antoine-444/aqua_rat_dataset huggingface dataset:
Question: A box contains 5 pairs of shoes (10 shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes?
Choices:
1/20
1/9
1/10
1/9
Answer: B
Question: A wheel that has 3 cogs is meshed with a larger wheel of 21 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is:
Choices:
3
6
8
7
Answer: A
Question: An Olympic diver received the following scores: 4, 3, 5, 2. The standard deviation of her scores is in which of the following ranges?
Choices:
1.01 to 1.99
3.01 to 3.99
5.01 to 5.99
2.01 to 2.99
Answer: A
Question: A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:
Choices:
4.14 kmph
2.33 kmph
2.88 kmph
4.44 kmph
Answer: A
Question: Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
Choices:
476
169
260
256
Answer: A
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
Choices:
Rs.810
Rs.820
Rs.900
Rs.920
Answer: B
Question: The diagonals of a rhombus are 12 cm and 15 cm. Find its area?
Choices:
45
90
120
180
Answer: B
Question: Which of the following inequalities is equivalent to 10 + 2x > 100 + 5x?
Choices:
x < -30
x > -20
x < -10
x > -11
Answer: A
Question: In what ratio P:Q should the Mixture P of milk and water in the ratio of 6:1 be mixed with another Mixture Q of milk and water in the ratio 3:4 so that the resultant mixture contains equal quantities of milk and water?
Choices:
1:4
1:5
2:5
3:4
Answer: B
Question: If k = 2n - 1, where n is an integer, what is the remainder of k^2/8?
Choices:
1
5
7
Cannot be determined from the information given.
Answer: A
Question: In the first 7 overs of a cricket game, the run rate was only 4.2. What should be the rate in the remaining 30 overs to reach the target of 282 runs?
Choices:
8.42
8.3
8.1
6.21
Answer: A
Question: Guna has 8 flavors of ice cream in him parlor. How many options are there for Thilak to pick a one-flavor, two-flavor, three-flavor, four-flavor, five-flavor, six-flavor,seven-flavor or eight-flavor order?
Choices:
395
448
774
835
Answer: A
Question: Of the employees in a company, 40 % are female who have a master degree. If 40 % of the female employees do not have a master degree, what percent of the employees in the company are female?
Choices:
66.67%
68.67%
65.67%
64.67%
Answer: A
Question: . In digging a pond 23 m * 12 m * 8 m the volumes of the soil extracted will be?
Choices:
2300
2877
2208
2111
Answer: C
Question: A house wife saved $3.50 in buying an item on sale. If she spent $32.50 for the item, approximately how much percent she saved in the transaction?
Choices:
9%
10%
11%
12%
Answer: B
Question: The average age of 15 students of a class is 15 years. Out of these, the average age of 8 students is 14 years and that of the other 6 students is 16 years. The age of the 15th student is
Choices:
11 years
17 years
21 years
25 years
Answer: B
Question: A train passes a station platform in 36 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:
240
287
267
191
Answer: A
Question: A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
Choices:
6
4
7
9
Answer: C
Question: When 200 is divided by positive integer x, the remainder is 3. What is the remainder when 297 is divided by x?
Choices:
3
4
6
8
Answer: A
Question: What is the difference between the C.I. on Rs. 5000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?
Choices:
2.04
2.03
2.02
2.01
Answer: A
Question: If x + y = 2 and x^2 - xy - 10 - 2y^2 = 0, what does x − 2y equal?
Choices:
1
2
5
10
Answer: C
Question: A milk man has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk.If the cost of pure milk is Rs.18 per liter,then the profit of the milkman, when he sells all the mixture at cost price is:
Choices:
25%
33.33%
18%
None of these
Answer: A
Question: In a 1000 m race, A beats B by 10 m and B beats C by 100 m. In the same race, by how many meters does A beat C?
Choices:
A)109m
C)822m
D)929m
E)132mj
Answer: A
Question: If integers ending in zero are excluded, what is the unit digit of the product of the even integers from 402 to 498, inclusive?
Choices:
3
4
5
6
Answer: D
Question: A sum of Rs. 2900 amounts to Rs. 3422 in 3 years. Had the rate of interest be 4% higher then what would the sum amount in the same time period?
Choices:
Rs. 3770
Rs. 3596
Data inadequate
None of these
Answer: A
Question: A person crosses a 600m long street in 3 minnutes. What is his speed in km per hour?
Choices:
7.2km/hr
9km/hr
12km/hr
3km/hr
Answer: C
Question: The average of 9 observations was 8, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Choices:
18
15
17
19
Answer: A
Question: A man spends 1/3rd of his salary on food. he spends 1/4th on rent and 1/5th on cloths. If he is left with 1760, then who much salary does he earn
Choices:
8123
8323
8423
8523
Answer: A
Question: How many seconds will a 1200 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
65 sec
55 sec
19 sec
72 sec
Answer: D
Question: Two buses start at the same time, one from P to Q and the other from Q to P. If both buses reach after 4 hours and 16 hours at Q and P respectively after they cross each other, what would be the ratio of speeds of the bus starting from P and that of the one starting from point Q?
Choices:
2 : 1
2 : 2
1 : 4
5 : 2
Answer: A
Question: The average age of a husband and his wife was 20 years at the time of their marriage. After five years they have a one-year old child. The average age of the family now is :
Choices:
18
19
287
17
Answer: D
Question: The speed of a motor boat itself is 20 km/h and the rate of flow of the river is 4 km/h. Moving with the stream the boat went 120 km. What distance will the boat cover during the same time going against the stream?
