Online Aptitude Test - Aptitude Test - Random



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Instruction:

  • This is a FREE online test. DO NOT pay money to anyone to attend this test.
  • Total number of questions : 20.
  • Time alloted : 30 minutes.
  • Each question carry 1 mark, no negative marks.
  • DO NOT refresh the page.
  • All the best :-).


Direction (for Q.No. 1):
Find the odd man out.
1.

396, 462, 572, 427, 671, 264

A.
396
B.
427
C.
671
D.
264

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

In each number except 427, the middle digit is the sum of other two.

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2.

A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?

A.
Rs. 35
B.
Rs. 245
C.
Rs. 350
D.
Cannot be determined
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

We need to know the S.I., principal and time to find the rate.

Since the principal is not given, so data is inadequate.

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Direction (for Q.No. 3):

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

3.

What is the speed of the train?

I. 

The train crosses a tree in 13 seconds.

II. 

The train crosses a platform of length 250 metres in 27 seconds.

 III. 

The train crosses another train running in the same direction in 32 seconds.

A.
I and II only
B.
II and III only
C.
I and III only
D.
Any two of the three
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Let the speed of the train be x metres/sec.

Time taken to cross a tree = Length of the train
Speed of the train

Time taken to cross a platform = (Length of the train + Length of the Platform)
Speed of the train

I gives, 13 = l     13x.
x

II gives 27 = l + 250
x

13x + 250 = 27
x

x = 125 m/sec.
7

Thus I and II give the speed of the train.

The correct answer is (A.)

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4.

0.002 x 0.5 = ?

A.
0.0001
B.
0.001
C.
0.01
D.
0.1

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

2 x 5 = 10.

Sum of decimal places = 4

0.002 x 0.5 = 0.001

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5.

A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :

A.
4 days
B.
6 days
C.
8 days
D.
18 days

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Ratio of rates of working of A and B = 2 : 1.

So, ratio of times taken = 1 : 2.

B's 1 day's work = 1 .
12

Therefore A's 1 day's work = 1 ; (2 times of B's work)
6

(A + B)'s 1 day's work = ( 1 + 1 ) = 3 = 1 .
6 12 12 4

So, A and B together can finish the work in 4 days.

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6.

Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

A.
3
20
B.
29
34
C.
47
100
D.
13
102

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Let S be the sample space.

Then, n(S) = 52C2 = (52 x 51) = 1326.
(2 x 1)

Let E = event of getting 1 spade and 1 heart.

n(E) = number of ways of choosing 1 spade out of 13 and 1 heart out of 13
= (13C1 x 13C1)
= (13 x 13)
= 169.

P(E) = n(E) = 169 = 13 .
n(S) 1326 102

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7.

The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

A.
3
B.
4
C.
9
D.
Cannot be determined
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Let the ten's digit be x and unit's digit be y.

Then, (10x + y) - (10y + x) = 36

9(x - y) = 36

x - y = 4.

Video Explanation: https://youtu.be/7QOJjAmGVx0

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8.

Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.

A.
3
B.
10
C.
17
D.
20

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Let the number be x.

Then, x + 17 = 60
x

x2 + 17x - 60 = 0

(x + 20)(x - 3) = 0

x = 3.

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9.

4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?

A.
4
B.
8
C.
12
D.
16

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Let the required number of bottles be x.

More weavers, More mats (Direct Proportion)

More days, More mats (Direct Proportion)

Wavers 4 : 8 :: 4 : x
Days 4 : 8

4 x 4 x x = 8 x 8 x 4

x = (8 x 8 x 4)
(4 x 4)

x = 16.

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10.

The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.

A.
47.55 kg
B.
48 kg
C.
48.55 kg
D.
49.25 kg

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Required average
= 50.25 x 16 + 45.15 x 8
16 + 8
= 804 + 361.20
24
= 1165.20
24
= 48.55

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11.

A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

A.
2 : 1
B.
3 : 2
C.
8 : 3
D.
Cannot be determined
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Let the man's rate upstream be x kmph and that downstream be y kmph.

Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.

x x 8 4 = (y x 4)
5

44 x =4y
5

y = 11 x.
5

Required ratio = y + x : y - x
2 2

   = 16x x 1 : 6x x 1
5 2 5 2

   = 8 : 3
5 5

   = 8 : 3.

