Aptitude and Reasoning Questions

Q:

T is a point on the common tangents at P of two circles and if TA and TB are resectively the other tangents at A and B to the two circles drawn from the point T then

A) TA = 2 TB B) TA = TB
C) TA = 1/2 TB D) 3TA = TB
 
Answer & Explanation Answer: B) TA = TB

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Filed Under: Volume and Surface Area
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Q:

If Sin4A - Cos4A = 1 then (A/2) in degrees is 0° < A  90°

 

A) 60 B) 45
C) 40 D) 30
 
Answer & Explanation Answer: B) 45

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Filed Under: Simplification
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Q:

The difference between the ages of two sisters is 4 years when father's age is 54. Father is elder by 2 years to mother . Younger sister's age is half of mother's age. Find the age of elder sister.

A) 26 B) 27
C) 29 D) 30
 
Answer & Explanation Answer: D) 30

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Filed Under: Problems on Ages
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Q:

The HCF of 20, 28 and 48 is

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

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Filed Under: HCF and LCM
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Q:

Find the total surface area (in cm²) of a right circular cone of diameter 14 cm and slant height 10 cm.

 

A) 374 B) 570
C) 428 D) 524
 
Answer & Explanation Answer: A) 374

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Q:

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

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

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Q:

Two circles touch each other at point X. Two common tangents of the circles meet at point P and none of the tangents passes through X. These tangents touch the larger circle at points B and C. If the radius of the larger circle is 15 cm and CP = 20 cm, then what is the radius (in cm) of the smaller circle?

A) 3.5 B) 3.75
C) 4.25 D) 4.45
 
Answer & Explanation Answer: B) 3.75

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Q:

The angles of depression of two ships from the top of a light house are 60° and 45° towards east. If the ships are 300 m apart, the height of the light house is

A) 200(3+√3) meter B) 250(3+√3) meter
C) 150(3+√3) meter D) 160(3+√3) meter
 
Answer & Explanation Answer: C) 150(3+√3) meter

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