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.

A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:

A.
1
3
B.
2
3
C.
2
5
D.
3
5

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

By the rule of alligation, we have:

Strength of first jar Strength of 2nd jar
40% Mean
Strength
26%
19%
7 14

So, ratio of 1st and 2nd quantities = 7 : 14 = 1 : 2

Required quantity replaced = 2
3

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2.

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is:

A.
625
B.
630
C.
640
D.
650

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Let the sum be Rs. x. Then,

C.I. = x 1 + 4 2 - x = 676 x - x = 51 x.
100 625 625

S.I. = x x 4 x 2 = 2x .
100 25

51x - 2x = 1
625 25

x = 625.

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3.

Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:

A.
1
7
B.
1
8
C.
1
9
D.
7
8

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Original share of 1 person = 1
8

New share of 1 person = 1
7

Increase = 1 - 1 = 1
7 8 56

Required fraction = (1/56) = 1 x 8 = 1
(1/8) 56 1 7

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4.

What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?

A.
344.35 cm2
B.
462 cm2
C.
498.35 cm2
D.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

h = 14 cm, r = 7 cm.

So, l = (7)2 + (14)2 = 245 = 75 cm.

Total surface area = rl + r2
= 22 x 7 x 75 + 22 x 7 x 7 cm2
7 7
= [154(5 + 1)] cm2
= (154 x 3.236) cm2
= 498.35 cm2.

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5.

.009 = .01
?

A.
.0009
B.
.09
C.
.9
D.
9

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Let .009 = .01;     Then x = .009 = .9 = .9
x .01 1

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Direction (for Q.Nos. 6 - 7):
Insert the missing number.
6.

16, 33, 65, 131, 261, (....)

A.
523
B.
521
C.
613
D.
721

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Each number is twice the preceding one with 1 added or subtracted alternatively.

So, the next number is (2 x 261 + 1) = 523.

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7.

3, 7, 6, 5, 9, 3, 12, 1, 15, (....)

A.
18
B.
13
C.
-1
D.
3

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

There are two series, beginning respectively with 3 and 7. In one 3 is added and in another 2 is subtracted.

The next number is 1 - 2 = -1.

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8.

If the true discount on s sum due 2 years hence at 14% per annum be Rs. 168, the sum due is:

A.
Rs. 768
B.
Rs. 968
C.
Rs. 1960
D.
Rs. 2400

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

P.W. = 100 x T.D. = 100 x 168 = 600.
R x T 14 x 2

Sum = (P.W. + T.D.) = Rs. (600 + 168) = Rs. 768.

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Direction (for Q.No. 9):

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.

9.

How many workers are required for completing the construction work in 10 days?

I. 

20% of the work can be completed by 8 workers in 8 days.

II. 

20 workers can complete the work in 16 days.

 III. 

One-eighth of the work can be completed by 8 workers in 5 days.

A.
I only
B.
II and III only
C.
III only
D.
I and III only
E.
Any one of the three

Your Answer: Option (Not Answered)

Correct Answer: Option E

Explanation:

  I. 20 work can be completed by (8 x 8) workers in 1 day.
100

   Whole work can be completed by (8 x 8 x 5) workers in 1 day.

        = 8 x 8 x 5 workers in 10 days = 32 workers in 10 days.
10


 II. (20 x 16) workers can finish it in 1 day.

   (20 x 16) workers can finish it in 10 days.
10

   32 workers can finish it in 10 days.


III. 1 work can be completed by (8 x 5) workers in 1 day.
8

   Whole work can be completed by (8 x 5 x 8) workers in 1 day.

        = 8 x 5 x 8 workers in 10 days = 32 workers in 10 days.
10

Any one of the three gives the answer.

Correct answer is (E).

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10.

(243)n/5 x 32n + 1 = ?

9n x 3n - 1

A.
1
B.
2
C.
9
D.
3n

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Given Expression
= (243)(n/5) x 32n + 1

9n x 3n - 1

= (35)(n/5) x 32n + 1

(32)n x 3n - 1

= (35 x (n/5) x 32n + 1)

(32n x 3n - 1)

= 3n x 32n + 1

32n x 3n - 1

= 3(n + 2n + 1)

3(2n + n - 1)

=

33n + 1

33n - 1

= 3(3n + 1 - 3n + 1)   = 32   = 9.

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Direction (for Q.Nos. 11 - 12):
Find the odd man out.
11.

16, 25, 36, 72, 144, 196, 225

A.
36
B.
72
C.
196
D.
225

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Each of the numbers except 72 is a perfect square.

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12.

3, 5, 7, 12, 17, 19

A.
19
B.
17
C.
5
D.
12

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Each of the numbers is a prime number except 12.

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13.

A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 hours to fill the tank. The leak can drain all the water of the tank in:

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

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Work done by the leak in 1 hour = 1 - 3 = 1 .
2 7 14

Leak will empty the tank in 14 hrs.

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14.

Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

A.
4
B.
7
C.
9
D.
13

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Required number = H.C.F. of (91 - 43), (183 - 91) and (183 - 43)

     = H.C.F. of 48, 92 and 140 = 4.

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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 area of a right-angled triangle?

I. 

The perimeter of the triangle is 30 cm.

II. 

The ratio between the base and the height of the triangle is 5 : 12.

 III. 

The area of the triangle is equal to the area of a rectangle of length 10 cm.

A.
I and II only
B.
II and III only
C.
I and III only
D.
III, and either I or II only
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

From II, base : height = 5 : 12.

Let base = 5x and height = 12x.

Then, hypotenuse = (5x)2 + (12x)2 = 13x.

From I, perimeter of the triangle = 30 cm.

5x + 12x + 13x = 30         x = 1.

So, base = 5x = 5 cm, height = 12x = 12 cm.

Area = 1 x 5 x 12 cm2 = 30 cm2.
2

Thus, I and II together give the answer.

Clearly III is redundant, since the breadth of the rectangle is not given.

Correct answer is (A).

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16.

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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17.

If log a + log b = log (a + b), then:
b a

A.
a + b = 1
B.
a - b = 1
C.
a = b
D.
a2 - b2 = 1

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

log a + log b = log (a + b)
b a

log (a + b) = log a x b = log 1.
b a

So, a + b = 1.

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18.

A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished ?

A.
11:30 A.M.
B.
12 noon
C.
12:30 P.M.
D.
1:00 P.M.

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

(P + Q + R)'s 1 hour's work = ( 1 + 1 + 1 ) = 37 .
8 10 12 120

Work done by P, Q and R in 2 hours = ( 37 x 2 ) = 37 .
120 60

Remaining work = ( 1 - 37 ) = 23 .
60 60

(Q + R)'s 1 hour's work = ( 1 + 1 ) = 11 .
10 12 60

Now, 11 work is done by Q and R in 1 hour.
60

So, 23 work will be done by Q and R in ( 60 x 23 ) = 23 hours = 2 hours.
60 11 60 11

So, the work will be finished approximately 2 hours after 11 A.M., i.e., around 1 P.M.

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19.

Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?

A.
24
B.
27
C.
40
D.
Cannot be determined
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Let the present ages of Sameer and Anand be 5x years and 4x years respectively.

Then, 5x + 3 = 11
4x + 3 9

9(5x + 3) = 11(4x + 3)

45x + 27 = 44x + 33

45x - 44x = 33 - 27

x = 6.

Anand's present age = 4x = 24 years.

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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.

The average age of P, Q, R and S is 30 years. How old is R?

I. 

The sum of ages of P and R is 60 years.

 II. 

S is 10 years younger than R.

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:

P + Q + R + S = (30 x 4)      P + Q + R + S = 120 .... (i)

 I. P + R = 60 .... (ii)

II. S = (R - 10) .... (iii)

From (i), (ii) and (iii), we cannot find R.

Correct answer is (D)

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