Quantitative Aptitude - Arithmetic Ability Questions

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

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Filed Under: Problems on Numbers
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Q:

The total surface area of a hemisphere is 4158 cm2. Find its diameter (in cm).

A) 21 B) 84
C) 42 D) 63
 
Answer & Explanation Answer: B) 84

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Filed Under: Volume and Surface Area
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Q:

A dealer marks his goods 20% above cost price. He then allows some discount on it and makes a profit of 8%. The rate of discount is

A) 4% B) 6%
C) 10% D) 12%
 
Answer & Explanation Answer: C) 10%

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Filed Under: Percentage
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Q:

If the three numbers in the ratio 3:2:5 be such that the sum of the squares is equal to 1862 then which number is the middle one.

A) 16 B) 14
C) 13 D) 15
 
Answer & Explanation Answer: B) 14

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Filed Under: Ratios and Proportions
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Q:

Two whole numbers are such that the square of first number exceeds the second by 112 and the ratio of the numbers is 4:3. What is thevalue of smaller number?

A) 3 B) 4
C) 12 D) 36
 
Answer & Explanation Answer: C) 12

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Filed Under: Ratios and Proportions
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Q:

Visitors to a show were charged Rs. 15 each on the first day, Rs. 7.50 on the second day, Rs. 2.50 on the third day and total attendance on three days were in the ratio 2:5:13 respectively. The average charge per person for the entire three days is

A) Rs. 5 B) Rs. 5.50
C) Rs. 6 D) Rs. 7
 
Answer & Explanation Answer: A) Rs. 5

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Filed Under: Ratios and Proportions
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Q:

If Cos θ = 5/13, then Cosec θ = ?

A) 5/12 B) 12/5
C) 13/5 D) 13/12
 
Answer & Explanation Answer: D) 13/12

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Filed Under: Simplification
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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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