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 :-).


1.

A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:

A.
250
B.
276
C.
280
D.
285

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Since the month begins with a Sunday, to there will be five Sundays in the month.

Required average
= 510 x 5 + 240 x 25
30
= 8550
30
= 285

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2.

Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?

A.
16 years
B.
18 years
C.
20 years
D.
Cannot be determined
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.

Then, (6x + 6) + 4 = 11
(5x + 6) + 4 10

10(6x + 10) = 11(5x + 10)

5x = 10

x = 2.

Sagar's present age = (5x + 6) = 16 years.

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3.

The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:

A.
5 : 2
B.
7 : 3
C.
9 : 2
D.
13 : 4

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Let the ages of father and son 10 years ago be 3x and x years respectively.

Then, (3x + 10) + 10 = 2[(x + 10) + 10]

3x + 20 = 2x + 40

x = 20.

Required ratio = (3x + 10) : (x + 10) = 70 : 30 = 7 : 3.

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4.

At what angle the hands of a clock are inclined at 15 minutes past 5?

A.
58 1 °
2
B.
64°
C.
67 1 °
2
D.
72 1 °
2

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Angle traced by hour hand in 21 hrs = 360 x 21 ° = 157 1 °
4 12 4 2

Angle traced by min. hand in 15 min. = 360 x 15 ° = 90°.
60

Required angle = 157 1 ° - 90° = 67 1 °
2 2

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5.

If log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then x is equal to:

A.
1
B.
3
C.
5
D.
10

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

log10 5 + log10 (5x + 1) = log10 (x + 5) + 1

log10 5 + log10 (5x + 1) = log10 (x + 5) + log10 10

log10 [5 (5x + 1)] = log10 [10(x + 5)]

5(5x + 1) = 10(x + 5)

5x + 1 = 2x + 10

3x = 9

x = 3.

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6.

In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C:

A.
8 points
B.
10 points
C.
14 points
D.
40 points

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

A : B = 100 : 80.

A : C = 100 : 72.

B = B x A = 80 x 100 = 10 = 100 = 100 : 90.
C A C 100 72 9 90

B can give C 10 points.

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7.

Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:

A.
Rs. 1550
B.
Rs. 1650
C.
Rs. 1750
D.
Rs. 2000

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

C.I.
= Rs. 4000 x 1 + 10 2 - 4000
100
= Rs. 4000 x 11 x 11 - 4000
10 10
= Rs. 840.

Sum = Rs. 420 x 100 = Rs. 1750.
3 x 8

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8.

The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

A.
Rs. 2000
B.
Rs. 2200
C.
Rs. 2400
D.
Data inadequate

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Let C.P. be Rs. x.

Then, 1920 - x x 100 = x - 1280 x 100
x x

1920 - x = x - 1280

2x = 3200

x = 1600

Required S.P. = 125% of Rs. 1600 = Rs. 125 x 1600 = Rs 2000.
100

Video Explanation: https://youtu.be/0tTd5TwCspY

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9.

A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio:

A.
3 : 4
B.
3 : 5
C.
4 : 5
D.
16 : 15

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

For an income of Re. 1 in 9% stock at 96, investment = Rs. 96 = Rs. 32
9 3

For an income Re. 1 in 12% stock at 120, investment = Rs. 120 = Rs. 10.
12

Ratio of investments = 32 : 10 = 32 : 30 = 16 : 15.
3

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Direction (for Q.No. 10):

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

  • Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
10.

What is the average age of children in the class?

I. 

The age of the teacher is as many years as the number of children.

 II. 

Average age is increased by 1 year if the teacher's age is also included.

A.
I alone sufficient while II alone not sufficient to answer
B.
II alone sufficient while I alone not sufficient to answer
C.
Either I or II alone sufficient to answer
D.
Both I and II are not sufficient to answer
E.
Both I and II are necessary to answer

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Let there be x children.

I gives, age of teacher = x years.

II gives, average age of (x + 1) persons = (x + 1) years.

Teacher's age = (x + 1) (x + 1) - x2 = (x2 + 1 + 2x) - x2 = (1 + 2x)

Thus, teacher's age cannot be obtained.

Correct answer is (D)

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11.

