The first term of a A.P is 8. The tenth term of the progression is twice the second term. Find the difference

• A. d= 1/7
• B. d= 8/7
• C. d= 5/7
• D. d= 3/7

Which of the following numbers should be added to 11158 to make it exactly divisible by 77?

• (a) 9
• (b) 8
• (c) 7
• (d) 5

Find the value of p for which \(x^{2} - x + p\) becomes a perfect square.

• A. \(-\frac{1}{2}\)
• B. \(\frac{1}{4}\)
• C. \(\frac{1}{2}\)
• D. \(1\)

(a) Given that \(p = x + ym^{3}\), find m in terms of p, x and y.

(b) Using the method of completing the square, find the roots of the equation \(x^{2} - 6x + 7 = 0\), correct to 1 decimal place.

(c) The product of two consecutive positive odd numbers is 195. By constructing a quadratic equation and solving it, find the two numbers.

Two functions f and g are defined by \(f : x \to 3x - 1\) and \(g : x \to 2x^{3}\), evaluate \(fg(-2)\).

• A. -49
• B. -47
• C. -10
• D. -9

Solve for r in the following equation \(\frac{1}{r - 1}\) + \(\frac{2}{r + 1}\) = \(\frac{3}{r}\)

• A. 3
• B. 4
• C. 5
• D. 6

Solve for x and y if x - y = 2 and x2 - y2 = 8

• A. (-1, 3)
• B. (3, 1)
• C. (-3, 1)
• D. (1, 3)

Solve the following simultaneous equation for x. x2 + y - 5 = 0, y - 7x + 3 = 0

• A. -2, 4
• B. 2, 4
• C. -1,8
• D. 1, -8

Cos x is negative and sin x is negative.Which of the following is true of x?

• A. 0^o< x< 90^o
• B. 90^o< x <180^o
• C. 180^o< x< 270^o
• D. 270^o< x <360^o

In a , < PQR = < PRQ = 45°. which of the following statements is/are correct? i. Δ PQR is an equalateral triangle ii. Δ PQR is an isosceles triangle iii. Δ PQR is a right-angled triangle

• A. ii only
• B. i and ii only
• C. ii and iii only
• D. i and ii only