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.

An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hours, it must travel at a speed of:

A.
300 kmph
B.
360 kmph
C.
600 kmph
D.
720 kmph

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Distance = (240 x 5) = 1200 km.

Speed = Distance/Time

Speed = 1200/(5/3) km/hr.     [We can write 1 hours as 5/3 hours]

Required speed = 1200 x 3 km/hr = 720 km/hr.
5

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2.

A car travelling with of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.

A.
17 6 km/hr
7
B.
25 km/hr
C.
30 km/hr
D.
35 km/hr

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Time taken = 1 hr 40 min 48 sec = 1 hr 40 4 min = 1 51 hrs = 126 hrs.
5 75 75

Let the actual speed be x km/hr.

Then, 5 x x 126 = 42
7 75

x = 42 x 7 x 75 = 35 km/hr.
5 x 126

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Direction (for Q.Nos. 3 - 4):
Find out the wrong number in the given sequence of numbers.
3.

56, 72, 90, 110, 132, 150

A.
72
B.
110
C.
132
D.
150

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

The numbers are 7 x 8, 8 x 9, 9 x 10, 10 x 11, 11 x 12, 12 x 13.

So, 150 is wrong.

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4.

105, 85, 60, 30, 0, -45, -90

A.
0
B.
85
C.
-45
D.
60

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Subtract 20, 25, 30, 35, 40, 45 from successive numbers.

So, 0 is wrong.

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5.

An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?

A.
144
B.
150
C.
168
D.
180

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Angle traced by the hour hand in 6 hours = 360 x 6 = 180.
12

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6.

How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?

A.
36 kg
B.
42 kg
C.
54 kg
D.
63 kg

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

S.P. of 1 kg of mixture = Rs. 9.24, Gain 10%.

C.P. of 1 kg of mixture = Rs. 100 x 9.24 = Rs. 8.40
110

By the rule of allilation, we have:

C.P. of 1 kg sugar of 1st kind Cost of 1 kg sugar of 2nd kind
Rs. 9 Mean Price
Rs. 8.40
Rs. 7
1.40 0.60

Ratio of quantities of 1st and 2nd kind = 14 : 6 = 7 : 3.

Let x kg of sugar of 1st be mixed with 27 kg of 2nd kind.

Then, 7 : 3 = x : 27

x = 7 x 27 = 63 kg.
3

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7.

A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest?

A.
3.6%
B.
4.5%
C.
5%
D.
6%
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option E

Explanation:

Let the original rate be R%. Then, new rate = (2R)%.

Note:
Here, original rate is for 1 year(s); the new rate is for only 4 months i.e. year(s).

725 x R x 1 + 362.50 x 2R x 1 = 33.50
100 100 x 3

(2175 + 725) R = 33.50 x 100 x 3

(2175 + 725) R = 10050

(2900)R = 10050

R = 10050 = 3.46
2900

Original rate = 3.46%

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8.

There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:

A.
20
B.
80
C.
100
D.
200

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Let the number of students in rooms A and B be x and y respectively.

Then, x - 10 = y + 10      x - y = 20 .... (i)

     and x + 20 = 2(y - 20)      x - 2y = -60 .... (ii)

Solving (i) and (ii) we get: x = 100 , y = 80.

The required answer A = 100.

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9.

A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:

A.
30 birds
B.
60 birds
C.
72 birds
D.
90 birds

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Let the total number of shots be x. Then,

Shots fired by A = 5 x
8

Shots fired by B = 3 x
8

Killing shots by A = 1 of 5 x = 5 x
3 8 24

Shots missed by B = 1 of 3 x = 3 x
2 8 16

3x = 27 or x = 27 x 16 = 144.
16 3

Birds killed by A = 5x = 5 x 144 = 30.
24 24

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10.

A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is:

A.
48 km/hr
B.
54 km/hr
C.
66 km/hr
D.
82 km/hr

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Let the speed of the second train be x km/hr.

Relative speed = (x + 50) km/hr
= [ (x + 50) x 5 ] m/sec
18
= [ 250 + 5x ] m/sec.
18

Distance covered = (108 + 112) = 220 m.

Therefore 220 = 6
( 250 + 5x (
18

=> 250 + 5x = 660

=> x = 82 km/hr.

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Direction (for Q.No. 11):

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.

11.

What is the two-digit number?

I. 

Sum of the digits is 7.

II. 

Difference between the number and the number obtained by interchanging the digits is 9.

 III. 

Digit in the ten's place is bigger than the digit in the unit's place by 1.

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

Your Answer: Option (Not Answered)

Correct Answer: Option E

Explanation:

Let the tens and units digit be x and y respectively.

  I. x + y = 7.

 II. (10x + y) - (10y + x) = 9       x - y = 1.

III. x - y = 1.

Thus, I and II as well as I and III give the answer.

Correct answer is (E).

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12.

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

A.
4 days
B.
5 days
C.
6 days
D.
7 days

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Let 1 man's 1 day's work = x and 1 boy's 1 day's work = y.

Then, 6x + 8y = 1 and 26x + 48y = 1 .
10 2

Solving these two equations, we get : x = 1 and y = 1 .
100 200

(15 men + 20 boy)'s 1 day's work = 15 + 20 = 1 .
100 200 4

15 men and 20 boys can do the work in 4 days.

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13.

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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14.

A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?

A.
Rs. 500
B.
Rs. 1500
C.
Rs. 2000
D.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.

Then, 4x - 3x = 1000

x = 1000.

B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.

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Direction (for Q.No. 15):

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.
15.

What will be the cost of painting the inner walls of a room if the rate of painting is Rs. 20 per square foot?

I. 

Circumference of the floor is 44 feet.

 II. 

The height of the wall of the room is 12 feet.

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 gives, 2R = 44.

II gives, H = 12.

A = 2RH = (44 x 12).

Cost of painting = Rs. (44 x 12 x 20).

Thus, I and II together give the answer.

Correct answer is (E).

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16.

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. 17):

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.

17.

What is the speed of the train?

I. 

The train crosses a tree in 13 seconds.

II. 

The train crosses a platform of length 250 metres in 27 seconds.

 III. 

The train crosses another train running in the same direction in 32 seconds.

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

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Let the speed of the train be x metres/sec.

Time taken to cross a tree = Length of the train
Speed of the train

Time taken to cross a platform = (Length of the train + Length of the Platform)
Speed of the train

I gives, 13 = l     13x.
x

II gives 27 = l + 250
x

13x + 250 = 27
x

x = 125 m/sec.
7

Thus I and II give the speed of the train.

The correct answer is (A.)

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18.

The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:

A.
35 years
B.
40 years
C.
50 years
D.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Sum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years.

Sum of the present ages of wife and child = (20 x 2 + 5 x 2) years = 50 years.

Husband's present age = (90 - 50) years = 40 years.

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19.

How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 8 ?

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

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

A number ending in 8 can never be a perfect square.

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Direction (for Q.No. 20):
Find the odd man out.
20.

3, 5, 11, 14, 17, 21

A.
21
B.
17
C.
14
D.
3

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Each of the numbers except 14 is an odd number.

The number '14' is the only EVEN number.

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