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Q:

ABCD is a rectangle. P is a point on the side AB as shown in the given figure. If Dp = 13, CP = 10

A) √105 B) √133
C) 12 D) 10
 
Answer & Explanation Answer: A) √105

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

Three circle C1, C2 and C3 with radii r1, r2 and r3 (where r1<r2<r3) are placed as shown in the given figure. What is the value of r2?

A) √( r1r3) B) ( r1 + r3)/2
C) (2 r1r2)/( r1 + r2) D) √( r1 + r3)
 
Answer & Explanation Answer: A) √( r1r3)

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Filed Under: Volume and Surface Area
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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:

Two circles are having radii 9 cm and 12 cm. The distance between their centres is 15 cm. What is the length (in cm) of their common chord?

A) 6.8 B) 13.6
C) 7.2 D) 14.4
 
Answer & Explanation Answer: D) 14.4

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Q:

In the given figure, if AD = 12 cm, AE = 8 cm and EC = 14 cm, then what is the value of BD in cm?

A) 50/3 B) 15
C) 8/3 D) 44/3
 
Answer & Explanation Answer: C) 8/3

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Q:

In the given figure, AQ = 4√2 cm, QC = 6√2 cm and AB = 20 cm. If PQ is parallel to BC, then what is the value of PB (in cm) ?

A) 8 B) 12
C) 6 D) 15
 
Answer & Explanation Answer: B) 12

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

In triangle PQR, C is the centroid. PQ = 30 cm, QR = 36 cm and PR = 50 cm. If D is the midpoint of QR, then what is the length (in cm) of CD?

A) (4√86)/3 B) (2√86)/3
C) (5√86)/3 D) (5√86)/2
 
Answer & Explanation Answer: A) (4√86)/3

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Filed Under: Area
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Q:

In the given figure,PQ = PS = SR and QPS = 40 deg, then what is the value of QPR (in deg) ?

A) 45 B) 60
C) 75 D) 50
 
Answer & Explanation Answer: C) 75

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams