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Q:

Two chords AB and PQ of a circle intersect at D inside a circle. If AD = 4 cm, DB = 6 cm, QD = 3 cm, the length of PQ is equal to

A) 11 cm B) 8 cm
C) 9 cm D) 10 cm
 
Answer & Explanation Answer: A) 11 cm

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Q:

If O is the centroid and AD, BE and CF are the three medians of Δ ABC with an area of 96 cm2 then the area of Δ BOD in cm2 is

A) 8 B) 12
C) 16 D) 24
 
Answer & Explanation Answer: C) 16

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Q:

If a2b+c=b2C+a=a2a+b=1 then 11+a+11+b+11+c is

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: A) 1

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Filed Under: Simplification

Q:

The average age of 30 boys in a class is 10 years. If the age of their teacher is also included, the average increases by one year. The teacher's age in years is

A) 38 B) 40
C) 30 D) 41
 
Answer & Explanation Answer: D) 41

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Filed Under: Problems on Ages

Q:

If Sinθ = √3/2 and 0°<θ<90°, then the value of tan(θ-15°) is

A) 1 B) 3
C) 31 D) 2
 
Answer & Explanation Answer: A) 1

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Q:

The difference between the largest and the smallest angles of a triangle whose angles are in the ratio of 5:3:10 is

A) 20° B) 30°
C) 50° D) 70°
 
Answer & Explanation Answer: D) 70°

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Q:

The mid points of AB and AC of the Δ ABC are P and Q respectively. If PQ = 6 cm, then the side BC is

A) 10 cm B) 12 cm
C) 8 cm D) 14 cm
 
Answer & Explanation Answer: B) 12 cm

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Q:

If a+1a=2 then the vealue of a5+1a5 will be

A) 0 B) 1
C) 3 D) 2
 
Answer & Explanation Answer: B) 1

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Filed Under: Average