is:
Choices:
(1,1)
(2,0.25)
(3,0.5)
(3,1)
Answer: C
Question: The table below shows the enrollment in various classes at a certain college.
Class | Number of Students
Biology | 80
Physics | 35
Calculus | 40
Although no student is enrolled in all three classes, 15 are enrolled in both Biology and Physics, 10 are enrolled in both Biology and Calculus, and 12 are enrolled in both Physics and Calculus. How many different students are in the three classes?
Choices:
118
90
125
162
Answer: A
Question: If the integer n has exactly five positive divisors, including 1 and n, how many positive divisors does n^2 have?
Choices:
7
9
10
11
Answer: B
Question: A man sitting in a train which is traveling at 56 kmph observes that a goods train, traveling in opposite direction, takes 15 seconds to pass him. If the goods train is 410 m long, find its speed
Choices:
56 kmph
58 kmph
42 kmph
72 kmph
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 7 hours. If at 01:00 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: C
Question: The average marks in mathematics scored by the pupils of a school at the public examination were 39. If four of these pupils who actually scored 25, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of pupils sent up for examination from the school?
Choices:
21
22
23
24
Answer: A
Question: A shop stores x kg of rice. The first customer buys half this amount plus half a kg of rice. The second customer buys half the remaining amount plus half a kg of rice. Then the third customer also buys half the remaining amount plus half a kg of rice. Thereafter, no rice is left in the shop. Which of the following best describes the value of x?
Choices:
5 ≤ x ≤ 8
9 ≤ x ≤ 12
11 ≤ x ≤ 14
13 ≤ x ≤ 18
Answer: A
Question: If a - b = 3 and a(power 2) + b(power 2) = 23, find the value of ab.
Choices:
8
7
10
3
Answer: B
Question: A soft drink company had 6000 small and 10000 big bottles in storage. If 12% of small15% of big bottles have been sold, then the total bottles remaining in storage is
Choices:
13780
15060
14930
16075
Answer: A
Question: 1,2,3,4,5,6,7 are arranged in order of sum of consecutive numbers is prime number,how many ways we can arrange
Choices:
2
3
4
5
Answer: D
Question: The length of a train and that of a platform are equal. If with a speed of 54 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
266
450
750
261
Answer: B
Question: There are 4 boys and 3 girls seated in a row.Find the probability that all girls are together?
Choices:
1/7
2/7
3/7
4/7
Answer: A
Question: Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.54000 after completion of one year. What will be Jose's share of profit?
Choices:
12000
13000
14000
30000
Answer: D
Question: A trailer carries 3, 4 and 5 crates on a trip. Each crate weighs no less than 1250 kg. What is the maximum weight of the crates on a single trip?
Choices:
6250
600
7500
375
Answer: A
Question: 61,52,63,94,46,.......
Choices:
16
17
18
19
Answer: C
Question: John takes 10 hours to complete a certain job, while Bill takes only 5 hours to complete the same job. If Steve is faster than John but slower than Bill at completing the same job, then which of the following could be the time it takes the three men together, working at their constant, individual rates, to complete the job?
Choices:
2 hours, 20 minutes
3 hours, 20 minutes
3 hours, 45 minutes
4 hours, 10 minutes
Answer: A
Question: What is the value of âˆš36% ?
Choices:
20%
30%
60%
40%
Answer: C
Question: A car covers a distance of 200km in 2 hours 40 minutes, whereas a jeep covers the same distance in 2 hours. What is the ratio of t
Choices:
3:4
4:5
5:4
8:7
Answer: A
Question: The average age of a group of persons going for picnic is years. Eighteen new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years. The number of persons initially going for picnic is
Choices:
10
18
32
50
Answer: B
Question: In case L is the only individual sewing on committee B, which among the following shouldserve on committee A?
Choices:
V and T
U and S
M and N
T and U
Answer: C
Question: There are 8 magazines lying on a table; 4 are fashion magazines and the other 4 are sports magazines. If 2 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazines will be selected?
Choices:
2/3
32/35
11/12
13/14
Answer: D
Question: At what rate percent on simple interest will Rs.1750 amount to Rs.2000 in 2 years?
