Aptitude and Reasoning Questions

Q:

What is the difference between the compound interests on Rs. 5000 for 1 1/2  years at 4% per annum compounded yearly and half-yearly?

A) 2.04 B) 3.04
C) 4.04 D) 5.04
 
Answer & Explanation Answer: A) 2.04

Explanation:

C.I. when interest
compounded yearly=rs.[5000*(1+4/100)(1+1/2*4/100)]

= Rs. 5304.

C.I. when interest is
compounded half-yearly=rs.5000(1+2/100)^3

= Rs. 5306.04
Difference = Rs. (5306.04 - 5304) = Rs. 2.04

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Q:

What is the probability of getting a sum 9 from two throws of a dice ?

A) 1/6 B) 1/2
C) 1/9 D) 3/4
 
Answer & Explanation Answer: C) 1/9

Explanation:

In two throws of a die, n(s)=(6 x 6)=36

 

let E= Event of geting a sum 9={(3,6),(4,5),(5,4),(6,3)}

 

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

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Q:

In a simultaneous throw of two dice, what is the probability of getting a total of 7 ?

A) 1/6 B) 1/4
C) 1/20 D) 3/4
 
Answer & Explanation Answer: A) 1/6

Explanation:

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Q:

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is:

A) 625 B) 635
C) 645 D) 655
 
Answer & Explanation Answer: A) 625

Explanation:

Let the sum be Rs. x. Then

C.I=x[1+4/100)^2-x]=[626/675x-x]

S.I=x^2/25

C.I-S.I=1

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Q:

In a simultaneous throw of two dice, what is the probability of getting a doublet ?

A) 1/6 B) 1/3
C) 4/7 D) 4/5
 
Answer & Explanation Answer: A) 1/6

Explanation:

In a simultaneous throw of two dice, n(S) = 6 x 6 = 36

 

Let E = event of getting a doublet = { (1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}

 P(E)=n(E)n(S)=636=16

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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) 1/7 B) 2/7
C) 3/7 D) 2/5
 
Answer & Explanation Answer: B) 2/7

Explanation:

P(getting prize) = 10/ (10 + 25) =2/7

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Q:

The value of 1log360+1log460+1log560is

A) 0 B) 1
C) 5 D) 60
 
Answer & Explanation Answer: B) 1

Explanation:

            => log60(3*4*5)

                              =>     log6060

                                   = 1

 

                                                       

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Q:

The probability that a card drawn from a pack of 52 cards will be a diamond or a king, is

A) 5/12 B) 4/13
C) 5/13 D) 3/14
 
Answer & Explanation Answer: B) 4/13

Explanation:

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