antoine-444/aqua_rat_dataset huggingface dataset:
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
66 sec
48 sec
55 sec
45 sec
Answer: B
Question: Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $300, what were her original savings?
Choices:
$1200
$1400
$1800
$1900
Answer: A
Question: If the number is divided by 3, it reduced by 48. The number is
Choices:
B)50
C)45
D)72
E)36
Answer: C
Question: If a: b = 12: 6, b: c = 9: 7, find a: b: c?
Choices:
138: 73: 46
128: 43: 36
108: 63: 56
148: 83: 76
Answer: C
Question: The average salary per head of the entire staff of an office including the officers and clerks is Rs.90. The average salary of officers is Rs.500 and that of the clerks is Rs.84. If the number of officers is 2, find the number of officers in the office?
Choices:
720
820
920
1020
Answer: B
Question: How many different subsets of the set {0, 1, 2, 3} do not contain 0?
Choices:
B.7
C.8
D.2
E.4
Answer: B
Question: If two numbers are in the ratio 3:4. If 10 is added to both of the numbers then the ratio becomes 4:5 then find the smallest number?
Choices:
20
30
40
50
Answer: B
Question: Triathlete Dan runs along a 4-mile stretch of river and then swims back along the same route. If Dan runs at a rate of 10 miles per hour and swims at a rate of 6 miles per hour, what is his average rate for the entire trip in miles per minute?
Choices:
1/8
3/15
1/4
3/8
Answer: A
Question: The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 40 kg. What is the weight of the new person?
Choices:
65
85
95
60
Answer: D
Question: A rectangular box has two sides whose
lengths are 3 centimeters and 9 centimeters
and a volume of 135 cm3. What is the area
of its largest side?
Choices:
36 cm2*square
39 cm2*square
45 centimeter square
48 cm2*square
Answer: C
Question: If both 5^2 and 3^3 are factors of n x (2^5) x (12^2) x (7^3), what is the smallest possible positive value of n?
Choices:
75
125
150
175
Answer: A
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 39 min, then the slower pipe alone will be able to fill the tank in?
Choices:
156
144
128
121
Answer: A
Question: A boy is travelling from his home to school at 5 km/hr and reached 7 min late. Next day he traveled at 10 km/hr and reached 8 min early. Distance between home and school?
Choices:
2.5km
4.5km
5.5km
6.5km
Answer: A
Question: Two spherical balls lie on the ground touching. If one of the balls has a radius of 8 cm, and the point of contact is 12 cm above the ground, what is the radius of the other ball (in centimeters)?
Choices:
24
28
32
36
Answer: A
Question: Simplify
70âˆ’[5âˆ’(6+2(7âˆ’8âˆ’5Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯))]
Choices:
25
28
79
32
Answer: C
Question: Each month, after Jill pays for rent, utilities, food, and other necessary expenses, she has one fifth of her net monthly salary left as discretionary income. Of this discretionary income, she puts 30% into a vacation fund, 20% into savings, and spends 35% on eating out and socializing. This leaves her with $102 dollar, which she typically uses for gifts and charitable causes. What is Jill’s net monthly salary?
Choices:
$3400
$6000
$6400
$9600
Answer: A
Question: Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
Choices:
2 : 3
3 : 4
4 : 5
5 : 6
Answer: A
Question: If y is 90% greater than x, than x is what % less than y?
Choices:
39.8%
43.2%
47.4%
51.2%
Answer: C
Question: Find out the wrong term.
2, 5, 10, 50, 500, 5000
Choices:
10
50
5000
500
Answer: C
Question: What is the average of 1/2, 2/5 and 1/10?
Choices:
3/10
2/5
1/2
4/15
Answer: D
Question: John invests $x at the semi-annual constant compounded rate of 2 percent and also does $20,000 at the quarterly constant compounded rate of 4 percent. If the interests are the same after 1 year, what is the value of x??
Choices:
40,402
40000
50000
50005
Answer: A
Question: 10^23-7 is divided by 6, remainder is?
Choices:
3
5
6
7
Answer: A
Question: Arjun started a business with Rs. 20,000 and is joined afterwards by Anoop with Rs.30, 000. After how many months did Anoop join if the profits at the end of the year are divided equally?
Choices:
4
5
6
7
Answer: A
Question: John's Bank's saving amount is decreased 12% due to loan payment and current balance is Rs.44000. Find the actual balance before deduction?
Choices:
50000
9000
9500
10000
Answer: A
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
36
38
40
Answer: A
Question: 3A = 4B = 5C, A : B : C = ?
Choices:
20:15:12
15:20:12
12:20:15
None of these
Answer: A
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Choices:
1243
1509
3456
5184
Answer: D
Question: In a certain fish pond, 1 out of every 120 bass are caught. If 3 out of every 4 caught bass are fried for dinner, and there are 9 fried bass for dinner, how many bass total are there in the pond?
Choices:
700
500
1,222
1,440
Answer: D
Question: Reena took a loan of $. 1200 with simple interest for as many years as the rate of interest. If she paid $ 300 as interest at the end of the loan period, what was the rate of interest?
Choices:
5
18
Cannot be determined
None of these
Answer: A
Question: The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Choices:
3
1
7
4
Answer: D
Question: The angle between the minute hand and the hour hand of a clock when the time is 8.30, is
Choices:
65°
45°
75°
95°
Answer: C
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?
Choices:
278
600
288
121
Answer: B
Question: R is the set of positive even integers less than 20, and S is the set of the squares of the integers in R. How many elements does the intersection of R and S contain ?
Choices:
Two
three
Five
Seven
Answer: B
Question: Let q represent the integer length of a side of a triangle. If r represents the number of distinct values for q such that we can create a triangle with lengths q, 10, and 12, what is the value of r?
Choices:
18
19
20
21
Answer: B
Question: The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?
Choices:
12/35
35/8
7/32
None of these
Answer: A
Question: The greatest number by which the product of three consecutive multiples of 7 is always
Choices:
81
162
243
None of these
Answer: D
Question: If a number is formed by writing integers 1 to 150 one after another, like 12345...150. How many digits does this integer consists of?
Choices:
339
342
359
362
Answer: B
Question: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Choices:
20 years
30 years
15 years
10 years
Answer: B
Question: A piece of work can be done by Ram and shyam in 12 days, By shyam Nad hari in 15 days and by hari and ram in 20 days. Ram alone can complete the work in how much days ?
Choices:
. 30
. 25
. 32
. 28
Answer: A
Question: John has 4 friends who want to ride in his new car that can accommodate only 3 people at a time (John plus 2 passengers). How many different combinations of 2 passengers can be formed from John's 4 friends?
Choices:
6
10
15
18
Answer: A
Question: As x increases from 165 to 168, which of the following must increase?
I. 2x - 5
II. 1 - 1/x
III. 1/(x^2 - x)
Choices:
III only
I and II
I and III
II and III
Answer: B
Question: The charge for a single room at Hotel P is 50 percent less than the charge for a single room at Hotel R and 10 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G?
Choices:
50%
60%
80%
90%
Answer: C
Question: What is the minimum number of years upon which SI on Rs 2600 at 6.67% interest rate will be in whole number?
Choices:
6
3
4
5
Answer: B
Question: Three partners A, B, C in a business invested money such that 5(A’s capital) = 7(B’s capital) = 9(C’s capital) then, The ratio of their capitals is
Choices:
63 : 54 : 34
36 : 54 : 28
63 : 45 : 35
None of these
Answer: C
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
167 m
987 m
150 m
168 m
Answer: C
Question: a man owns 2/3 of market reserch beauro buzness,and sells 3/4 of his shares for 75000rs,what is the value of buzness?
Choices:
150000
170000
190000
250000
Answer: A
Question: A train is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the train?
Choices:
metres
metres
metres
metres
Answer: B
Question: If 15% of A is the same as 30% of B, then A : B is :
Choices:
4:3
6:7
3:5
2:1
Answer: D
Question: In the accounting branch of a commercial institute, the percentage of male and female workers is 48% and 52% respectively. In this branch, 40% of males and 20% of females are age 25 or older. If one of the workers is selected at random, what is the probability R that the worker is under 25 years old?
Choices:
0.25
0.45
0.70
0.90
Answer: C
Question: If 76 is divided into four parts proportional to 7, 5, 3, 4 then the smallest part is
Choices:
12
16
19
20
Answer: A
Question: The H.C.F of two numbers is 36 and their L.C.M is 1600. If one of the numbers is 160, find the other?
Choices:
350
360
330
320
Answer: B
Question: The function f(W) represents the number of ways that prime numbers can be uniquely summed to form a certain number W such that W = a + b + c + d… where those summed variables are each prime and a ≤ b ≤ c ≤ d ... For instance f(8) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5. What is f(12)?
Choices:
5
6
7
8
Answer: C
Question: Which of the following is closest to 1/3+1/33+1/333
Choices:
1/3
1/4
1/6
1/5
Answer: A
Question: When you draw 2 dices together, find the probability of getting a total of 6?
Choices:
2/31
5/36
7/41
7/43
Answer: B
Question: Find the area of a parallelogram with base 34 cm and height 18 cm?
Choices:
384 cm2
510 cm2
612 cm2
680 cm2
Answer: C
Question: The sum of three consecutive multiples of 3 is 90. What is the largest number?
Choices:
33
36
39
42
Answer: A
Question: An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases?
Choices:
8:7
8:1
8:2
8:6
Answer: A
Question: After taking N tests, each containing 100 questions, John had an average of 70% of correct answers. How much does John need to score on the next test to make his average equal 74%?
M13-03.
