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Q:

In the given figure, PQR is a triangle and quadrilateral ABCD is inscribed in it. QD = 2 cm, QC = 5 cm, CR = 3 cm, BR = 4 cm, PB = 6 cm, PA = 5 cm and AD = 3 cm. What is the area in sq.cm of the quadrilateral ABCD?

A) (23√21)/4 B) (15√21)/4
C) (17√21)/5 D) (23√21)/5
 
Answer & Explanation Answer: C) (17√21)/5

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Filed Under: Area
Exam Prep: Bank Exams

Q:

ABC is a triangle. AB = 5 cm, AC = √41 cm and BC = 8 cm. AD is perpendicular to BC. What is the area (in cm2) of triangle ABD?

A) 12 B) 6
C) 10 D) 20
 
Answer & Explanation Answer: B) 6

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Q:

The radius of two circles is 3 cm and 4 cm. The distance between the centres of the circles is 10 cm. What is the ratio of the length of direct common tangent to the length of the transverse common tangent?

A) √51 : √68 B) √33 : √17
C) √66 : √51 D) √28 : √17
 
Answer & Explanation Answer: B) √33 : √17

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Q:

In the given figure, two identical circles of radius 4 cm touch each other. A and B are the centres of the two circles. If RQ is a tangent to the circle, then what is the length (in cm) of RQ?

A) 3√3 B) 2√6
C) 4√2 D) 6√2
 
Answer & Explanation Answer: C) 4√2

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Q:

In the given figure, O is centere of the circle. Circle has 3 tangents. If angle QPR = 45 deg, then what is the value (in deg) of angle QOR ?

A) 67.5 B) 72
C) 78.5 D) 65
 
Answer & Explanation Answer: A) 67.5

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Q:

In the given figure, ABC is a right angled triangle. ABC = 90 deg and ACB = 60 deg. If the radius of the smaller circle is 2 cm, then what is the radius (in cm) of the larger circle?

A) 4 B) 6
C) 4.5 D) 7.5
 
Answer & Explanation Answer: B) 6

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

Q:

AB and AC are the two tangents to a circle whose radius is 6 cm. If ∠BAC = 60 deg, then what is the value (in cm) of √(AB2 + AC2)?

A) 6√6 B) 4√6
C) 9√3 D) 8√3
 
Answer & Explanation Answer: A) 6√6

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Q:

In the given figure, AB = 30 cm and CD = 24 cm. What is the value (in cm) of MN?

A) 18 B) 9
C) 12 D) 15
 
Answer & Explanation Answer: A) 18

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