WAEC Past Questions and Answers - Page 3864

19,316.

From the diagram, find the bearing of Q from P.

A.

236o

B.

214o

C.

146o

D.

124o

Correct answer is A

No explanation has been provided for this answer.

19,317.

If (x + 3) varies directly as y and x = 3 when y = 12, what is the value of x when y = 8?

A.

1

B.

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

C.

\(-\frac{}{}\)

D.

-1

Correct answer is A

\((x+3) \propto y\\
∴x + 3 = ky\hspace{1mm}when\hspace{1mm}x = 3, y = 12\\
3+3 = 12k\\
∴ k = \frac{1}{2}\\
\Longrightarrow x + 3 = \frac{1}{2}y\) to find x when y = 8
\(x + 3 = \frac{1}{2}\times 8\\
x=4-3\\
x = 1\)

19,318.

The ratio of the number of men to the number of women in a 20 member committee is 3:1. How many women must be added to the 20-member committee so as to make the ratio of men to women 3:2?

A.

2

B.

3

C.

7

D.

9

Correct answer is B

20 members in the ratio 3:1

Number of women = \(\frac{1}{4} \times 20\)

= 5

Let the number of women to be added = x

Total number of members in the committee = 20 + x

\(\frac{5 + x}{20 + x} = \frac{2}{5}\)

\(5(5 + x) = 2(20 + x)\)

\(25 + 5x = 40 + 2x \implies 5x - 2x = 40 - 25\)

\(3x = 15 \implies x = 5\)

19,319.

Points X, Y and Z are located in the same horizontal plane such that Y is 12 km north of X and Z is on a bearing of 270° from X. If |XZ| = 6km, calculate, correct to one decimal place, lYZl

A.

18km

B.

13.4km

C.

13km

D.

10.4km

Correct answer is B

ZY\(^2\) = 12\(^2\) + 6\(^2\)

ZY\(^2\) = 144 + 36 = 180

ZY = \(\sqrt{180}\)

= \(13.416\)

= 13.4 km

 

19,320.

If log 2 = 0.3010 and log 2\(^y\) = 1.8062, find; correct to the nearest whole number, the value of y.

A.

6

B.

5

C.

4

D.

-5

Correct answer is A

\(log2 = 0.3010\hspace{1mm}given\\
log2^y = 1.8062\\
∴ ylog2 = 1.8062\\
y=\frac{1.8062}{logy}=\frac{1.8062}{0.3010}=6\)