Quantitative Aptitude - Arithmetic Ability Questions

Q:

A circle has points P, Q, R on a circle in such a way that angle PQR is 60 deg and angle QRP is 80 deg. Calculate the angle subtended by an arc QR at the centre.

 

A) 40 deg B) 80 deg
C) 100 deg D) 120 deg
 
Answer & Explanation Answer: B) 80 deg

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Q:

What is the value of 26 + 152?

A) 17 B) 19
C) 15 D) 21
 
Answer & Explanation Answer: A) 17

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Q:

If 2x -­ 3 ≤ 5 + x and 5 -­ x < 1 + 5x; then x can take which of the following values?

A) -1 B) 1
C) 9 D) -9
 
Answer & Explanation Answer: B) 1

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Q:

ΔDEF is right angled at E. If cosecD = 5/4, then what is the value of cosecF?

A) 5/3 B) 3/4
C) 4/5 D) 4/3
 
Answer & Explanation Answer: A) 5/3

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Q:

If tan θ + sec θ = (x – 2)/(x + 2), then what is the value of cos θ?

A) (x2 – 1)/(x2 + 1) B) (2x2 – 4)/(2x2 + 4)
C) (x2 – 4)/(x2 + 4) D) (x2 – 2)/(x2 + 2)
 
Answer & Explanation Answer: C) (x2 – 4)/(x2 + 4)

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Q:

The volume of a right circular cone, whose radius of the base is same as its altitude, and the volume of a sphere are equal. The ratio of the radius of the cone to the radius of the sphere is

 

A) 33 : 23 B) 2 : 1
C) 1 : 1 D) 43 : 1
 
Answer & Explanation Answer: D) 43 : 1

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Filed Under: Volume and Surface Area
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Q:

The length of a chord which is at a distance of 5cm from the centre of a circle of radius 13cm is

A) 18cm B) 24cm
C) 28cm D) 30cm
 
Answer & Explanation Answer: B) 24cm

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Q:

If cos(A-B) - cos(A+B) = x, then the value of x is

A) 2sinAsinB B) 2cosAcosB
C) 2cosAsinB D) 2sinAcosB
 
Answer & Explanation Answer: A) 2sinAsinB

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