Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of sin 330°?

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

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Q:

The line passing through the point (5,a) and point (4,3) is perpendicular to the line x - 6y = 8. What is the value of 'a'?

A) -3 B) -2
C) 4 D) 5
 
Answer & Explanation Answer: A) -3

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Q:

Given that the polynomial (x2+ ax+ b) leaves that same remainder when by (x –1) or (x + 1) What are the values of a and b respectively?

A) 4 and 0 B) 0 and 3
C) 3 and 0 D)  0 and any interger
 
Answer & Explanation Answer: D)  0 and any interger

Explanation:

Since x^2+ ax + b when divided by x-1 or x+1 leaves the same remainder

So on putting x=1 and x=-1 we get the same value

1+a+b = 1-a+b

2a=0

a=0

here b can take any value as it will always get cancelled out

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Q:

If 5 - 2x ≥ 4 - x and 3(2 - x) > 2 - 4x; then x can take which of the following values?

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

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Q:

If cosec 45° - sin 30° = x, then x is

A) 5/√3 B) (√6-1)/√2
C) √3+2 D) (2√2-1)/2
 
Answer & Explanation Answer: D) (2√2-1)/2

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Q:

Two students appeared for an examination. One of them secured 22 marks more than the other and his marks were 55% of the sum of their marks. The marks obtained by them are _______.

A) 121 and 99 B) 43 and 21
C) 58 and 36 D) 86 and 64
 
Answer & Explanation Answer: A) 121 and 99

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Q:

If -5x3+2 = x-6, then find the value of x?

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

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Q:

Which among the following is a mismatched pair of religion practiced and its holy book?

A) Islam : Quran B) Sikhism : Guru Granth Saheb
C) Jainism : Upanishad D) Christianity : Bible
 
Answer & Explanation Answer: C) Jainism : Upanishad

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