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.

1,411.

Factorize x2 - 2x - 3xy completely

A.

(x - 2)(3x - y)

B.

(x - 3y)(x - 2)

C.

(x - 3y)(x - 3y)

D.

(3x + y)(x - 2)

Correct answer is B

x2 - 2x - 3xy + 6y = x(x - 2) -3y(x - 2)

= (x - 3y)(x - 2)

1,412.

If (2x + 3)3 = 125, find the value of x

A.

1

B.

2

C.

3

D.

4

Correct answer is A

(2x + 3 )2 = 125

2n + 3 = 3\(\sqrt{125}\)

2x + 3 = 5

2x = 5 - 3

x = \(\frac{2}{2}\)

= 1

1,413.

If \(\frac{3}{2x} - \frac{2}{3x} = 4\), solve for x

A.

\(\frac{4}{5}\)

B.

\(\frac{4}{13}\)

C.

\(\frac{5}{24}\)

D.

\(\frac{13}{24}\)

Correct answer is C

\(\frac{3}{2x} - \frac{2}{3x} = 4\)

\(\frac{9 - 4}{6x}\); \(\frac{5}{6x}\) = 4

5 = 24x ; x = \(\frac{5}{24}\)

1,414.

Two sets are disjoint if

A.

they are both empty

B.

their union is an empty set

C.

their intersection is an empty set

D.

one of them is a subset of the other

Correct answer is C

No explanation has been provided for this answer.

1,415.

Express the square root of 0.000144 in the standard form

A.

1.2 x 10-4

B.

1.2 x 10-3

C.

1.2 x 10-2

D.

1.2 x 10-1

Correct answer is C

\(\sqrt{0.000144}\) = 0.012

= 1.2 x 10-2