Aptitude and Reasoning Questions

Q:

A 12 m long wire is cut into two pieces, one of which is bent into a circle and the other into a square enclosing the circle. What is the radius of the circle?

A) 12/π+4 B) 6/π+4
C) 3/π+4 D) 6/π+2√2
 
Answer & Explanation Answer: B) 6/π+4

Explanation:
As it is clear that 2r = a where a is the side of the square and
R is the radius of circle
It is given that 2πr + 4a = 12
a = 12/(π+4)
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Filed Under: Simplification
Exam Prep: Bank Exams

1 1939
Q:

A trader marks his goods in such a way that after allowing a discount of 10% he gains 15%. If an article costs him Rs. 720, his marked price is

A) Rs.920 B) Rs.900
C) Rs.820 D) Rs.950
 
Answer & Explanation Answer: A) Rs.920

Explanation:
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Filed Under: Profit and Loss

5 1939
Q:

Two trains move from stations M and N. Both trains move towards each other at speeds of 54 km/hr and 63 km/hr respectively. When they meeteach other, the second train has travel 100 km more than the first. What is the distance (in km) between M and N

A) 600 B) 700
C) 1300 D) 1500
 
Answer & Explanation Answer: C) 1300

Explanation:
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Filed Under: Problems on Trains

5 1939
Q:

If "-" means "plus", "x" means "divide", "÷" means "multiply" and "+" means "minus", then 26 + 400 x 20 – 21 ÷ 12 = ?

A) 258 B) 219
C) 216 D) 230
 
Answer & Explanation Answer: A) 258

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

1 1938
Q:

If p and q are the roots of the equation x2 –15x + r = 0 and p –q = 1, then what is the value of r ?

A) 55 B) 56
C) 60 D) 64
 
Answer & Explanation Answer: B) 56

Explanation:

In the below equation,

x2–15x + r = 0

sum of roots = p + q = -(-15)/1 = 15 (sum of roots for equation ax2+ bx + c is -b/a)

product of roots = pq = r/1 = r     (product of roots for equation ax2+ bx + c is c/a)

given p –q = 1

also we know that p+q = 15

subtracting the squares of both

(p+q)2 + (p-q)2 = 15^2–1

p2 + q2 + 2pq –p2 –q2 +2pq = 225 -1

4pq = 224

4r = 224

r = 56

 

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1938
Q:

If x3  y3 = 81 and x – y = 3, then what is the value of x2 + y2?

A) 18 B) 21
C) 27 D) 36
 
Answer & Explanation Answer: B) 21

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

2 1937
Q:

P and Q are two alloys which are prepared by mixing tin and lead in the ratio of 12 : 5 and 4 : 3 respectively. If equal quantities of alloys are melted to form athird alloy R, then what is the ratio of tin and lead in alloy R?

A) 84 : 65 B) 57 : 35
C) 76 : 43 D) 78 : 47
 
Answer & Explanation Answer: C) 76 : 43

Explanation:
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Filed Under: Ratios and Proportions

2 1937
Q:

A trader had 1200 kgs of rice. He sold a part of it at 5% profit and the rest at 11% profit, so that he made a total profit of 7%. How much (in kg) wheat did he sell at 5% profit?

A) 900 B) 600
C) 400 D) 800
 
Answer & Explanation Answer: D) 800

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

0 1936