Quantitative Aptitude - Arithmetic Ability Questions

Q:

If sin π/6 + sec π/6 = x, then x is

A) (2√2-1)/2 B) 5/√3
C) (√6-1)/√2 D) (√3+4)/2√3
 
Answer & Explanation Answer: D) (√3+4)/2√3

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Q:

If cos 45° - ­ sec 30° = x, then value of x is

A) (1+√2)/2 B) (2√2­√3)/2
C) (√3­2√2)/√6 D) 4/√3
 
Answer & Explanation Answer: C) (√3­2√2)/√6

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Q:

Given: 2x - 4 ≤ 2 - x/3 and 2(2x + 5) > 3x - 5, then x can take which of the following values?

A) -14 B) 3
C) 4 D) 14
 
Answer & Explanation Answer: A) -14

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Q:

p3 + q3 + r3  3pqr = 4. If a = q + r, b = r + p and c = p + q, then what is the value of a3 + b3 + c3  3abc?

A) 4 B) 8
C) 2 D) 12
 
Answer & Explanation Answer: B) 8

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Q:

If cosA = x, then x is

A) √(1 - cos2A) B) √(1 + sin2A)
C) √(1 + cos2A) D) √(1 - sin2A)
 
Answer & Explanation Answer: D) √(1 - sin2A)

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Q:

A missile travels at 1278 km/h. How many metres does it travel in one second?

A) 355 metres B) 358 metres
C) 345 metres D) 313 metres
 
Answer & Explanation Answer: A) 355 metres

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Q:

Select the odd word/letters/number/number pair from the given alternatives.

A) FLR B) KQW
C) PIB D) CIO
 
Answer & Explanation Answer: C) PIB

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Q:

An amount fetched a total simple interest of Rs. 3200 at the rate of 6.25 %/yr in 4 years. What is the amount (in Rs)?

A) 13800 B) 11800
C) 12800 D) 14800
 
Answer & Explanation Answer: C) 12800

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