Quantitative Aptitude - Arithmetic Ability Questions

Q:

If cos 21° = x/y, then cosec 21° -­ cos 69° is equal to

A) x2yy2-x2 B) y2xy2-x2
C) y2xx2-y2 D) x2yx2-y2
 
Answer & Explanation Answer: A) x2yy2-x2

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Q:

In the given figure, from the point P two tangents PA and PB are drawn to a circle with centre Oand radius 5 cm. From the point O, OC and OD are drawn parallel to PA and PB respectively. If the length of the chord ABis 5 cm, then what is the value (in deg) of COD?

A) 90 B) 120
C) 150 D) 135
 
Answer & Explanation Answer: B) 120

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Q:

A kite is flying in the sky. The length of string between a point on the ground and kite is 420 m. The angle of elevation of string with the ground is 30 deg. Assuming that there is no slack in the string, then what is the height (in metres) of the kite?

A) 210 B) 140√3
C) 210√3 D) 150
 
Answer & Explanation Answer: A) 210

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Q:

What is the value of cosec 5π/3?

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

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Q:

The ratio of three numbers is 5 : 6 : 8. If the sum of the three numbers is 380, then what is the smallest among the three numbers?

A) 75 B) 80
C) 120 D) 100
 
Answer & Explanation Answer: D) 100

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Filed Under: Ratios and Proportions
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Q:

What is the reflection of the point (3,-5) in the origin?

A) (-3, -5) B) (5,-3)
C) (-5,-3) D) (-3, 5)
 
Answer & Explanation Answer: D) (-3, 5)

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Q:

If cosx.cosy + sinx.siny = -1 then cosx + cosy is

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

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Q:

If tan π/3c + cosec π/6c = x, then x is

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

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