Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the equation of the line whose y­-intercept is ­3/4 and making an angle of 45° with the positive x-­axis?

A) 4x -­ 4y = 3 B) 4x - 4y = -­3
C) 3x -­ 3y = 4 D) 3x ­- 3y = -­4
 
Answer & Explanation Answer: A) 4x -­ 4y = 3

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Q:

If 14.35 - (1.956 - x ) - 83.92 = 3.858 then what is the value of x?

A) -92.456 B) 75.384
C) 71.472 D) 104.084
 
Answer & Explanation Answer: B) 75.384

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Q:

If a -­ b = 6 and ab =16, then a3 -­ b3 is

A) 504 B) 702
C) 728 D) 511
 
Answer & Explanation Answer: A) 504

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Q:

What is the value of 2sec2A?

A) secA/(cosecA - ­1) + secA/(cosecA +1) B) cosecA/(secA -­1) + cosecA/(secA +1)
C) cosecA/(cosecA - ­1) + cosecA/(cosecA +1) D) secA/(secA - ­1) + secA/(secA +1)
 
Answer & Explanation Answer: C) cosecA/(cosecA - ­1) + cosecA/(cosecA +1)

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Q:

tan3A is equal to

A) 3tanA -­ tan3A(1 -­ 3tan2A) B) 3tanA + tan3A(1 -­ 3tan2A)
C) 3tanA -­ tan3A(1 + 3tan2A) D) 3tanA + tan3A(1 + 3tan2A)
 
Answer & Explanation Answer: A) 3tanA -­ tan3A(1 -­ 3tan2A)

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Q:

The figure shown below consists of the tangents at the extremeties of any chord. Choose the correct option given below.

A) ∡PAC = ∡PBC B) ∡APC = ∡BPC
C) ∆PAC ≅ ∆PBC D) All options are correct
 
Answer & Explanation Answer: D) All options are correct

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Q:

Divide 32 into two parts such that the sum of the square of the parts is 674. What is the value of the parts?

A) 22, 10 B) 30, 2
C) 25, 7 D) 20, 12
 
Answer & Explanation Answer: C) 25, 7

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Q:

Pipe A can fill an empty cistern in 4 hours while along with Pipe B it can fill it up in 3 hours. Only Pipe A is turned on for an hour after which Pipe B is also turned on. How much total time will it take to fill up the cistern?

A) 3 hrs 20 min B) 3 hrs 25 min
C) 3 hrs 15 min D) 3 hrs
 
Answer & Explanation Answer: C) 3 hrs 15 min

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