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 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.
1.

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. 2):

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.
2.

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. 3):
Find out the wrong number in the series.
3.

1, 1, 2, 6, 24, 96, 720

A.
720
B.
96
C.
24
D.
6
E.
2

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Go on multiplying with 1, 2, 3, 4, 5, 6 to get next number.

So, 96 is wrong.

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Direction (for Q.Nos. 4 - 5):
Find the odd man out.
4.

41, 43, 47, 53, 61, 71, 73, 81

A.
61
B.
71
C.
73
D.
81

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Each of the numbers except 81 is a prime number.

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5.

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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6.

How many digits will be there to the right of the decimal point in the product of 95.75 and .02554 ?

A.
5
B.
6
C.
7
D.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Sum of decimal places = 7.

Since the last digit to the extreme right will be zero (since 5 x 4 = 20), so there will be 6 significant digits to the right of the decimal point.

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7.

3889 + 12.952 - ? = 3854.002

A.
47.095
B.
47.752
C.
47.932
D.
47.95

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Let 3889 + 12.952 - x = 3854.002.

Then x = (3889 + 12.952) - 3854.002

   = 3901.952 - 3854.002

   = 47.95.

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8.

Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:

A.
75
B.
81
C.
85
D.
89

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Since the numbers are co-prime, they contain only 1 as the common factor.

Also, the given two products have the middle number in common.

So, middle number = H.C.F. of 551 and 1073 = 29;

First number = 551 = 19;    Third number = 1073 = 37.
29 29

Required sum = (19 + 29 + 37) = 85.

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9.

How many seconds will a 500 metre 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?

A.
25
B.
30
C.
40
D.
45

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Speed of the train relative to man = (63 - 3) km/hr
= 60 km/hr
= ( 60 x 5 ( m/sec
18
= ( 50 ( m/sec.
3
Therefore Time taken to pass the man
= ( 500 x 3 ( sec
50
= 30 sec.

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10.

The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?

A.
23 years
B.
24 years
C.
25 years
D.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Let the average age of the whole team by x years.

11x - (26 + 29) = 9(x -1)

11x - 9x = 46

2x = 46

x = 23.

So, average age of the team is 23 years.

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11.

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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12.

A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?

A.
40 minutes
B.
1 hour
C.
1 hr 15 min
D.
1 hr 30 min

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Rate downstream = 1 x 60 km/hr = 6 km/hr.
10

Rate upstream = 2 km/hr.

Speed in still water = 1 (6 + 2) km/hr = 4 km/hr.
2

Required time = 5 hrs = 1 1 hrs = 1 hr 15 min.
4 4

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Direction (for Q.No. 13):

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.

13.

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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14.

Which of the following is not a leap year?

A.
700
B.
800
C.
1200
D.
2000

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

The century divisible by 400 is a leap year.

The year 700 is not a leap year.

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Direction (for Q.No. 15):

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.

15.

What is the difference between the present ages of Ayush and Deepak?

I. 

The ratio between Ayush's present age and his age after 8 years 4 : 5.

II. 

The ratio between the present ages of Ayush and Deepak is 4 : 3.

 III. 

The ratio between Deepak's present age and his age four years ago is 6 : 5.

A.
Any two of I, II and III
B.
I or III only
C.
Any one of the three
D.
All I, II and III are required
E.
Even with all I, II and III, the answer cannot be obtained.

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Clearly, any two of the given statements will give the answer and in each case, the third is redundant.

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16.

In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?

A.
3 : 7
B.
5 : 7
C.
7 : 3
D.
7 : 5

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

By the rule of alligation:

Cost of 1 kg pulses of 1st kind Cost of 1 kg pulses of 2nd kind
Rs. 15 Mean Price
Rs. 16.50
Rs. 20
3.50 1.50

Required rate = 3.50 : 1.50 = 7 : 3.

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17.

In a 300 m race A beats B by 22.5 m or 6 seconds. B's time over the course is:

A.
86 sec
B.
80 sec
C.
76 sec
D.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

B runs 45 m in 6 sec.
2

B covers 300 m in 6 x 2 x 300 sec = 80 sec.
45

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18.

Three unbiased coins are tossed. What is the probability of getting at most two heads?

A.
3
4
B.
1
4
C.
3
8
D.
7
8

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Here S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}

Let E = event of getting at most two heads.

Then E = {TTT, TTH, THT, HTT, THH, HTH, HHT}.

P(E) = n(E) = 7 .
n(S) 8

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19.

1 + 1 = ?
1 + a(n - m) 1 + a(m - n)

A.
0
B.
1
2
C.
1
D.
am + n

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

1 + 1 =
1  +  1
1 + an
am
1 + am
an
1 + a(n - m) 1 + a(m - n)

   = am + an
(am + an) (am + an)

   = (am + an)
(am + an)

   = 1.

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20.

(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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