Directions:  In the following two equations questions numbered (I) and (II) are given. You have to solve both equations and
Give answer
(a) If x > y
(b) If x ≥ y
(c) If y > x
(d) If y ≥ x
(e) If x = y or no relation can be established

$$ {I.x^{2}=81}$$
$$ {II.(y-9)^{2}}=0$$

Direction: What approximate value will come in place of the question mark (?) in the following question? (You are not expected to calculate the exact value)

(31.99)^1/5 × (80.78)^1/4 × (5.15)² = ? × 2.29

Tom follows Jerry. In the same time Tom jumps 8 times and Jerry jumps 6 times. But the distance that Tom travels after jumping 7 times is equal to the distance that Jerry goes after jumping 5 times. What is the ratio of the speed of Tom and Jerry?

If the curved surface area of a right circular cone is 10010 sq cm and its slant height is 91 cm, find its total surface area.

The radius of a circle is 14 cm. what is area of another circle having radius 1.5 times the actual circle?

Two equal circles of radius 4 cm intersect each other such that each passes through the center of the other. The length of the common chord is

Of the three numbers whose average is 60, the first is one-fourth of the sum of the whole number. The first number is: