Quantitative Aptitude - Arithmetic Ability Questions

Q:

If (1 + cosA)/(1 - cosA) = x, then x is

A) cot2A/(secA - 1)2 B) cot2A/(secA + 1)2
C) tan2A/(secA + 1)2 D) tan2A/(secA - 1)2
 
Answer & Explanation Answer: D) tan2A/(secA - 1)2

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Q:

If P : Q = 9 : 7, then what is the value of (P – Q) : (P + Q)?

A) 1 : 2 B) 1 : 8
C) 1 : 4 D) 2 : 13
 
Answer & Explanation Answer: B) 1 : 8

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Filed Under: Ratios and Proportions
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Q:

If the length of the transverse tangent is 8 cm, then calculate the centre distance (in cm) of the two circles with radii 7 cm and 3 cm.

 

A) √100 B) √120  
C) √164   D) √180
 
Answer & Explanation Answer: C) √164  

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Q:

A circle is inscribed in a square. If the length of the diagonal of the square is 14√2 cm, what is the area of the circle?

A) 308 sq cm B) 462 sq cm
C) 154 sq cm D) 616 sq cm
 
Answer & Explanation Answer: C) 154 sq cm

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Q:

Simplify 81x2 - 49y29x + 7y

A) 9x++7y B) 9x-7y
C) 9x D) 7y
 
Answer & Explanation Answer: B) 9x-7y

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Q:

If the circum radius of the equilateral triangle is 12 cm then what is the value of in radius (in cm) of the triangle?

A) 3 B) 6
C) 8 D) 10
 
Answer & Explanation Answer: B) 6

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Filed Under: Volume and Surface Area
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Q:

If ABCD is a Cyclic Quadrilateral, then the value of Cos2A - Cos2B - Cos2C + Cos2D is

 

 

A) -1 B) 2
C) 1 D) 0
 
Answer & Explanation Answer: C) 1

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Q:

If tan θ + sec θ = (x – 2)/(x + 2), then what is the value of cos θ?

A) (x2 – 1)/(x2 + 1) B) (2x2 – 4)/(2x2 + 4)
C) (x2 – 4)/(x2 + 4) D) (x2 – 2)/(x2 + 2)
 
Answer & Explanation Answer: C) (x2 – 4)/(x2 + 4)

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