antoine-444/aqua_rat_dataset huggingface dataset:
Question: A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 320 m long platform?
Choices:
44 min
47 min
67 min
45 min
Answer: A
Question: Two goods trains each 400 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:
38.4
48
27.4
21
Answer: A
Question: The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:
Choices:
520
600
960
840
Answer: B
Question: In the rectangular coordinate system, what is the area of triangle CDE with points
C=(5,8)
D=(4,2)
E=(8,0)
Choices:
13
12.8
14
20
Answer: A
Question: A distributor sells a product through an on-line store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $15 per item. What is the price that the buyer observers on-line if the distributor wants to maintain a 25% profit on the cost of the item?
Choices:
21.6
22
22.5
24
Answer: D
Question: Which symbol would be exactly at the middle of the fifth symbol from the right and ninth symbol from the left end of the following sequence of symbols ?
& * ∧ % $ # @ + - ! ∼ μ Ω Δ ± ∈ ≈ ∫ → √ ∞ ∧ @ ↓ ≥ ∈ $ + @
Choices:
_
≈
"
?
Answer: B
Question: In a 1000 m race Usha beats Shiny by 50 m. In the same race, by what time margin Shiny beat Mercy.
who runs at 4 m/s ?
Choices:
50 sec
25 sec
Data not sufficient
None of these
Answer: A
Question: The perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm. Find its area?
Choices:
240
277
266
121
Answer: A
Question: One fourth of one third of two fifth of a number is 20. What will be40% of that number
Choices:
B)150
C)180
D)240
E)220
Answer: C
Question: Find the area of a parallelogram with base 24 cm and height 16 cm.
Choices:
384
345
244
242
Answer: A
Question: 18 litres of mixture contains 20% alcohol and the rest water. If 3litres of water be mixed with it, the percentage of alcohol in the new mixture would be?
Choices:
17.14%
18.3%
19.75%
21.23%
Answer: A
Question: a, b, and c are integers and a<b<c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive. The median of set S is (3/4)*b. The median of set Q is (6/8)*c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R?
Choices:
1/2
11/16
5/8
3/4
Answer: C
Question: A jogger running at 9 kmph along side a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?
Choices:
18 sec
36 sec
72 sec
None of these
Answer: B
Question: A monkey ascends a greased pole 20 meters high. He ascends 2 meters in the first minute and then slips down 1 meter in the alternate minute. If this pattern continues until he climbs the pole , in how many minutes would he reach at the top of the pole ?
Choices:
31st minute
37th minute
32nd minute
33th minute
Answer: B
Question: The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
Choices:
5m
8m
2m
9m
Answer: C
Question: There are 9 baskets numbered from 1 to 9 and filled with apples. 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket. If there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process, how many apples were left in the end?
Choices:
550
660
770
880
Answer: A
Question: A man sells an article at a gain 15%. If he had bought it at 10% less and sold it for 5 less, he would have gained 25%. Find the cost price of the article.
Choices:
160
170
180
200
Answer: D
Question: A certain plant was 11 feet long on the day it was plantedthe length grows by a constant amount everyday(inc. the first day it was planted).
if this plant grew by 60% b/w the 4th day and 10 th day after it was planted ,how many feet per day does the plant grow
Choices:
b) 4.5
c) 1.83
d) 5.5
e) 3
Answer: B
Question: The equation y = ax*b* + c produces the
following (x, y) coordinate pairs: (0, 2),
(1, 7), and (2, 42). What is the value of abc?
Choices:
20
30
40
60
Answer: B
Question: What is the units digit of 18! + 4!?
Choices:
1
2
3
4
Answer: D
Question: Sheela deposits Rs. 3800 in bank savings account. If this is 22% of her monthly income. What is her monthly income in?
Choices:
20000
25123
17272
None of these
Answer: C
Question: Three distinct single digit no A,B and c are in G.M ,if abs(x) for real x is the absolute value of x(x , if x is positive or zero,and -x if x is negative), then the number of different possible values of abs (A+B -C) is;
Choices:
6
5
4
1
Answer: A
Question: A person starts walking at a speed of 5km/hr through half the distance, rest of the distance he
covers with aspeed 4km/hr. Total time of travel is 36 hours. What is the maximum distance he
can cover?
Choices:
40km
60km
80km
160km
Answer: D
Question: The average age of three boys is 120 years and their ages are in proportion 2:6:12. What is the age in years of the youngest boy?
Choices:
9
7
12
5
Answer: C
Question: Village X has a population of 76000, which is decreasing at the rate of 1200 per year. Village Y has a population of 42000, which is increasing at the rate of 800 per year .in how many years will the population of the two villages be equal?
Choices:
17
11
18
13
Answer: A
Question: In year Y imported machine tools accounted for 25 percent of total machine-tools sales in the United States, and Japanese imports accounted for 65 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?
Choices:
13x/20
80/9x
20x/13
80x/13
Answer: D
Question: Tough and Tricky questions: Combinations.
Six students - 3 Girls and 3 boys - are to sit side by side for a makeup exam. How many ways could they arrange themselves given that no two boys and no two girls can sit next to one another?