Choices:
N+72
2N+76
2N+70
2N−35
Answer: B
Question: What is the units' digit of the following expression (13)^5*(15)^4*(17)^5?
Choices:
1
3
5
9
Answer: C
Question: By selling an article for $180, a person gains $30. What is the gain %?
Choices:
30%
50%
20%
10%
Answer: C
Question: All of the stocks on the over-the-counter market are designated by either a 6-letter or a 7-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
Choices:
26(26^4)
27(26^4)
26(26^5)
27(26^6)
Answer: D
Question: What will come in place of the x in the following Number series? 6, 12, 21, x , 48
Choices:
33
49
53
61
Answer: A
Question: The total price of a basic computer and printer are $2,500. If the same printer had been purchased with an enhanced computer whose price was $500 more than the price of the basic computer, then the price of the printer would have been 2/5 of that total. What was the price of the basic computer?
Choices:
1300
1750
1900
2000
Answer: A
Question: A sells a Cricket Bat to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays $234 for it, the cost price of the Cricket Bat for A is:
Choices:
156
130
160
210
Answer: A
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
78 Kmph
72 Kmph
18 Kmph
19 Kmph
Answer: B
Question: Select the one which is different from other Four alternatives.
Choices:
BOARD
DOOR
SET
WINDOW
Answer: C
Question: Which one of the following numbers is the greatest positive integer x such that 3^x is a factor of 729^5?
Choices:
8
10
15
30
Answer: D
Question: Solve below question 2x + 1 = -11
Choices:
-6
9
8
-7
Answer: A
Question: A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?
Choices:
1/256
81/256
175/256
2
Answer: C
Question: John's Bank's saving amount is decreased 50% due to loan payment and current balance is Rs.50000. Find the actual balance before deduction?
Choices:
100000
9000
9500
10000
Answer: A
Question: 16 balls are numbered 1 to 16. A ball is drawn and then another ball is drawn without replacement. What is the probability that both balls have even numbers?
Choices:
5/17
6/25
7/30
8/37
Answer: C
Question: The wages earned by Robin is 35% more than that earned by Erica. The wages earned by Charles is 60% more than that earned by Erica. How much % is the wages earned by Charles more than that earned by Robin?
Choices:
25.92%
30%
50%
100%
Answer: A
Question: A four-character password consists of one letter of the alphabet and three different digits between 0 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?
Choices:
18,720
26,000
37,440
52,000
Answer: C
Question: A can do a work in 20days, B in 30days. A alone start the work after 10days he left work. In how many days B can finish the work?
Choices:
25days
20days
10days
15days
Answer: D
Question: If a is a positive integer, and if the units digit of a^2 is 9 and the units digit of (a+1)^2 is 4, what is the units U digit of (a+2)^2?
Choices:
1
5
6
C. 14
Answer: A
Question: How many of the positive divisors G of 120 are also multiples of 4 not including 120?
Choices:
4.
5.
7.
8.
Answer: C
Question: Look at this series: 439,404, 369, 334, 299, 264 ... What number should come next?
Choices:
208
206
229
204
Answer: C
Question: The side of a square is increased by 25% then how much % does its area increases?
Choices:
56.25 %
53.85 %
57.25 %
56.21 %
Answer: A
Question: A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
Choices:
Rs. 11,900
Rs. 13,600
Rs. 14,700
Rs. 14,900
Answer: C
Question: A number x is multiplied with itself and then added to the product of 4 and x. If the result of these two operations is -3, what is the value of x?
Choices:
-1 and -3
2
4
Cannot be determined.
Answer: A
Question: When y is divided by 276, the remainder is 44. What is the remainder when the same y is divided by 23?
Choices:
20
21
22
23
Answer: B
Question: If the average of 5 positive integers is 45 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers?
Choices:
53
49
48
44
Answer: A
Question: From a total of 5 boys and 6 girls, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?
Choices:
24
60
120
150
Answer: D
Question: Mary can divide his herd into 5 equal parts and also to 6 equal parts, but not to 9 equal parts. What could be the number of cows Mary has in his herd?
Choices:
120
456
180
336
Answer: A
Question: An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the ?
Choices:
8:7
8:1
8:2
8:4
Answer: A
Question: If 3 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?
Choices:
40:15:18
40:15:12
40:15:14
40:15:11
Answer: B
Question: 3889 + 12.543 - ? = 3854.002
Choices:
B)47.752
C)47.932
D)47.541
of the above
Answer: C
Question: Yesterday's closing prices of 2,200 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher price today than yesterday?
Choices:
726
1,200
1,320
1,694
Answer: B
Question: In a group of people, if 30 people were made to stand in each column, 16 columns could be formed. If 60 people were made to stand in a column, how many columns could be formed?
