Quantitative Aptitude - Arithmetic Ability Questions

Q:

If α and β are the roots of equation x2   x + 1 = 0, then which equation will have roots α3 and β3?

A) x2 + 2x + 1 = 0 B) x2 – 2x – 1 = 0
C) x2 + 3x – 1 = 0 D) x2 – 3x + 1 = 0
 
Answer & Explanation Answer: A) x2 + 2x + 1 = 0

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Q:

The value of 8(sin6θ + cos6θ) - 12(sin4θ + cos4θ) is equal to

A) 20 B) -20
C) 4 D) -4
 
Answer & Explanation Answer: D) -4

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Q:

After excluding stoppages, the speed of a bus is 60 kmph and after including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

A) 10 B) 9
C) 12 D) 15
 
Answer & Explanation Answer: D) 15

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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

A) 15 – 45 B) 11 – 33
C) 15 – 55 D) 19 – 57
 
Answer & Explanation Answer: C) 15 – 55

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Q:

Select the odd word from the given alternatives.

A) Stream B) Rivulet
C) River D) Valley
 
Answer & Explanation Answer: D) Valley

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Q:

If a3+1a3 = 2, then the value of a2+1a?

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

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Q:

√[(1 ­ sinA)/(1 + sinA)] is equal to?

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

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Q:

What must be the length (in cm) of the diagonal of a rectangle if its area and breadth are 60 cm² and 5 cm respectively?

A) 26 B) 8
C) 16 D) 13
 
Answer & Explanation Answer: D) 13

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