Q.1

Consider an isosceles triangle as shown in the figure below. Find the value of x + y:

Q.2

A borrows Rs. 800 at the rate of 12% per annum simple interest and B borrows Rs. 910 at the rate of 10% per annum simple interest. In how many years will their amounts of debts be equal?

Q.3

If 63.3605 = 6A + 3/B + 3C + 6/D + 5E, then what is the value of 4A + 7B + 6C + D + 3E:

Q.4

Simplify:

(87.4 x 6.5 - 0.1) / (28.4 x 9.8 + 5.68)

Q.5

The ratio of two numbers is 3:7. If the sum of the numbers is 700, find the two numbers:

Q.6

In a triangle PQR, if PQ + QR = 10 cm, QR + PR = 12 cm and PR + PQ = 16 cm, then the perimeter of the triangle is:

Q.7

Which of the following will not be the statement for the algebraic expression 20z?

Q.8

In the given rectangle MNOP, if length is decreased by 3x, then find the new perimeter:

Q.9

Annual incomes of 'A' and 'B' are in the ratio 4:5, respectively. If the income of 'A' increases by 25% and that of 'B' increases by 20%, then what is the new ratio of their incomes respectively?

Q.10

Fill in the blank:

The number of diagonals in a heptagon is _________.