Choices:
85 km
70 km
80 km
90 km
Answer: C
Question: We run a business that rents out canoes and kayaks. A canoe rental costs $11 per day, and a kayak rental costs $16 dollars per day. One day, our business rents out 4 canoes for every 3 kayaks and receives a total of $460 in revenue. How many more canoes than kayaks were rented out?
Choices:
7
6
5
4
Answer: C
Question: A 14% stock yielding 8% is quoted at?
Choices:
170
175
180
185
Answer: B
Question: In how many different ways can the letters of the word "AIM" be rearrangement?
Choices:
2
7
9
6
Answer: D
Question: HOW MANY KGS OF TEA WORTH RS.25/KG MUST BE BLENDED WITH 30 KGS OF TEA WORTH RS.30/KG SO THAT BY SELLING THE BLENDED VARIETY AT RS.30/KG THERE SHOULD BE A GAIN OF 15%
Choices:
108
32
42
45
Answer: A
Question: The value of x is one quarter of z. The sum of x, y, and z is equal to 26. If the value of y is twice the value of z, what is the largest factor of the sum of y and z?
Choices:
3
8
12
24 IS ANSWER
Answer: D
Question: A merchant mixes three varieties of rice costing Rs.20/kg, Rs.24/kg and Rs.30/kg and sells the mixture at a profit of 20% at Rs.30 / kg. How many kgs of the second variety will be in the mixture if 2 kgs of the third variety is there in the mixture?
Choices:
3 kgs
5 kgs
6 kgs
None of these
Answer: B
Question: Find the area of a parallelogram with base 24 cm and height 12 cm?
Choices:
288 cm2
279 cm2
128 cm2
297 cm2
Answer: A
Question: Arjun started a business with Rs. 20,000 and is joined afterwards by Anoop with Rs.40, 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: C
Question: If a is a positive integer, which of the following could NOT be the square of a?
Choices:
2432
5966
3415
2155
Answer: A
Question: The difference between the simple interest received from two different sources on Rs. 1400 for 3 years is Rs. 13.50. The difference between their rates of interest is?
Choices:
B)2.6%
C)0.2%
D)2.0%
E)1.3%
Answer: B
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 600 m long?
Choices:
180 Sec
178 Sec
267 Sec
276 Sec
Answer: A
Question: A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 25 percent of the pack would be outfielder cards?
Choices:
10
6
7
8
Answer: A
Question: The average of the marks of 10 students in a class is 80. If the marks of each student are doubled, find the new average?
Choices:
120
160
270
110
Answer: B
Question: What least number must be subtracted from 427398 so that remaining no.is divisible by 11
Choices:
4
6
7
8
Answer: A
Question: Water tax is increased by 20% but its consumption is decreased by 20%. Then, the increase or decrease in the expenditure of the money is :
Choices:
5% decrease
4% increase
4% decrease
None
Answer: C
Question: A shopkeeper buys mangoes at the rate of 5 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
Choices:
66 2/3 %
33 1/3 %
33 5/8 %
34 1/3 %
Answer: A
Question: For real number x, int(x) denotes integer part of x.int(x) is the largest integer less than or equal to x.int(1,2)=1,int(-2,4)=-3. Find the value of int(1/2)+int(1/2+ 100)+int(1/2+2/100)+....+int(1/2+99/100)
Choices:
150
278
277
1811
Answer: A
Question: when fair coin is tossed 9 times find the probability of getting head at least once.
Choices:
511/512
9/512
503/51
503/510
Answer: A
Question: A certain sum amount to $1400 in 2 yrs and $2000 in five years on certain fixed simple interest. In how many yrs would the amount be $2040 had it been put at the rate of interest compounded annually?
Choices:
4
3
2
1
Answer: B
Question: If x and y are positive real numbers such that x + y = 1, which of the following could be the value of 100x + 600y?
I. 90
II. 250
III. 599
Choices:
III only
I and II
I and III
II and III
Answer: D
Question: 0.35 represents what percent of 0.0007?
Choices:
0.5%
5%
500%
50000%
Answer: D
Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.57600?
Choices:
81028
27772
72900
22312
Answer: C
Question: In what time will a train 100 meters long cross an electric pole, if its speed is 360 km/hr
Choices:
1 second
3 seconds
2.5 seconds
None of these
Answer: A
Question: The tax on a commodity is diminished by 25% and its consumption increased by 13%. The effect on revenue is?
Choices:
16
10
15
14
Answer: C
Question: Two employees A and B are paid a total of Rs. 550 per week by their employer. If A is paid 120 percent of the sum paid to B, how much is B paid per week?
Choices:
Rs.250
Rs.260
Rs.270
Rs.280
Answer: A
Question: Machine A takes 100 hours to complete a certain job and starts that job at 7AM. After two hour of working alone, machine A is joined by machine B and together they complete the job at 12PM. How long would it have taken machine B to complete the jobif it had worked alone for the entire job?
Choices:
10.98
18.07
45.01
35.09
Answer: B
Question: A certain university will select 2 of 6 candidates eligible to fill a position in the mathematics department and 3 of 5 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
Choices:
70
150
165
315
Answer: B
Question: If 0 < L < Y, L is an odd number and Y is a prime number, which of the following can be the value of L + Y ?