Choices:
72
34
240
520
Answer: A
Question: If in a $150 mln portfolio of stock, twice as much is invested in stock A as is invested in all the other stocks, how much is invested in all the other stocks?
Choices:
50mln
70mln
80mln
90mln
Answer: A
Question: On a sum of money, the S.I. for 2 years is Rs. 660, while the C.I. is Rs. 696.30, the rate of interest being the same in both the cases. The rate of interest is?
Choices:
32%
72%
11%
82%
Answer: C
Question: All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?
Choices:
1198
281
1184
282
Answer: C
Question: How many different pairs of numbers (s, t) such that s = 3t can be obtained if s and t are selected from the set of number {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
Choices:
2
3
4
5
Answer: D
Question: A and B can do a piece of work in 8 days. B and C can do it in 12 days and A and C in 16 days. Working together they will complete the work in how many days?
Choices:
8.33 days
3.99 days
7.38 days
2.88 days
Answer: C
Question: A gives B as many as rupees B has and C as many as rupees C has.Similarly B gives A as many as rupees A has and C as many as rupees C has, C similarly gives B as many as rupees B has and A as many as rupees A has..Now finally each of them has 32 rupees.how much rupees does A has initially?
Choices:
52
60
62
45
Answer: A
Question: What least no. must be subtracted from 50248 so that remaining no.is divisible by 20?
Choices:
2
4
8
6
Answer: C
Question: If x^2−2ax+a^2=0 get value of x/a
Choices:
9
7
5
1
Answer: D
Question: Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm?
Choices:
2766
188
261
600
Answer: D
Question: On the shelf, there are four books of poetry, four novels, and four reference works. Suppose we picked two books at random. What is the probability that we pick one novel and one reference work?
Choices:
4/21
6/25
8/33
10/37
Answer: C
Question: A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together?
Choices:
4 days
6 days
8 days
9 days
Answer: A
Question: Each day a man meets his wife at the train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home the man notices that they arrived 10 minutes earlier than usual. How much time did the man spend walking?
Choices:
50 minutes
55 minutes
52minutes
35 minutes
Answer: B
Question: In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?
Choices:
127.5 m
197.5 m
177.5 m
117.5 m
Answer: A
Question: The mass of 1 cubic meter of a substance is 200 kilograms under certain conditions. What is the volume, in cubic centimeters, of 1 gram of this substance under these conditions? (1 kilogram = 1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)
Choices:
1.25
8.0
12.5
5.0
Answer: D
Question: It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. What is the ratio of the speed of the train to that of the car?
Choices:
3:4
3:8
3:2
3:1
Answer: A
Question: In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is
Choices:
7
10
12
14
Answer: A
Question: Two trains, each 150 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
90
60
88
12
Answer: A
Question: The sum of three consecutive odd numbers is always divisible by:
I. 2 II. 3 III. 5 IV. 6
Choices:
Only II
Only I and II
Only II and IV
None of these
Answer: A
Question: 70, 75, 80, 85, 90, 105, 105, 130, 130, 130
The list shown consists of the times, in seconds, that it took each of 10 schoolchildren to run a distance of 400 on of meters. If the standard devastation of the 10 running times is 27.4 seconds, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times?
Choices:
two
three
four
five
Answer: A
Question: The average of first 10 odd numbers is?
Choices:
10
19
16
13
Answer: A
Question: What percent is 2 minutes 24 seconds of an hour?
Choices:
2%
4%
5%
7%
Answer: B
Question: What approximate value should come in place of the question mark (?) in the following equation?
1.542 × 2408.69 + 2134.632 = ?
Choices:
4800
5800
6400
3600
Answer: B
Question: Solve for x and check: 15x = 165
Choices:
165
180
253
None of these
Answer: A
Question: If in a certain sequence of consecutive multiples of 50, the median is 825, and the greatest term is 1000, how many terms that are smaller than 825 are there in the sequence?
Choices:
4
8
12
13
Answer: A
Question: A, B, C are three consecutive positive integers (A>B>C). What is the value of the expression 2A +B +3C?
Choices:
5A+1.
5A-1.
6A-5.
6A-7.
Answer: D
Question: A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 4320 interest only for the period. The principal amount borrowed by him was:
Choices:
s. 12,000
s. 15,000
s. 18,000
s. 20,000
Answer: A
Question: Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
Choices:
7
6
3
4
Answer: C
Question: The total of company C's assets in 1994 was 500% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994:
Choices:
8N
19N
22N
30N
Answer: D
Question: If 6^k + 6^k = (6^9)^(6^9) - 6^k, then k = ?
Choices:
11/2
242
6^11 - 1
3^11 - 1
Answer: C
Question: The cash difference between the selling prices of an article at a profit of 2% and 4% is Rs 3. The ratio of two selling prices is
Choices:
52:53
53:54
54:55
51:52
Answer: D
Question: In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?
Choices:
150
50
250
75
Answer: A
Question: A 300 m long train crosses a platform in 30 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
350 m
200 m
278 m
267 m
Answer: B
Question: If 4 men and 1 boy working together, can do two times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
Choices:
2:1
3:3
1:2
6:1
Answer: C
Question: What annual installment will discharge a debt of Rs.1092 due in 3 years at 12% simple interest?