Choices:
8
10
12
14
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Choices:
167 m
178 m
198 m
150 m
Answer: D
Question: Each Machine of type A has 3 steel parts and 2 chrome parts. Each machine of type B has 2 steel parts and 4 chrome parts. If a certain group of type A and type B machines has a total of 50 steel parts and 66 chrome parts, how many machines are in the group
Choices:
21
31
61
51
Answer: A
Question: A committee of 2 persons is to be formed from 3 company secretaries, 4 economists and 1 chartered accountant. What is the probability that each of the three professions is represented in the committee?
Choices:
3/28
1/14
4/28
1/14
Answer: D
Question: There are, in a certain league, 10 teams, and each team face another team for a total of 10 times. How many games are played in the season?
Choices:
1000
720
180
400
Answer: A
Question: The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 60% profit?
Choices:
230
1024
780
400
Answer: B
Question: The fourth proportional to 12, 14 and 18 is?
Choices:
twenty one
77
88
12
Answer: A
Question: Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of dough (with no chocolate) and 10 ounces of chocolate. How much chocolate is left over if he uses all the dough but only wants the cookies to consist of 20% chocolate?
Choices:
4
6
3
1
Answer: D
Question: Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Choices:
s.400
s.375
s.500
s.900
Answer: B
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
77 hrs
99 hrs
65 hrs
Answer: A
Question: In a recent election, Ms. Robinson received 8000 voters cast by independent voters, that is, voters not registered with a specific political party. She also received 25 percent of the votes cast by those voters registered with a political party. IF N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Mrs. Robbins received?
Choices:
0.1N+7200
0.4N+7200
0.15N+8000
0.06N+8000
Answer: C
Question: The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places
Choices:
35
56
67
23.57
Answer: D
Question: Two trains of length 250 m and 120 m are 50 m apart. They start moving towards each other on parallel tracks, at speeds 64 kmph and 42 kmph. After how much time will the trains meet?
Choices:
17/10
16/10
18/10
16/10
Answer: A
Question: The vertices of a rectangle in the standard (x,y) coordinate place are (0,0), (0,3), (6,0) and (6,3). If a line through (2,2) partitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line?
Choices:
1/2
4/7
1
7/4
Answer: A
Question: The sum of ages of 5 children born at the intervals of 8 years each is 90 years. What is the age of the youngest child?
Choices:
2
6
4
0
Answer: A
Question: Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/6 of the spending limit on that card. If Sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?
Choices:
2/3
17/30
19/30
11/15
Answer: A
Question: The average age of a family of 6 members is 28 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?
Choices:
18
21
12
19
Answer: B
Question: There are some passengers riding on a bus. At the first stop, half the passengers get off and nobody gets on the bus. This pattern continues as the bus goes to the next stops. If only one passenger gets off at stop number 7, how many passengers were on the bus originally?
Choices:
128
32
16
8
Answer: A
Question: If √2n = 64, then the value of n is :
Choices:
12
24
48
NOne
Answer: A
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
Choices:
17 m
26 m
27 m
15 m
Answer: A
Question: A rectangular box measures internally 1.6 m long, I m broad and 60 cm deep.The number of cubical blocks each of edge 20 cm that can be packed inside the box is
Choices:
53
60
120
None
Answer: C
Question: Louie takes out a three-month loan of $1000. The lender charges him 30% interest per month compounded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louie have to pay each month?
Choices:
B)663
C)402
D)433
E)483
Answer: A
Question: On a certain transatlantic crossing, 20 percent of a ship’s passengers held round-trip tickets and also took their cars abroad the ship. If 20 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship’s passengers held round-trip tickets?
Choices:
25%
30%
35%
40%
Answer: A
Question: If a committee of 4 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?
Choices:
40
50
80
120
Answer: A
Question: a is the hundreds digit of the three digit integer x, b is the tens digit of x, and c is the units digit of x. 2a = b = 4c, and a > 0.
What is the difference between the two greatest possible values of x?
Tip: Dont stop till you have exhausted all answer choices to arrive at the correct one.
Choices:
241
394
421
842
Answer: A
Question: Six cards numbered from 1 to 6 are placed in a cardboard box . First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 10, what is the probability that one of the two cards drawn is numbered 5 ?
Choices:
1/4
1/5
1/6
1/3
Answer: D
Question: There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is played by 2 teams, what is the total number of games played?
Choices:
16
28
56
64
Answer: B
Question: The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Choices:
4%
5%
3%
2%
Answer: A
Question: Average of 7 numbers is zero. At most how many numbers may be greater than zero
Choices:
1
6
9
10
Answer: B
Question: A line that passes through (–1, –4) and (5, k) has a slope = k. What is the value of k?
Choices:
1
4/5
2
7/2
Answer: B
Question: n a 1000m race, if A gives B a start of 40m, A wing by 19sec. But if A gives B start of 30sec, B wins by 40m.
Find the time taken by B to run 3000m race?
Choices:
350
375
400
425
Answer: B
Question: Tom wants to buy items costing $25.35, $70.69, and $85.96. He earns $6.50 an hour doing
odd jobs. If ten percent of his income is put aside for other purposes, how many hours must he
work to earn the money he needs for his purchases? Round your answer to the nearest whole
hour.
