Quantitative Aptitude - Arithmetic Ability Questions

Q:

If secA + tanA = x, then find the value of x.

A) √[(1 - sinA)/(1 + sinA)] B) (1 + sinA)/(1 - sinA)
C) (1 - sinA)/(1 + sinA) D) √[(1 + sinA)/(1 - sinA)]
 
Answer & Explanation Answer: D) √[(1 + sinA)/(1 - sinA)]

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Q:

What is the value of √[(1 ­- cosA)/(1 + cosA)]?

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

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Q:

The radius of a sphere is 6 cm. It is melted and drawn into a wire of radius 0.2 cm. The length of the wire is

A) 81 m B) 80 m
C) 75 m D) 72 m
 
Answer & Explanation Answer: D) 72 m

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Q:

What is the ratio of radius of incircle and circumcircle for an equilateral triangle with an area of 22√3 sq. units?

A) 1/2 B) 1/4
C) 1/3 D) 2/3
 
Answer & Explanation Answer: A) 1/2

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Q:

A 1.6 m tall observer is 45 meters away from a tower. The angle of elevation from his eye to the top of the tower is 30°, then the height of the tower in meters is

A) 25.98 B) 26.58
C) 27.58 D) 27.98
 
Answer & Explanation Answer: C) 27.58

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Q:

What is the value of Tan 45° - 1/√3 Sec 60°?

A) (1 - 2√3)/2 B) (√2 - √3)/√6
C) (3 - 2√3)/3 D) (1 - 2√2)/2
 
Answer & Explanation Answer: C) (3 - 2√3)/3

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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 of 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) 9 – 81 B) 8 – 64
C) 6 – 36 D) 7 – 47
 
Answer & Explanation Answer: D) 7 – 47

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Q:

If 14.35 - (1.956 - x ) - 83.92 = 3.858 then what is the value of x?

A) -92.456 B) 75.384
C) 71.472 D) 104.084
 
Answer & Explanation Answer: B) 75.384

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