JAMB Mathematics Past Questions & Answers - Page 107

531.

Simplify log101.5 + 3 log102 − log100.3

A.

log104

B.

log1040

C.

log10-40

D.

log104-

Correct answer is B

log101.5 + 3 log102 − log100.3

log101.5 + log1023 − log100.3

[log10(1.5 × 23) ÷ log100.3]

[log10(15/10 × 8 ) ÷ log10( 3/10)]

log10(15/10 × 8 × 10/3 )

log1040

532.

Find the x and z intercepts of the graph of 3x - z \(\leq\) 9

A.

(3, -9)

B.

(-3, 9)

C.

(-3, -9)

D.

(-3, 0)

Correct answer is A

Starting from 3x − z \(\leq\) 9

x = 0, substitute the value of x (i.e. x = 0) into the equation 3x − z \(\leq\) 9

3(0) − z \(\leq\) 9

z \(\leq\) − 9

If z = 0

Then, 3x − 0 \(\leq\) 9

3x \(\leq\) 9

x \(\leq\) 3

Intercept of x and z i.e (x,z)

= (3, -9)

533.
534.

In a town of 6250 inhabitants, there were 62 births during 1984. Find the percentage birth rate

A.

3%

B.

1.0%

C.

2.5%

D.

5.40%

Correct answer is B

Percentage birthrate = \(\frac{62}{6250} \times 100%\)

= \(\frac{6200}{6250}\)

= 0.992% \(\approx\) 1.0%.

535.

In the diagram |XY| = 12cm, |XZ| = 9cm, |ZN| = 3cm and ZY||NM, calculate |MY|

A.

3cm

B.

4cm

C.

5cm

D.

6cm

Correct answer is B

\(\frac{|YM|}{|YX|} = \frac{|ZM|}{|ZX|}\)

\(\frac{|YM|}{12} = \frac{3}{9}\)

|YM| = 3 x \(\frac{12}{9}\)

|MY| = 4cm