Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of [2 cot × (p  A)/2]/[1 + tan2× (2p  A)/2]?

A) 2 sin2 A/2 B) cos A
C) sin A D) 2 cos2 A/2
 
Answer & Explanation Answer: C) sin A

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Q:

What is the value of sec 4π/3?

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

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Q:

Expand and simplify (x + 5)2 + (x - 3)2

A) 2(x2 + 2x - 17) B) 2(x2 - 2x + 17)
C) 2(x2 - 2x - 17) D) 2(x2 + 2x + 17)
 
Answer & Explanation Answer: D) 2(x2 + 2x + 17)

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Q:

A balloon leaves from a point P rises at a uniform speed. After 6 minutes, an observer situated at a distance of 450√3 metres from point P observes that angle of elevation of the balloon is 60 deg. Assume that point of observation and point P are on the same level. What is the speed (in m/s) of the balloon?

A) 4.25 B) 3.75
C) 4.5 D) 3.45
 
Answer & Explanation Answer: B) 3.75

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Q:

If (tanA + tanB)/(1 ­ tanAtanB) = x, then the value of x is

A) tan(A + B) B) tan(A -­ B)
C) cot(A + B) D) cot(A ­- B)
 
Answer & Explanation Answer: A) tan(A + B)

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Q:

Find the odd words/letter/number from the given alternatives:

A) January B) April
C) July D) May
 
Answer & Explanation Answer: B) April

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Q:

The average revenues of 7 consecutive years of a company is Rs 79 lakhs. If the average of first 4 years is Rs 74 lakhs and that of last 4 years is Rs 86 lakhs, what is the revenue for the 4th year?

A) Rs 87 lakhs B) Rs 89 lakhs
C) Rs 85 lakhs D) Rs 83 lakhs
 
Answer & Explanation Answer: A) Rs 87 lakhs

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Q:

The ratio of cost price and selling price 25:26. The percent of profit will be

A) 26% B) 25%
C) 1% D) 4%
 
Answer & Explanation Answer: D) 4%

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