Q.1

Find the radius of the largest right circular cone that can be cut out of a cube whose edge is 9 cm.

Q.2

Which number is divisible by 17?
123445, 133365, 32376, 245346

Q.3

Factorise:
x⁴ + x²y² + y⁴

Q.4

If the speed of a swimmer in still water is 9 km/h. Find the downstream speed of the swimmer, when the river is flowing at the speed of 6 km/h.

Q.5

What will come in place of question mark (?) in the number series?
10, 18, 28, 40, 54, 70, ?

Q.6

What will come in place of question mark (?) in the following equation? (approx.)
4433.764 – 2211.993 – 1133.667 + 3377.442 = ?

Q.7

Ten years ago, father was 4 times as old as his son. After 10 years, the father will be twice as old as his son. What is the present age of son?

Q.8

Factorise:

m - 1 - (m - 1)² + ax - a

Q.9

One year ago, the ratio of Harry and Sam age was 6 : 7 respectively. Four years hence their ratio would become 7 : 8. How old is Sam?

Q.10

Evaluate:
81 x 9 + 3² x 3