WAEC Past Questions and Answers - Page 2976

14,876.

Representative democracy is characterized by

A.

free election and proper register of voters

B.

a politically educated elite

C.

representation of the poor only

D.

rule of the interest groups

Correct answer is A

The characteristic of a representative democracy is simply: People vote for representatives. Of course "vote" means a fair election where people have real choice. 

14,877.

Simplify; \(\frac{1}{2}\sqrt{32} - \sqrt{18} \sqrt{2}\)

A.

zero

B.

\(\sqrt{2}\)

C.

2\(\sqrt{2}\)

D.

4\(\sqrt{2}\0

Correct answer is A

\(\frac{1}{2}\sqrt{32} - \sqrt{18} \sqrt{2}\) = \(\frac{1}{2} (4\sqrt{2}) - 3\sqrt{2} + \sqrt{2}\)

= 2\(\sqrt{2} - 3\sqrt{2} + \sqrt{2}\)

= 3\(\sqrt{2} - 3\sqrt{2} - 3\sqrt{2}\) = 0

14,878.

A box contains black, white and red identical balls. The probability of picking a black ball at random from the box is \(\frac{3}{10}\) and the probability of picking a white ball at random is \(\frac{2}{5}\). If there are 30 balls in the box, how many of them are red?

A.

3

B.

7

C.

9

D.

12

Correct answer is C

Total no of balls = 30

Let x = no. of red balls

Pr(red) = \(\frac{x}{30}\)

Pr(black) = \(\frac{3}{10} = \frac{9}{30}\)

Pr(white) = \(\frac{2}{5} = \frac{12}{30}\)

No. of black balls = 9

No. of white balls = 12

9 = 12 + x = 30

x = 30 - 21

x = 9

No. of red balls = 9

14,879.

The most visible feature of a state is

A.

compulsory membership

B.

defined geographical territory

C.

written constitution

D.

sovereign power

Correct answer is D

There are four essential characteristics of a state which include population, territory, sovereignty, and government.  “The key characteristic of a state. Political sovereignty means the state has absolute supreme authority within the boundary of its territory.

14,880.

A bucket holds 10 litres of water. How many buckets of water will fill a reservoir of size 8m x 7m x 5m.(1 litre = 1000cm3)`

A.

28

B.

280

C.

2800

D.

28000

Correct answer is D

No. of buckets of water = \(\frac{\text{Capacity of reservoir}}{\text{Capacity of buckets}}\)

= \(\frac{800 \times 700 \times 500}{10 \times 1000}\)

= \(\frac{28000 0000}{10000}\)

= 28000