Choices:
13.
17.
10.
7.
Answer: C
Question: A sells a bicycle to B at a profit of 60% and B sells it to C at a loss of 60%. Find the resultant profit or loss.
Choices:
0%
-5%
6%
-36%
Answer: D
Question: An amount of Rs.2,000 is to be distributed amongst P, Q, R and S such that “P” gets twice as that of “Q” and “S” gets four times as that of “R”. If “Q” and “R” are to receive equal amount, what is the difference between the amounts received by S and P?
Choices:
268
269
500
6971
Answer: C
Question: Pascal has 96 miles remaining to complete his cycling trip. If he reduced his current speed by 4 miles per hour, the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50%. What is his current speed Z?
Choices:
8
10
12
16
Answer: A
Question: A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Choices:
52 kmph
108 kmph
100 kmph
98 kmph
Answer: B
Question: For some integer y, y^2 - 5 is divisible by all of the following EXCEPT
Choices:
30
31
38
41
Answer: A
Question: A searchlight on top of the watchtower makes 2 revolutions per minute. What is the probability that a man appearing near the tower will stay in the dark for at least 5 seconds?
Choices:
5/6
7/12
11/12
11/15
Answer: A
Question: If t and y are different prime numbers less than ten, what must be true about the sum of t and y?
Choices:
the sum is odd
the sum is less than ten
the sum is greater than ten
the sum is less than 13
Answer: D
Question: The height of the wall is 4 times its width and length of the wall is 3 times its height .if the volume of the wall be 10368 cu.m.its width is
Choices:
5m
6m
7m
8m
Answer: B
Question: A military garrison in a wild frontier has 500 men who have provisions to last 26 weeks. At the end of 6 weeks they are joined by another 300 men. How long will the provisions last?
Choices:
12 1/3
11 3/3
12 1/2
12 3/4
Answer: C
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Choices:
1000
1837
3799
3786
Answer: A
Question: A family has two children. find the probability that both the children are girls given that at least
one of them is a girl?
Choices:
1by3
3/5
3/7
3/11
Answer: A
Question: There are 11 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?
Choices:
720
1,060
1,520
1980 committees
Answer: D
Question: Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 25 hours respectively. The ratio of their speeds is
Choices:
4:2
3:5
5:3
4:6
Answer: C
Question: What is the greatest possible (straight line) distance, between any two points on a hemisphere of radius 6?
Choices:
1
π/2
2
12
Answer: D
Question: A sum was put at simple interest at a certain rate for 6 years Had it been put at 4% higher rate, it would have fetched 144 more. Find the sum.
Choices:
600
700
800
900
Answer: A
Question: A bus travel 5/7 of its speed covers 42 km in 1 hr 40 min48 sec. What is theactual speed of the bus ?
Choices:
35 km/hr
42 km/hr
46 km/hr
55 km/hr
Answer: A
Question: Avg cost of 5 pens and 4 pencils isRs. 36.The avg cost of 5 pens and 9 pencils is Rs.56.Find the total cost of 25 pens and 25 pencils?
Choices:
90
100
110
120
Answer: B
Question: The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
4
6
7
9
Answer: A
Question: Three coins are tossed. Find the probability of at least 1 head and 1 tail ?
Choices:
1/4
3/4
7/8
1/8
Answer: B
Question: Calculate the value of 5.11 x 10^8 ?
Choices:
511000000
511000
51100000
51100
Answer: A
Question: The ratio of two quantities is 5 to 6. If each of the quantities is increased by 15, what is the ratio of these 2 new quantities?
Choices:
25:27
15:16
20:21
It cannot be determined from the information given
Answer: D
Question: In how many ways a committee, Consisting of 3 men and 5 women can be formed from 8 men and 10 women?
Choices:
86400
11760
14112
14720
Answer: C
Question: A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron
weighs 8g/ cm^3 , then the weight of the pipe is
Choices:
5.696 kg
3.796 kg
3.696 kg
3.996 kg
Answer: C
Question: Mario and Nina each have a bag of marbles, each of which contains 10 blue marbles, 10 red marbles, an 10 white marbles. If Mario and Nina each select one marble from their respective bags, what is the probability that either Mario or Nina select a red marble?
Choices:
2/9
1/4
1/8
1/16
Answer: A
Question: John tossed a fair coin 5 times. What is the probability that the coin landed heads up exactly twice?
Choices:
0.156
0.35
0.456
0.555
Answer: A
Question: The bankers discount and the true discount of a sum at 20% per annum simple interest for the same time are Rs.200 and Rs.150 respectively. What is the sum and the time?
Choices:
Sum = Rs.600 and Time = 1.6 years
Sum = Rs.400 and Time = 1.6 years
Sum = Rs.600 and Time = 3 years
None of these
Answer: A
Question: P and Q had the same number of candies. P gave Q 16 candies so that now Q has five times as many candies as P has. How many candies does Q have now?
Choices:
30
35
40
45
Answer: C
Question: The average weight of 8 persons increases by 3.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ?
Choices:
65 kg
55 kg
85 kg
93 kg
Answer: D
Question: D and E are two points respectively on sides AB and AC of triangle ABC such that DE is parallel to BC. If the ratio of area of triangle ADE to that of the trapezium DECB is 144:25 and DE=13 cm, then find the length of BC.