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12.

At what time between 5.30 and 6 will the hands of a clock be at right angles?

A.
43 5 min. past 5
11
B.
43 7 min. past 5
11
C.
40 min. past 5
D.
45 min. past 5

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

At 5 o'clock, the hands are 25 min. spaces apart.

To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces.

55 min. spaces are gained in 60 min.

40 min. spaces are gained in 60 x 40 min = 43 7 min.
55 11

Required time = 43 7 min. past 5.
11

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13.

The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

A.
25% increase
B.
50% increase
C.
50% decrease
D.
75% decrease

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Let original length = x and original breadth = y.

Original area = xy.

New length = x .
2

New breadth = 3y.

New area = x x 3y = 3 xy.
2 2

Increase % = 1 xy x 1 x 100 % = 50%.
2 xy

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Direction (for Q.No. 14):

Each of these questions is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the given question.

14.

8 men and 14 women are working together in a field. After working for 3 days, 5 men and 8 women leave the work. How many more days will be required to complete the work?

I. 

19 men and 12 women together can complete the work in 18 days.

II. 

16 men can complete two-third of the work in 16 days.

 III. 

In 1 day, the work done by three men in equal to the work done by four women.

A.
I only
B.
II only
C.
III only
D.
I or II or III
E.
II or III only

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Clearly, I only gives the answer.

Similarly, II only gives the answer.

And, III only gives the answer.

Correct answer is (D).

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Direction (for Q.No. 15):

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

15.

What is the two-digit number?

I. 

The difference between the two-digit number and the number formed by interchanging the digits is 27.

II. 

The difference between the two digits is 3.

 III. 

The digit at unit's place is less than that at ten's place by 3.

A.
I and II only
B.
I and III only
C.
All I, II and III
D.
I, and either II or III
E.
Even with all I, II and III, answer cannot be give.

Your Answer: Option (Not Answered)

Correct Answer: Option E

Explanation:

Let the tens and units digit be x and y respectively.

  I. (10x + y) - (10y + x)       x - y = 3.

 II. x - y = 3.

III. x - y = 3.

Thus, even all the given three statements together do not give the answer.

Correct answer is (E).

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16.

How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

A.
5
B.
10
C.
15
D.
20

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Since each desired number is divisible by 5, so we must have 5 at the unit place. So, there is 1 way of doing it.

The tens place can now be filled by any of the remaining 5 digits (2, 3, 6, 7, 9). So, there are 5 ways of filling the tens place.

The hundreds place can now be filled by any of the remaining 4 digits. So, there are 4 ways of filling it.

Required number of numbers = (1 x 5 x 4) = 20.

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17.

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

A.
564
B.
645
C.
735
D.
756
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

We may have (3 men and 2 women) or (4 men and 1 woman) or (5 men only).

Required number of ways = (7C3 x 6C2) + (7C4 x 6C1) + (7C5)
= 7 x 6 x 5 x 6 x 5 + (7C3 x 6C1) + (7C2)
3 x 2 x 1 2 x 1
= 525 + 7 x 6 x 5 x 6 + 7 x 6
3 x 2 x 1 2 x 1
= (525 + 210 + 21)
= 756.

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Direction (for Q.Nos. 18 - 19):
Insert the missing number.
18.

10, 5, 13, 10, 16, 20, 19, (....)

A.
22
B.
40
C.
38
D.
23

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

There are two series (10, 13, 16, 19) and (5, 10, 20, 40), one increasing by 3 and the other multiplied by 2.

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19.

15, 31, 63, 127, 255, (....)

A.
513
B.
511
C.
517
D.
523

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Each number is double the preceding one plus 1.

So, the next number is (255 x 2) + 1 = 511.

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20.

Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120?

A.
Rs. 4000
B.
Rs. 4500
C.
Rs. 5500
D.
Rs. 6000

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Let investment in 12% stock be Rs. x.

Then, investment in 15% stock = Rs. (12000 - x).

12 x x + 15 x (12000 - x) = 1360.
120 125

x + 3 (12000 - x) = 1360.
10 25

5x + 72000 - 6x = 1360 x 50

x = 4000.

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