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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A solid sphere of radius 6 cm is melted and re-casted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder ?

A) 3 cm B) 1.5 cm
C) 1 cm D) 2.5 cm
 
Answer & Explanation Answer: C) 1 cm

Explanation:

Let, inner radius of cylinder be ‘x’ cm.
4/3 π(6)3 = π × 32 (52 − x2)

or, (4 × 6 × 6 × 6) / (3 × 32) = 25 − x2 or, x2 = 25 − 9
or, x = 4 cm
Hence, thickness = 5 – 4 = 1 cm.

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

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Q:

If sin ­- 5π/3 = x, then the value of x is

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

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If x = 1.1, then what is the value of 4x2 -4x + 1 ?

A) 1.21 B) 1.331
C) 2.21 D) 1.2
 
Answer & Explanation Answer: D) 1.2

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The price of an article is cut by 9%, to restore to its original value, the new price must be increased by

A) 9 percent B) 8.83 percent
C) 9.89 percent D) 6.25 percent
 
Answer & Explanation Answer: C) 9.89 percent

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

What least value which should be added to 1812 to make it divisible by 7, 11 and 14?

A) 12 B) 36
C) 72 D) 154
 
Answer & Explanation Answer: B) 36

Explanation:
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Filed Under: Numbers
Exam Prep: Bank Exams

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Q:

How many three digit numbers are there in which all the digits are odd?

A) 100 B) 125
C) 500 D) 250
 
Answer & Explanation Answer: B) 125

Explanation:
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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

The ratio 1 : 5 can be expressed in decimal as

A) 0.5 B) 0.2
C) 0.02 D) 0.1
 
Answer & Explanation Answer: B) 0.2

Explanation:
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Filed Under: Decimal Fractions
Exam Prep: Bank Exams

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Q:

You are given a question and two statements. Identify which of the statements is/are sufficient to answer the question.

Question:

What is the total age of the sisters 10 years from now?

Statements:

1. Lina is 20 years old now.

2. Lina's sister's age is twice that of the age of Lina.

A) Statement 1 alone is sufficient. B) Statements 1 and 2 together are not sufficient.
C) Statement 2 alone is sufficient. D) Statements 1 and 2 together are sufficient.
 
Answer & Explanation Answer: D) Statements 1 and 2 together are sufficient.

Explanation:
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Filed Under: Problems on Ages

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