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 :-).


Direction (for Q.No. 1):

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.

1.

At what time will the train reach city X from city Y?

I. 

The train crosses another train of equal length of 200 metres and running in opposite directions in 15 seconds.

II. 

The train leaves city Y and 7.15 a.m. for city X situated at a distance of 558 km.

 III. 

The 200 metres long train crosses a signal pole in 10 seconds.

A.
I only
B.
II only
C.
III only
D.
II and III only
E.
All I, II and III are required.

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

From the statement I, we get length of the train is 200 metres (Redundant info while comparing with Statement III). The rest of the info given in this statement cannot be used for calculating the speed of the train, because the two trains might run at different speed.

III gives, speed = 200 m/sec = 20 m/sec = 20 x 18 km/hr = 72 km/hr.
10 5

II gives, time taken = 558 hrs = 31 hrs = 7 3 hrs = 7 hrs 45 min.
72 4 4

So, the train will reach city X at 3 p.m.

Hence II and III only gives the answer.

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2.

The least perfect square, which is divisible by each of 21, 36 and 66 is:

A.
213444
B.
214344
C.
214434
D.
231444

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

L.C.M. of 21, 36, 66 = 2772.

Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11

To make it a perfect square, it must be multiplied by 7 x 11.

So, required number = 22 x 32 x 72 x 112 = 213444

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3.

If a = 0.1039, then the value of 4a2 - 4a + 1 + 3a is:

A.
0.1039
B.
0.2078
C.
1.1039
D.
2.1039

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

4a2 - 4a + 1 + 3a = (1)2 + (2a)2 - 2 x 1 x 2a + 3a

   = (1 - 2a)2 + 3a

   = (1 - 2a) + 3a

   = (1 + a)

   = (1 + 0.1039)

   = 1.1039

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4.

A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

A.
69.5 km/hr
B.
70 km/hr
C.
79 km/hr
D.
79.2 km/hr

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Let the length of the train be x metres and its speed by y m/sec.

Then, x = 8     =>     x = 8y
y

Now, x + 264 = y
20

=> 8y + 264 = 20y

=> y = 22.

Therefore Speed = 22 m/sec = ( 22 x 18 ( km/hr = 79.2 km/hr.
5

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5.

A train 110 metres 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?

A.
5 sec
B.
6 sec
C.
7 sec
D.
10 sec

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Speed of train relative to man = (60 + 6) km/hr = 66 km/hr.

   = 66 x 5 m/sec
18

   = 55 m/sec.
3

Time taken to pass the man = 110 x 3 sec = 6 sec.
55

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6.

Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?

A.
Rs. 9,423
B.
Rs. 10,250
C.
Rs. 12,500
D.
Rs. 10,500

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Simran : Nanda = (50000 x 36) : (80000 x 30) = 3 : 4.

Simran's share = Rs. 24500 x 3 = Rs. 10,500.
7

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Direction (for Q.No. 7):

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.

7.

What is the speed of the boat in still water?

I. 

The speed downstream is 12 kmph.

II. 

The speed upstream is 4 kmph.

 III. 

In a to and fro journey between two points, the average speed of the boat was 6 kmph.

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

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

From I and II, speed of boat in still water = 1 (12 + 4) km/hr = 8 km/hr.
2

From II and III, we get:

Using average speed = 2xy , we get: 2 x 4 x y = 6
x + y 4 + y

8y = 24 + 6y

y = 12.

Required speed = 1 (12 + 4) km/hr = 8 km/hr.
2

Similarly, I and III also give the answer.

Correct answer is (D).

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8.

A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?

A.
45%
B.
45 5 %
11
C.
54 6 %
11
D.
55%

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Number of runs made by running = 110 - (3 x 4 + 8 x 6)

= 110 - (60)

= 50.

Required percentage = 50 x 100 % = 45 5 %
110 11

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9.

A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?

A.
20
B.
24
C.
30
D.
33

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Let the side of the square(ABCD) be x metres.

Then, AB + BC = 2x metres.

AC = 2x = (1.41x) m.

Saving on 2x metres = (0.59x) m.

Saving % = 0.59x x 100 % = 30% (approx.)
2x

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10.

