Simplify 10\(\frac{2}{5} - 6 \frac{2}{3} + 3\)

A. 6\(\frac{4}{15}\)

B. 6\(\frac{11}{15}\)

C. 7\(\frac{4}{15}\)

D. 7\(\frac{11}{15}\)

If 23_x = 32₅, find the value of x

A. 7

B. 6

C. 5

D. 4

The volume of a cube is 512cm³. Find the length of its side

A. 6cm

B. 7cm

C. 8cm

D. 9cm

If one student is selected at random, find the probability that he/she scored at most 2 marks

A. \(\frac{11}{18}\)

B. \(\frac{11}{20}\)

C. \(\frac{7}{22}\)

D. \(\frac{5}{19}\)

Simplify: \(\sqrt{12} ( \sqrt{48} - \sqrt{3}\))

A. 18

B. 16

C. 14

D. 12

Given that x > y and 3 < y, which of the following is/are true? i. y > 3 ii. x < 3 iii. x > y > 3

A. i

B. i and ii

C. i and iii

D. i, ii and iii

Three quarters of a number added to two and a half of the number gives 13. Find the number

A. 4

B. 5

C. 6

D. 7

If x = {0, 2, 4, 6}, y = {1, 2, 3, 4} and z = {1, 3} are subsets of u = {x:0 \(\geq\) x \(\geq\) 6}, find x \(\cap\) (Y' \(\cup\) Z)

A. {0, 2, 6}

B. {1, 3}

C. {0, 6)

D. {9}

Find the truth set of the equation x² = 3(2x + 9)

A. {x : x = 3, x = 9}

B. {x : x = -3, x = -9}

C. {x : x = 3, x = -9}

D. {x : x = -3, x = 9}

The coordinates of points P and Q are (4, 3) and (2, -1) respectively. Find the shortest distance between P and Q.

A. 10\(sqrt{2}\)

B. 4\(sqrt{5}\)

C. 5\(sqrt{2}\)

D. 2\(sqrt{5}\)