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.

2,201.

If \(12_{e} = X_{7}\), where e = 12, find X.

A.

20

B.

15

C.

14

D.

12

Correct answer is A

\(12_{12} = 1 \times 12^{1} + 2 \times 12^{0} = 12 + 2 = 14_{10}\)

7 14
7 2 rm 0
  0 rm 2

\(\therefore 12_{e} = 20_{7}\)

 

2,202.

The prime factors of 2520 are

A.

2, 9, 5

B.

2, 9, 7

C.

2, 3, 5, 7

D.

2, 3, 7, 9

Correct answer is C

\(2520 = 2 \times 2 \times 2 \times 3 \times 3 \times 5 \times 7\) in terms of its prime factors. Hence, the prime factors of 2520 are 2, 3, 5, 7.

2,203.

Evaluate 2700 000 x 0.03 ÷ 18 000

A.

4.5 x 100

B.

4.5 x 101

C.

4.5 x 102

D.

4.5 x 103

Correct answer is A

\(2700000 \times 0.03 \div 18000\)

= \(\frac{2700000 \times 0.03}{18000}\)

= \(\frac{81000}{18000} = 4.5 \times 10^{0}\)

2,204.

Which of the following is in descending order?

A.

\(\frac{9}{10} \frac{4}{5} \frac{3}{4} \frac{17}{20}\)

B.

\(\frac{4}{5} \frac{9}{10} \frac{3}{4} \frac{17}{20}\)

C.

\(\frac{9}{10} \frac{17}{20} \frac{4}{5} \frac{3}{4}\)

D.

\(\frac{4}{5} \frac{9}{10} \frac{17}{20} \frac{3}{4}\)

Correct answer is C

\(\frac{9}{10} \frac{4}{5} \frac{3}{4} \frac{17}{20}\) = \(\frac{18, 16, 15, 17}{20}\)

\(\frac{4}{5} \frac{9}{10} \frac{3}{4} \frac{17}{20}\) = \(\frac{16, 18, 15, 17}{20}\)

\(\frac{9}{10} \frac{17}{20} \frac{4}{5} \frac{3}{4}\) = \(\frac{18, 17, 16, 15}{20}\)

∴ \(\frac{9}{10}; \frac{17}{20}; \frac{4}{5}; \frac{3}{4}\) is in descending order.

2,205.

Find the probability that a number selected at random from 41 to 56 is a multiply of 9

A.

\(\frac{1}{8}\)

B.

\(\frac{2}{15}\)

C.

\(\frac{3}{16}\)

D.

\(\frac{7}{8}\)

Correct answer is A

Given from 41 to 56

41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56

The nos multiple of 9 are: 45, 54

P(multiple of 9) = \(\frac{2}{16}\)

= \(\frac{1}{8}\)