WAEC Past Questions and Answers - Page 2999

14,991.

If M and N are two fixed points in a plane. Find the locus L = [P : PM = PN]

A.

a line equal to MN

B.

line parallel to MN

C.

Perpendicular bisector of MN

D.

A circle centre P, radius MN

Correct answer is C

Locus L = (P : PM = Pn}

For M and N being two fixed points

Since PM = PN, P is equidistant from Mand N, So L must be the perpendicular bisector of the line MN

14,992.

The interior angles of a pentagon are (2x + 5)o, (x + 20)o, xo, (3x - 20)o and (x + 15)o. Find the value of x

A.

80o

B.

70o

C.

65o

D.

40o

Correct answer is C

(2x + 5)o + (xo + 20o) + x + (3x - 20)o + (x + 15)o = (n - 2) x 180

8n + 20 = (5 - 2) x 180

where n = 5(Pentagon)

8n + 20 = 3 x 180

8n + 20 = 540

8n = 540 - 20

8n = 520

x = 65o

14,993.

Use the information to answer the following question

EXPECTED REVENUE
Items Amount ($m)
Rents and royalties 75.00
Company income tax 150.00
Custom and excise duties 300.20
personal income tax 80.00
Fees and fines 60.00
value added tax 100.00

What is the total revenue from non-tax sources?

A.

$400.20 m

B.

$375.20 m

C.

$135.00 m

D.

$75.00 m

Correct answer is C

Total revenue can be written as P × Q, which is the price of the goods multiplied by the quantity of the sold goods.
Non-tax revenue or non-tax receipts are revenue not generated from taxes and from the table above, only rents and royalties do not fall under taxes. 

They include:

Rents and royalties + fees and fines
75.00 + 60.00 = 135.00m

14,994.

Use the information to answer the following question

EXPECTED REVENUE
Items Amount ($m)
Rents and royalties 75.00
Company income tax 150.00
Custom and excise duties 300.20
personal income tax 80.00
Fees and fines 60.00
value added tax 100.00

What is the total revenue from indirect tax

A.

$686.0 m

B.

$400.20 m

C.

$135.80 m

D.

$100.00 m

Correct answer is B

Indirect tax is a tax levied on goods and services rather than on income or profits. Thus we have;

Indirect tax = customs and excise duties + value-added tax
300.20 + 100.00 = 400.20

14,995.

Use the table to answer the following question

 
Quantity Total cost
0 20
1 25
2 28
3 30
4 38
5 55
6 92
7 135

At output level 5, the total variable cost is?

A.

$5.00

B.

$20.00

C.

$55.00

D.

$35.00

Correct answer is D

No explanation has been provided for this answer.