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.

3,681.
3,682.

If 125\(_x\) = 20\(_10\) find x

A.

2

B.

3

C.

4

D.

5

Correct answer is B

125\(_x\) = 20\(_10\)
1 x X\(^2\) + 2 x X\(^1\) + 5x \(^0\) = 20
X2 + 2X + 5 = 20
X\(^2\) + 2X - 15 = 0
(X + 5)( X - 3) = 0
X + 5 implies X = -5
X - 3 implies X = 3
But X cannot be negative
X = 3

3,683.

Add 11012,101112 and 1112

A.

1110112

B.

1101102

C.

1010112

D.

1010102

Correct answer is C

11012 + 101112 + 1112 = 101011

3,684.

The area of a square is 144 sqcm. Find the length of the diagonal.

A.

13 cm

B.

12√2 cm

C.

12 cm

D.

11√3 cm

Correct answer is B

No explanation has been provided for this answer.

3,685.

Find the value of \(\frac{tan 60^o - tan 30^o}{tan 60^o + tan 30^o}\)

A.

\(\frac{4}{\sqrt{3}}\)

B.

\(\frac{2}{\sqrt{3}}\)

C.

1

D.

\(\frac{1}{2}\)

Correct answer is D

\(\frac{tan 60^o - tan 30^o}{tan 60^o + tan 30^o}= \frac{\sqrt{3}-\frac{1}{\sqrt{3}}}{\sqrt{3}+\frac{1}{\sqrt{3}}}\\
=\left(\frac{\sqrt{3}\sqrt{3}-1}{\sqrt{3}}\right)\div \left(\frac{\sqrt{3}\sqrt{3}+1}{\sqrt{3}}\right)\\
=\frac{(3-1)}{(3+1)}\\
=\frac{2}{4}=\frac{1}{2}\)