Quantitative Aptitude - Arithmetic Ability Questions

Q:

Triangle DEF is right angled at E. If cot D = 5/12, then what is the value of sin F?

A) 5/12 B) 13/5
C) 5/13 D) 13/12
 
Answer & Explanation Answer: C) 5/13

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Q:

The selling price of an article is 8/5th of its cost price. Then the gain percentage is

A) 20% B) 28%
C) 60% D) 68%
 
Answer & Explanation Answer: C) 60%

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Q:

Find the sum of interior angles of a dodecagon?

A) 1620° B) 1800°
C) 1440° D) 1260°
 
Answer & Explanation Answer: B) 1800°

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Q:

If cosec π/4 - ­ sin π/3 = x, then the value of x is

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

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Q:

Coefficient of x2  in (x + 7)(5 - 3x)(3x - 6) is

A) 96 B) -30
C) 42 D) -18
 
Answer & Explanation Answer: B) -30

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Q:

If secA/√(sec2A ­- 1) = x, then value of x is

A) tanA B) cosecA
C) sinA D) cosA
 
Answer & Explanation Answer: B) cosecA

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Q:

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

A) (cosecA - cotA)2 B) secA - tanA
C) (secA - tanA)2 D) cosecA - cotA
 
Answer & Explanation Answer: C) (secA - tanA)2

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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 area of quadrilateral ABCD?

A) 300 SQ.CM   B) 306 SQ.CM
C) 312 SQ.CM D) 316 SQ.CM
 
Answer & Explanation Answer: D) 316 SQ.CM

Explanation:
Area of quadrilateral ABCD = area of triangle ADC + area of triangle ABC
= 126 + ½ * 9 * 40 = 306
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