Choices:
48 hours
31 hours
18 hours
28 hours
Answer: B
Question: A and B invested Rs.15000 and Rs.20,000 respectively in a business. How should a loss of Rs.2800 be divided between them at the end of year? (in rupees)
Choices:
1200,1600
1300,1500
1600,1200
1700,1200
Answer: A
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
Choices:
3/2
3/9
3/6
3/1
Answer: A
Question: If 70% of a number exceeds 28% of it by 39.9, then find the number?
Choices:
67
100
95
33
Answer: C
Question: Find the ratio in which rice at Rs. 7.30 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg
Choices:
2:3
3:5
2:2
2:8
Answer: B
Question: If S + A < S - A < A - S, which of the following is correct?
Choices:
S < A < 0.
S < 0 < A.
0 < B < A.
B > A > 0.
Answer: A
Question: A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Dollar 5400 interest only for the period. The principal amount borrowed by him was:
Choices:
Dollar 10,000
Dollar 15,000
Dollar 20,000
None of these
Answer: B
Question: In a certain province in India there are 15 cities. If a single road segment connects only two cities, how many road segments are required in order to connect the cities so that each city is connected to all other cities with a single road segment?
Choices:
105
330
14!
15!
Answer: A
Question: There are 6 orators A, B, C, D, E, F. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.
Choices:
6! / 3!
5! x 3!
8! / (5! x 3!)
8! / (5! x 4!)
Answer: A
Question: Which of the following is non-negative?
Choices:
(a+1)(a-1)
(a+0.7)(a+1)
(a-0.7)(a-0.7)
a(a+1)
Answer: C
Question: In a group of 3 boys and 2 girls can be formed out of a total of 4 boys and4 girls?
Choices:
22
24
26
29
Answer: B
Question: What will come in place of the x in the following Number series? 5,28,57,88,125
Choices:
324
166
175
178
Answer: B
Question: A sun is divided among X, Y and Z in such a way that for each 2 rupees X gets, Y gets 1 rupee 50 paisa and Z gets 1 rupee 20 paisa. If the share of X is RS. 125, what is the total amount?
Choices:
193.75
293.75
290.75
313.75
Answer: B
Question: The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday?
Choices:
268
127
150
187
Answer: C
Question: A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted?
Choices:
488
299
266
261
Answer: A
Question: A group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 7 with 2 students left over. What is the sum of the two smallest possible values of n?
Choices:
46.
50.
54.
58.
Answer: A
Question: If −y ≥ x, and −x < −4, then which of the following must be true?
Choices:
y > −4
−y > 4
y ≤ −4
y ≥ −4
Answer: B
Question: The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ?
Choices:
4.6
4.2
4.1
4.9
Answer: A
Question: what is the least number. which should be added to 0.0355 to make it a perfect square?
Choices:
0.0016
0.0056
0.0066
0.0006
Answer: D
Question: A man can row 7 ½ kmph in still water.if in a river running at 1.5 km/hr an hour,it takes him 50 minutes to row to a place and back,how far off is the place?
Choices:
2km
5km
3km
1km
Answer: C
Question: Which of the following is a prime number ?
Choices:
81
93
97
99
Answer: C
Question: A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?
Choices:
16 days
11 days
24 days
35 days
Answer: C
Question: If n is an integer, f(n) = f(n-1) - n and f(4)=15. What is the value of f(6)?
Choices:
4
1
2
24
Answer: A
Question: There are 21 students in a class. In how many different ways can a committee of 3 students be formed?
Choices:
1330
1540
1760
1920
Answer: A
Question: Tough and Tricky questions: Exponents.
If 7^(3x-1)*3^(4y-3) = 49^x*27^y, then x + y =
Choices:
4
2
1
5
Answer: A
Question: An error 3% in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square?
Choices:
9.09%
4%
3%
2%
Answer: A
Question: The CI on Rs 30000 at 7% per annum for a certain period is 4347.The period is ?
Choices:
2
1
6
5
Answer: A
Question: The temperature of a certain cup of coffee 6 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula F = 120*2^(-at) + 60, where F is in degrees Fahrenheit and a is a constant. Then the temperature of the coffee 30 minutes after it was poured was how many degrees Fahrenheit?
Choices:
63.75
80
85
90
Answer: A
Question: A committee of 5 people is to be selected from 7 people. How many different committees are possible?
Choices:
21
56
D.168
336
Answer: A
Question: The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of the budget it represents, how many degrees of the circle should be used to represent an item that is 30 percent of the budget?
Choices:
36 °
54 °
90 °
108 °
Answer: D
Question: Difference of two numbers is 1860. If 7.5% of the number is 12.5% of the other number , find the number ?
