Aptitude and Reasoning Questions

Q:

In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?

A) 2/7 B) 5/7
C) 1/5 D) 1/2
 
Answer & Explanation Answer: A) 2/7

Explanation:

Total number of outcomes possible, n(S) = 10 + 25 = 35

 

Total number of prizes, n(E) = 10

 P(E)=n(E)n(S)=1035=27

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243 100969
Q:

Find the odd man out.

6, 9, 15, 21, 24, 28, 30

A) 28 B) 21
C) 24 D) 30
 
Answer & Explanation Answer: A) 28

Explanation:

Each of the numbers except 28, is a multiple of 3.

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83 100140
Q:

What should come in place of question mark (?) in the following number series?

 132       156       ?         210          240          272 

A) 196 B) 182
C) 199 D) 204
 
Answer & Explanation Answer: B) 182

Explanation:

The given series follows a logic that

11 x 12, 12 x 13, 13 x 14, 14 x 15, 15 x 16,...

So the missing number is 13 x 14 = 182

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436 97161
Q:

How many 4's are there preceded by 7 but not followed by 3?

5  9  3  2  1  7  4  2  6  9  7  4  6  1  3  2  8  7  4  1  3  8  3  2  5  6  7  4  3  9  5  8  2  0  1  8  7  4  6  3

A) Four B) Three
C) Six D) Five
 
Answer & Explanation Answer: A) Four

Explanation:

7  4  2

7  4  6

7  4  1

7  4  6

 

Only at these placees 4 is preceded by 7 but not followed by 3

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875 95740
Q:

A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B's share ?

A) 144 B) 169
C) 225 D) 339
 
Answer & Explanation Answer: A) 144

Explanation:

Ratio of initial investments = 1/2 : 1/3 : 1/4 = 6 : 4 : 3.

Let their initial investments be 6x, 2x and 3x respectively.

A : B : C = (6x * 2 + 3x * 10) : (4x * 12) : (3x * 12) = 42 : 48 : 36 = 7 : 8 : 6.

B's share =  Rs. (378 * 8/21) = Rs. 144.

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140 95263
Q:

A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 40 marks. The maximum marks are :

A) 500 B) 600
C) 800 D) 1000
 
Answer & Explanation Answer: A) 500

Explanation:

Given that the student got 125 marks and still he failed by 40 marks

 

=> The minimum pass mark = 125 + 40 = 165

 

Given that minimum pass mark = 33% of the total mark

 

=> total mark =33/100 =165

 

=> total mark = 16500/33 = 500

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535 95158
Q:

The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, its purchase price was :

A) 10000 B) 12000
C) 14000 D) 16000
 
Answer & Explanation Answer: B) 12000

Explanation:

Purchase price = Rs.87481-101003 = Rs. [8748 * (10/9) * (10/9 )* (10/9)] = Rs.12000

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685 95052
Q:

The compound interest on rs.30000 at 7% per annum is Rs.4347. The period is

A) 2 years B) 2.5 years
C) 3 years D) 4 years
 
Answer & Explanation Answer: A) 2 years

Explanation:

Amount = Rs.(30000+4347) = Rs.34347

 

let the time be n years

 

Then,30000(1+7/100)^n = 34347

 

(107/100)^n = 34347/30000 = 11449/10000 = (107/100)^2

 

n = 2years

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375 94725