Choices:
5
14
11
15
Answer: A
Question: 0.99999999/1.0001−0.99999991/1.0003
Choices:
3*10^(-8)
3*10^(-4)
2*10^(-4)
10^(-4)
Answer: C
Question: The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. What is the present worth?
Choices:
Rs. 600
Rs. 400
Rs. 300
None of these
Answer: A
Question: In a 120 member association consisting of men and women, exactly 20% of men and exactly 25 % women are homeowners. What is the least number of members who are homeowners?
Choices:
47
25
43
41
Answer: B
Question: Two pipes A and B can separately fill a tank in 12 and 15 minutes respectively. A third pipe C can drain off 45 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank?
Choices:
540
287
278
191
Answer: A
Question: John and Amanda stand at opposite ends of a straight road and start running towards each other at the same moment. Their rates are randomly selected in advance so that John runs at a constant rate of 2, 3, 4, or 5 miles per hour and Amanda runs at a constant rate of 4, 5, 6, or 7 miles per hour. What is the probability that John has traveled farther than Amanda by the time they meet?
Choices:
1/16
3/8
1/2
1/4
Answer: A
Question: Oranges are bought at 7 for Rs.6. At what rate per hundred must they be sold to gain 33%?
Choices:
68
95
114
125
Answer: C
Question: If a certain sample of data has a mean of 20.0 and a standard deviation of 2.5, which of the following values is more than 2.5 standard deviations from the mean?
Choices:
13.5
17.0
23.5
12.0
Answer: D
Question: The traffic lights at 3 different roads change after every 12 sec, 72 sec, 108 sec respectively. If they all change simultaneously at 9:15 AM then at what time will they again change simultaneously.
Choices:
9:18:36
10:15:24
9:54:12
10:01:20
Answer: A
Question: If the ratio of a to b is 11 to 3 and the ratio of b to c is 1 to 5, what is the ratio of a to c?
Choices:
11/15
2/5
4/5
7/6
Answer: A
Question: The face value of a share is Rs 100. It is sold at a discount of Rs 5. How many such shares can be bought by investing Rs 38,000?
Choices:
380
420
400
480
Answer: C
Question: If a traveller was offered 5 destinations in asia and 11 destinations in europe and asked to chose utmost 3 destinations in asia and overall a 11 destinations. How many ways can he travel
Choices:
2256 ways
2456 ways
2556 ways
2156 ways
Answer: A
Question: Each term of a certain sequence is 4 less than the previous term. The first term of this sequence is 19. If the sum of the first n terms of the sequence is n, what is the value of positive integer n?
Choices:
13
15
19
47
Answer: B
Question: You have a bag of 9 letters: 3 Xs, 3 Ys and 3 Zs. You are given a box divided into 3 rows and 3 columns for a total of 9 areas. How many Q different ways can you place one letter into each area such that there are no rows or columns with 2 or more of the same letter?
Choices:
6
9
12
18
Answer: C
Question: John and Peter are among the eight players a basketball coach can choose from to field a five-player team. If all five players are chosen at random, what is the probability of choosing a team that includes John and Peter?
Choices:
2/7
2/9
5/14
8/21
Answer: C
Question: Randy can rebuild an automobile engine in b hours. Alvin can rebuild the same engine in a hours. If Randy and Alvin work together at their respective rates to rebuild the engine, which of the following represents the portion of the job that Randy will not have to complete?
Choices:
(a-b)/(a+b)
b/(b+a)
a/(a+b)
b/(a-b)
Answer: B
Question: A train ride from Two P to Town Q costs $6.35 more than does a bus ride from Town P to Town Q. Together, the cost of one train ride and one bus ride is $9.85. What is the cost of a bus ride from Town P to Town Q?
Choices:
$1.75
$4.10
$4.70
$8.20
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:
301
302
303
None
Answer: A
Question: How many seconds will a 500 m long train take to cros a man walking with a speed of 3 kmph in the direction of the moving train if the speed of the train is 63 kmph
Choices:
30
40
45
50
Answer: A
Question: If there are Six periods in each working day of a school, In how many ways can one arrange 5 subjects such that each subject is allowed at least one period?
Choices:
3600
2791
1817
1911
Answer: A
Question: If 5√5 x 5^3 + 5^-3/2 = 5 ^(a + 2), then the value of a is:
Choices:
1
2
3
4
Answer: A
Question: The diagonals of a rhombus are 10 cm and 12 cm. Find its area?
Choices:
60
150
123
117
Answer: A
Question: A and B start a business with investments of Rs.5000 and Rs.4500 respectively.After 4 months,A takes out half of his capital.After two more months,B takes out one-third of his capital while C joins them with a capital of Rs.7000.At the end of a year,they earn a profit of Rs.5080.Find the share of each member in the profit.
Choices:
A - Rs.1600,B - Rs.1800,C - Rs.1680
A - Rs.1800,B - Rs.1500,C - Rs.1780
A - Rs.1680,B - Rs.1600,C - Rs.1800
None of these
Answer: A
Question: What is the least number should be added to 1100, so the sum of the number is completely divisible by 23?
Choices:
2
5
4
8
Answer: C
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Choices:
50
99
288
12
Answer: A
Question: If d<0, which of the following represents a positive number?
Choices:
|d|d
|d|/d
-d|d|
d/ |d|
Answer: C
Question: A circular mat with diameter 18 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
Choices:
3/5
1/2
3/8
5/6
Answer: C
Question: A relay has a series of 5 circuits in a line. The even-numbered circuits are control circuits; the odd are buffer circuits. If both a control circuit and the buffer circuit immediately following it both fail in that order, then the relay fails. The probability of circuit one failing is 3/8; circuit two, 7/8; circuit three, 3/10; circuit four, 3/4; and circuit five, 2/5 .What is the probability that the relay fails?
Choices:
3/10
387/800
35/80
497/800
Answer: B
Question: If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 24 days, then C alone can do it in?
Choices:
7
8
9
6
Answer: B
Question: If the price of an article went up by 20%, then by what percent should it be brought down to bring it back to its original price?
Choices:
16 2/3%
16 8/3%
17 2/3%
16 2/1%
Answer: A
Question: Both Robert and Alice leave from the same location at 6:00 a.m. driving in the same direction, but in separate cars. Robert drives 30 miles per hour while Alice drives 40 miles per hour. After 6 hours, Alice’s car stops. At what time will Robert’s car reach Alice’s car?
Choices:
2 p.m.
4 p.m.
8 p.m.
9 p.m.
Answer: A
Question: a merchant sold an article at a loss of 12%,. if the selling price had been increased by $50 the merchant would have made a profit of 8%. what is the cost price of the article?
Choices:
$500
$510
$565
$520
Answer: A
Question: Last year 26 members of a certain club traveled to England, 26 members traveled to France, and 32 members traveled to Italy. Last year 12 members of the club traveled to both England and France, 6 members traveled to both England and Italy, and 0 members traveled to both France and Italy. How many members of the club traveled to at least one of these three countries last year?
Choices:
67
71
66
79
Answer: C
Question: A glass was filled with 25 ounces of water, and 0.04 ounce of the water evaporated each day during a 10-day period. What percent of the original amount of water evaporated during this period?
Choices:
0.04%
0.4%
1.6%
20%
Answer: C
Question: How long does a train 110 m long running at the speed of 36 km/hr takes to cross a bridge 132 m length?
Choices:
12.1 sec
24.2 sec
16.8 sec
14.9 sec
Answer: B
Question: The wheel of a motorcycle 70cm in diameter makes 40 revolutions in every 10sec.What is the speed of motorcycle n km/hr?
Choices:
31.68
31.62
31.61
31.67
Answer: A
Question: On dividing 15968 by a certain number, the quotient is 89 and the remainder is 37. Find the divisor.
Choices:
179
199
169
None of them
Answer: A
Question: A garrison of 500 persons had provisions for 27 days. After 3 days a reinforcement of 300 persons arrived. For how many more days will the remaining food last now?
Choices:
16 days
14 days
15 days
None of these
Answer: C
Question: A business executive and his client are charging their dinner tab on the executive's expense account.The company will only allow them to spend a total of 75$ for the meal.Assuming that they will pay 7% in sales tax for the meal and leave a 15% tip,what is the most their food can cost?
Choices:
50.63$
60.95$
52.15$
53.15$
Answer: B
Question: A highway is to be divided into 3 lanes. For this purpose, two yellow stripes are painted so that stripes divide the highway into 3 lanes. If 2 gallons of paint cover an area of 3P square feet of highway, how many gallons of paint are needed to paint two stripes x inches wide on a stretch of highway m miles long? (1 mile = 5280 feet and 1 feet = 12 inches)
Choices:
880mx/P
880mx/3P
1760mx/3P
1760P/3mx
Answer: C
Question: A train 330 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
6
7
18
9
Answer: C
Question: What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?
Choices:
500
299
2766
2912
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Choices:
1/455
1/429
1/876
1/429
Answer: A
Question: r=4^(n+2), then in terms of r, 9^n=
Choices:
r^2/9
r^2/256
r/3
r
Answer: B
Question: How many positive integers Q between 200 and 300 (both inclusive) are not divisible by 2, 3 or 5?
Choices:
16
75
24
26
Answer: D
Question: Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:
Choices:
100/3%
35%
44%
None of these
Answer: C
Question: In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:
Choices:
3
4
5
1
Answer: D
Question: Three coins are tossed. What is the probability of getting at most two tails?
Choices:
6/7
7/8
25
5/1
Answer: B
Question: At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 38 years. What is the age of Deepak at present?
Choices:
15 years
66 years
24 years
55 years
Answer: C
Question: A can do a piece of work in 20 days and B can do it in 30 days and C can do it 10 days. They started the work together and A leaves after 2 days and C leaves after 4 days from the beginning. How long will work lost?
Choices:
16
25
14
15
Answer: D
Question: Two trains running in opposite directions cross a man standing on the platform in 20 seconds and 18 seconds respectively and they cross each other in 19 seconds. The ratio of their speeds is:
Choices:
1 : 1
3 : 8
3 : 25
3 : 4
Answer: A
Question: Find the value of 72519 x 9999 = m?
Choices:
45461743
24117456
725117481
45541177
Answer: C
Question: A man invested Rs. 14,400 in Rs. 100 shares of a company at 20 % premium . If the company declares 5% dividend at the end of the year , then how much does he get ?
Choices:
600
650
700
750
Answer: A
Question: A trader sells 75 meters of cloth for Rs. 4950 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
Choices:
51
90
42
22
Answer: A
Question: Molly is rolling a number cube with faces numbered 1 to 6 repeatedly. When she receives a 2, she will stop rolling the cube. What is the probability that Molly will roll the die less than 2 times before stopping?
