Quantitative Aptitude - Arithmetic Ability Questions

Q:

A sphere of radius 5 cm is melted to form a cone with base of same radius. The height (in cm) of the cone is

A) 5 B) 10
C) 20 D) 22
 
Answer & Explanation Answer: C) 20

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Q:

If (1 -­ cosA)/(1 + cosA) = x, then the value of x is

A) (cotA + cosecA)2 B) (cotA -­ cosecA)2
C) cotA -  cosecA D) cotA + cosecA
 
Answer & Explanation Answer: B) (cotA -­ cosecA)2

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Q:

In a Δ ABC, DE || BC. D and E lie on AB and AC respectively. If AB = 7 cm and BD = 3cm, then find BC:DE

A) 2:2 B) 3:2
C) 3.5:2 D) 7:2
 
Answer & Explanation Answer: C) 3.5:2

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Q:

The greatest perfect square number of 6 digits is

A) 999001 B) 998001
C) 998009 D) 998101
 
Answer & Explanation Answer: B) 998001

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Q:

The age of Dr. Pandey is four times the age of his son. After 10 years , the age of Dr. Pandey will be twice the age of his son . The present age of Dr. Pandey's son is

A) 4 years B) 5 years
C) 6 years D) 8 years
 
Answer & Explanation Answer: B) 5 years

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Q:

In ΔABC, ∠BAC = 90° and AD is drawn perpendicular to BC. If BD = 7 cm and CD = 28 cm, then what is the length (in cm) of AD?

A) 3.5 B)  7
C) 10.5 D) 14
 
Answer & Explanation Answer: D) 14

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Q:

Incentre of Δ ABC is I. ∠ABC = 90° and ∠ACB = 70°. ∠AIC is

A) 115° B) 100°
C) 110° D) 105°
 
Answer & Explanation Answer: C) 110°

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Q:

The sum of three numbers is 2, the 1st number is 1/2 times the 2nd number and the 3rd number is 1/4 times the 2nd number. The 2nd number is

A) 7/6 B) 8/7
C) 9/8 D) 10/9
 
Answer & Explanation Answer: B) 8/7

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