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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

If secθ + tanθ = 4, then secθ - tanθ = ?

A) 1 B) 0.25
C) 0.5 D) 0.75
 
Answer & Explanation Answer: B) 0.25

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Q:

In the circle above, chord AB is extended to meet the tangent DE at D. If AB = 5 cm and DE = 6 cm, find the length of BD.

 

A) 4 cm B) 5 cm
C) 6 cm D) √30 cm
 
Answer & Explanation Answer: A) 4 cm

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Q:

Which one of the following combination of measurements can form the sides of a triangle?

A) 9 cm, 6 cm, 2 cm B) 11 cm, 3 cm, 12 cm
C) 3 cm, 5 cm, 8 cm D) 5 cm, 7 cm, 13 cm
 
Answer & Explanation Answer: B) 11 cm, 3 cm, 12 cm

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Q:

PQR is an equilateral triangle. MN is drawn parallel to QR such that M is on PQ and N is on PR. If PN = 6 cm, then the length of MN is

A) 3 cm B) 6 cm
C) 12 cm D) 4.5 cm
 
Answer & Explanation Answer: B) 6 cm

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Q:

What is the simplified value of (cosec A + sin A)(cosec A – sin A)?

A) cos2A + cot2A B) 2 cos2A
C) 2 cot2A D) 2 cos A cot A
 
Answer & Explanation Answer: A) cos2A + cot2A

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Q:

The point R(a,b) is first reflected in origin to R1 and R1 is reflected in x­axis to (­-4,2). The co-­ordinates of point R are

A) (­4,­-2) B) (­-4,2)
C) (4,2) D) (-4,­-2)
 
Answer & Explanation Answer: C) (4,2)

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Q:

What is the value of (cot45 - √2) ?

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

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Q:

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:3 and area of ΔABC is 100 sq cm, what is the area (in sq cm) of quadrilateral BDEC?

A) 84 B) 16
C) 25 D) 75
 
Answer & Explanation Answer: A) 84

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