Choices:
1/6
25/216
91/216
27/128
Answer: A
Question: There are 11 boys and 10 girls in a class. If three students are selected at random, in how many ways that 3 girl & 2 boys are selected ?
Choices:
6600
6780
1976
2448
Answer: A
Question: What is the sum of the different positive prime factors of 380?
Choices:
10
15
17
26
Answer: D
Question: If the population of a certain country increases at the rate of 1 person every 60 seconds, by how many persons does the population increase in 2 Hours?
Choices:
120
100
150
140
Answer: A
Question: Reena and Shaloo are partners in a business, Reena invests Rs, 35,000 for 8 months and Shaloo invests Rs. 42,000 for 10 months, out of a profit of Rs. 31,570, Reena's share is ?
Choices:
12628
22812
12727
11922
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:
178 m
186 m
168 m
150 m
Answer: D
Question: A four-character password consists of one letter of the alphabet and three different digits between 1 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
26,208
37,440
52,000
Answer: B
Question: Factor | Percent of Respondents |
User-friendly | 56% |
Fast response time | 48% |
Bargain prices | 42% |
The table gives three factors to be considered when choosing an Internet service provider and the percent of the 1,100 respondents to a survey who cited that factor as important. If 30 percent of the respondents cited both “user-friendly” and “fast response time,” what is the maximum possible number of respondents who cited “bargain prices,” but neither “user-friendly” nor “fast response time?”
Choices:
286
360
384
420
Answer: A
Question: A type of extra-large SUV averages 12.2 miles per gallon (mpg) on the highway, but only 7.6 mpg in the city. What is the maximum distance, in miles, that this SUV could be driven on 25 gallons of gasoline?
Choices:
284.6
300
305
312
Answer: C
Question: Square RSTU shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for T to be in the position where R is now shown. The number of degrees through which RSTU is rotated is
Choices:
180 degree
225 degree
270 degree
315 degree
Answer: A
Question: A man swims downstream 35 km and upstream 20 km taking 5 hours each time, what is the speed of the man in still water?
Choices:
5.5
5.2
4.6
9.7
Answer: A
Question: The ratio of number of students studying Arts, Commerce and Science in a College is 3 : 7 :8. What is the new ratio of the number of students studying Arts, Commerce and Science respectively if there is an increase of 20%, 40% and 25% in the number of students studying Arts, Commerce and Science?
Choices:
18 : 49 : 50
4 : 8 : 5
32 : 35 : 25
None of these
Answer: A
Question: For an integer x greater than 1, x* denotes the product of all the integers from 1 to x inclusive. How many prime numbers are there between 7*+2 and 7*+7, inclusive ?
Choices:
0
2
3
4
Answer: A
Question: An investment compounds annually at an interest rate of 33.34% What is the smallest investment period by which time the investment will more than triple in value?
Choices:
2
3
5
4
Answer: D
Question: In the x- y plane, there are 4 points (0,0), (0,4), (9,4), and (9,0). If these 4 points makes a rectangle, what is the probability that x+y<4?
Choices:
3/5
3/7
4/7
2/9
Answer: D
Question: If (m-8) is a factor of m^2-sm-24, then s=
Choices:
5
6
11
16
Answer: A
Question: A voltage will influence current only if the circuit is:
Choices:
7
6
28
22
Answer: D
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions?
Choices:
704 m
179 m
127 m
297 m
Answer: A
Question: By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
Choices:
25%
95%
75%
45%
Answer: A
Question: A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:
Choices:
2/13
1/26
2/26
1/52
Answer: B
Question: A sales staff is composed of a sales manager and two sales people, all of whom earn commission as a percentage of sales. Each sales person earns 5% commission on sales. In a given week, the sales staff earned a total of $1,500 in commissions on $5,000 worth of sales. What commission rate did the sales manager earn during that week?
Choices:
20%
35%
40%
45%
Answer: A
Question: A certain lab experiments with white and brown mice only. In one experiment, 2/5 of the mice are brown. If there are 12 white mice in the experiment, how many mice in total are in the experiment?
Choices:
20
15
18
16
Answer: A
Question: The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
Choices:
9400
9600
9800
None
Answer: B
Question: What will come in place of the x in the following Number series? 46080, 3840, 384, x
Choices:
48
4
5
6
Answer: A
Question: An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
Choices:
100/3%
16%
16 2/3%
18%
Answer: C
Question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
Choices:
176 gallons
120 gallons
289 gallons
976 gallons
Answer: B
Question: The food in a camp lasts for 20 men for 50 days. If twenty more men join, how many days will the food last?
Choices:
25 days
28 days
16 days
27 days
Answer: A
Question: What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?
Choices:
Rs.500
Rs.550
Rs.555
Rs.625
Answer: A
Question: How many even number in the range between 25 to 100 inclusive are not divisible by 3
Choices:
27
31
33
46
Answer: A
Question: A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
6
7
8
9
Answer: A
Question: Express 25 mps in kmph?
Choices:
76
90
87
12
Answer: B
Question: A woman begins bicycling with a pace of 10 kmph and she increases her pace every two hours by 2 kmph. She rests from bicycling 2 hours after her pace reaches her maximum speed of 14 kmph. She does a cool-down for the final 8 km at a pace of 2 kmph. How far in km did she bicycle?
Choices:
100 km
106 km
116 km
126 km
Answer: A
Question: How many multiples of 2 are there between 1 and 58, exclusive?
Choices:
22
24
26
28
Answer: D
Question: In a series of five football matches between Germany and Argentina , the probability of Germany winning a match is 1/3 and the probability that the match ends in a draw is 1/4. If a win gets the team 2 points, a draw 1 point and a loss 0 Points, What is the probability that Germany will end up in 5 draws in the series?
Choices:
125/864
1/25
1/1024
1/5
Answer: C
Question: Number of ways in which the letters of word GALE can be arranged with vowels in alphabetical order, is
Choices:
240
12
480
None of these
Answer: B
Question: Anand and Deepak started a business investing Rs. 2250 and Rs. 3200 respectively. Out of a total profit of Rs. 1380, Deepak's share is:
Choices:
810.27
815.21
688.12
267.1
Answer: A
Question: Evaluate: |4 - 8(3 - 12)| - |5 - 11| =
Choices:
50
60
70
80
Answer: C
Question: Jack and Jill work at a hospital with 6 other workers. For an internal review, 2 of the 8 workers will be randomly chosen to be interviewed. What is the probability that Jack and Jill will both be chosen?
Choices:
1/4
1/15
1/28
2/3
Answer: C
Question: If six persons sit in a row, then the probability that three particular persons are always together is?
Choices:
1/1
1/5
1/9
1/2
Answer: B
Question: Richard has to paint a mural with seven horizontal stripes. He only has enough paint for four brown stripes, four red stripes, four blue stripes, four white stripes, four black stripes, and four yellow stripes. If his patron wants at most two different colors in the mural, how many different ways can he paint the wall?
Choices:
350
1050
2,520
5,040
Answer: B
Question: Fom the integer n, if n*n*n is odd, then what is true from below options?
Choices:
n is odd and n*n is even
n is even
n*n is odd
n*n is odd
Answer: A
Question: A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 85. How many points altogether did the team score?
Choices:
672
652
642
670
Answer: D
Question: Roger can read a book in k minutes. What part of the book can he read in 4 minutes? (k>8)
Choices:
8+k
k/8
(k+ 8)/k
(k-8) / k
Answer: A
Question: A person goes to a bank and Quotes x Rs and y paise on a cheque. The cashier misreads it and gives y Rs and x paise. The man comes out and donates 5 paise to a begger. Now, the man has exactly double the amount he has quoted on the cheque. .
Choices:
31 rs 63 paise
31 rs 33 paise
31 rs 3 paise
33 rs 63 paise
Answer: A
Question: Two dice are tossed. The probability that the total score is a prime number is?
Choices:
5/12
7/9
1/6
1/12
Answer: A
Question: An art gallery owner is hanging paintings for a new show. Of the nine paintings she has to choose from, she can only hang three on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?
Choices:
30
64
60480
216
Answer: C
Question: 1=5,2=25,3=253,4=254,5=?
Choices:
1
345
445
235
Answer: A
Question: A bag is filled with pennies and nickels in the ratio of 4 to 2. There are 30 nickles in the bag, how many coins are there in that bag?
Choices:
90
65
70
80
Answer: A
Question: If 70% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
Choices:
18:23
17:19
20:21
2:3
Answer: C
Question: C invested $600 in a business and D invested $400 in a business. At the end of the year they got $2000 as the profit. Find their share?
Choices:
$900,$1000
$700,$1100
$1200,$800
$600,$1000
Answer: C
Question: With both valves open, the pool will be filled with water in 48 minutes. The first valve alone would fill the pool in 2 hours. If the second valve emits 50 cubic meters of water more than the first every minute, then what is the capacity T of the pool?
Choices:
10500 cubic meters
11750 cubic meters
12000 cubic meters
12500 cubic meters
Answer: C
Question: Can you find a six digit number under 5 lakh such that the sum of it's digits is 43 ?
Choices:
499449
399826
788392
622975
Answer: A
Question: In a certain deck of cards, each card has a positive integer written on it. In a multiplication game, a child draws a card and multiples the integer on the card by the next larger integer. If each possible product is between 26 and 200, then the least and greatest integers on the card could be
Choices:
3 and 20
5 and 13
4 and 14
5 and 14
Answer: B
Question: A and B undertake to do a piece of work for Rs. 1200. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of C.
Choices:
150
750
800
None of them
Answer: A
Question: What is the present worth of Rs. 121 due in 2 years at 5% simple interest per annum
Choices:
110
130
140
None of these
Answer: A
Question: If |x-12| = 100, what is the sum of all the possible values of x?
Choices:
-22
24
36
42
Answer: B
Question: There are two positive numbers in the ratio 5:8. If the larger number exceeds the smaller by 45, then find the smaller number?
Choices:
66
77
88
75
Answer: D
Question: A can be divided by 11 with no remainder. Which of the following expressions could be divided by 11 leaving a remainder of 1?
Choices:
A-12.
A-9.
A-10.
A-13.
Answer: C
Question: Find out the number of ways in which 6 rings of different types can be worn in 3 fingers?
Choices:
720
125
729
None of these
Answer: C
Question: The winning relay team in a high school sports competition clocked 48 minutes for a distance of 13.2 km. Its runners A, B, C and D maintained speeds of 17 kmph, 18 kmph, 19 kmph, and 20 kmph respectively. What is the ratio of the time taken by B to than taken by D?