Choices:
3660, 2000
3000, 4160
2790, 4650
4660, 3000
Answer: C
Question: What is the greatest positive integer n such that 3^n is a factor of 36^450?
Choices:
200
300
600
900
Answer: D
Question: A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B's money was used ?
Choices:
17 months
10 months
19 months
12 months
Answer: B
Question: If x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value S of z - x?
Choices:
7
8
9
10
Answer: C
Question: A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
Choices:
Rs.3600
Rs.3800
Rs.4200
Rs.5200
Answer: C
Question: What is the place value of 7 in the numeral 2734?
Choices:
500
700
800
840
Answer: B
Question: A bowl was half full of water. 4 cups of water were then added to the bowl, filling the bowl to 70% of its capacity. How many cups of water are now in the bowl?
Choices:
14 cups
16
17
18
Answer: A
Question: Last month, John rejected 0.5% of the products that he inspected and Jane rejected 1.00 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: What is the greatest value of n such that 17^n is a factor of 17! ?
Choices:
2
3
4
5
Answer: A
Question: What is the area of square field whose side of length 20 m?
Choices:
186 sq m
586 sq m
287 sq m
400 sq m
Answer: D
Question: In the biology lab of "Jefferson" High School there are 2.16*10^6 germs, equally divided among 10,800 Petri dishes. How many germs live happily in a single dish?
Choices:
200
500
1000
5000
Answer: A
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
Choices:
3/2
3/5
3/9
3/1
Answer: A
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Choices:
6 km
5.76 km
5.66 km
10 km
Answer: B
Question: If r = 199,999 and s = 991,999, which of the following is the units digit of r^2 + s^3?
Choices:
0
3
9
7
Answer: A
Question: A profit of Rs. 900 is divided between X and Y in the ratio of 1/2:1/3 . What is the difference between their profit shares ?
Choices:
s. 180
s. 380
s. 50
s. 90
Answer: A
Question: A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
Choices:
150 m
187 m
177 m
186 m
Answer: A
Question: What will come in place of the x in the following Number series? 6, 12, 21, x , 48
Choices:
33
45
50
52
Answer: A
Question: An investor bought two shares of stock, which he sold for $48 each. If he had a profit of 20% on one of the shares and a loss of 20% on the other share, then on the sale of both shares combined, the investor had:
Choices:
a profit of $4
a loss of $4
a loss of $10
neither a profit nor a loss
Answer: B
Question: How many times are the hands of a clock at right angle in a day?
Choices:
24
44
46
48
Answer: B
Question: What is the remainder when (63)(65) is divided by 8?
Choices:
2
4
5
7
Answer: D
Question: Tara bought 19 cartons of ice cream and 4 cartons of yoghurt. Each carton of ice cream cost $7 and each carton of yoghurt cost $1. How much more did Tara spend on ice cream than on yoghurt?
Choices:
$130
$80
$110
$129
Answer: D
Question: If k and w are the dimensions of a rectangle that has area 21, and if k and w are integers such that k > w, what is the total number of possible values of k?
Choices:
Two
Four
Five
Six
Answer: A
Question: Find the invalid no.from the following series 2,3,12,37,86,166,288
Choices:
3
166
37
86
Answer: B
Question: An empty fuel tank with a capacity of 200 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 20 gallons of ethanol, how many gallons of fuel A were added?
Choices:
300
100
80
50
Answer: A
Question: When 2/9 of the votes on a certain resolution have been counted, 3/4 of those counted are in favor of the resolution. What fraction e of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?
Choices:
11/14
4/7
3/7
3/14
Answer: A
Question: Of 60 children, 30 are happy, 10 are sad, and 20 are neither happy nor sad. There are 18 boys and 42 girls. If there are 6 happy boys and 4 sad girls, how many boys are neither happy nor sad?
Choices:
4
6
8
10
Answer: B
Question: A man can row 4.5 km/hr in still water and he finds that it takes him twice as long to row up as to row down the river. Find the rate of the stream.
Choices:
2.5
1.5
1
3
Answer: B
Question: Which of the following is closest to (7!-6!)/(7!+6!)?
Choices:
0.75
0.92
0.86
1
Answer: A
Question: Sum of 3 consecutive even no.'s is 26 more than the 1st no. of the series. Find the middle no.?
Choices:
12
14
17
18
Answer: A
Question: One year ago the ratio between Laxman's and Gopal's salary was 3:4. The ratio's of their individual salaries between last year's and this year's salaries are 4:5 and 2:3 respectively. At present the total of their salary is Rs.4290. The salary of Laxman now is :
Choices:
Rs.1650
Rs.2560
Rs.3120
None
Answer: A
Question: The distance between 2 cities A and B is 1000km. A train starts from A at 9 a.m. and travels towards B at 100 km/hr. Another starts from B at 10 a.m. and travels towards A at 150 km/hr. At what time do they meet?
Choices:
12p.m.
3pm.
2p.m.
1p.m.