Choices:
7.14 %
2 6/7 %
5 %
6 %
Answer: A
Question: Pencils, Pens and Exercise books in a shop are in the ratio of 10: 2 : 3. If there are 120 pencils, the number of exercise books in the shop is:
Choices:
36
46
56
66
Answer: A
Question: In Town P, 70 percent of the population are employed, and 21 percent of the population are employed males. What percent of the employed people in Town P are females?
Choices:
52%
58%
64%
70%
Answer: D
Question: What is the diffference between the place value and face value of 8 in the numeral 8635?
Choices:
7992
7792
7692
7982
Answer: A
Question: A meeting has to be conducted with 3 managers. Find the number of ways in which the managers be selected from among 6 managers, if 2 managers will not attend the meeting together?
Choices:
20
16
22
24
Answer: B
Question: If the letters of the word CHASM are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word CHASM?
Choices:
32
36
64
48
Answer: A
Question: The bankers discount of a certain sum of money is Rs. 36 and the true discount on the same sum for the same time is Rs. 30. The sum due is:
Choices:
150
160
170
180
Answer: D
Question: Two pipes can fill a tank in 20 and 12 hours, while third pipe will make the tank empty in 20 hours. If all three pipes operate simultaneously. In how many hours the tank will be filled ?
Choices:
7 Hours
8 Hours
9 Hours
12 Hours
Answer: D
Question: The volumes of two cones are in the ratio 1 : 30 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
Choices:
6:5
6:2
2:2
2:8
Answer: A
Question: A construction company wants to number new houses using digit plates only. If the company puts an order for 1512 plates, how many houses are to be given numbers? (The numbers of houses are consecutive and the number of the first house is 1).
Choices:
240
340
440
540
Answer: D
Question: Andrew travelling to 7 cities. Gasoline prices varied from city to city. What is the median gasoline price?
Choices:
$1.84
$1.96
$2
$2.5
Answer: A
Question: How many total numbers of not more than 20 digits that can be formed by using the digits 0, 1, 2, 3, and 4 is
Choices:
5 20
5 20 + 1
6 20
None of these
Answer: A
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective?
Choices:
1/126
1/122
1/124
1/123
Answer: A
Question: In a particular 100 meter race, 9 athletes are participating that are numbered 1-9. In how many ways can athlete #4 finish ahead of #2 provided there's no tie among the athletes?
Choices:
115,990
132,220
152,770
181,440
Answer: D
Question: In an exam, Gibi scored 59 percent, Jigi scored 55 percent , Mike scored 99 percent and Lizzy 67 percent. The maximum score awarded in the exam is 700. Find the average mark scored by all the four students?
Choices:
490
480
453
456
Answer: A
Question: If S is the sum of the reciprocals of the consecutive integers from 61 to 70, inclusive, which of the following is less than S?
I. 1/6
II. 1/7
III. 1/8
IV .1/6>S >1/7
Choices:
II
IV
III
I&II
Answer: B
Question: A rectangular plot 15 m × 10 m, has a path of grass outside it. If the area of grassy pathway is 54 m2, find the width of the path.
Choices:
3 m
2 m
1 m
None of these
Answer: B
Question: Two trains of length 120 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?
Choices:
80/7 sec
57/7 sec
120/7 sec
104/7 sec
Answer: D
Question: If six persons sit around a table, the probability that some specified three of them are always together is
Choices:
3/10
1/5
4/5
3/5
Answer: A
Question: What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?
Choices:
1683
2007
3363
3567
Answer: A
Question: (3x + 2) (2x - 7) = ax^2 + kx + n . What is the value of a - n + k ?
Choices:
3
9
10
11
Answer: A
Question: Pradip spends 40 per cent of his monthly income on food items, and 50 per cent of the remaining on clothes and conveyance. He saves one-third of the remaining amount after spending on food, clothes and conveyance. If he saves 19,200 every year,what is his monthly income?
Choices:
12,000
16,000
20,000
None of these
Answer: B
Question: Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
B)Rs.200
C)Rs.250
D)Rs.280
E)Rs.300
Answer: B
Question: The average of 9 observations was 9, that of the 1st of 4 being 10 and that of the last 4 being 8. What was the 5th observation?
Choices:
5
6
7
8
Answer: C
Question: A student has got marks in five subjects in the ratio 2:3:4:5:6 .The maximum marks of subjects in same sequence are in ratio 6:5:8:4:7.Total percentage of marks scored by him is 48%.FInd the maximum percentage obtained by him in a subject..
