Online Aptitude Test - Aptitude Test - Random

Instruction:

  • This is a FREE online test. Beware of scammers who ask for money to attend this test.
  • Total number of questions: 20.
  • Time allotted: 30 minutes.
  • Each question carries 1 mark; there are no negative marks.
  • DO NOT refresh the page.
  • All the best!

Marks : 2/20


Total number of questions
20
Number of answered questions
0
Number of unanswered questions
20
Test Review : View answers and explanation for this test.

1.
Which one of the following can't be the square of natural number ?
30976
75625
28561
143642
None of these
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

The square of a natural number nerver ends in 2.

143642 is not the square of natural number.


2.
The smallest 3 digit prime number is:
101
103
109
113
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

The smallest 3-digit number is 100, which is divisible by 2.

100 is not a prime number.

101 < 11 and 101 is not divisible by any of the prime numbers 2, 3, 5, 7, 11.

101 is a prime number.

Hence 101 is the smallest 3-digit prime number.


3.
(51+ 52 + 53 + ... + 100) = ?
2525
2975
3225
3775
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

This is an A.P. in which a = 51, l = 100 and n = 50.

Sum = n (a + l) = 50 x (51 + 100)   = (25 x 151)   = 3775.
2 2


4.
106 x 106 - 94 x 94 = ?
2400
2000
1904
1906
None of these
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
106 x 106 - 94 x 94 = (106)2 - (94)2
= (106 + 94)(106 - 94)    [Ref: (a2 - b2) = (a + b)(a - b)]
= (200 x 12)
= 2400.

5.
The unit digit in the product (784 x 618 x 917 x 463) is:
2
3
4
5
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
Unit digit in the given product = Unit digit in (4 x 8 x 7 x 3) = (672) = 2

6.
The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:
12
16
24
48
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 4.

So, the numbers 12 and 16.

L.C.M. of 12 and 16 = 48.


7.
3 - 1 2 simplifies to:
3
3
4
4
3
4
3
None of these
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

3 - 1 2 = (3)2 + 1 2 - 2 x 3 x 1
3 3 3

= 3 + 1 - 2
3

= 1 + 1
3

= 4
3


8.

If a = 0.1039, then the value of 4a2 - 4a + 1 + 3a is:

0.1039
0.2078
1.1039
2.1039
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

4a2 - 4a + 1 + 3a = (1)2 + (2a)2 - 2 x 1 x 2a + 3a

   = (1 - 2a)2 + 3a

   = (1 - 2a) + 3a

   = (1 + a)

   = (1 + 0.1039)

   = 1.1039


9.

The square root of (7 + 35) (7 - 35) is

5
2
4

35

Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
(7 + 35)(7 - 35) = (7)2 - (35)2  = 49 - 45  = 4  = 2.

10.
If 5 = 2.236, then the value of 5 - 10 + 125 is equal to:
2 5
5.59
7.826
8.944
10.062
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

5 - 10 + 125 = (5)2 - 20 + 25 x 55
2 5 25

= 5 - 20 + 50
25

= 35 x 5
25 5

= 355
10

= 7 x 2.236
2

= 7 x 1.118

= 7.826


11.
The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
4 years
8 years
10 years
None of these
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.

Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50

5x = 20

x = 4.

Age of the youngest child = x = 4 years.


12.
Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Rs. 15
Rs. 15.70
Rs. 19.70
Rs. 20
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Let the amount taxable purchases be Rs. x.

Then, 6% of x = 30
100

x = 30 x 100 = 5.
100 6

Cost of tax free items = Rs. [25 - (5 + 0.30)] = Rs. 19.70


13.
A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?
Rs. 7500
Rs. 8000
Rs. 8500
Rs. 9000
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Let B's capital be Rs. x.

Then, 3500 x 12 = 2
7x 3

14x = 126000

x = 9000.


14.
A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:
35
36 2
3
37 1
2
40
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Let distance = x km and usual rate = y kmph.

Then, x - x = 40     2y(y + 3) = 9x ....(i)
y y + 3 60

And, x - x = 40     y(y - 2) = 3x ....(ii)
y -2 y 60

On dividing (i) by (ii), we get: x = 40.


15.
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:
300 kmph
360 kmph
600 kmph
720 kmph
Your Answer: Option
(Not Answered)
Correct Answer: Option
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


16.
In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
75 cu. m
750 cu. m
7500 cu. m
75000 cu. m
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

1 hectare = 10,000 m2

So, Area = (1.5 x 10000) m2 = 15000 m2.

Depth = 5 m = 1 m.
100 20

Volume = (Area x Depth) = 15000 x 1 m3 = 750 m3.
20

Video Explanation: https://youtu.be/dDbVuBzYop8


17.
In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:
21 m
26 m
28 m
29 m
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

A : B = 100 : 75

B : C = 100 : 96.

A : C = A x B = 100 x 100 = 100 = 100 : 72.
B C 75 96 72

A beats C by (100 - 72) m = 28 m.


18.
What was the day of the week on 28th May, 2006?
Thursday
Friday
Saturday
Sunday
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

28 May, 2006 = (2005 years + Period from 1.1.2006 to 28.5.2006)

Odd days in 1600 years = 0

Odd days in 400 years = 0

5 years = (4 ordinary years + 1 leap year) = (4 x 1 + 1 x 2) 6 odd days

Jan.  Feb.   March    April    May 
(31 +  28  +  31   +   30   +   28 ) = 148 days

148 days = (21 weeks + 1 day) 1 odd day.

Total number of odd days = (0 + 0 + 6 + 1) = 7 0 odd day.

Given day is Sunday.


19.
A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:
1
13
2
13
1
26
1
52
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Here, n(S) = 52.

Let E = event of getting a queen of club or a king of heart.

Then, n(E) = 2.

P(E) = n(E) = 2 = 1 .
n(S) 52 26


Direction (Q.No. 20)
Find out the wrong number in the series.
20.
7, 8, 18, 57, 228, 1165, 6996
8
18
57
228
1165
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Let the given numbers be A, B, C, D, E, F, G.

Then, A, A x 1 + 1, B x 2 + 2, C x 3 + 3, D x 4 + 4, E x 5 + 5, F x 6 + 6 are the required numbers.

Clearly, 228 is wrong.


*** END OF THE TEST ***
Time Left: 00:29:56
Post your test result / feedback here: