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

A) 2sec2A B) 2cosecA
C) 2cosec2A D) 2secA
 
Answer & Explanation Answer: C) 2cosec2A

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Q:

In the given figure, the angle bisectors of B and C of an isosceles triangle intersect at point O. Find the angle BOC (in degree), when ABC = ACB = 75°.

A) 105 B) 147.5
C) 160 D) 170
 
Answer & Explanation Answer: A) 105

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Q:

The ratio between the weights of gold and silver in an alloy is 17:3. If the weight of silver in the alloy is 2.7 gm, find the weight of gold in the alloy?

A) 12.6 gm B) 15.3 gm
C) 18 gm D) 21.2 gm
 
Answer & Explanation Answer: B) 15.3 gm

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Filed Under: Ratios and Proportions
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Q:

What is the HCF (highest common factor) of 77 and 275?

A) 12 B) 11
C) 7 D) 25
 
Answer & Explanation Answer: B) 11

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Q:

If a+1a=1, then the value of a2-a+1a2+a+1 is a0

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

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Q:

ABCD is a quadrilateral with AB = 9 cm, BC = 40 cm, CD = 28 cm, DA = 15 cm and angle ABC is a right –angel
What is the difference between perimeter of triangle ABC and perimeter of triangle ADC?

A) 4 cm B) 5 cm
C) 6 cm D) 7 cm
 
Answer & Explanation Answer: C) 6 cm

Explanation:
Perimeter of triangle ABC – Perimeter of triangle ADC = (9+40+41) - (15+28+41) = 6 cm
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Filed Under: Volume and Surface Area
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Q:

ABCD is a trapezium in which AB is parallel to CD and AB = 4(CD). The diagonals of the trapezium intersects at O. What is the ratio of area of triangle DCO to the area of the triangle ABO?

A) 1 : 4 B) 1 : 2
C) 1 : 8 D) 1 : 16
 
Answer & Explanation Answer: D) 1 : 16

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