Choices:
78
96
90
95
Answer: C
Question: In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
Choices:
1/3
3/7
8/27
9/29
Answer: A
Question: How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 63 kmph?
Choices:
77 sec
25 sec
14.3 sec
17 sec
Answer: C
Question: If (5^15)(9^8)=3(15^x), what is the value of x?
Choices:
9
11
13
15
Answer: D
Question: In a certain large company, the ratio of college graduates with a graduate degree to non-college graduates is 1:8, and ratio of college graduates without a graduate degree to non-college graduates is 2:3. If one picks a random college graduate at this large company, what is the probability E this college graduate has a graduate degree?
Choices:
1/12
1/13
3/19
3/43
Answer: C
Question: Sunil invested $ 1600 fir 3 years and $ 1100 for 4 years at the same rate of Simple Interest. If the total interest from these investments is $ 506, what is the rate of interest?
Choices:
5 1/3%
5 1/2%
6%
3 2/4%
Answer: B
Question: An article costing rs.200 is sold at 25% discount on a mark-up price. What is the selling price after
discount?
Choices:
150
126
136
146
Answer: A
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58 ?
Choices:
Rs. 3288
Rs. 3944
Rs. 3122
Rs. 3911
Answer: B
Question: A train passes a man standing on a platform in 8 seconds and also crosses the platform which is 264 metres long in 20 seconds. The length of the train (in metres) is:
Choices:
176
175
96
None of these
Answer: A
Question: A man bets on no. 16 on a roulette wheel 14 times and losses each time. On the 15th span he does a quick calculation and finds out that the no. 12 had appeared twice in the 14 spans and is therefore, unable to decide whether to bet on 16 or 12 in the 15th span. Which will give him the best chance and what are the odds of winning on the bet that he takes?
Choices:
Either ;35:1
12;7:1
12;72:1
16;22:14
Answer: A
Question: Two cars are traveling towards each other. If car A is traveling at a speed of 50 mph and car B is traveling 12% slower, how much time will it take the cars to meet if the initial distance between the two is 705 miles?
Choices:
Seven hours and 30 minutes.
Eight hours and 20 minutes.
Nine hours and 15 minutes
Ten hours and 20 minutes
Answer: A
Question: The sum of three integers A, B and C is 360. A is one third of the sum of B and C and B is one fifth of the sum of A and C. What is C?
Choices:
212
213
214
210
Answer: D
Question: A basket of 1430 apples is divided equally among a group of apple lovers. If 45 people join the group, each apple lover would receive 9 apples less. How many U apples did each person get before 45 people joined the feast?
Choices:
21.
22.
23.
24.
Answer: B
Question: A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3680. They completed the work in 3 days with the help of C. How much is to be paid to C?
Choices:
s. 600
s. 460
s. 400
s. 480
Answer: B
Question: If 5 toys cost Rs, 234, what do 35 toys cost?
Choices:
1564
1546
1638
None of them
Answer: C
Question: At a supermarket, the ratio of the number of shampoos to the number of soaps is 8 to 5, and the ratio of the number of drinks to the number of shampoos is 3 to 4. If the ratio of the soaps to the number of cereals is 9 to 2, what is the ratio of the number of drinks to the number of cereals?
Choices:
15:6
45:16
15:4
27:5
Answer: D
Question: What is the remainder if 7^16 is divided by 100?
Choices:
4
2
1
5
Answer: C
Question: A train crosses a platform of 140 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
887
167
190
161
Answer: C
Question: The Kiljaro Highway is marked with Milestones denoting the distance to the town of Kiljaro. Tommy left kiljaro and drove the highway, passing the 10 km milestone at 8:30. Some time afterwards, Tommy got a phone call asking him to return home, and he made a U-turn at the 160 km milestone. At 09:A0 Tommy passed the milestone marking 60 km to Kiljaro. The variable A represents the tens digit of the minutes in 09:A0. Assuming Tommy maintained the same constant speed during the entire drive, how many kilometers did Tommy travel in one minute?
Choices:
250/(30+10A)
250/50A
220/(30+10A)
220/40A
Answer: A
Question: 2 + 2^2 + 2^3 + ... + 2^8 = ?
