Quantitative Aptitude - Arithmetic Ability Questions

Q:

Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 4 cm, then what is the area (in cm2) of an equilateral triangle with side equal to the bigger diagonal of the rhombus?

A) 6 B) 9√3
C) 12 D) 12√3
 
Answer & Explanation Answer: D) 12√3

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Q:

ΔABC is right angled at B. If m∠C = 60°, then find the value of (cotA - 1/2).

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

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Q:

If x = at2 and y = 2at then

A) x2 = 4ay B) y2 = 4ax
C) x2 + y 2 = a2 D) x 2 -­ y2 = a 2
 
Answer & Explanation Answer: B) y2 = 4ax

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Q:

If aq-r+br-p-cp-q, then find the value of (pa + qp + rc) is

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

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Q:

If a = √2 + 1 and b = √2 - 1, then the value of 1a+1+1b+1 will be

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

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Q:

The value of Cot17°Cot73°Cos222° + 1Cot17°Sec268° is

A) 0 B) 1
C) 2 D) √3
 
Answer & Explanation Answer: B) 1

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Q:

In a triangle the length of the side opposite the angle which measures 45° is 8 cm, what is the length of the side opposite to the angle which measures 90°?

A) 8√2 cm B) 4√2 cm
C) 8√3 cm D) 4√3 cm
 
Answer & Explanation Answer: A) 8√2 cm

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Q:

If a - b = 3 and a2+b2=25, then the value of ab is

A) 16 B) 8
C) 10 D) 15
 
Answer & Explanation Answer: B) 8

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