Jamb Mathematics 1992 Past Questions and Answers

Question 21:

• JAMB 1992

If the binary operation \(\ast\) is defined by m \(\ast\) n = mn + m + n for any real number m and n, find the identity of the elements under this operation

A. E = 1
B. E = -1
C. E = -2
D. E = 0

Question 22:

• JAMB 1992

p = \(\begin{vmatrix} x & 3 & 0 \\ 2 & y & 3\\ 4 & 2 & 4 \end{vmatrix}\)
Q = \(\begin{vmatrix} x & 2 & z \\ 3 & y & 2\\ 0 & 3 & z \end{vmatrix}\) Where p^T is the transpose P calculate /p^T/ when x = 0, y = 1 and z = 2

A. 48
B. 24
C. -24
D. -48

Question 23:

• JAMB 1992

p = \(\begin{vmatrix} x & 3 & 0 \\ 2 & y & 3\\ 4 & 2 & 4 \end{vmatrix}\)
Q = \(\begin{vmatrix} x & 2 & z \\ 3 & y & 2\\ 0 & 3 & z \end{vmatrix}\)
PQ is equivalent to

A. PP^T
B. Pp^-1
C. Qp
D. Pp

Question 24:

• JAMB 1992

If the angles of quadrilateral are (p + 10)°, (2p - 30)°, (3p + 20)° and 4p°, find p.

A. 63
B. 40
C. 36
D. 28

Question 25:

• JAMB 1992

Determine the distance on the earth's surface between two town P (lat 60°N, Long 20°E) and Q(Lat 60°N, Long 25°W) (Radius of the earth = 6400km)

A. \(\frac{800\pi}{9}\)km
B. \(\frac{800\sqrt{3\pi}}{9}\)km
C. 800\(\pi\) km
D. 800\(\sqrt{3\pi}\) km