WAEC Past Questions and Answers - Page 1145

5,721.

In a class of 50 pupils, 35 like Science and 30 like History. What is the probability of selecting a pupil who likes both Science and History?

A.

0.10

B.

0.30

C.

0.60

D.

0.70

Correct answer is B

Let the number of students that like both Science and History = x

Number of Science only = 35 - x

Number of History only = 30 - x

35 - x + 30 - x + x = 50

65 - x = 50

x = 15

P(Science and History) = \(\frac{15}{50} = 0.30\)

5,722.

In which of the following is purchase of fixed assets on credit first recorders?

A.

Purchases journal

B.

Journal proper

C.

Cash book

D.

General ledger

Correct answer is B

No explanation has been provided for this answer.

5,723.

The probabilities that a husband and wife will be alive in 15 years time are m and n respectively. Find the probability that only one of them will be alive at that time.

A.

mn

B.

m + n

C.

m + n - 2mn

D.

1 - mn

Correct answer is C

P(only one alive) = P(husband and not wife) + P(wife and not husband)

= m (1 - n) + n ( 1 - m)

= m - mn + n - mn

= m + n - 2mn

5,724.

The distance s metres of a particle from a fixed point at time t seconds is given by \(s = 7 + pt^{3} + t^{2}\), where p is a constant. If the acceleration at t = 3 secs is \(8 ms^{-2}\), find the value of p.

A.

\(\frac{1}{3}\)

B.

\(\frac{4}{9}\)

C.

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

D.

\(1\)

Correct answer is A

Differentiate distance twice to get the acceleration and then equate to get p.

\(s = 7 + pt^{3} + t^{2}\)

\(\frac{\mathrm d s}{\mathrm d t} = v(t) = 3pt^{2} + 2t\)

\(\frac{\mathrm d v}{\mathrm d t} = a(t) = 6pt + 2\)

\(a(3) = 6p(3) + 2 = 8 \implies 18p = 8 - 2 = 6\)

\(p = \frac{6}{18} = \frac{1}{3}\)

5,725.

Which of the following source documents is used for recording goods and returned to suppliers?

A.

Invoice

B.

Waybill

C.

Debit note

D.

Credit note

Correct answer is C

No explanation has been provided for this answer.