Quantitative Aptitude - Arithmetic Ability Questions

Q:

If a+bab=21 ,  then the value of (a-b) is

A) 1 B) 0
C) -1 D) 2
 
Answer & Explanation Answer: B) 0

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Q:

The orthocentre of an obtuse­angled triangle lies

A) inside the triangle B) outside the triangle
C) on one side of a triangle D) none of these
 
Answer & Explanation Answer: B) outside the triangle

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Q:

tan(A/2) is equal to

A) tanA/(1 + secA) B) 1/(cosecA + cotA)
C) tanA/(1 + cosecA) D) 1/(secA + cotA)
 
Answer & Explanation Answer: A) tanA/(1 + secA)

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Q:

ΔPQR is right angled at Q. If cosP = 5/13, then what is the value of cosecR ?

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

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Q:

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

A) 19 – 57 B) 13 – 39
C) 23 – 69 D) 17 – 53
 
Answer & Explanation Answer: D) 17 – 53

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Q:

Find the difference between place value and face value of 7 in 589573212.

A) 693 B) 6993
C) 69993 D) 699993
 
Answer & Explanation Answer: C) 69993

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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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Q:

The rate of working of A and B are in the ratio of 2:3. The number of days taken by them to finish the work is in the ratio:

A) 2:3 B) 4:9
C) 3:2 D) 9:4
 
Answer & Explanation Answer: C) 3:2

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