1. Fours years ago, the ratio of the ages of A and B was 2 : 3 and after four years it will become 5 : 7. Find their present ages.

32 years and 48 years

40 years and 56 years

36 years and 40 years

36 years and 52 years

2. The length of a chord of a circle is equal to the radius of the circle. The angle which this chord subtends in the major segment of the circle is equal to —

60°

30°

45°

90°

3. The side AB of a parallelogram ABCD is produced to E in such a way that BE = AB. DE intersects BC at Q. The point Q divides BC in the ratio

2 : 3

1 : 1

2 : 1

1 : 2

4. A conical vessel whose internal radius is 12 cm and height 50 cm is full of liquid. The contents are emptied into a cylindrical vessel with radius (internal) 10 cm. The height to which the liquid rises in the cylindrical vessel is –

25 cm

20 cm

24 cm

22 cm

5. The minimum value of 2 sin2 ø  + 3cos2 ø  is –

3

2

1

0

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