Which is better investment: 11% stock at 143  or  9% stock at 117?

A.
11% stock at 143
B.
9 3 % stock at 117
4
C.
Both are equally good
D.
Cannot be compared, as the total amount of investment is not given.

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Let investment in each case be Rs. (143 x 117).

Income in 1st case = Rs. 11 x 143 x 117 = Rs. 1287.
143

Income in 2nd case = Rs. 39 x 143 x 117 = Rs. 1394.25
4 x 117

Clearly, 9 3 % stock at 117 is better.
4

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11.

A 6% stock yields 8%. The market value of the stock is:

A.
Rs. 48
B.
Rs. 75
C.
Rs. 96
D.
Rs. 133.33

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

For an income of Rs. 8, investment = Rs. 100.

For an income of Rs. 6, investment = Rs. 100 x 6 = Rs. 75.
8

Market value of Rs. 100 stock = Rs. 75.

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12.

(0.1667)(0.8333)(0.3333) is approximately equal to:
(0.2222)(0.6667)(0.1250)

A.
2
B.
2.40
C.
2.43
D.
2.50

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Given expression
= (0.3333) x (0.1667)(0.8333)
(0.2222) (0.6667)(0.1250)
= 3333 x
1 x 5
6 6
2222
2 x 125
3 1000
= 3 x 1 x 5 x 3 x 8
2 6 6 2
= 5
2
= 2.50

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13.

The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:

A.
28
B.
32
C.
40
D.
64

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Let the numbers be 2x and 3x.

Then, their L.C.M. = 6x.

So, 6x = 48 or x = 8.

The numbers are 16 and 24.

Hence, required sum = (16 + 24) = 40.

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14.

The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is:

A.
3 months
B.
4 months
C.
6 months
D.
8 months

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

S.I. on Rs. 1600 = T.D. on Rs. 1680.

Rs. 1600 is the P.W. of Rs. 1680, i.e., Rs. 80 is on Rs. 1600 at 15%.

Time = 100 x 80 year = 1 year = 4 months.
1600 x 15 3

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15.

A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:

A.
8.5 km/hr
B.
9 km/hr
C.
10 km/hr
D.
12.5 km/hr

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr.

Man's rate against the current = (12.5 - 2.5) km/hr = 10 km/hr.

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16.

A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

A.
1 day
24
B.
7 day
24
C.
3 3 days
7
D.
4 days

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Formula: If A can do a piece of work in n days, then A's 1 day's work = 1 .
n

(A + B + C)'s 1 day's work = 1 + 1 + 1 = 7 .
24 6 12 24

Formula: If A's 1 day's work = 1 , then A can finish the work in n days.
n

So, all the three together will complete the job in 24 days = 3 3 days.
7 7

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17.

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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18.

If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time?

A.
Rs. 51.25
B.
Rs. 52
C.
Rs. 54.25
D.
Rs. 60

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Sum = Rs. 50 x 100 = Rs. 500.
2 x 5

Amount
= Rs. 500 x 1 + 5 2
100
= Rs. 500 x 21 x 21
20 20
= Rs. 551.25

C.I. = Rs. (551.25 - 500) = Rs. 51.25

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Direction (for Q.No. 19):
Find out the wrong number in the series.
19.

3, 7, 15, 39, 63, 127, 255, 511

A.
7
B.
15
C.
39
D.
63
E.
127

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Go on multiplying 2 and adding 1 to get the next number.

So, 39 is wrong.

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Direction (for Q.No. 20):

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.
20.

Average age of employees working in a department is 30 years. In the next year, ten workers will retire. What will be the average age in the next year?

I. 

Retirement age is 60 years.

 II. 

There are 50 employees in the department.

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 E

Explanation:

 I. Retirement age is 60 years.

II. There are 50 employees in the department.

Average age of 50 employees = 30 years.

Total age of 50 employees = (50 x 30) years = 1500 years.

Number of employees next year = 40.

Total age of 40 employees next year (1500 + 40 - 60 x 10) = 940.

Average age next year = 940 years = 23 1 years.
40 2

Thus, I and II together give the answer. So, correct answer is (E).

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