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.

If 35 + 125 = 17.88, then what will be the value of 80 + 65 ?

A.
13.41
B.
20.46
C.
21.66
D.
22.35

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

35 + 125 = 17.88

35 + 25 x 5 = 17.88

35 + 55 = 17.88

85 = 17.88

5 = 2.235

80 + 65 = 16 x 5 + 65

   = 45 + 65

   = 105 = (10 x 2.235) = 22.35

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2.

5 x 1.6 - 2 x 1.4 = ?
1.3

A.
0.4
B.
1.2
C.
1.4
D.
4

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Given Expression = 8 - 2.8 = 5.2 = 52 = 4.
1.3 1.3 13

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3.

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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4.

A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

A.
18
B.
24
C.
42
D.
81

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Let the ten's and unit digit be x and 8 respectively.
x

Then, 10x + 8 + 18 = 10 x 8 + x
x x

10x2 + 8 + 18x = 80 + x2

9x2 + 18x - 72 = 0

x2 + 2x - 8 = 0

(x + 4)(x - 2) = 0

x = 2.

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5.

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:

A.
100 kmph
B.
110 kmph
C.
120 kmph
D.
130 kmph

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Let speed of the car be x kmph.

Then, speed of the train = 150 x = 3 x kmph.
100 2

75 - 75 = 125
x (3/2)x 10 x 60

75 - 50 = 5
x x 24

x = 25 x24 = 120 kmph.
5

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Direction (for Q.No. 6):

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.
6.

What is the length of a running train?

I. 

The train crosses a man in 9 seconds.

 II. 

The train crosses a 240 metre long platform in 24 seconds.

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:

Time taken by train to cross a man = Length of train       Speed = l ....(i)
Speed of train 9

Time taken by train
to cross a platform =
(Length of train +
Length of platform)
     Speed = l + 240 ....(ii)
Speed of train 24

From (i) and (ii), we get l = l + 240 .
9 24

Thus, l can be obtained. So both I and II are necessary to get the answer.

The correct answer is (E).

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7.

The difference between compound interest and simple interest on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?

A.
8
B.
10
C.
12
D.
Cannot be determined
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

15000 x 1 + R 2 - 15000 - 15000 x R x 2 = 96
100 100

15000 1 + R 2 - 1 - 2R = 96
100 100

15000 (100 + R)2 - 10000 - (200 x R) = 96
10000

R2 = 96 x 2 = 64
3

R = 8.

Rate = 8%.

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8.

The difference between simple interest and compound on Rs. 1200 for one year at 10% per annum reckoned half-yearly is:

A.
Rs. 2.50
B.
Rs. 3
C.
Rs. 3.75
D.
Rs. 4
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

S.I. = Rs 1200 x 10 x 1 = Rs. 120.
100

C.I. = Rs. 1200 x 1 + 5 2 - 1200 = Rs. 123.
100

Difference = Rs. (123 - 120) = Rs. 3.

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9.

A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

A.
10
B.
20
C.
21
D.
25

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Suppose the can initially contains 7x and 5x of mixtures A and B respectively.

Quantity of A in mixture left = 7x - 7 x 9 litres = 7x - 21  litres.
12 4

Quantity of B in mixture left = 5x - 5 x 9 litres = 5x - 15  litres.
12 4

7x - 21
4
= 7
5x - 15  + 9
4
9

28x - 21 = 7
20x + 21 9

252x - 189 = 140x + 147

112x = 336

x = 3.

So, the can contained 21 litres of A.

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Direction (for Q.No. 10):
Insert the missing number.
10.

8, 7, 11, 12, 14, 17, 17, 22, (....)

A.
27
B.
20
C.
22
D.
24

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

There are two series (8, 11, 14, 17, 20) and (7, 12, 17, 22) increasing by 3 and 5 respectively.

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11.

The diagonal of the floor of a rectangular closet is 7 feet. The shorter side of the closet is 4 feet. What is the area of the closet in square feet?