Choices:
510
710
810
910
Answer: A
Question: What will come in place of the x in the following Number series? 5,28,57,88,125
Choices:
180
166
189
191
Answer: B
Question: How many three-digit integers between 310 and 400, exclusive, are divisible by 3 when the ones digit and the tens digit are switched?
Choices:
19
22
80
30
Answer: D
Question: A bus leaves Burbank at 8:00 a.m. traveling east at 60 miles per hour. At 2:00 p.m. a plane leaves Burbank traveling east at 300 miles per hour. At what time will the plane overtake the bus?
Choices:
2:50 p.m.
3:00 p.m.
3:30 p.m.
2:25 p.m.
Answer: C
Question: The value of 5 in the number 357.21 is
Choices:
5 ones
5 tens
5 hundreds
5 twentys
Answer: B
Question: Crew A can build a complete car in 20 minutes and Crew B can build a complete car in 25 minutes. If both crews work independently and start at the same time, what is the shortest amount of time W it could take for 10 cars to be complete?
Choices:
115 2/5 minutes
116 minutes
120 minutes
125 minutes
Answer: C
Question: An accurate clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o’clock in the afternoon?
Choices:
90°
180°
320°
None of these
Answer: B
Question: An old man distributed all the gold coins he had to his two sons into two different numbers such that the difference between the squares of the two numbers is 64 times the difference between the two numbers. How many coins did the old man have?
Choices:
26
30
64
40
Answer: C
Question: In what ratio should a variety of rice costing Rs. 6 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:
5/6
5/0
5/3
5/9
Answer: A
Question: What is the total surface area in square meters of a rectangular solid whose length is 6 meters, width is 5 meters, and depth is 2 meters?
Choices:
104 m2
106 m2
108 m2
160 m2
Answer: A
Question: The probability that a visitor at the mall buys a pack of candy is 30%. If three visitors come to the mall today, what is the probability E that exactly two visitors will buy a pack of candy?
Choices:
0.147
0.189
0.063
0.027
Answer: B
Question: How many necklace of 12 beads each can be made from 18 beads of different colours?
Choices:
18!(6 x 21)
18!(6 x 24)
18!(6 x 22)
18!(6 x 44)
Answer: B
Question: If the sum of a number and its square is 342, What is the number?
Choices:
77
25
87
18
Answer: D
Question: What sum of money will produce Rs.70 as simple interest in 5 years at 3 1/2 percent?
Choices:
500
266
400
211
Answer: C
Question: A certain set of numbers has an average (arithmetic mean) of 50 and a standard deviation of 50.5. If p and n, two numbers in the set, are both within 2 standard deviations from the average, then which of the following could be the sum of p and n?
Choices:
-130
-104
51
305
Answer: C
Question: The cost of one photocopy is $0.02. However, a 25% discount is offered on orders of more than 100 photocopies. If Saran and David have to make 80 copies each, how much will each of them save if they submit a single order of 160 copies?
Choices:
$0.40
$0.45
$0.48
$0.54
Answer: A
Question: In the coordinate plane, the points F (-2,1), G (1,2), and H (2,1) lie on a circle with center P. What are the coordinates of point P ?
Choices:
(0,0)
(1,2)
(1,-2)
(2.5, -2.5)
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 10%?
Choices:
550
772
652
271
Answer: A
Question: A certain musical scale has has 13 notes, each having a different frequency, measured in cycles per second. In the scale, the notes are ordered by increasing frequency, and the highest frequency is twice the lowest. For each of the 12 lower frequencies, the ratio of a frequency to the next higher frequency is a fixed constant. If the lowest frequency is 220 cycles per second, then the frequency of the 7th note in the scale is how many cycles per second?
Choices:
220 * sqrt 2
220 * sqrt (2^12)
220 * the twelfth root of (2^7)
220 * the seventh root of (2^12)
Answer: A
Question: From a bunch of nine keys, three particular keys have to be used to open a combination lock, such that the second key can be used only after the first key and the third key can be used only after the second key. What are the chances of opening the lock in a random selection of three keys?
Choices:
1/350
1/492
1/504
1/600
Answer: C
Question: Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.7 percent of the products that she inspected. If total of 0.75 percent of the products produced last month were rejected, what fraction of the products did Jane inspect?
