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.

1,801.

The solution of the equation x2 - 2x = 8 is

A.

x = 0 or 2

B.

x = -2 or 4

C.

x = 2

D.

x = -4

E.

x = 2 or 4

Correct answer is B

x2 - 2x = 8 = 8

x2 - 2x - 8 = 0

(x2 - 4x) + (2x - 8) = 0

When x + 2 = 0

x = -2, when x - 4 = 0

x = 4

-2 or 4

1,802.

x is directly proportional to y and inversely proportional to z. If x = 9 when y = 24 and z = 8, what is the value of x when y = 5 and z = 6?

A.

\(\frac{5}{6}\)

B.

11

C.

3\(\frac{3}{5}\)

D.

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

E.

1\(\frac{1}{5}\)

Correct answer is D

x \(\alpha\) y = x \(\alpha\) \(\frac{1}{z}\)

x \(\alpha\) \(\frac{1}{z}\)

x = k \(\frac{y}{z}\)

k = \(\frac{xz}{y}\) = \(\frac{9 \times 8}{24}\)

= 3

x = \(\frac{xz}{y}\)

= \(\frac{3 \times 5}{6}\)

= \(\frac{15}{6}\)

= \(\frac{5}{2}\)

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

1,803.

The annul profits of a transport business were divided between the partners A and B in the ratio 3 : 5. If B received N3000 more than A, the total profit was

A.

N5000

B.

N1800

C.

N12000

D.

N24000

E.

N8000

Correct answer is C

A : B = 3 : 5

Total ratio = 3 + 5 = 8

Let rept, the total profit, A receives \(\frac{3x}{8}\)

\(\frac{5x}{8}\) - \(\frac{3}{x}\) = 3000

\(\frac{5x}{8}\) - \(\frac{3x}{8}\) = 3000

= \(\frac{2x}{8}\)

= 3000

2x = 2400

x = 1200

N12,000

1,804.

In base ten, the number 101101 (base 2) equals

A.

15

B.

4

C.

45

D.

32

E.

90

Correct answer is C

(101101)2 \(\begin{array}{c|c} 2^5 & 2^4 & 2^3 & 2^2 & 2^1 & 2^o\\ \hline 1 & 0 & 1 & 1 & 0 & 1\end{array}\)

= 1 x 25 + 0 x 24 + 1 x 23 + 1 x 22 + 0 x 21 + 1 x 2o

= 32 + 0 + 8 + 4 + 0 + 1

= (45)10

1,805.

After getting a rise of 15%, a man's new monthly salary is N345. How much per month did he earn before the increase?

A.

N330

B.

N396.75

C.

N300

D.

N293.25

E.

N360

Correct answer is C

Let x represent his monthly salary before increase 15% of

x = 345

% profit = (100 + 15)%

= 115%

\(\frac{115}{100}\)x = 345

115x = 34500

x = N300.00