Online Aptitude Test - Aptitude Test - Random



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Instruction:

  • 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.

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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2.

A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?

A.
28  4 years
7
B.
31  5 years
7
C.
32  1 years
7
D.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Required average
= 67 x 2 + 35 x 2 + 6 x 3
2 + 2 + 3
= 134 + 70 + 18
7
= 222
7
= 31  5 years.
7

Video Explanation: https://youtu.be/OXLnoItd0MA

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Direction (for Q.No. 3):
Find out the wrong number in the given sequence of numbers.
3.

1, 2, 6, 15, 31, 56, 91

A.
31
B.
91
C.
56
D.
15

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

1, 1 + 12 = 2, 2 + 22 = 6, 6 + 32 = 15, 15 + 42 = 31, 31 + 52 = 56, 56 + 62 = 92

Last number of given series must be 92 not 91.

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4.

The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:

A.
70 km/hr
B.
75 km/hr
C.
84 km/hr
D.
87.5 km/hr

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Let the speed of two trains be 7x and 8x km/hr.

Then, 8x = 400 = 100
4

x = 100 = 12.5
8

Speed of first train = (7 x 12.5) km/hr = 87.5 km/hr.

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Direction (for Q.No. 5):

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.
5.

The towns A, B and C are on a straight line. Town C is between A and B. The distance from A to B is 100 km. How far is A from C?

I. 

The distance from A to B is 25% more than the distance from C to B.

 II. 

The distance from A to C is of the distance C to B.

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 C

Explanation:

.__________.______________________________________.
A     x    C            (100 - x)                 B       

Let AC = x km. Then, CB = (100 -x) km.


 I. AB = 125% of CB

100 = 125 x (100 - x)
100

100 - x = 100 x 100 = 80
125

x = 20 km.

AC = 20 km.

Thus, I alone gives the answer.


II. AC = 1 CB
4

x = 1 (100 - x)
4

5x = 100

x = 20.

AC = 20 km.

Thus, II alone gives the answer.

Correct answer is (C).

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6.

The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

A.
9000
B.
9400
C.
9600
D.
9800

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Greatest number of 4-digits is 9999.

L.C.M. of 15, 25, 40 and 75 is 600.

On dividing 9999 by 600, the remainder is 399.

Required number (9999 - 399) = 9600.

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Direction (for Q.Nos. 7 - 8):
Find the odd man out.
7.

10, 14, 16, 18, 21, 24, 26

A.
26
B.
24
C.
21
D.
18

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Each of the numbers except 21 is an even number.

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8.

1, 4, 9, 16, 23, 25, 36

A.
9
B.
23
C.
25
D.
36

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Each of the numbers except 23, is perfect square.

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9.

At what time between 9 and 10 o'clock will the hands of a watch be together?

A.
45 min. past 9
B.
50 min. past 9
C.
49 1 min. past 9
11
D.
48 2 min. past 9
11

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

To be together between 9 and 10 o'clock, the minute hand has to gain 45 min. spaces.

55 min. spaces gained in 60 min.

45 min. spaces are gained in 60 x 45 min or 49 1 min.
55 11

The hands are together at 49 1 min. past 9.
11

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10.

How many times are the hands of a clock at right angle in a day?

A.
22
B.
24
C.
44
D.
48

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

In 12 hours, they are at right angles 22 times.

In 24 hours, they are at right angles 44 times.

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Direction (for Q.No. 11):

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.
11.

What is the number?

I. 

The sum of the two digits is 8. The ratio of the two digits is 1 : 3.

 II. 

The product of the two digit of a number is 12. The quotient of two digits is 3.

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 C

Explanation:

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

 I. x + y = 8 and x = 1
y 3

I gives, 4y = 24       y = 6.

So, x + 6 = 8       x = 2.


II. xy = 12 and x = 3
y 1

II gives, x2 = 36       x = 6.

So, 3y = 6       y = 2.


Therefore, Either I or II alone sufficient to answer.

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Direction (for Q.No. 12):

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.

12.

What is the percent profit earned by the shopkeeper on selling the articles in his shop?

I. 

Labeled price of the articles sold was 130% of the cost price.

II. 

Cost price of each article was Rs. 550.

 III. 

A discount of 10% on labeled price was offered.

A.
Only I
B.
Only II
C.
I and III
D.
All the three are required
E.
Question cannot be answer even with information in all the three statements.

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

  I. Let C.P. be Rs. x.

Then, M.P. = 130% of x = Rs. 13x .
10

III. S.P. = 90% of M.P.

Thus, I and III give, S.P. = Rs. 90 x 13x = Rs. 117x
100 10 100

Gain = Rs. 117x - x = Rs. 17x
100 100

Thus, from I and III, gain % can be obtained.

Clearly, II is redundant.

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Direction (for Q.No. 13):

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.
13.

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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14.

The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

A.
8 : 9
B.
17 : 18
C.
21 : 22
D.
Cannot be determined

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Originally, let the number of boys and girls in the college be 7x and 8x respectively.

Their increased number is (120% of 7x) and (110% of 8x).

120 x 7x and 110 x 8x
100 100

42x and 44x
5 5

The required ratio = 42x : 44x = 21 : 22.
5 5

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15.

If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is:

A.
Rs. 20
B.
Rs. 21.81
C.
Rs. 22
D.
Rs. 18.33

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

S.I. on Rs. (110 - 10) for a certain time = Rs. 10.

S.I. on Rs. 100 for double the time = Rs. 20.

T.D. on Rs. 120 = Rs. (120 - 100) = Rs. 20.

T.D. on Rs. 110 = Rs. 20 x 110 = Rs. 18.33
120

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Direction (for Q.No. 16):
Find out the wrong number in the series.
16.

6, 12, 48, 100, 384, 768, 3072

A.
768
B.
384
C.
100
D.
48
E.
12

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Each even term of the series is obtained by multiplying the previous term by 2.

2nd term = (1st term) x 2 = 6 x 2 = 12

4th term = (3rd term) x 2 = 48 x 2 = 96.

6th term = (5th term) x 2 = 384 x 2 =768.

4th term should be 96 instead of 100.

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17.

A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:

A.
400 kg
B.
560 kg
C.
600 kg
D.
640 kg

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

By the rule of alligation, we have:

Profit on 1st part Profit on 2nd part
8% Mean Profit
14%
18%
4 6

Ration of 1st and 2nd parts = 4 : 6 = 2 : 3

Quantity of 2nd kind = 3 x 1000 kg = 600 kg.
5

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18.

A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?

A.
3.6 sec
B.
18 sec
C.
36 sec
D.
72 sec

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Speed of train relative to jogger = (45 - 9) km/hr = 36 km/hr.

   = 36 x 5 m/sec
18

   = 10 m/sec.

Distance to be covered = (240 + 120) m = 360 m.

Time taken = 360 sec = 36 sec.
10

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19.

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

A.
23 days
B.
37 days
C.
371/2
D.
40 days

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Whole work is done by A in ( 20 x 5 ) = 25 days.
4

Now, ( 1 - 4 ) i.e., 1 work is done by A and B in 3 days.
5 5

Whole work will be done by A and B in (3 x 5) = 15 days.

A's 1 day's work = 1 , (A + B)'s 1 day's work = 1 .
25 15

Therefore B's 1 day's work = ( 1 - 1 ) = 4 = 2 .
15 25 150 75

So, B alone would do the work in 75 = 37 1 days.
2 2

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20.

A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?

A.
5
B.

5 1
2

C.
6
D.
8

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

B's 10 day's work = ( 1 x 10 ) = 2 .
15 3

Remaining work = ( 1 - 2 ) = 1 .
3 3

Now, 1 work is done by A in 1 day.
18

Therefore 1 work is done by A in ( 18 x 1 ) = 6 days.
3 3

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