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.

Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?

A.
1 hour
B.
2 hours
C.
6 hours
D.
8 hours

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Let the cistern be filled by pipe A alone in x hours.

Then, pipe B will fill it in (x + 6) hours.

1 + 1 = 1
x (x + 6) 4

x + 6 + x = 1
x(x + 6) 4

x2 - 2x - 24 = 0

(x -6)(x + 4) = 0

x = 6.     [neglecting the negative value of x]

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2.

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

A.
1 : 3
B.
3 : 2
C.
3 : 4
D.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Let the speeds of the two trains be x m/sec and y m/sec respectively.

Then, length of the first train = 27x metres,

and length of the second train = 17y metres.

27x + 17y = 23
x+ y

27x + 17y = 23x + 23y

4x = 6y

x = 3 .
y 2

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3.

Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

A.
1
2
B.
3
4
C.
3
8
D.
5
16

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

In a simultaneous throw of two dice, we have n(S) = (6 x 6) = 36.

Then, E = {(1, 2), (1, 4), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 2), (3, 4),
     (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 2), (5, 4), (5, 6), (6, 1),
     (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

n(E) = 27.

P(E) = n(E) = 27 = 3 .
n(S) 36 4

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Direction (for Q.No. 4):

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.

4.

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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5.

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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6.

What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12 p.c.p.a.?

A.
Rs. 9000.30
B.
Rs. 9720
C.
Rs. 10123.20
D.
Rs. 10483.20
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Amount
= Rs. 25000 x 1 + 12 3
100
= Rs. 25000 x 28 x 28 x 28
25 25 25
= Rs. 35123.20

C.I. = Rs. (35123.20 - 25000) = Rs. 10123.20

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Direction (for Q.No. 7):
Insert the missing number.
7.

1, 8, 27, 64, 125, 216, (....)

A.
354
B.
343
C.
392
D.
245

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Numbers are 13, 23, 33, 43, 53, 63.

So, the missing number is 73 = 343.

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8.

If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ?

A.
0.172
B.
1.72
C.
17.2
D.
172

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

29.94 = 299.4
1.45 14.5

= 2994 x 1 [ Here, Substitute 172 in the place of 2994/14.5 ]
14.5 10

= 172
10

= 17.2

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Direction (for Q.No. 9):

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.
9.

By selling a product with 20% profit, how much profit was earned?

I. 

The difference between cost and selling price is Rs. 40.

 II. 

The selling price is 120 percent of the cost price.

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 A

Explanation:

Gain = 20%

I. Profit = (S.P.) - (C.P.) = Rs. 40.

Thus, I give the answer. But, II does not give the answer.

Correct answer is (A).

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10.

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

A.
20 days
B.
22 1 days
2
C.
25 days
D.
30 days

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Ratio of times taken by A and B = 1 : 3.

The time difference is (3 - 1) 2 days while B take 3 days and A takes 1 day.

If difference of time is 2 days, B takes 3 days.

If difference of time is 60 days, B takes 3 x 60 = 90 days.
2

So, A takes 30 days to do the work.

A's 1 day's work = 1
30

B's 1 day's work = 1
90

(A + B)'s 1 day's work = 1 + 1 = 4 = 2
30 90 90 45

A and B together can do the work in 45 = 22 1 days.
2 2

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11.

A and B can do a job together in 7 days. A is 13/4 times as efficient as B. The same job can be done by A alone in :

A.

9 1 days
3

B.
11 days
C.

12 1 days
4

D.

16 1 days
3

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

(A's 1 day's work) : (B's 1 day's work) = 7 : 1   =   7 : 4.
4

Let A's and B's 1 day's work be 7x and 4x respectively.

Then, 7x + 4x = 1     =>     11x = 1     =>     x = 1 .
7 7 77

Therefore A's 1 day's work = ( 1 x 7 ) = 1 .
77 11

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12.

10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

A.
3
B.
5
C.
7
D.
Cannot be determined
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

1 woman's 1 day's work = 1
70

1 child's 1 day's work = 1
140

(5 women + 10 children)'s day's work = 5 + 10 = 1 + 1 = 1
70 140 14 14 7

5 women and 10 children will complete the work in 7 days.

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13.

Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.

A.
3
B.
10
C.
17
D.
20

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Let the number be x.

Then, x + 17 = 60
x

x2 + 17x - 60 = 0

(x + 20)(x - 3) = 0

x = 3.

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14.

A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B?

A.
7
B.
8
C.
9
D.
10
E.
11

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.

(2x + 2) + 2x + x = 27

5x = 25

x = 5.

Hence, B's age = 2x = 10 years.

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15.

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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16.

In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?

A.
3 : 2
B.
3 : 4
C.
3 : 5
D.
4 : 5

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

S.P. of 1 kg of the mixture = Rs. 68.20, Gain = 10%.

C.P. of 1 kg of the mixture = Rs. 100 x 68.20 = Rs. 62.
110

By the rule of alligation, we have:

Cost of 1 kg tea of 1st kind. Cost of 1 kg tea of 2nd kind.
Rs. 60 Mean Price
Rs. 62
Rs. 65
3 2

Required ratio = 3 : 2.

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17.

The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

A.
25% increase
B.
50% increase
C.
50% decrease
D.
75% decrease

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Let original length = x and original breadth = y.

Original area = xy.

New length = x .
2

New breadth = 3y.

New area = x x 3y = 3 xy.
2 2

Increase % = 1 xy x 1 x 100 % = 50%.
2 xy

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18.

The H.C.F. of 9 , 12 , 18 and 21 is:
10 25 35 40

A.
3
5
B.
252
5
C.
3
1400
D.
63
700

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Required H.C.F. = H.C.F. of 9, 12, 18, 21 = 3
L.C.M. of 10, 25, 35, 40 1400

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19.

The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:

A.
1008
B.
1015
C.
1022
D.
1032

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Required number = (L.C.M. of 12,16, 18, 21, 28) + 7

   = 1008 + 7

   = 1015

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20.

The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's discount is:

A.
Rs. 960
B.
Rs. 840
C.
Rs. 1020
D.
Rs. 760

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

T.D. = B.G. x 100 = Rs. 270 x 100 = Rs. 750.
R x T 12 x 3

B.D. = Rs.(750 + 270) = Rs. 1020.

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