Mathematics Past Questions and Answers

The binary operation on the set of real numbers is defined by m*n = \(\frac{mn}{2}\) for all m, n \(\in\) R. If the identity element is 2, find the inverse of -5

A \(-\frac{4}{5}\)
B \(-\frac{2}{5}\)
C 4
D 5

Question 22:

If \(\begin{vmatrix} 5 & 3 \\ x & 2 \end{vmatrix}\) = \(\begin{vmatrix} 3 & 5 \\ 4 & 5 \end{vmatrix}\), find the value of x

Question 23:

Given that I₃ is a unit matrix of order 3, find |I₃|

A -1
B O
C 1
D 2

Question 24:

The angles of a polygon are given by x, 2x, 3x, 4x and 5x respectively. Find the value of x.

A 24^o
B 30^o
C 33^o
D 36^o

Question 25:

Calculate the volume of a cuboid of length 0.76cm, breadth 2.6cm and height 0.82cm.

A 3.92cm³
B 2.13cm³
C 1.97cm³
D 1.62cm³