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.

3,191.

If x is a real number which of the following is more illustrated on the number line?

A.

x < 4

B.

x > -2

C.

-2 < x ≤ 4

D.

-3 ≤ x < 4

E.

-2 ≤ x < 4

Correct answer is E

No explanation has been provided for this answer.

3,192.

M varies directly as n and inversely as the square of p. If M = 3, when n = 2 and p = 1, find M in terms of n and p.

A.

M = 2n/3p

B.

M = 3n2/2p2

C.

M = n2/2p

D.

M = 3n/2p2

E.

M = 2n/3p2

Correct answer is D

\(M \propto \frac{n}{p^2}\)

\(M = \frac{kn}{p^2}\)

\(3 = \frac{k(2)}{1^2}\)

\(3 = 2k \implies k = \frac{3}{2}\)

\(M = \frac{3n}{2p^2}\)

3,193.

If 3p - q = 6 and 2p + 3q = 4, find q

A.

0

B.

1/2

C.

2/3

D.

1

E.

33/7

Correct answer is A

3p - q = 6 ........ 1
2p + 3q = 4 ....... 2
Multiply eqn 1 by 3
9p - 3q = 18 ........ 3
2p - 3q = 4 ......... 2
Add eqn3 and eqn2
11p = 22 => p = 22/11 = 2
Substitute for p =2 in eqn1
3p - q = 6
3x2 - q = 6 => 6 - q = 6 => -q = 6 - 6
q = 0

3,194.

Simplify: \(\frac{5}{x - y} - \frac{4}{y - x}\)

A.

9/x - y

B.

9/y - x

C.

1/x - y

D.

1/y - x

E.

y - 9x/x - y

Correct answer is A

\(\frac{5}{x - y} - \frac{4}{y - x}\)

= \(\frac{5(y - x) - 4(x - y)}{(x - y)(y - x)}\)

= \(\frac{5y - 5x - 4x + 4y}{(x - y)(y - x)}\)

= \(\frac{9y - 9x}{(x - y)(y - x)}\)

= \(\frac{9(y - x)}{(x - y)(y - x)}\)

= \(\frac{9}{x - y}\)

3,195.

Expand (2x - 5)(x - 3)

A.

x2 - 1x -15

B.

2x2 - 11x + 15

C.

22 - 5x - 8

D.

x2 - 5x - 15

E.

2x2 - 6x + 15

Correct answer is B

(2x - 5)(x - 3)
2x\(^2\) - 5x - 6x + 15
2x\(^2\) - 11x + 15