Mathematics questions and answers

Mathematics Questions and Answers

How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.

1,501.

If p = {1, 3, 5, 7, 9} and Q = {2, 4, 6, 8, 10} are subsets of a universal set. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. What are the elements of P1 \(\cap\) Q1?

A.

{1, 3, 5, 7, 9}

B.

[2, 4, 6, 8, 10}

C.

\(\varnothing\)

D.

{1, 2, 6, 8, 10}

Correct answer is C

P1 = {2, 4, 6, 8, 10}; {1, 3, 5, 7, 9}

P1 \(\cap\) q1 = {} or \(\varnothing\)

1,502.

The wheel of a tractor has a diameter 1.4m. What distance does it cover in 100 complete revolutions? [Take \(\pi = \frac{22}{7}\)]

A.

140m

B.

220m

C.

280m

D.

440m

Correct answer is D

radius = \(\frac{diameter}{2}\) = \(\frac{1.4}{2}\)

= 0.7m

circumference = 2\(\pi r = 2 \times \frac{22}{7} \times 0.7m = 4.4m\)

distance covered = 4.4m x 100 = 440m

1,503.

A seller allows 20% discount for cash payment on the marked price of his goods. What is the ratio of the cash payment to the marked price

A.

1:4

B.

1:5

C.

3:4

D.

4:5

Correct answer is D

(1 - \(\frac{20}{100}\)) = cash payment fraction= \(\frac{4}{5}\)

The ratio of the cash payment to the marked price = 4:5

1,504.

If p = [\(\frac{Q(R - T)}{15}\)]\(^ \frac{1}{3}\), make T the subject of the relation

A.

T = R + \(\frac{P^3}{15Q}\)

B.

T = R - \(\frac{15P^3}{Q}\)

C.

T = R + \(\frac{P^3}{15Q}\)

D.

T = 15R - \(\frac{Q}{P^3}\)

Correct answer is B

Cubic both sides; P3 = \(\frac{Q(R - T)}{15}\)

(cross multiplication) Q(R - T) = 15P3

(divide both sides by Q); R - T = 15\(\frac{1}{Q}\)

(subtract r from both sides) - T = \(\frac{15P^3}{Q - R}\)

T = R - \(\frac{15P^3}{Q}\)

1,505.

a conical water-jug is 7cm in diameter and 6cm deep. find the volume of water it can hold. [Take \(\pi = \frac{22}{7}\)]

A.

22cm2

B.

44cm3

C.

77cm3

D.

3082

Correct answer is C

Volume = \(\frac{1}{3} \pi r^2h = \frac{1}{3} \times \frac{22}{7} \times \frac{7}{2} \times \frac{7}{2} \times \frac{6}{1}\)

V = \(\frac{6468}{84}\)

= 77cm3