**1. If (****3x****2** **– 11x + p) and (****4x****2** **– 15x + q) both are divisible by (x – 3), then which of the following is true relationship between p and q. **

a) pq = 54 b) q/p = 2 c) p+q=10 d) q – p = 2

**2. ****Find the value of angle APB in the following figure. O is the ****centre**** of the circle and PA and PB are tangents to the circle.**

a) 45° b) 60° c) 15° d) 30°

3.

**4. What is the area of a triangle inscribed in a square ****of ****side ****8 ****cm in such a way that the base ****of ****the ****triangle ****is on one side ****of ****the square and vertex ****of ****the triangle lies at opposite side of the square? ****
**a) 64 cm2 b) 16 cm2 c) 24 cm2 d) 32cm2

5.**In an isosceles triangle ABC, the sum of similar angle ****of ****the triangle is ****half of ****the third angle ****of ****that triangle. Length ****of ****similar sides of the triangle is ****8 ****cm. Find the length ****of ****circumradius of the triangle in ****cm
**a) 12 b) 16 c) 4 d) 12

6.**Five years ago, the average age ****of ****a family ****of four ****members was 20 years. At present, a new member, i.e. son-in-law has joined the family and the son has ****left ****after marriage. Now, the sum of ages of all the ****members of ****the family is 92 years. Find the ****difference ****between age ****of ****son and son-in-law (in years). ****
**a) 6 b) 8 c) 9 d) 7

6.**The volumes ****of ****a sphere and a right circular cylinder having the same radius are ****equal. ****The ratio ****of ****the diameter of the sphere to that of the height of the cylinder ****is
**a) 3 : 2 b) 2 : 3 c) 1 : 2 d) 1 : 3

7.**What least value should be added to 2784 to make it divisible by 12, 13 and 18? ****
**a) 444 b) 24 c) 468 d) 38

8.**If p, q and r are three positive numbers, such that p + q ****= 10****, q + r ****= ****12 and **

p**+ ****r = ****8, what will be the average of p, q and r? ****
**a) 7 b) 15 c) 5 d) 10

9.**What is the unit digit of ****47****44****+82****21****-53****69****? ****
**a) 6 b) 0 c) 3 d) 2

10.**In the given figure, bisectors of angle ABC and angle ACE are produced to intersect at point D. Angle DCE measures ****65°. ****If angle BDC measures ****35****°****, ****find the measure of angle ABD. ****
**a) 45° b) 30° c) 60° d) 15°

** **

## Mini Mock|Free PDF