JAMB Mathematics Past Questions & Answers - Page 64

316.

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.

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

Correct answer is A

x 1 2 3 4
1 1* 2* 3* 4*
2 2* 4* 6* 8
3 3* 6* 9 12
4 4* 8 12 16

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) = \(\frac{10}{16}\)

= \(\frac{5}{8}\)

317.

In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm, find h.

A.

12cm

B.

10cm

C.

8cm

D.

5cm

Correct answer is D

From the diagram, PQRS is a rectangle

Area of shaded part = 72sq.cm

But 72 = 3h - 4 + 6h - 4 + 4h

= 72 - 16h - 8

= 16h - 72 + 8

=16h = 80

h = \(\frac{80}{16}\)

= 5cm

318.

Solve \(5^{2(x - 1)} \times 5^{x + 1} = 0.04\)

A.

\(\frac{1}{3}\)

B.

\(\frac{1}{4}\)

C.

\(-\frac{1}{5}\)

D.

\(-\frac{1}{3}\)

Correct answer is D

\(5^{2(x - 1)} \times 5^{x + 1} = 0.04\)

\(5^{2x - 2} \times 5^{x + 1} = 5^{-2}\)

\(2x - 2 + x + 1 = -2\)

\(3x - 1 = -2 \implies 3x = -2 + 1 = -1\)

\(x = -\frac{1}{3}\)

319.

Subtract 16418\(_9\) from 18630\(_9\).

A.

1121\(_9\)

B.

2112\(_9\)

C.

2113\(_9\)

D.

2211\(_9\)

Correct answer is D

18630\(_9\) - 16418\(_9\) = 2211\(_9\)