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.
When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?
339
349
369
Data inadequate
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

x = 13p + 11 and x = 17q + 9

13p + 11 = 17q + 9

17q - 13p = 2

q = 2 + 13p
17

The least value of p for which q = 2 + 13p is a whole number is p = 26
17

x = (13 x 26 + 11)

   = (338 + 11)

   = 349


2.
On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?
0
1
2
4
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Let the number be x and on dividing x by 5, we get k as quotient and 3 as remainder.

    x = 5k + 3

    x2 = (5k + 3)2

   = (25k2 + 30k + 9)

   = 5(5k2 + 6k + 1) + 4

On dividing x2 by 5, we get 4 as remainder.


3.
(?) + 3699 + 1985 - 2047 = 31111
34748
27474
30154
27574
None of these
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

x + 3699 + 1985 - 2047 = 31111

   x + 3699 + 1985 = 31111 + 2047

   x + 5684 = 33158

   x = 33158 - 5684 = 27474.


4.
(112 x 54) = ?
67000
70000
76500
77200
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
(112 x 54) = 112 x 10 4 = 112 x 104 = 1120000 = 70000
2 24 16

5.
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.

6.
(12)3 x 64 ÷ 432 = ?
5184
5060
5148
5084
None of these
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62

7.
3889 + 12.952 - ? = 3854.002
47.095
47.752
47.932
47.95
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Let 3889 + 12.952 - x = 3854.002.

Then x = (3889 + 12.952) - 3854.002

   = 3901.952 - 3854.002

   = 47.95.


Direction (Q.No. 8)

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.

8.

How many marks did Tarun secure in English?

I. 

The average mark obtained by Tarun in four subjects including English is 60.

 II. 

The total marks obtained by him in English and Mathematics together are 170.

 III. 

The total marks obtained by him in Mathematics and Science together are 180.

I and II only
II and III only
I and III only
All I, II and III
None of these
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

I gives, total marks in 4 subjects = (60 x 4) = 240.

II gives, E + M = 170

III gives, M + S = 180.

Thus, none of (A), (B), (C), (D) is true.

Correct answer is (E).


9.

A shopkeeper sells some articles at the profit of 25% on the original price. What is the exact amount of profit? To find the answer, which of the following information given in Statements I and II is/are necessary?

I. 

Sale price of the article

 II. 

Number of articles sold

Only I is necessary
Only II is necessary
Either I or II is necessary
Both I and II are necessary
None of these
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Gain = 25% of C.P.

In order to find gain, we must know the sale price of each article and the number of articles sold.

Correct answer is (D).


10.
Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
7 : 6 : 10
12 : 15 : 16
42 : 45 : 56
Cannot be determined
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Aman : Rakhi : Sagar = (70,000 x 36) : (1,05,000 x 30) : (1,40,000 x 24) = 12 : 15 : 16.


11.
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

1
4

1
10

7
15

8
15

Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

A's 1 day's work = 1 ;
15

B's 1 day's work = 1 ;
20

(A + B)'s 1 day's work = ( 1 + 1 ) = 7 .
15 20 60

(A + B)'s 4 day's work = ( 7 x 4 ) = 7 .
60 15

Therefore, Remaining work = ( 1 - 7 ) = 8 .
15 15


12.
A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?
3.6 sec
18 sec
36 sec
72 sec
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Speed of train relative to jogger = (45 - 9) km/hr = 36 km/hr.

   = 36 x 5 m/sec
18

   = 10 m/sec.

Distance to be covered = (240 + 120) m = 360 m.

Time taken = 360 sec = 36 sec.
10

13.
In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
3 km/hr
5 km/hr
8 km/hr
9 km/hr
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Speed in still water = 1 (11 + 5) kmph = 8 kmph.
2

Video Explanation: https://youtu.be/KQX_mA3tcVA


14.
A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?
3%
4%
5%
6%
None of these
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

S.I. = Rs. (15500 - 12500) = Rs. 3000.

Rate = 100 x 3000 % = 6%
12500 x 4

Video Explanation: https://youtu.be/SIcQu1HOmOk


15.
The difference between simple interest and compound on Rs. 1200 for one year at 10% per annum reckoned half-yearly is:
Rs. 2.50
Rs. 3
Rs. 3.75
Rs. 4
None of these
Your Answer: Option
(Not Answered)
Correct Answer: Option
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.


Direction (Q.No. 16)

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.

16.

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.

I and II only
II and III only
I and III only
III, and either I or II only
None of these
Your Answer: Option
(Not Answered)
Correct Answer: Option
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).


17.
A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
720
900
1200
1800
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

2(15 + 12) x h = 2(15 x 12)

h = 180 m = 20 m.
27 3

Volume = 15 x 12 x 20 m3 = 1200 m3.
3

Video Explanation: https://youtu.be/V8EQ1YIaH74


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.
In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?
10080
4989600
120960
None of these
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

In the word 'MATHEMATICS', we treat the vowels AEAI as one letter.

Thus, we have MTHMTCS (AEAI).

Now, we have to arrange 8 letters, out of which M occurs twice, T occurs twice and the rest are different.

Number of ways of arranging these letters = 8! = 10080.
(2!)(2!)

Now, AEAI has 4 letters in which A occurs 2 times and the rest are different.

Number of ways of arranging these letters = 4! = 12.
2!

Required number of words = (10080 x 12) = 120960.


20.
What is the probability of getting a sum 9 from two throws of a dice?
1
6
1
8
1
9
1
12
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

In two throws of a dice, n(S) = (6 x 6) = 36.

Let E = event of getting a sum ={(3, 6), (4, 5), (5, 4), (6, 3)}.

P(E) = n(E) = 4 = 1 .
n(S) 36 9


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