Mathematics Past Questions and Answers

If the sum of the first two terms of a G.P. is 3, and the sum of the second and the third terms is -6, find the sum of the first term and the common ratio

A -2
B -3
C -5
D 5

Question 17:

The n^th term of the progression \(\frac{4}{2}\), \(\frac{7}{3}\), \(\frac{10}{4}\), \(\frac{13}{5}\) is ...

A \(\frac{1 - 3n}{n + 1}\)
B \(\frac{3n + 1}{n + 1}\)
C \(\frac{3n + 1}{n - 1}\)
D \(\frac{3n - 1}{n + 1}\)

Question 18:

If a binary operation * is defined by x * y = x + 2y, find 2 * (3 * 4)

A 24
B 16
C 14
D 26

Question 19:

If P = \(\begin{pmatrix} 5 & 3 \\ 2 & 1 \end{pmatrix}\) and Q = \(\begin{pmatrix} 4 & 2 \\ 3 & 5 \end{pmatrix}\), find 2P + Q

A \(\begin{vmatrix} 7 & 7 \\ 14 & 8 \end{vmatrix}\)
B \(\begin{vmatrix} 14 & 8 \\ 7 & 7 \end{vmatrix}\)
C \(\begin{vmatrix} 7 & 7 \\ 8 & 14 \end{vmatrix}\)
D \(\begin{vmatrix} 8 & 14 \\ 7 & 7 \end{vmatrix}\)

Question 20:

Find the inverse \(\begin{pmatrix} 5 & 3 \\ 6 & 4 \end{pmatrix}\)

A \(\begin{vmatrix} 2 & -\frac{3}{2} \\ -3 & -\frac{5}{2} \end{vmatrix}\)
B \(\begin{vmatrix} 2 & -\frac{3}{2} \\ -3 & \frac{5}{2} \end{vmatrix}\)
C \(\begin{vmatrix} 2 & \frac{3}{2} \\ -3 & \frac{5}{2} \end{vmatrix}\)
D \(\begin{vmatrix} 2 & \frac{3}{2} \\ -3 & \frac{5}{2} \end{vmatrix}\)