Choices:
5:17
9:8
10:9
None of these
Answer: C
Question: A train of length 560 metres takes 90 seconds to cross a tunnel of length 340 metres. What is the speed of the train in km/hr?
Choices:
36 km/hr.
30 km/hr.
48 km/hr.
None
Answer: A
Question: In the coordinate plane, points (x, 5) and (9, y) are on line k. If line k passes through the origin and has slope 5/9, then x - y =
Choices:
4
5
8
7
Answer: A
Question: A bus can hold 120 passengers. If there are 12 rows of seats on the bus, how many seats are in each row?
Choices:
10
45
8
9
Answer: A
Question: A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
Choices:
2400
2406
2403
2401
Answer: A
Question: A typist can type 120 words in 100 seconds. At that rate, how many seconds would it take her to type 258 words?
Choices:
210
215
220
225
Answer: B
Question: A bag contains 12 red jellybeans and 12 blue jellybeans. If 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability that all 3 jellybeans removed from the bag are blue?
Choices:
2/19
1/8
3/20
3/10
Answer: D
Question: If A lends Rs.3150 to B at 8% per annum and B lends the same sum to C at 12.5% per annum then the gain of B in a period of 2 years is?
Choices:
295
283.5
245
200
Answer: B
Question: In how many ways can the digit of the number 2233558888 be arranged so that the odd digits are placed in the even positions?
Choices:
400
430
450
480
Answer: C
Question: A solution of X pounds of water and sugar is boiled until 20% of the water content evaporates. Originally s% of sugar was present in the solution. After evaporation, what percentage of the solution is sugar?
Choices:
80s/(1-s)
75s/(1-s)
100s/(80-0.2s)
100s/(80+0.2s)
Answer: D
Question: On a certain road 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 20% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on the road exceed the posted speed limit?
Choices:
12.5%
15%
22%
30%
Answer: A
Question: At the opening of a trading day at a certain stock exchange, the price per share of stock M was $25. If the price per share of stock M was $28 at the closing of the day, what was the percent increase in the price per share of stock M for that day?
Choices:
5.9%
12%
12.5%
23.6%
Answer: B
Question: From the integer n, if n*n*n*n is even, then what is true from below options?
Choices:
n*n is even
n is odd and n*n is even
n is even
None
Answer: C
Question: What is the sum of the greatest common factor and the lowest common multiple of 16 and 36?
Choices:
152
148
123
412
Answer: B
Question: John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 4 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?
Choices:
4y
6y
8y
9y
Answer: A
Question: For one toss of a certain coin, the probability that the outcome is heads is 0.6. If this coin is tossed 5 times, which of the following is the probability that the outcome will be heads at least 4 times?
Choices:
2(0.6)^4
3(0.6)^4
4(0.6)^4(0.4) + (0.6)^5
5(0.6)^4(0.4) + (0.6)^5
Answer: D
Question: Three numbers are in the ratio 5 : 4 : 3 and their average is 360. The largest number is :
Choices:
450
27
21
22
Answer: A
Question: A radio station has to choose 6 days of the seven in a week to broadcast a certain program, and that set will repeat each week. The program can be broadcast equally on any of the seven weekdays —- weekdays vs. weekends don’t matter at all —- nor does it matter whether the days the program airs are adjacent or not. Absolutely any 6 of the seven weekdays can be chosen. How many different 6-day combinations of the seven weekdays can be constructed?
Choices:
7
21
35
56
Answer: A
Question: The positive numbers w, x, y, and z are such that x is 20 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?
Choices:
15.2%
20.0%
23.2%
24.8%
Answer: A
Question: A seller sells his apple at CP but uses a weight of 800 gm instead of kg weight. What is his profit %?
Choices:
23%
25%
30%
32%
Answer: B
Question: Today is Thursday. The day after 59 days will be?
Choices:
Tuesday
Saturday
Sunday
wednesday
Answer: C
Question: M and B are integers. The expression (M+1)(B+1) is even. What can be said about M and B?
Choices:
At least one of them is even.
At least one of them is odd.
They are both odd.
Nothing can be said surly on M and B
Answer: B
Question: A shirt goes on sale for 80% of its original price. One week later, the sale price is marked down 10%. The final price is what percent of the original price?
Choices:
72%
52%
50%
28%
Answer: A
Question: Sakshi can do a piece of work in 12 days. Tanya is 20% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is?
Choices:
10
14
16
18
Answer: A
Question: The LCM and HCF of two numbers are 100000 and 10000 respectively. Find the larger of the two numbers if their sum is 110000.
Choices:
100000
577
577
767
Answer: A
Question: How many words can be formed by using all letters of the word ‘PENCIL’ ?
Choices:
600
720
900
1060
Answer: B
Question: if log 2 = 0.30103 and log 3 = 0.4771, find the number of digits in (648)5
Choices:
14.05
277
288
222
Answer: A
Question: In an university college, the ratio of the number of boys and girls is 5 : 9. If the percentage increase in the number of boys and girls be 20% and 40% respectively. What will be the new ratio ?
Choices:
12 : 17
15 : 23
10 : 21
None of these
Answer: C
Question: John was thrice as old as Tom 6 years ago. John will be 3/2 times as old as Tom in 6 years. How old is Tom today?
Choices:
8
10
12
14
Answer: B
Question: A sum of money amounts to Rs 9800 after 5 years and Rs 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is
Choices:
10%
11%
12%
13%
Answer: C