Choices:
442
440
320
532
Answer: A
Question: Divide Rs. 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is?
Choices:
627
276
828
112
Answer: C
Question: How many numbers are there between 200 and 800 which are divisible by both 5 and 7?
Choices:
16
17
can’t be determined
None of these
Answer: B
Question: What is the greatest value of n such that 16^n is a factor of 18! ?
Choices:
1
3
4
5
Answer: A
Question: The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is?
Choices:
51.4
56.4
52.2
60.8
Answer: A
Question: The expression x#y denotes the product of the consecutive multiples of 3 between x and y, inclusive. What is the sum of the exponents in the prime factorization of 21#33?
Choices:
13
14
15
16
Answer: B
Question: In a class, the average age of 40 boys is 15 years and the average of 30 girls is 13 years. what is the average age of the whole class?
Choices:
12.6 Years
13 Years
13.5 Years
14.1 Years
Answer: D
Question: In how many ways can 3 postcards can be posted in 5 postboxes?
Choices:
150
175
200
125
Answer: D
Question: What is the equation of a circle of radius 8 units centered at (3, 2)?
Choices:
x^2 + y^2 - 6x + 4y = 23
x^2 + y^2 + 6x + 4y = 23
x^2 + y^2 - 6x – 4y = 51
x^2 + y^2 - 6x – 4y = - 23
Answer: C
Question: John and Jane went out for a dinner and they ordered the same dish. Both used a 10% discount coupon. John paid a 15% tip over the original price of the dish, while Jane paid the tip over the discounted price for the coupon. If John paid $0.63 more than Jane, what was the original price of the dish?
Choices:
34.8
37.8
42
84
Answer: C
Question: Two pipes A and B can fill a cistern in 20 and 10 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Choices:
8 min
17 1/7 min
7 1/7 min
7 2/7 min
Answer: A
Question: If x and y are positive integers and 5 + x + y + xy = 19, what is the value of x + y?
Choices:
5
6
8
9
Answer: B
Question: George's drawer has 10 loose black socks, 14 loose blue socks, and 8 loose white socks. If George takes socks out of the drawer at random, how many would he need to take out to be sure that he had at least two matching pairs of socks in two different colors?
Choices:
14
15
16
17
Answer: D
Question: Joe went up a certain hill at the rate of one and a half kilometers per hour and came down at the rate of four and a half kilometers per hour, so that it took just four hours to make the double journey. How far was it to the top of the hill ?
Choices:
6 km
4.5 km
km
none of the above
Answer: B
Question: The product of two negative integers, a and b, is a prime number p. If p is the number of factors of n, where n is NOT a perfect square, what is the value of the median of the four integers a, b, p, and n?
Choices:
1/2
1
3/2
2
Answer: A
Question: How many ways the letters of the word ‘BANKER’ can be arranged?
Choices:
650
720
750
7880
Answer: B
Question: It is well known that a triangle’s area is √(p(p-a)(p-b)(p-c)),
when p=(a+b+c)/2, such that a, b, c are the lengths of sides of the triangle. If the triangle has 300, 360, and 300 as the side’s lengths, what is the triangle’s area?
Choices:
43,200
38,200
42,200
34,200
Answer: A
Question: For a finite sequence of non zero numbers, the number of variations in the sign is defined as the number of pairs of consecutive terms of the sequence for which the product of the two consecutive terms is positive. What is the number of variations in sign for the sequence 1, -3, 2, 5, -4, -6,7,-9,8?
Choices:
2
3
4
5
Answer: A
Question: A, B and C started a partnership business by investing Rs.12000, Rs.16000, Rs.20000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit?
Choices:
60000
86400
90000
50000
Answer: B
Question: A man spends 18% of his income in house rent, 22% of the rest on his children’s education, 28% of the rest miscellaneous causes. If he now posses Rs. 9877 then his income is?
Choices:
A)Rs.21472
C)Rs.41472
D)Rs.61479
E)Rs.56979
Answer: A
Question: A group of Students take a test:
Two people scored 45
Two people scored 50
Then every other persons scores were 40,60,70,75,95,100
Which score that is greater than the median but less than the mean?
Choices:
50
60
70
75
Answer: B
Question: Ram and Shakil run a race of 2000m. First Ram gives Shakil a start of 200m and beats him by 1 minute.Next Ram gives shakil a start of 6 min and is beaten by 1000 meters . Find the time in minutes in which Ram and Shakil can run the race seperately.
Choices:
10.18
10.12
8.1
8.2
Answer: C
Question: What least number must be subtracted from 427398 so that remaining no.is divisible by 13
Choices:
5
6
7
10
Answer: D
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 20 sec. What is the length of the platform?
Choices:
350 m
285 m
299 m
219 m
Answer: B
Question: Water is leaking out from a cylinder container at the rate of 0.31 m^3 per minute. After 10 minutes, the water level decreases 1/9 meters. What is value of the radius in meters?
Choices:
3
4
6
9
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:
3944
7290
6928
3729
Answer: A
Question: A boat having a length 7 m and breadth 3 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
Choices:
120 kg
89 Kg
80 Kg
210 Kg
Answer: D
Question: If $910 are divided between worker A and worker B in the ratio 5:9,what is the share that worker B will get?
