Aptitude and Reasoning Questions

Q:

If sec 300° = x, then value of x is

A) ­√2 B) 1/√3
C) 2 D) ­1
 
Answer & Explanation Answer: C) 2

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

A cistern has one inlet, L and one inlet, M. L takes 5 hours to fill the empty tank, when M is not open and M takes 8 hours to empty the full tank, if the tank is two fifth full, how much time will it take to fill the tank completely when both L and M are opened simultaneously? (in hours)

A) 5 hours B) 3 hours
C) 6 hours D) 8 hours
 
Answer & Explanation Answer: D) 8 hours

Explanation:
If the tank is 2/5th full, then remaining empty tank will be = 1-2/5=3/5th
L and M can fill the empty tank in = (5*8)/(8-5)=40/3 hours

Then 3/5 th tank fill in =40/3 * 3/5= 8 hours

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Filed Under: Pipes and Cistern
Exam Prep: Bank Exams

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Q:

Find the LCM of 3.2, 2.72, 1.28 and 1.44

A) 24.48 B) 2448
C) 2.448 D) 244.8
 
Answer & Explanation Answer: A) 24.48

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Filed Under: HCF and LCM
Exam Prep: Bank Exams

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Q:

If 310 × 272 = 92 × 3n then the value of n is

A) 10 B) 12
C) 15 D) 20
 
Answer & Explanation Answer: B) 12

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Filed Under: Simplification

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Q:

A can finish a work in 7 days . B can finish the same work in 9 days . The days required to finish the work by both of them together.

A) 31/16 B) 47/16
C) 63/16 D) 79/16
 
Answer & Explanation Answer: C) 63/16

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Filed Under: Time and Work
Exam Prep: Bank Exams

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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

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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

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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

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Q:

Out of the four option figures, three are similar in a certain manner. However, one figure is NOT like the other three. Select the figure which is different from the rest.

A) A B) D
C) B D) C
 
Answer & Explanation Answer: B) D

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Filed Under: Image Analysis
Exam Prep: AIEEE , Bank Exams , CAT

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