Answer: C
Question: To mail a package, the rate is 10 cents for the first pound and 5 cents for each additional pound. Two packages weighing 3 pounds and 5 pounds, respectively can be mailed seperately or combined as one package. Which method is cheaper and how much money is saved?
Choices:
Combined, with a saving of 5 cents
Combined, with a saving of 15 cents
Separately, with a saving of 5 cents
Separately, with a saving of 10 cents
Answer: A
Question: From the given equation find the value of z: zÂ² + 5z + 6
Choices:
1
-1
-3
3
Answer: C
Question: A Bell Curve (Normal Distribution) has a mean of − 1 and a standard deviation of 1/8 . How many integer values Z are within three standard deviations of the mean?
Choices:
1
3
6
7
Answer: A
Question: In 10 years, A will be twice as old5as B was 10 years ago. If A is now 9 years older than B, the present age of B is
Choices:
37
39
41
42
Answer: B
Question: In Smithtown, the ratio of right-handed people to left-handed people is 3 to 1 and the ratio of men to women is 3 to 2. If the number of right-handed men is maximized, then what percent Z of all the people in Smithtown are left-handed women?
Choices:
40%
25%
20%
10%
Answer: B
Question: The average age of 11 boys is 50, if the average age of first six boys is 49 and that of the last six is 52. Find the boy age?
Choices:
50
56
62
64
Answer: B
Question: in how many ways can six members be selected from a group of ten members?
Choices:
10C4
10C9
10C2
10C1
Answer: A
Question: A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 220 square feet and its length is 12 feet longer than its width. If the uniform width between the rug and room is 12 feet, what is the area of the region uncovered by the rug (shaded region), in square feet?
Choices:
1136
40
1344
104
Answer: C
Question: A bank offers 5% C.I. calculated on half-yearly basis . A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is?
Choices:
121
772
992
212
Answer: A
Question: If x + (1/x) = 5, what is the value of T= x^2 + (1/x)^2?
Choices:
T=22
T=23
24
27
Answer: B
Question: In how many ways can an answer key for a quiz be written if the quiz contains 4 true-false questions followed by 2 multiples-choice questions with 4 answer choices each, if the correct answers to all true-false questions cannot be the same?
Choices:
190
224
298
256
Answer: B
Question: In a class of 94 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?
Choices:
15
24
33
40
Answer: D
Question: If the product of two positive integers is 50, which of the following could be the LCM and HCF of the two numbers?
1. LCM 10 : HCF 5
2. LCM 25 : HCF 2
3. LCM 18 : HCF 4
Choices:
I only
III only
II,III only
I,III only
Answer: A
Question: A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
Choices:
26 kmph
24 kmph
84 kmph
74 kmph
Answer: B
Question: The amount of time that three people worked on a special project was in the ratio of 2 to 3 to 4. If the project took 90 hours, how many more hours did the hardest working person work than the person who worked the least?
Choices:
22 hours
25 hours
26 hours
20 hours
Answer: D
Question: Find the quotient: 0.63 / 9
Choices:
0.3
0.9
0.1
0.7
Answer: D
Question: In a dairy farm, 20 cows eat 10 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
Choices:
40
80
30
60
Answer: B
Question: At a certain laboratory, chemical substance are identified by an unordered combination of three different colors. If no chemical may be assigned the same three colors as any other, what is the maximum number of substances that can be identified using nine colors?
Choices:
35
84
135
210
Answer: B
Question: HCF of two numbers is 15 and their LCM is 180. If their sum is 105, then the numbers are
Choices:
35 and 70
40 and 65
45 and 60
55 and 70
Answer: C
Question: Anna and Carol buy CDs and tapes at a music store that sells each of its CDs for a certain price and each of its tapes for a certain price. Anna spends twice as much as Carol spends, buying three times as many CDs and the same number of tapes. If Carol spends $60.00 on four CDs and five tapes, how much does one tape cost?
Choices:
$6.00
$12.00
$25.00
$100.00
Answer: A
Question: A certain stock exchange designates each stock with a 1, 2 or 3 letter code, where each letter is selected from the 12 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order, constitute a different code, how many diff stocks is it possible to designate with these codes?
Choices:
1900
1800
1884
1600
Answer: C
Question: A number exceeds by 25 from its 3/8 part. Then the number is?
Choices:
40
20
30
35
Answer: A
Question: one out of five employees are capable of doing a certain task. 50 percent of the five employees, including the one who are capable, are assigned to a project involving this task. what percentage of employees assigned to the project are not capable?
Choices:
33.33%
50%
38.33%
23.33%
Answer: B
Question: A man spends Rs. 1600 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 4000 a year. What is his average monthly income?
Choices:
2000
2100
2200
2300
Answer: A
Question: At 1:00 PM, Train X departed from Station A on the road to Station B. At 1:10 PM, Train Y departed Station B on the same road for Station A. If Station A and Station B are p miles apart, Train X’s speed is r miles per hour, and Train Y’s speed is s miles per hour, how many hours after 1:00 PM, in terms of p, r, and s, do the two trains pass each other?
Choices:
0.5 + (p - 0.5s)/(r + s)
0.5 + (p - 0.5r)/r
(p - 0.5r)/(r + s)
0.5 + (p - 0.5r)/(r + s)
Answer: A
Question: The average age of 17 students of a class is 17 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years, The age of the 17th student is
Choices:
66
18
75
12
Answer: C
Question: If the consumer price index for a sample of goods and services purchased in Dallas rose from 100 at the end of 1967 to x at the end of 1985, what was the average Y (arithmetic mean) annual increase in the index over this period?
Choices:
x/18
(100 − x)/18
(x − 100)/18
100x/18
Answer: C
Question: If 1,000 microns = 1 decimeter, and 1,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?
Choices:
10
1,000
10,000
100,000
Answer: B
Question: Kate and Danny each have $10. Together, they flip a fair coin 5 times. Every time the coin lands on heads, Kate gives Danny $1. Every time the coin lands on tails, Danny gives Kate $1. After the five coin flips, what is the probability M that Kate has more than $10 but less than $15?
Choices:
1/2
M=12/30
M=15/32
M=3/8
Answer: C
Question: A cyclist traveled for two days. On the second day the cyclist traveled 4 hours longer and at an average speed 10 mile per hour slower than she traveled on the first day. If during the two days she traveled a total of 280 miles and spent a total of 10 hours traveling, what was her average speed on the second day?
Choices:
10 mph
20 mph
30 mph
40 mph
Answer: D
Question: If we listed all numbers from 100 to 10,000, how many times would the digit 3 be printed?
Choices:
3980
3840
3780
3680
Answer: A
Question: The price of rice falls by 20%. How much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously?
Choices:
15 kg
25 kg
30 kg
None
Answer: B
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:
7
10
12
14
Answer: A
Question: If N = 1000x + 100y + 10z, where x, y, and z are different positive integers less than 4, the remainder when N is divided by 9 is
Choices:
4
6
8
9
Answer: B
Question: Three times a number is 20% more than twice another number when increased by 105. If twice the first number increased by 36 is 20% less than three times of the second number, then what is the first number?
Choices:
162
180
170
160
Answer: A
Question: Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
Choices:
2000
2700
2797
2761
Answer: A
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 14 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?
Choices:
1/6
1/25
1/50
7/450
Answer: D
Question: When a Mobile is sold for Rs. 24000, the owner loses 40%. At what price must that Mobile be sold in order to gain 40%?
Choices:
56,000
58,000
60,000
62,000
Answer: A
Question: A can empty the tank in 28 hrs, B can fill the tank in 14 hrs, and C takes 7 hrs for filling.
If all three pipes are opened simultaneously ,how long it will take to fill the tank?
Choices:
5 hr 36 minutes
6 hr 36 minutes
7 hr 36 minutes
None of these
Answer: A
Question: Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 60%?
Choices:
229
277
380
2812
Answer: C
Question: If a and b are mixed in 3:5 ration and b and c are mixed in 8:5 ration if the final mixture is 35 liters, find the amount of b?
Choices:
14.73 ltrs
15.73 ltrs
16.73 ltrs
17.73 ltrs
Answer: B
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Choices:
68
66
51
11
Answer: A
Question: The simple interest and the true discount on a certain sum for a given time and at a given rate are Rs. 85 and Rs. 75 respectively. The sum is:
Choices:
637.5
1600
1800
None
Answer: A
Question: Ramu bought an old car for Rs. 42000. He spent Rs. 8000 on repairs and sold it for Rs. 64900. What is his profit percent?
Choices:
29.8%
18%
82%
23%
Answer: A
Question: a certain organization has three committees. only two persons are members of all committees, but every pair of committees have three members in common. what is the least possible no of member of members on any one committee?
Choices:
4
6
7
8
Answer: A
Question: A sum of money is borrowed and paid back in two annual installments of Rs. 882 each allowing 5% C.I. The sum borrowed was?
Choices:
1640
2877
1882
1811
Answer: A
Question: The present worth of a certain bill due sometime hence is Rs. 400 and the true discount is Rs. 20. What is the banker's discount?
Choices:
Rs. 22
Rs. 20
Rs. 21
None of these
Answer: C
Question: There are 11 person among whom 2 are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1 person sit between the brothers, is equal to?
Choices:
7!*2!
6!*1!
2!*1!
8!*2!
Answer: D
Question: In how many years will a sum of money doubles itself at 5% per annum on simple interest?
Choices:
20%
29%
30%
60%
Answer: A
Question: Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
7.12
7.11
7.15
7.13
Answer: C
Question: From a total of 7 men and 3 women, how many ways to form a group of 5 men and 2 women ?
Choices:
57
61
63
None of these
Answer: C