A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest?

A.
3.6%
B.
4.5%
C.
5%
D.
6%
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option E

Explanation:

Let the original rate be R%. Then, new rate = (2R)%.

Note:
Here, original rate is for 1 year(s); the new rate is for only 4 months i.e. year(s).

725 x R x 1 + 362.50 x 2R x 1 = 33.50
100 100 x 3

(2175 + 725) R = 33.50 x 100 x 3

(2175 + 725) R = 10050

(2900)R = 10050

R = 10050 = 3.46
2900

Original rate = 3.46%

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12.

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?

A.
26 minutes and 18 seconds
B.
42 minutes and 36 seconds
C.
45 minutes
D.
46 minutes and 12 seconds

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

L.C.M. of 252, 308 and 198 = 2772.

So, A, B and C will again meet at the starting point in 2772 sec. i.e., 46 min. 12 sec.

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13.

Which of the following has the most number of divisors?

A.
99
B.
101
C.
176
D.
182

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

99 = 1 x 3 x 3 x 11

101 = 1 x 101

176 = 1 x 2 x 2 x 2 x 2 x 11

182 = 1 x 2 x 7 x 13

So, divisors of 99 are 1, 3, 9, 11, 33, .99

Divisors of 101 are 1 and 101

Divisors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88 and 176

Divisors of 182 are 1, 2, 7, 13, 14, 26, 91 and 182.

Hence, 176 has the most number of divisors.

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14.

The G.C.D. of 1.08, 0.36 and 0.9 is:

A.
0.03
B.
0.9
C.
0.18
D.
0.108

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Given numbers are 1.08, 0.36 and 0.90.   H.C.F. of 108, 36 and 90 is 18,

H.C.F. of given numbers = 0.18.

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15.

One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:

A.
81 min.
B.
108 min.
C.
144 min.
D.
192 min.

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Let the slower pipe alone fill the tank in x minutes.

Then, faster pipe will fill it in x minutes.
3

1 + 3 = 1
x x 36

4 = 1
x 36

x = 144 min.

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16.

(25)7.5 x (5)2.5 ÷ (125)1.5 = 5?

A.
8.5
B.
13
C.
16
D.
17.5
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Let (25)7.5 x (5)2.5 ÷ (125)1.5 = 5x.

Then, (52)7.5 x (5)2.5 = 5x
(53)1.5

5(2 x 7.5) x 52.5 = 5x
5(3 x 1.5)

515 x 52.5 = 5x
54.5

5x = 5(15 + 2.5 - 4.5)

5x = 513

x = 13.

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17.

A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:

A.
588 apples
B.
600 apples
C.
672 apples
D.
700 apples

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Suppose originally he had x apples.

Then, (100 - 40)% of x = 420.

60 x x = 420
100

x = 420 x 100   = 700.
60

Video Explanation: https://youtu.be/-Pv25Do3WwY

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18.

An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 metres of cloth?

A.
178
B.
195
C.
204
D.
488

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Le the required time be x seconds.

More metres, More time (Direct Proportion)

0.128 : 25 :: 1 : x       0.128x = 25 x 1

x = 25 = 25 x 1000
0.128 128

x = 195.31.

Required time = 195 sec (approximately).

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Direction (for Q.No. 19):

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

  • Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
19.

What is the rate of compound interest?

I. 

The principal was invested for 4 years.

 II. 

The earned interest was Rs. 1491.

A.
I alone sufficient while II alone not sufficient to answer
B.
II alone sufficient while I alone not sufficient to answer
C.
Either I or II alone sufficient to answer
D.
Both I and II are not sufficient to answer
E.
Both I and II are necessary to answer

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Let Principal = Rs. P and Rate = R% p.a. Then,

Amount = Rs. P 1 + R 4
100

C.I. = P 1 + R 4 - 1
100

P 1 + R 4 - 1 = 1491.
100

Clearly, it does not give the answer.

Correct answer is (D).

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Direction (for Q.No. 20):
Find out the wrong number in the given sequence of numbers.
20.

4, 6, 8, 9, 10, 11, 12

A.
10
B.
11
C.
12
D.
9

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Each number is a composite number except 11.

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