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.

2,671.

If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find P \(\cap\) Q

A.

{3}

B.

{2,3}

C.

{2,3,5}

D.

{1,2}

Correct answer is B

P = {2,3,5}

Q = {2,3,6,9}

P \(\cap\) Q = {2,3}

2,672.

Simplify \((\sqrt{6} + 2)^2 - (\sqrt{6} - 2)^2\)

A.

\(2\sqrt{6}\)

B.

\(4\sqrt{6}\)

C.

\(8\sqrt{6}\)

D.

\(16\sqrt{6}\)

Correct answer is C

\((\sqrt{6} + 2)^2 - (\sqrt{6} - 2)^2\)

= \([(\sqrt{6} + 2) + (\sqrt{6} - 2)][(\sqrt{6} + 2) - (\sqrt{6} - 2)]\)

= \((\sqrt{6} + 2 + \sqrt{6} - 2)(\sqrt{6} + 2 - \sqrt{6} + 2)]\)

= \((2\sqrt{6})(4)\)

= \(8\sqrt{6}\)

2,673.

If log3x2 = -8, what is x?

A.

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

B.

\(\frac{1}{9}\)

C.

\(\frac{1}{27}\)

D.

\(\frac{1}{81}\)

Correct answer is D

log3x2 = -8

x2 = 3-8

x = \(3^{-8 \times \frac{1}{2}}\)

x = 3-4

x = \(\frac{1}{3^4}\)

x = \(\frac{1}{81}\)

2,674.

If 27\(^{x + 2}\) \(\div\) 9\(^{x + 1}\) = 3\(^{2x}\), find x.

A.

3

B.

4

C.

5

D.

6

Correct answer is B

\(27^{x + 2} \div 9^{x + 1} = 3^{2x}\)

\(3^{3(x + 2)} \div 3^{2(x + 1)} = 3^{2x}\)

\(3^{3x + 6} \div 3^{2x + 2} = 3^{2x}\)

\(\therefore (3x + 6) - (2x + 2) = 2x\)

\(x + 4 = 2x \implies x = 4\)

2,675.

A man earns N3,500 per month out of which he spends 15% on his children's education. If he spends additional N1,950 on food, how much does he have left?

A.

N525

B.

N1,025

C.

N1,950

D.

N2,975

Correct answer is B

Amount spent on children = \(\frac{15}{100} \times 3500 = N525\)

Amount spent = Amount on children + Additional amount on food

Amount Spent = N525 + N1950 = N2475

Therefore amount left = N3,500 - N2,475 = N1,025