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.

2,076.

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 < \(\frac{13}{15}\)

2,077.

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

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

2,079.

A man kept 6 black, 5 brown and 7 purple shirts in a drawer. What is the probability of his picking a purple shirt with his eyes closed?

A.

\(\frac{1}{7}\)

B.

\(\frac{11}{18}\)

C.

\(\frac{7}{18}\)

D.

\(\frac{7}{11}\)

Correct answer is C

Prob. of purple shirt is \(\frac{7}{18}\)

2,080.

Find the probability that a number selected at random from 40 to 50 is a prime

A.

\(\frac{5}{11}\)

B.

\(\frac{5}{11}\)

C.

\(\frac{3}{11}\)

D.

\(\frac{4}{11}\)

Correct answer is C

From 40 to 50 = these number are prime i.e. 41, 43, 47

prob. of selecting a prime No. is \(\frac{3}{11}\)