Year : 
2018
Title : 
Mathematics (Core)
Exam : 
JAMB Exam

Paper 1 | Objectives

61 - 62 of 62 Questions

# Question Ans
61.

If X, Y can take values from the set (1, 2, 3 ,4), find the probability that the product of X and Y is not greater than 6

A. \(\frac{5}{8}\)

B. \(\frac{5}{16}\)

C. \(\frac{1}{2}\)

D. \(\frac{3}{8}\)

Detailed Solution

The numbers that are not greater than 6 are either less than 6 or equal to 6.
P(picking a number not greater than 6) = \(\frac{10}{16}\)
= \(\frac{5}{8}\)
There is an explanation video available below.
62.

If \(N = \begin{pmatrix} 3 & 5 & -4 \\ 6 & -3 & -5 \\ -2 & 2 & 1 \end{pmatrix}\), find \(|N|\).

A. 65

B. 23

C. 17

D. 91

Detailed Solution

\(\begin{vmatrix} 3 & 5 & -4 \\ 6 & -3 & -5 \\ -2 & 2 & 1 \end{vmatrix}\)
= \(3(-3 - (-10)) - 5(6 - 10) + (-4)(12 - 6)\)
= \(21 + 20 - 24\)
= 17
There is an explanation video available below.
61.

If X, Y can take values from the set (1, 2, 3 ,4), find the probability that the product of X and Y is not greater than 6

A. \(\frac{5}{8}\)

B. \(\frac{5}{16}\)

C. \(\frac{1}{2}\)

D. \(\frac{3}{8}\)

Detailed Solution

The numbers that are not greater than 6 are either less than 6 or equal to 6.
P(picking a number not greater than 6) = \(\frac{10}{16}\)
= \(\frac{5}{8}\)
There is an explanation video available below.
62.

If \(N = \begin{pmatrix} 3 & 5 & -4 \\ 6 & -3 & -5 \\ -2 & 2 & 1 \end{pmatrix}\), find \(|N|\).

A. 65

B. 23

C. 17

D. 91

Detailed Solution

\(\begin{vmatrix} 3 & 5 & -4 \\ 6 & -3 & -5 \\ -2 & 2 & 1 \end{vmatrix}\)
= \(3(-3 - (-10)) - 5(6 - 10) + (-4)(12 - 6)\)
= \(21 + 20 - 24\)
= 17
There is an explanation video available below.