Choices:
63.28%
64.29%
65.31%
66.32%
Answer: B
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?
Choices:
278
629
480
283
Answer: C
Question: If a fair coin lands on heads 3 times out of 4 tosses, what is the probability that it will land on heads on the 5th toss?
Choices:
2/4
1/8
2/8
3/4
Answer: A
Question: At a certain restaurant, the ratio of the number of cooks to the number of waiters is 3 to 8. When 12 more waiters are hired, the ratio of the number of cooks to the number of waiters changes to 1 to 4. How many cooks does the restaurant have?
Choices:
6
9
12
15
Answer: B
Question: If 5 workers collect 48 kg of cotton in 4 days, how many kg of cotton will 9 workers collect in 2 days?
Choices:
52.6 kg
59.6 kg
56.6 kg
57.6 kg
Answer: D
Question: A number when divided by a divisor leaves a remainder of 24.
When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
Choices:
37
41
42
43
Answer: A
Question: Sonika deposited Rs.13000 which amounted to Rs.10200 after 4 years at simple interest. Had the interest been 5% more. She would get how much?
Choices:
13002
12800
12300
14500
Answer: B
Question: A train passes a station platform in 40 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
300
240
250
260
Answer: A
Question: What is the sum of the multiples of 4 between 13 and 125 inclusive?
Choices:
1,960
2,200
3,780
4,400
Answer: A
Question: The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is?
Choices:
6.79
6.02
6.09
6.01
Answer: C
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is:
Choices:
2:3
3:4
3:5
3:6
Answer: A
Question: According to the formula F=9/5 (C) +32, if the temperature in degrees Farenheit (F) increases by 30, by how much does the temperature in degrees Celsius (C) increase?
Choices:
16.66
47
48 3/5
59
Answer: A
Question: In 2005, 25 percent of the math department’s 50 students were female, and in 2007, 40 percent of the math department’s 65 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department?
Choices:
50%
62.5%
108%
160%
Answer: C
Question: Find the odd man out. 4, 6, 8 , 10, 17, 18
Choices:
6
17
10
18
Answer: B
Question: A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
Choices:
1020
1023
1098
1012
Answer: B
Question: While playing a certain dice game, Chris wins if the sum of the two dice is 11, at which point the game is over. If the game allows Chris three rolls in an attempt to win, what is the probability that Chris will win?
Choices:
17/36
26/165
11/36
25/216
Answer: B
Question: Michele invests 100 of her money in a mutual fund that quickly goes sour, losing 25% of its value each day for a week. Which of the following COULD BE be the value of Michele’s investment at the close-of-business any day that week?
Choices:
$13.300
$250.05
$1575.00
$10000.00
Answer: A
Question: A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. The difference between the profit shares of A and C is?
Choices:
Rs. 400
Rs. 500
Rs. 600
None of these
Answer: C
Question: You collect coins. Suppose you start out with 11. Since you're nice, you give Sharon 3 coins. Since you're nice, you give Steven 6 coins. How many coins do you have at the end?
Choices:
2
4
5
6
Answer: A
Question: To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?
Choices:
35
62.5
Cannot be determined
None of these
Answer: B
Question: 11 + 12 + 13 + ... 51 + 52 = ?
Choices:
1362
1323
1364
1365
Answer: B
Question: A man rows down stream 22km and 7 km upstream. if he takes 6 hrs to covereach distance, then the velocity of the current is
Choices:
1.25kmph
8.5kmph
6.3kmph
4.9kmph
Answer: A
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 130 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
37 sec
36 sec
16 sec
11 sec
Answer: A
Question: There are two tanks A & B with same capacity of 20 litres. If the water inflow rate (speed) in Tank A is 2 litres per hour & in Tank B is 4 litres per hour. How much longer tank A takes to fill than Tank B?
Choices:
5 hours
3 hours
2 hours
1 hour
Answer: A
Question: Three candidates contested an election and received 5136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate got
Choices:
56%
47.6%
58%
59%
Answer: B
Question: Max scored 6 marks more than what he did in the previous examination in which he scored 30. Maria scored 30 marks more than she did in the previous examination in which she scored 60. Who showed less improvement?
Choices:
50%
80%
20%
55%
Answer: A
Question: Town A	Town B	Town C	Town D	Town E	Town F ; Town A Town B Town C Town D Town E Town F In the table above, what is the least number of table entries that are needed to show the mileage between each Town and each of the other five Towns?
Choices:
22
15
18
25
Answer: B
Question: Find the least number of complete years in which a sum of money put out at 33.3% compound interest will be more than double of itself?
Choices:
3
5
6
7
Answer: A
Question: In a group of cows and hens, the number of legs are 16 more than twice the number of heads. The number of cows is :
Choices:
6
7
8
12
Answer: C
Question: The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 65 kg. What is the correct weight?
Choices:
58 kgs
58.85 kgs
60 kgs
61 kgs
Answer: B
Question: What is the sum between the place values of three 7's in the numeral 87953.0727
Choices:
7000.0707
7777
7014
7000.0077
Answer: A
Question: Vijay sells a cupboard at 16% below cost price. Had he got Rs.1800 more, he would have made a profit of 16%. What is the cost price of the cupboard?
