If sin 3y = cos 2y and 0^o \(\leq\) 90^o, find the value of y

• A. 18°
• B. 36°
• C. 54°
• D. 90°

Which of the following numbers is divisible by 3: (i) 541326 (ii) 5967013?

• (a) (ii) only
• (b) (i) only
• (c) (i) & (ii)
• (d) None

Given that = {x: -2< x \(\leq\) 9}, where x is an integer what is n(T)?

• A. 9
• B. 10
• C. 11
• D. 12

The coefficient of the 7th term in the binomial expansion of \((2 - \frac{x}{3})^{10}\) in ascending powers of x is

• A. \(\frac{560}{243}\)
• B. \(\frac{841}{243}\)
• C. \(\frac{1120}{243}\)
• D. \(\frac{4481}{243}\)

Which of the following is not a measure of dispersion?

• A. Mode
• B. Mean deviation
• C. Range
• D. interquartile range

Five people are to be arranged in a row for a group photograph. How many arrangements are there if a married couple in the group insist on sitting next to each other?

• A. 48
• B. 24
• C. 20
• D. 10

P, Q, R, S are points in a plane such that PQ = 8i - 5j, QR = 5i + 7j, RS = 7i + 3j and PS = xi + yj. Find (x, y).

• A. (-6, -15)
• B. (-6, 5)
• C. (20, 5)
• D. (20, 15)

Three consecutive terms of a geometric progression are given as n-2, n and n+3. Find the common ratio

• A. 1/4
• B. 1/2
• C. 2/3
• D. 3/2

\(\begin{pmatrix} -2 & 1 \\ 2 & 3 \end{pmatrix}\) \(\begin{pmatrix}p & q \\ r & s\end{pmatrix}\) = \(\begin{pmatrix} 1 & 0 \\0 & 1 \end{pmatrix}\). What is the value of r?

• A. -1/8
• B. 3/8
• C. 5/8
• D. 14

Find the remainder when 2x³ - 11x² + 8x - 1 is divided by x + 3

• A. -871
• B. -781
• C. -187
• D. -178