Aptitude and Reasoning Questions

Q:

A, B and C have amounts in the ratio of  3 : 4 : 5. First B gives 1/4th to A and 1/4th to C then C gives 1/6th to A. Find the final ratio of amount of A, B and C respectively.

A) 4:3:5 B) 5:4:3
C) 3:4:5 D) 5:2:5
 
Answer & Explanation Answer: D) 5:2:5

Explanation:

A                   B                 C

 

3x                 4x                5x 

(3x+x)          2x               (5x+x)         (B Gives 1/4 to A and 1/4 to C) 

=4x              2x                 6x 

(4x+x)          2x                 5x              ( C Gives 1/6 to A) 

=5x              2x                 5x

 

Therefore, 5 : 2 : 5

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Filed Under: Ratios and Proportions

13 13828
Q:

A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

A) 48 B) 64
C) 63 D) 45
 
Answer & Explanation Answer: B) 64

Explanation:

We may have(1 black and 2 non-black) or (2 black and 1 non-black) or (3 black).

 

Required number of ways=3C1*6C2+3C2*6C1+3C3 = (45 + 18 + 1) =64

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5 13823
Q:

If in a certain language CHARCOAL is coded as 45164913 and MORALE is coded as 296137, how are the following words coded in that language ? REAL

A) 8519 B) 6713
C) 6513 D) 6719
 
Answer & Explanation Answer: B) 6713

Explanation:

The alphabets are coded as follows :

 

CHA ROLME4  5 1  6  9 3  2 7

 

R is coded as 6,

 

E as 7,
A as 1  and
L as 3.
So, the code for REAL is 6713

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Filed Under: Coding and Decoding

48 13820
Q:

The present worth of a sum due sometime hence is Rs. 576 and the banker's gain is Rs.

16. The true discount is:

A) 78 B) 96
C) 105 D) 85
 
Answer & Explanation Answer: B) 96

Explanation:

T.D. = P.W. x B.G. = 576 x 16 = 96.

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Filed Under: Banker's Discount

0 13813
Q:

Directions : For the Assertion (A) and Reason (R) below, choose the correct alternative 

Assertion(A)   :    An iron ball floats on mercury but gets immersed in water. 

Reason (R)     :   The specific gravity of iron is more than that of mercury. 

A) Both A and R are true and R is the correct explanation of A. B) Both A and R are true but R is NOT the correct explanation of A.
C) A is true but R is false. D) A is false but R is true.
 
Answer & Explanation Answer: C) A is true but R is false.

Explanation:

Iron with specific gravity less than that of mercury but more than that of water, floats in the former but gets immersed in the second 

 

 

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Filed Under: Assertion and Reason

6 13798
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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Filed Under: Probability

10 13796
Q:

There are six persons 1, 2, 3, 4, 5 and 6. 3 is the sister of 6. 2 is the brother of 5's husband. 4 is the father of 1 and grandfather of 6. There are two fathers, three brothers and a mother in the group. Which of the following is a group of brothers ? 

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

Explanation:

4 is father of 1 and grandfather of 6. So, 1 is father of 6. Thus, 4 and 1 are the two fathers.
3 is the sister of 6. So, 3 is the daughter of 1. Since there is only one mother, it is evident that 5 is the wife of 1 and hence the mother of  3 and 6. So, 2 is brother of 1. There are three brothers. So, 6 is the brother of 3. Hence, 2 and 1 are brothers. 6 is the brother of 3. So, three brothers are 1, 2, 6.

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Filed Under: Blood Relations
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO

3 13793
Q:

Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 litres of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?

A) 1 litre paint B) 1 litre water
C) ½ litre water and one litre paint D) ½ litre paint and one litre water
 
Answer & Explanation Answer: A) 1 litre paint

Explanation:

At the moment the paint is 3 liters of paint and 3 liters of water. We need to add to this to make the new ratio 2 liters paint to 1.5 liters water. As this is equivalent to 4 : 3 we can see that we have the right amount of water, and just need 1 liter of paint to make it correct.

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Filed Under: Ratios and Proportions
Exam Prep: GRE

22 13779