CBSE [ Delhi ]_X_Mathematics_2006_Set I

Find the sum of all the two digit natural numbers divisible by 4.

The 6th term of an Arithmetic Progression (AP) is -10 and the 10^th term is -26. Determine the 15^th term of the AP.

A household article is available for Rs. 2,500 cash or Rs. 520 cash down payment followed by four equal monthly instalments. If the rate of interest charged under the instalment plan is 25% per annum, find the amount of each instalment.

A man borrows Rs. 36,410 from a finance company and has to repay it in three equal annual installments. Find the amount of each installment if the rate of interest is 10% per annum compounded annually.

Solve for x: 12abx² - (9a² - 8b²)x - 6ab = 0

If (x - 2) (x + 3) is the HCF of the polynomials

P(x) = (x² - 3x +2) (2x² + 7x + a) and
Q(x) = (x² + 4x + 3) (3x² - 7x + b).
Find the values of a and b.

Solve for x and y:
         47x + 31y = 63
         31x + 47y = 15

In Figure 3, AB =AC ,Prove that BE = EC

A two-digit number is such that the product of its digits is 35. When 18 is added to the number, the digits interchange their places. Find the number.

In Figure 1, ACB = 90° , CD  AB, prove that CD² = BD.AD.