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.

2,041.

In the equation below, Solve for x if all the numbers are in base 2: \(\frac{11}{x}\) = \(\frac{1000}{x + 101}\)

A.

101

B.

11

C.

110

D.

111

E.

10

Correct answer is B

\(\frac{11}{x}\) = \(\frac{1000}{x + 101}\) = 11(x + 101)

1000x = 11x + 1111

1000x - 11x = 1111

101x = 1111

x = \(\frac{1111}{101}\)

x = 11

2,042.

A sum of money was invested at 8% per annum simple interest. If after 4 years the money amounts to N330.00. Find the amount originally invested

A.

N180.00

B.

N165.00

C.

N150.00

D.

N250.00

E.

N200.00

Correct answer is D

S.I = \(\frac{PTR}{100}\)

T = 4yrs, R = 8%, a = N330.00

330 - P = \(\frac{PTR}{100}\), A = P + I

i.e. A = P + \(\frac{PTR}{100}\)

330 = P + \(\frac{P(4) (8)}{100}\)

33000 = 32P + 100p

132P = 33000

P = N250.00

2,043.

Arrange the following numbers in ascending order of magnitude \(\frac{6}{7}\), \(\frac{13}{15}\), 0.8650

A.

\(\frac{6}{7}\) < 0.865 < \(\frac{13}{15}\)

B.

\(\frac{13}{15}\) < \(\frac{6}{7}\) < 0.865

C.

\(\frac{6}{7}\) < \(\frac{13}{15}\) < 0.865

D.

0.865 < \(\frac{6}{7}\) < \(\frac{13}{15}\)

Correct answer is A

\(\frac{6}{7}\), \(\frac{13}{15}\), 0.8650

In ascending order, we have 0.8571, 0.8650, 0.8666

i.e. \(\frac{6}{7}\) < 0.8650 < \(\frac{13}{15}\)

2,044.

If three numbers P, Q, R are in ratio 6 : 4 : 5, find the value of \(\frac{3p - q}{4q + r}\)

A.

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

B.

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

C.

2

D.

3

Correct answer is B

P : Q : r = 6 : 4 : 5

5 = 6 + 4 + 5

= 15

P = \(\frac{6}{15}\), q = \(\frac{4}{15}\), r = \(\frac{5}{15}\) = \(\frac{1}{3}\)

To find \(\frac{3p - q}{4q + r}\)

3p - q = 3 x \(\frac{6}{15}\) - \(\frac{4}{15}\)

\(\frac{18}{15}\) - \(\frac{4}{15}\) = \(\frac{14}{15}\)

∴ 4q + r = 4 x \(\frac{4}{15}\) + \(\frac{5}{15}\)

\(\frac{16}{15}\) = \(\frac{16}{15}\) + \(\frac{5}{15}\)

= \(\frac{21}{15}\)

\(\frac{14}{15}\) x \(\frac{15}{21}\) = \(\frac{14}{21}\)

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