The amount A to which a principal P amounts at r% compound interest for n years is given by the formula A = P(1 + (r ÷ 100)\(^n\). Find A, if P = 126, r = 4 and n = 2.

• A. N132.50K
• B. N136.30K
• C. N125.40K
• D. N257.42K

Three students are working independently on a Mathematics problem. Their respective probabilities of solving the problem are 0.6, 0.7 and 0.8. What is the probability that at least one of them solves the problem?

• A. 0.024
• B. 0.336
• C. 0.664
• D. 0.976

Three forces N, 14N and 16N acting on a particle keep it in equilibrium. Find the angle between the forces 10N and 16N.

The area of a parallelogram is 513cm2 and the height is 19cm. Calculate the base.

• A. 13.5cm
• B. 25cm
• C. 27cm
• D. 54cm

Given that P = {x : 1 \(\geq\) x \(\geq\) 6} and Q = {x : 2 < x < 10}. Where x are integers, find n(p \(\cap\) Q)

• A. 4
• B. 6
• C. 8
• D. 10

Eighty-Four is twelve times a particular number. What is eleven times that number?

• A. 7
• B. 84
• C. 132
• D. 77

Without using tables, evaluate \((343)^{\frac{1}{3}} \times (0.14)^{-1} \times (25)^{-\frac{1}{2}}\)

• A. 10
• B. 12
• C. 8
• D. 7

An operation * is defined on the set of real numbers by a*b = a + b + 1. If the identity elements is -1, find the inverse of the element 2 under *.

• A. 4
• B. zero
• C. -2
• D. -4

A binary operation ⊗ is defined by m⊗n=mn+m−n on the set of real numbers, for all m, n ∈ R. Find the value of 3 ⊗ (2 ⊗ 4).

• A. 6
• B. 25
• C. 15
• D. 18

(a) A body P of mass q kg is suspended by two light inextensible strings AB and DB attached to a horizontal table. The strings are inclined at 30° and 60° respectively to the horizontal and the tension in AB is 48N. If the system is in equilibrium :

(i) sketch a diagram to represent the information ; (ii) calculate the tension in DB ;