WAEC Past Questions and Answers - Page 3760

18,796.

The definition of economics as 'the science which studies human behaviuor as a relationship between ends and scarce means which have alternative uses' was given by

A.

Adam Smith

B.

David Ricardo

C.

Lionel Robbins

D.

Thomas R. Mtithus

E.

Robert Giffen

Correct answer is C

No explanation has been provided for this answer.

18,797.

Which of the following is not a reason why statutory are run only by the government?

A.

The duplication of some services will lead to resource wastage

B.

All corporation provides services which individuals cannot provide

C.

Essential services must be provided irrespective of the economic system adopted

D.

Some corporations require large financial capital which may not be easy to acquire by individuals

E.

There is need to protect consumers from exploitation

Correct answer is A

No explanation has been provided for this answer.

18,798.

In the diagram, \(R\hat{P}Q = Q\hat{R}Y, \hspace{1mm} P\hat{Q}R = R\hat{Y}Q, \\ \hspace{1mm}|QP| = 3cm \hspace{1mm}|QY| = 4cm \hspace{1mm}and \hspace{1mm}|RY | = 5cm. \hspace{1mm} Find \hspace{1mm}|QR|\)

A.

2.0cm

B.

2.5cm

C.

6.4cm

D.

10.0cm

Correct answer is C

\(\frac{PR}{QR} = \frac{QR}{QY} = \frac{QP}{YR}\) (SSS Congruence)

\(\frac{QR}{4} = \frac{8}{5}\)

\(QR = \frac{4 \times 8}{5}\)

= 6.4 cm

18,799.

A school girl spends \(\frac{1}{4}\) of her pocket money on books and \(\frac{1}{3}\) on dress. What fraction remains?

A.

\(\frac{5}{6}\)

B.

\(\frac{7}{12}\)

C.

\(\frac{5}{12}\)

D.

\(\frac{1}{6}\)

Correct answer is C

Let the girls pocket money be rep. by x. The amount spent on books = \(\frac{1}{4}of\hspace{1mm}x = \frac{x}{4}\)
The amount spent on dress \(=\frac{1}{3} of \hspace{1mm}x=\frac{x}{3}\)
∴The fraction that remains = \(\frac{x}{1}-\left(\frac{x}{4}+\frac{x}{3}\right)\\
\frac{3x+4x}{12}; = \frac{12x-7x}{12} = \frac{5x}{12} = \frac{5}{12}\)

18,800.

Solve for t in the equation \(\frac{3}{4}t+\frac{1}{3}(21-t)\) = 11,

A.

\(\frac{9}{13}\)

B.

\(\frac{9}{5}\)

C.

5

D.

\(9\frac{3}{5}\)

Correct answer is D

\(\frac{3}{4}t+\frac{1}{3}(21-t) = 11; \frac{3t}{4} + \frac{7}{1} - \frac{t}{3} = \frac{11}{1}\\
\frac{3 \times 3t + 7\times 12 – 4 \times t = 11 \times 12}{12}\\
9t + 84 – 4t = 132; 5t = 132 – 84\\
5t = 48; t = \frac{48}{5} = 9\frac{3}{5}\)