Quantitative Aptitude - Arithmetic Ability Questions

Q:

If x – 4y = 0 and x + 2y = 24, then what is the value of (2x + 3y)/(2x – 3y)?

A) 9/5 B) 11/5
C) 13/7 D) 9/7
 
Answer & Explanation Answer: B) 11/5

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Q:

The first and last terms of an arithmetic progression are 25 and ­52. What is the sum of the series if it has 12 terms?

A) -162 B) -110
C) 162 D) 110
 
Answer & Explanation Answer: A) -162

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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) 23 – 24 B) 25 – 26
C) 27 – 28 D) 29 – 27
 
Answer & Explanation Answer: D) 29 – 27

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Q:

Expand and simplify (x + 4)2 + (x -­ 2)2

A) 2(x2 + 2x + 10) B) 2(x2 + 2x -­ 10)
C) 2(x2 -­ 2x + 10) D) 2(x2 -­ 2x ­- 10)
 
Answer & Explanation Answer: A) 2(x2 + 2x + 10)

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Q:

If x = 1 + √2 + √3 , then the value of 2x4 - 8x3 - 5x2 + 26x - 28 is

A) 2√2 B) 3√3
C) 5√5 D) 6√6
 
Answer & Explanation Answer: D) 6√6

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Q:

If x = a cosθ+ b sinθ and y = b cosθ- a sinθ, then x2 + y2 is equal to

A) ab B) a2+b2
C) a2-b2 D) 1
 
Answer & Explanation Answer: B) a2+b2

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Q:

A ladder 20 m long is leaning against a vertical wall. It makes an angle of 30 deg with the ground. How high on the wall does the ladder reach?

A) 10 m B) 17.32 m
C) 34.64 m D) 3 m
 
Answer & Explanation Answer: A) 10 m

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Q:

The mean of the data 2, 9, 9, 3, 6, 9, 4 is

A) 33/7 B) 6
C) 43/7 D) 7
 
Answer & Explanation Answer: B) 6

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