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Q:

Length and breadth of a rectangle are 8 cm and 6 cm respectively. The rectangle is cut on its four vertices such that the resulting figure is a regular octagon. What is the side (in cm) of the octagon?

A) 3(√11) – 7	B) 5(√13) – 8
C) 4(√7) – 11	D) 6(√11) – 9

Answer & Explanation Answer: A) 3(√11) – 7

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Q:

In the given figure, ABCDEF is a regular hexagon whose side is 6 cm. APF, QAB, DCR and DES are equilateral triangles. What is the area (in sq.cm) of the shaded region?

A) 24√3	B) 18√3
C) 72√3	D) 36√3

Answer & Explanation Answer: C) 72√3

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Q:

In the given figure, ABCD is a square of side 14 cm. E and F are mid points of sides AB and DC respectively. EPF is a semicircle whose diameter is EF. LMNO is a square . What is the area (in sq.cm) of the shaded region?

A) 108.5	B) 94.5
C) 70	D) 120

Answer & Explanation Answer: B) 94.5

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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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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?