A.
5 1
4
B.
13 1
2
C.
27
D.
37

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Other side =
15 2 - 9 2
2 2
ft
=
225 - 81
4 4
ft
=
144
4
ft
= 6 ft.

Area of closet = (6 x 4.5) sq. ft = 27 sq. ft.

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12.

A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:

A.
5.15 kmph
B.
4.14 kmph
C.
4.25 kmph
D.
4.4 kmph

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

A's speed = 5 x 5 m/sec = 25 m/sec.
18 18

Time taken by A to cover 100 m = 100 x 18 sec = 72 sec.
25

Time taken by B to cover 92 m = (72 + 8) = 80 sec.

B's speed = 92 x 18 kmph = 4.14 kmph.
80 5

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13.

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?

A.
26 minutes and 18 seconds
B.
42 minutes and 36 seconds
C.
45 minutes
D.
46 minutes and 12 seconds

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

L.C.M. of 252, 308 and 198 = 2772.

So, A, B and C will again meet at the starting point in 2772 sec. i.e., 46 min. 12 sec.

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14.

The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:

A.
74
B.
94
C.
184
D.
364

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

L.C.M. of 6, 9, 15 and 18 is 90.

Let required number be 90k + 4, which is multiple of 7.

Least value of k for which (90k + 4) is divisible by 7 is k = 4.

Required number = (90 x 4) + 4   = 364.

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15.

A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

A.
No profit, no loss
B.
5%
C.
8%
D.
10%
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

C.P. of 56 kg rice = Rs. (26 x 20 + 30 x 36) = Rs. (520 + 1080) = Rs. 1600.

S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680.

Gain = 80 x 100 % = 5%.
1600

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16.

A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

A.
2 : 1
B.
3 : 2
C.
25 : 18
D.
27 : 20

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Volume of the large cube = (33 + 43 + 53) = 216 cm3.

Let the edge of the large cube be a.

So, a3 = 216         a = 6 cm.

Required ratio = 6 x (32 + 42 + 52) = 50 = 25 : 18.
6 x 62 36

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Direction (for Q.No. 17):

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.
17.

The area of a rectangle is equal to the area of right-angles triangle. What is the length of the rectangle?

I. 

The base of the triangle is 40 cm.

 II. 

The height of the triangle is 50 cm.

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:

Given: Area of rectangle = Area of a right-angles triangle.

l x b = 1 x B x H
2

I gives, B = 40 cm.

II gives, H = 50 cm.

Thus, to find l, we need b also, which is not given.

Given data is not sufficient to give the answer.

Correct answer is (D).

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18.

A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is:

A.
Rs. 207.40
B.
Rs. 534.60
C.
Rs. 648
D.
Rs. 655.60

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Number of shares = 4455 = 540.
8.25

Face value = Rs. (540 x 10) = Rs. 5400.

Annual income = Rs. 12 x 5400 = Rs. 648.
100

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Direction (for Q.No. 19):

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.

19.

What was the percentage of discount given?

I. 

23.5% profit was earned by selling an almirah for Rs. 12,350.

 II. 

If there were no discount, the earned profit would have been 30%.

 III. 

The cost price of the almirah was Rs. 10,000.

A.
Only I and II
B.
Only II and III
C.
Only I and III
D.
Any two of the three
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option E

Explanation:

  I. S.P. = Rs. 12350, Gain = 23.5%

C.P. = Rs. 100 x 12350 = Rs. 10,000.
123.5

 II. M.P. = 130% of C.P. = 130% of Rs. 10,000 = Rs. 13,000.

From I and II, discount = Rs. (13000 - 12350) = Rs. 650.

Discount % = 650 x 100 % = 5%.
13000

Thus, I and II give the answer.

II and III can not give the answer. Because we require profit percentage with discount and profit percentage without discount. So II and III are not sufficient.

Since III gives C.P. = Rs. 10,000, I and III give the answer.

Therefore, I and II [or] I and III give the answer.

Correct answer is (E).

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Direction (for Q.No. 20):
Find out the wrong number in the given sequence of numbers.
20.

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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