Choices:
1/2
5/8
5/4
15/16
Answer: C
Question: If it takes 4 movers 40 minutes to unpack their van, how long would 5 movers take?
Choices:
35 minutes
32 minutes
29 minutes
26 minutes
Answer: B
Question: The annual interest rate earned by an investment increased by 5 percent from last year to this year. If the annual interest rate earned by the investment this year was 26.25 percent, what was the annual interest rate last year?
Choices:
25%
23%
22%
21%
Answer: A
Question: no.of zeros in 1*2^2*3^3*....49^49
Choices:
250
260
270
280
Answer: A
Question: The sum of all the integers k such that –20 < k < 24 is
Choices:
-2
-25
-49
-37
Answer: D
Question: 12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 8 days, working 12 hours a day, the number of men required?
Choices:
12 days
9 days
8 days
10 days
Answer: D
Question: A, B and C can do a work in 90, 30 and 15 days respectively. If they work together, in how many days will they complete the work?
Choices:
6
7
8
9
Answer: D
Question: Tough and Tricky questions: Ratios
2/5 of a certain class left on a field trip. 1/3 of the students who stayed behind did not want to go on the field trip (all the others did want to go). When another vehicle was located, 1/2 of the students who did want to go on the field trip but had been left behind were able to join. What fraction of the class ended up going on the field trip?
Choices:
2/3
11/15
23/30
3/5
Answer: D
Question: 2 trains in same direction at 50km/hr,32 km/hr.A man in slower train observes 15 sec elapse before the faster train completely passed by him what is length of faster train?
Choices:
75 meters
85 meters
95 meters
55 meters
Answer: A
Question: There are 6 physics books and 1 chemistry book on shelf P and 5 physics books on shelf Q. One book is moved from shelf P to shelf Q. A student picks up a book from shelf Q. What is the probability that the chemistry book is taken by the student?
Choices:
1/42
1/15
1/12
1/10
Answer: A
Question: What sum of money will produce Rs.90 as simple interest in 4 years at 3 1/2 percent?
Choices:
622.85
632.85
652.85
642.85
Answer: D
Question: If 2x = 3y = 10, then 9xy = ?
Choices:
200
150
40
20
Answer: B
Question: the present average age of a couple and their daughter is 35 years. Fifteen years from now, the age of the mother will be equal to the sum of present ages of the father and the daughter. Find the present age of mother?
Choices:
19 years
11 years
45 years
12 years
Answer: C
Question: What is the area of a square field whose diagonal of length 24 m?
Choices:
289
200
288
178
Answer: C
Question: The speed of a boat in still water is 60kmph and the speed of the current is 30kmph. Find the speed downstream and upstream?
Choices:
40, 30 kmph
90, 60 kmph
40, 60 kmph
90, 30 kmph
Answer: D
Question: Mary and Mike enter into a partnership by investing $800 and $200 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. If Mary received $1200 more than Mike did, what was the profit made by their business in that year?
Choices:
$3000
$4000
$4200
$4500
Answer: A
Question: 8+2+2^2+2^3+2^4+2^5=？
Choices:
(2^3-1)(2^3+2)
2^5-1
2^5+1
2^5-2
Answer: A
Question: Anand and Deepak started a business investing Rs. 25,000 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is?
Choices:
2888
8050
2882
2781
Answer: B
Question: In how many ways can the letters of the word RECPECT be arranged?
Choices:
1920
2520
3453
3500
Answer: B
Question: Rahul went to a shop and bought things worth Rs. 25, 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:
19.7
19.9
21.7
22.8
Answer: A
Question: When positive integer w is multiplied by positive integer n, the units digit of the product is 3. Which of the following are factors of n?
I. 8
II. 15
III. 30
Choices:
II only
I and II only
II and III only
None of the above
Answer: D
Question: On a certain date, Pat invested $6,000 at x percent annual interest, compounded annually. If the total value of the investment plus interest at the end of 10 years will be $24,000, in how many years total will the total value of the investment plus interest increase to $48,000?
Choices:
15
18
20
24
Answer: A
Question: What are the last two digits of 43*25*23*72*51*31?
Choices:
75
00
45
32
Answer: B
Question: A can complete a project in 20 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?
