Mensuration - Mathematics Questions and Answers


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Mathematics » Mensuration

AB is a diameter of a circle with centre O. A tangent is drawn at point A. C is a point on the circle such that BC produced meets the tangent at P. If APC = 62°, then find the measure of the minor arc AC.

A

28º

B

31º

C

62º

D

56º

Mathematics » Mensuration

An equilateral triangle ABC is inscribed in a circle with centre O. D is a point on the minor arc BC and CBD = 40°. Find the measure of BCD.

A

40º

B

30º

C

20º

D

50º

Mathematics » Mensuration

A solid cube of side 8 cm is dropped into a rectangular container of length 16 cm, breadth 8 cm and height 15 cm which
is partly filled with water. If the cube is completely submerged, then the rise of water level (in cm) is:

A

5

B

2

C

4

D

6

Mathematics » Mensuration

In a ABC, points P, Q and R are taken on AB, BC and CA, respectively, such that BQ = PQ and QC = QR. If BAC = 75°, what is the measure of PQR (in degrees)?

A

40

B

30

C

50

D

75