Choices:
14900
5625
7500
None of these
Answer: B
Question: Howmany words (with or without meaning) of three distinct letters of the English alphabets are there?
Choices:
15800
15700
15400
15600
Answer: D
Question: A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 6 feet long. If a certain fence begins and ends with a post, which of the following could not be the length of the fence in feet? (12 inches = 1 foot)
Choices:
33
46
52
59
Answer: C
Question: Last year Elaine spent 20% of her annual earnings on rent. This year she earned 35% more than last year and she spent 30% of her annual earnings on rent. The amount she spent on rent this year is what percent of the amount spent on rent last year?
Choices:
202.5
197.5
182.5
177.5
Answer: A
Question: Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?
Choices:
Rs.2569
Rs.4587
Rs.479
Rs.2522
Answer: D
Question: If f(x)=x^2 and x is an integer, which of the following CANNOT be the value of f(f(x))?
Choices:
144
81
1
256
Answer: A
Question: What is the difference between the largest number and the least number written with the figures 3, 4, 7, 0, 3?
Choices:
43893
43983
43883
43823
Answer: B
Question: A worker makes a toy in every 2h. If he works for 100h, then how many toys will he make ?
Choices:
50
45
39
None
Answer: A
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: By selling 100 oranges, a fruit-seller gains the selling price of 30 oranges. Find the gain percent?
Choices:
45.36%
42.85%
48.26%
47.23%
Answer: B
Question: A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 60, how many horses are there ?
Choices:
12
14
16
18
Answer: A
Question: In how many ways can 6 apples (identical) be distributed among 4 children? (Some children may get no apples.)
Choices:
84
94
104
74
Answer: A
Question: A clock is started at noon. By 10 minutes past 8, the hour hand has turned through how many degrees?
Choices:
240Â°
245Â°
250Â°
255Â°
Answer: B
Question: A circular well with a diameter of 2 metres , is dug to a depth of 10 metres. What is the volume of the earth dug out?
Choices:
31.4 m3
40 m3
44 m3
None
Answer: A
Question: Two cars are traveling towards each other. If car A is traveling at a speed of 60 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:
Six hours and 30 minutes.
Eight hours and 20 minutes.
Nine hours and 15 minutes.
Ten hours and 20 minutes.
Answer: A
Question: If P represents the product of the first 13 positive integers, which of the following must be true?
I. P is an odd number
II. P is a multiple of 18
III. P is a multiple of 29
Choices:
II only
III only
None of the above
All of the above
Answer: A
Question: If the sum of 10 consecutive integers is x, which of the must be true?
I. x is even
II. x is odd
III. x is a multiple of 3
Choices:
II only
III only
I and III
II and III
Answer: C
Question: which of the following could be the greatest common factor of positive integers 4 and 5 ? I) 8 II) 4 III) None of these
Choices:
III only
I,II only
I only
I,III only
Answer: A
Question: What profit/loss percent did Ravi earn if he purchased an item of Rs.5,600 and sold it at three-fourth of its cost price?
Choices:
Gain of 25 percent
Neither gain or loss
Loss of 15 percent
None of these
Answer: A
Question: Given 2 numbers; 16 and x, the LCM and HCF of both numbers is 144 and 2 respectively. Find x?
Choices:
28
15
13
18
Answer: D
Question: A cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and thereby decreases his average by 0.4. The number of wickets taken by him till the last match was:
Choices:
72
80
85
None of the above
Answer: C
Question: A man buys an article for $20. and sells it for $35. Find the gain percent?
Choices:
50%
20%
75%
30%
Answer: C
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at?
Choices:
12 min
19 min
11 min
16 min
Answer: A
Question: When x is divided by y, the quotient is t with remainder r. Which of the following is y in terms of r, x, and t? (Assume both y and t are nonzero.)
Choices:
(x+r)/t
x/t−r
(x−r)/t
xr – t
Answer: C
Question: In a group of 20 students, each student is registered for at least one of three classes – History, Math and English. 10 students are registered for History, 10 students are registered for Math, and 15 students are registered for English. If only three students are registered for all three classes, how many students are registered for exactly two classes?
Choices:
10
9
8
7
Answer: B
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
Choices:
190
188
1787
21
Answer: A
Question: Imagine a picture in your mind. There is a rose plant. A few roses have grown up in the plant. There are a few bees hovering over them.
Now read the given statements carefully:
1) If every one of the bees lands on a rose, one of them won't get a rose.
2) If two bees share rise together, then there will be one rose left without any bee.
Can you find out the number of roses on the plant and the number of bees?
Choices:
There are three roses and four bees.
There are three roses and three bees.
There are five roses and one bees.
There are six roses and four bees.
Answer: A
Question: The number 523fbc is divisible by 7,8,9. Then what is the value of f*b*c
Choices:
532
210
180
280
Answer: C
Question: When all the students in a school are made to stand in rows of 54, 30 such rows are formed. If the students are made to stand in rows of 45, how many such rows will be formed ?
Choices:
36
38
19
21
Answer: A
Question: What least number must besubtracted from 427398 so that remaining no.is divisible by 15?
Choices:
725117481
454564690
759900434
656590009
Answer: A
Question: Complete the sequence:
D F J P ?
Choices:
D
S
F
X
Answer: D
Question: A 1 k.m. long wire is held by n poles. If one pole is removed, the length of the gap becomes 12/3m. What is the number of poles initially?
Choices:
501
502
503
504
Answer: A
Question: If an article is sold at 18% profit instead of 9% profit, then the profit would be $72 more. What is the cost price?
Choices:
$600
$700
$800
$900
Answer: C
Question: Some of 50%-intensity red paint is replaced with 20% solution of red paint such that the new paint intensity is 40%. What fraction of the original paint was replaced?
Choices:
1/3
2/3
3/4
4/5
Answer: A
Question: 45 workers work 8 hours to dig a hole 30 meters deep. How many extra workers should be hired to dig another hole 35 meters deep by working for 6 hours?
Choices:
20
30
40
50
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 18 seconds. What is the length of the train?
Choices:
278 m
300 m
150 m
267 m
Answer: B
Question: Suresh can complete a job in 15 hours. Ashutosh alone can complete the same job in 15 hours. Suresh works for 9 hours and then the remaining job is completed by Ashutosh. How many hours will it take Ashutosh to complete the remaining job alone?
Choices:
5
6
12
None of these
Answer: B
Question: There is a 20% chance Sandy will visit China this year, while there is a 70% chance that she will visit Malaysia this year. What is the probability that Sandy will visit either China or Malaysia this year, but NOT both?
Choices:
48%
54%
62%
70%
Answer: C
Question: 10, 14, 16, 18, 21, 24, 26
Choices:
20
21
25
26
Answer: B
Question: Sachin is younger than Rahul by 7 years. If the ratio of their ages is 7:9, find the age of Sachin
Choices:
24.5
26.5
27.5
37.5
Answer: A
Question: Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:
Choices:
10.9
10.1
10.8
10.5
Answer: C
Question: Insert the missing number. 2, 7, 10, 22, 18, 37, 26
Choices:
52
62
46
25
Answer: A
Question: Rs. 800 becomes Rs. 956 in 3 years at a rate of S.I. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years?
Choices:
Rs. 1052
Rs. 1252
Rs. 1452
Rs. 2052
Answer: A
Question: In a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. If pqrs = 2145, and if 1< p < q < r < s, how many students in the class are marketing majors?
Choices:
5
8
11
17
Answer: C
Question: one person Tharak speed with the current is 12 km/hr and the speed of the current is 5 km/hr. Tharak's speed against the current is:
Choices:
1 km/hr
2 km/hr
3 km/hr
4 km/hr
Answer: B
Question: The function f is defined for all positive integers n by the following rule. f(n) is the number of positive integers each of which is less than n and has no positive factor in common with n other than 1. If p is any prime, number then f(p)=
Choices:
p-1
(p+1)/2
(p-1)/2
2
Answer: A
Question: A walks at 10 kmph and 5 hours after his start, B cycles after him at 20 kmph. How far from the start does B catch up with A?
Choices:
100km
50km
120km
200km
Answer: A
Question: A grocer has a sale of Rs. 5420, Rs. 5660, Rs. 6200, Rs. 6350 and Rs. 6500 for 5 consecutive months. Find the sale he should have in the sixth month, so that he gets an average sale of Rs. 6400?
Choices:
Rs. 8270
Rs. 6020
Rs. 6850
None of these
Answer: A
Question: In a game, a player can win by getting six consecutive tails in seven throws of a coin. What is the probability of winning if the player gets a tail on the first throw?
Choices:
1/16
1/32
1/64
1/128
Answer: B
Question: Given two sets X = {1,1,8,8,9,9} and Y = {0,1}, if one number is chosen from each set at random, what is the probability that the sum of both numbers is an even number
Choices:
1/3
1/6
1/4
1/2
Answer: D
Question: fetched a total simple interest of Rs. 4216.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
Choices:
Rs.89228
Rs.8911
Rs.8925
Rs.8922
Answer: C
Question: Jack and Jill are marathon runners. Jack can finish a marathon (42 km) in 2.5 hours and Jill can run a marathon in 4.2 hours.What is the ratio of their average running speed? (Jack: Jill)
Choices:
41/25
4/5
5/4
Cannot be determined
Answer: A
Question: If a man travels m miles an hour for t hours and r miles an hour for s hours, what is his average rate in miles per hour for the entire distance traveled?
Choices:
(mt + rs)/2
(mt + rs)/(t + s)
t/m + s/r
(mt + rs)/(t - s)
Answer: B
Question: At Veridux Corporation, there are 250 employees. Of these, 90 are female, and the rest are males. There are a total of 40 managers, and the rest of the employees are associates. If there are a total of 140 male associates, how many female managers are there?
Choices:
20
25
30
35
Answer: A
Question: Raman mixed 34 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
Choices:
287
192
188
112
Answer: B
Question: The number 250 can be written as sum of the squares of 3 different positive integers. What is the sum of these 3 different integers?