Choices:
18 days
26.67 days
16 days
12 days
Answer: A
Question: A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
Choices:
76 liters
10 liters
11 liters
12 liters
Answer: B
Question: A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :
Choices:
10 days
12 days
15 days
18 days
Answer: B
Question: Three grades of milk are 1 percent, 2 percent and 4 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 4 percent grade are mixed to give x+y+z gallons of a 1.5 percent grade, what is x in terms of y and z?
Choices:
y + 5z
2y + 3z
3y + z
3y + 4.5z
Answer: A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?
Choices:
18
36
72
16
Answer: B
Question: One half of a two digit number exceeds its one third by 6. What is the sum of the digits of the number?
Choices:
5
7
9
11
Answer: C
Question: If 2 = (6x)/(x - xy/z) then which of the following is true?
Choices:
y = 2z
2y = z
-2y = z
y = -z
Answer: A
Question: A bag contains 50 black balls and 10 white balls. One ball is drawn at random. What is the probability that the
ball is white?
Choices:
1/6
1/3
1/2
None of these
Answer: A
Question: In a survey, 56 percent of the people surveyed stated truthfully that they were married, while 30 percent of the people surveyed who were married at that time chose not to include that information in the survey. What percent of the people surveyed were actually married at the time of the survey?
Choices:
60%
40%
75%
80%
Answer: D
Question: Which answer is closest to the √151?
Choices:
12.2
12.3
12.4
12.5
Answer: B
Question: At a raffle, 20% of the attendees bought more than five tickets, 65% of the remaining bought four tickets or less. What percentage of the attendees bought five tickets?
Choices:
28% of the attendees bought five tickets.
20% of the attendees bought five tickets.
72% of the attendees bought five tickets.
None of these.
Answer: A
Question: Thomas and Matt has some money with them in the ratio of 3:4. If their father gives Rs.30 to each of them then the ratio becomes 4:5. What would be the ratio if Thomas spend Rs.40 and Matt spend Rs. 20 from what they have now?
Choices:
1:2
3:4
4:5
5:6
Answer: A
Question: If 20! × 20!/20^n is an integer, what is the largest possible value of n?
Choices:
16
8
4
1
Answer: B
Question: If a, b, and c are consecutive even positive integers, which of the following could be equal to a + b + c ?
Choices:
200
624
391
412
Answer: B
Question: If each edge of a cube is increased by 50%, find the percentage increase in Its surface area
Choices:
125%
185%
725%
145%
Answer: A
Question: Find the least number which when divided by 5,6,7, and 8 leaves a remainder 3, but when divided by 9 leaves no remainder
Choices:
1683
1685
1582
1584
Answer: A
Question: A can do a piece of work in 7 days of 9 hours each and B can do it in 6 days of 7 hours each. How long will they take to do it, working together 8 hours a day?
Choices:
3 days
7 days
2 days
9 days
Answer: A
Question: If the perimeter of a rectangular garden is 800 m, its length when its breadth is 100 m is?
Choices:
300 m
200 m
276 m
971 m
Answer: A
Question: If a child walks at the rate of 5m/min from his home, he is 6 minutes late for school, if he walks at the rate of 7m/min he reaches half an hour earlier. How far is his school from his home ?
Choices:
540 min
630 min
360 min
none of these
Answer: B
Question: Which of the following must be subtracted from 2^24 so that the resulting integer will be a multiple of 3?
Choices:
3
1
4
5
Answer: B
Question: In a class of 300 students, 150 study Spanish and 100 study French. If a student must study at least one of these two languages, what percent of the students study French but NOT Spanish?
Choices:
50%
30%
20%
10%
Answer: A
Question: Martin bought 5 packet milk at an average price (arithmetic mean) of 20¢. If Martin returned two packet to the retailer, and the average price of the remaining millk packet was 12¢, then what is the average price, in cents, of the two returned milk packets?
Choices:
31
32
33
34
Answer: B
Question: If log8p = 2.5, log2q = 5, then p in terms of q is?
Choices:
3√q
q
q/2
None of these
Answer: A
Question: A straight line in the xy-plane has a slope of 2 and a y-intercept of 2. On this line, what is the x-coordinate of the point whose y-coordinate is 520 ?
Choices:
259
676
823
1,002
Answer: A