Aptitude and Reasoning Questions

Q:

If tan x = 1, 0 < x < 90, then what is the value of 2 sin x cos x?

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

Explanation:

tan x = 1

then x = 45

2sin x. cos x = 2× 1/√2 x 1/√2 = 1

an x = 1
then
x = 45
o
2sin x. cos x =
2
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Filed Under: Simplification
Exam Prep: Bank Exams

1 2056
Q:

The mean of 20 observations is 19. One more observation is included and the new mean becomes 20. The 21st observation is

A) 20 B) 30
C) 40 D) 42
 
Answer & Explanation Answer: C) 40

Explanation:
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Filed Under: Probability
Exam Prep: Bank Exams

6 2055
Q:

The Simplified form of (b3x2a4z3)*(b4x3a3z2)/(a2b4z3) is

A) b2x4a6z B) b3x2a4z3
C) b3x5a5z2 D) bazx
 
Answer & Explanation Answer: C) b3x5a5z2

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

A machine depreciates in value each year at the rate of 10% of its previous value. However, every second year there is some maintenance work so that in that particular year, depreciation is only 5% of its previous value. If at the end of the fourth year, the value of the machine stands at Rs 1,46,205, then find the value of machine at the start of the first year.

A) Rs 1,90,000 B) Rs 2,00,000
C) Rs 1,95,000 D) Rs 1,98,000
 
Answer & Explanation Answer: B) Rs 2,00,000

Explanation:
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Q:

24 men can repair a road in 50 days. If they are joined by 16 more men, then in how much time (in days) the road can be repaired?

A) 28 B)  25
C) 32 D) 30
 
Answer & Explanation Answer: D) 30

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

1 2054
Q:

In the given figure, MNOP is a parallelogram. PM is extended to Z. OZ intersects MN and PN at Y and X respectively. If OX = 27 cm and XY = 18 cm, then what is the length (in cm) of YZ?

A) 21.4 B) 22.5
C) 23.8 D) 24.5
 
Answer & Explanation Answer: B) 22.5

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

x and y are two numbers such that their mean proportion is 9 and third proportion is 243. What is the value of x and y?

A) 3 and 9 B) 3 and 27
C) 6 and 27 D) 6 and 81
 
Answer & Explanation Answer: B) 3 and 27

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

1 2054
Q:

In the following question, select the related number from the given alternatives.
243 : 578 : : 163 : ?

A) 291 B) 326
C) 347 D) 443
 
Answer & Explanation Answer: B) 326

Explanation:
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Filed Under: Analogy
Exam Prep: Bank Exams

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