Choices:
22
21
20
19
Answer: A
Question: The cost price of a radio is Rs.1340 and it was sold for Rs.1210, find the loss %?
Choices:
9%
22%
24%
21
Answer: A
Question: What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12% p.a.?
Choices:
Rs. 9720
Rs. 10123.20
Rs. 10483.20
None
Answer: B
Question: A certain no. when divided by 65 leaves a remainder 25, what is the remainder if the same no.be divided by 15?
Choices:
4
6
8
9
Answer: B
Question: A family has two children. find the probability that both the children are boys given that at least
one of them is a boy?
Choices:
1/3
2/5
3/7
3/11
Answer: A
Question: A crate of mangoes contains one bruised mango for every thirty mango in the crate. If three out of every four bruised mango are considerably unsaleable and there are 12 unsaleable mangoes in the crate then how many mango are there in the crate?
Choices:
480
680
280
380
Answer: A
Question: An amount of money is to be divided between Ram, Raja and Rahim in the ratio of 1:4:10. If the difference between the shares of Ram and Raja is Rs.300, what will be the difference between Raja and Rahim's share?
Choices:
600
2866
2999
2678
Answer: A
Question: {8,4,6,5,3,12,7}
What number should be inserted in the set of 7 values to get a median of 9?
Choices:
14
16
5
8
Answer: A
Question: The average runs scored by a batsman in 20 matches is 30. In the next 10 matches the batsman scored an average of 15 runs. Find his average in all the 30 matches?
Choices:
25
88
13
12
Answer: A
Question: What is the probability of flipping a fair coin three times and the coin landing on heads on all three flips?
Choices:
5/8
7/8
1/8
1/4
Answer: C
Question: If {x} is the product of all even integers from 1 to x inclusive, what is the greatest prime factor of {20} + {24}?
Choices:
25
11
5
2
Answer: A
Question: There are 4 red books and 4 blue books on a shelf. If 2 books are selected at random from the shelf, what is the probability that both books selected are red books?
Choices:
3/7
3/14
5/28
9/28
Answer: B
Question: The distance between two cities A and B is 1410 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?
Choices:
07 PM
11 PM
05 AM
03 AM
Answer: A
Question: A, B and C can do a work in 6, 8 and 12 days respectively doing the work together and get a payment of Rs.1800. What is B’s share?
Choices:
600
688
268
279
Answer: A
Question: If every alternative letter starting from B of the English alphabet is written in small letter, rest all are written in capital letters, how the month “ September” be written.
Choices:
SEpTeMBEr
SeptembeR
SepteMber
None of the above
Answer: D
Question: The ratio of the present ages of P and Q is 3:4. 5 years ago, the ratio of their ages was 5:7. Find the their present ages?
Choices:
30, 40
60, 40
10, 30
50, 40
Answer: A
Question: What is the average of first 21 multiples of 8 ?
Choices:
B)77
C)79
D)81
E)88
Answer: D
Question: If grapes are 92% water and raisins are 20% water, then how much did a quantity of raisins, which currently weighs 12 pounds, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.)
Choices:
46 pounds
92 pounds
100 pounds
120 pounds
Answer: D
Question: How many of the positive factors of 17 are not factors of 34?
Choices:
0
2
3
4
Answer: A
Question: After successive discounts of 20%, 10% and 5% a certain good is sold for Rs. 6400. Find the actual price of the good.
Choices:
s. 9000
s. 10800
s. 9357
s. 9980
Answer: C
Question: The diagonal of the floor of a rectangular closet is 7 feet. The shorter side of the closet is 4 feet. What is the area of the closet in square feet?
Choices:
37
27
28
23
Answer: B
Question: A man travels 100km by train at 35km/hr, 200km by ship at 20km/hr, 300km by aeroplane at 100km/hr and 100km by car at 50km/hr. What is the average speed for the entire distance?
Choices:
39.2km/hr
48.9km/hr
52.6km/hr
27.6km/hr
Answer: A
Question: A bakery opened yesterday with its daily supply of 80 dozen rolls. Half of the rolls were sold by noon, and 80 percent of the remaining rolls were sold between noon and closing time. How many dozen rolls had not been sold when the bakery closed yesterday?
Choices:
8
5
4
3
Answer: A
Question: If 12 men or 20 women can do a piece of work in 54 days, then in how many days can 9 men and 21 women together do the work?
Choices:
30 days
20 days
80 days
40 days
Answer: A
Question: If 13 = 13w/(1-w) ,then (3w)2 =
Choices:
1/2
1
2
3
Answer: D
Question: Find the odd man out
892, 444, 220, 112, 52, 24
Choices:
112
220
444
544
Answer: A
Question: Find the area of a parallelogram with base 26 cm and height 12 cm?
Choices:
284
288
255
312
Answer: D
Question: January 1, 2004 was a Thursday, what day of the week lies on January 1 2005.
Choices:
Monday
Saturday
Tuesday
None of these
Answer: B
Question: A football coach must choose 4 freshers from a team of 11 players. How many different ways can the coach choose the freshers?
Choices:
330
729
800
890
Answer: A
Question: There are seven thieves. They stole diamonds from a diamond merchant and ran away. While running, night sets in and they decide to rest in the jungle.
When everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves. But when they divided the diamonds equally, one diamond is left.
So they woke up the 3rd thief and tried to divide the diamonds equally again but still one diamond was left. Then they woke up the 4th thief to divide the diamonds equally again, and again one diamond was left. This happened with the 5th and 6th thief – one diamond was still left.
Finally, they woke up the 7th thief and this time the diamonds were divided equally.
How many diamonds did they steal in total?
Choices:
2401
2411
2423
None of the above
Answer: A
Question: Three is the largest number that can be divided evenly into 27 and the positive integer x, while 10 is the largest number that can be divided evenly into both 100 and x. Which of the following is the largest possible number that could be divided into x and 2100
Choices:
70
210
300
700
Answer: B
Question: Increasing the original price of an article by 15% and then increasing the new price by 15% again is equivalent to increasing the original price by what %?
Choices:
34
68
88
102
Answer: A
Question: Which of the following is a prime number ?
Choices:
81
97
93
none
Answer: B
Question: The average of first seven prime numbers which are between 30 and 70 is
Choices:
42
44.4
57
67
Answer: B
Question: Mark has to visit towns B and C in any order. The roads connecting these towns with his house are shown on the diagram. How many different routes can he take starting from A and returning to A, going through both B and C and not traveling any road twice on the same trip?
Choices:
8
9
10
12
Answer: A
Question: When Professor Wang looked at the rosters for this term's classes, she saw that the roster for her economics class (E) had 26 names, the roster for her marketing class (M) had 26, and the roster for her statistics class (S) had 18. When she compared the rosters, she saw that E and M had 9 names in common, E and S had 7, and M and S had 10. She also saw that 4 names were on all 3 rosters. If the rosters for Professor Wang's 3 classes are combined with no student's name listed more than once, how many names will be on the combined roster?
Choices:
34
48
46
50
Answer: B
Question: A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?
Choices:
200%
100%
170%
104%
Answer: B
Question: If n and y are positive integers and 450y = n^3, which of the following must be an interger
I. y/ (3 * 2^2 * 5)
II. y/ (3^2 * 2 * 5)
III. y/ 3 * 2 * 5^2
Choices:
I only.
II only.
III only.
I, II, and III
Answer: A
Question: The ratio of three numbers is 3:4:5 and the sum of their squares is 1250. The sum of the numbers is:
Choices:
50
60
70
80
Answer: B
Question: A company assigns product codes consisting of all the letters in the alphabet.How many product codes are possible if the company uses at most 2 letters in its codes, and all letters can be repeated in any one code?
Choices:
A.702
C.17576
D.18278
E.28572
Answer: A
Question: A bike covers a certain distance at the speed of 81km/h in 7 hrs. If the bike was to cover the same distance in approximately 9 hrs, at what approximate speed should the bike travel?
Choices:
67 km/h
90.14 km/h
63 km/h
92 km/h
Answer: C
Question: There are k-2 members in a certain band, including Jim and Ellen. Two members are to be selected to attend the Grammy awards ceremony. If there are 21 possible combinations in which Jim and Ellen are not selected, what is the value of k?
Choices:
9
10
11
12
Answer: C
Question: A number when divided by 6 leaves a remainder 3. When the square of the same number is divided by 6, the remainder is:
Choices:
1
2
3
4
Answer: C
Question: When n is divided by 20, the remainder is 6. What is the remainder when n + 16 is divided by 5?
Choices:
1
4
5
6
Answer: A
Question: Carol and Jordan draw rectangles of equal area. If Carol's rectangle measures 5 inches by 24 inches and Jordan's rectangle is 4 inches long, how wide is Jordan's rectangle, in inches?
Choices:
23
32
30
18
Answer: C
Question: A man can row 3.6 km/hr in still water. It takes him twice as long to row upstream as to row downstream. What is the rate of the current ?
Choices:
1.7
1.2
1.5
1.1
Answer: B
Question: A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
Choices:
50
27
26
54
Answer: A
Question: Ayesha's father was 58 years of age when she was born while her mother was 42 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
40
50
10
20
Answer: D
Question: The average score of 35 students in a class is 37. If every student is given 3 grace marks, the new average of the class is:
Choices:
21
38
40
92
Answer: C
Question: The sector of a circle has radius of 21 cm and central angle 120o. Find its perimeter?
Choices:
11.5 cm
91.8 cm
86 cm
99.5 cm
Answer: C
Question: Earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and Ellen requires a minutes and half to stuff the same number of envelops.Working together,how long will it take Earl and Ellen to stuff 60 envelopes
Choices:
1 minute
7 minutes
3 minutes
4 minutes
Answer: A
Question: How many times the keys of a writer have to be pressed in order to write first 200 counting no's?
Choices:
462
472
482
492
Answer: D
Question: If x is a prime number, which of the following cannot be an integer?
Choices:
5x/3
3x/7
15x/6
x/6
Answer: D
Question: Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years.
Choices:
306.05
306.04
306.05
306.01
Answer: A
Question: The mean of 50 observations is 200. But later he found that there is decrements of 15 from each observations. what is the the updated mean is ?
Choices:
185
190
198
200
Answer: A