X and Y are two events. The probability of X or Y is 0.7 and that of X is 0.4. If X and Y are independent, find the probability of Y.

• A. 0.30
• B. 0.50
• C. 0.57
• D. 1.80

The expression ax² + bx + c equals 5 at x = 1. If its derivative is 2x + 1, what are the values of a, b, c respectively?

• A. 1, 3, 1
• B. 1, 2, 1
• C. 2, 1, 1
• D. 1, 1, 3

If the mean of the numbers 0, (x+2), (3x+6), and (4x+8) is 4, find their mean deviation.

• A. 0
• B. 2
• C. 3
• D. 4

Find the sum of the range and the mode of the set of numbers 10, 9, 10, 9, 8, 7, 7, 10, 8, 10, 8, 4, 6, 9, 10, 9, 10, 9, 7, 10, 6, 5

• A. 16
• B. 14
• C. 12
• D. 10

A man wishes to keep his money in a savings deposit at 25% compound interest so that after three years he can buy a car for N150,000. How much does he need to deposit?

• A. N112,000.50
• B. N96,000.00
• C. N85,714.28
• D. N76,800.00

In how many ways can the word MATHEMATICS be arranged?

• A. 11!/(9! 2!)
• B. 11!/(9! 2! 2!)
• C. 11!/(2! 2! 2!)
• D. 11!/(2! 2!)

If the population of a town was 240,000 in January 1998 and it increased by 2% each year, what would be the population of the town in January, 2000?

• A. 480,000
• B. 249,696
• C. 249,600
• D. 244,800

If U = {x : x is an integer and 1 ≤ x ≤ 20

E1 = {x : x is a multiple of 3}

E2 = {x : x is a multiple of 4}

and an integer is picked at random from U, find the probability that it is not in E2

• A. 3/4
• B. 3/10
• C. 1/4
• D. 1/20

A predator moves in a circle of radius √2 centre (0,0), while a prey moves along the line y = x. If 0 ≤ x ≤ 2, at which point(s) will they meet?

• A. (1,1) only
• B. (1,1) and (1,2)
• C. (0,0) and (1,1)
• D. (√2,√2) only

Evaluate 5^-3log₅2 x 2^2log₂3

• A. 8
• B. 1¹/₈
• C.²/₅
• D.¹/₈