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.

2,316.

If 2257 is the result of subtracting 4577 from 7056 in base n, find n

A.

8

B.

9

C.

10

D.

11

Correct answer is A

\(\begin{array}{c|c} 7056 \\ \text{- 4577} \\\hline 2257 \end{array}\)
By trial and error method

Let the base to 8

i.e. Let n = 8 and it is easily verified that the subtraction holds.

The subtraction does not hold when other values of n are tried

n = 8

2,317.

Simplify 3\(\frac{1}{3}\) - 1\(\frac{1}{4}\) x \(\frac{2}{3}\) + 1\(\frac{2}{5}\)

A.

2

B.

3

C.

4

D.

5

Correct answer is C

3 - \(\frac{1}{3}\) - (\(\frac{5}{4}\) x \(\frac{2}{3}\)) + 1\(\frac{2}{5}\)

= \(\frac{10}{3}\) - \(\frac{5}{6}\) + \(\frac{7}{5}\)

= \(\frac{100 - 25 + 42}{30}\)

= \(\frac{117}{30}\)

= 3.9

\(\approx\) 4

2,318.

A student has 5 courses to take from Mathematics and physics. There are 4 courses in Mathematics and 3 in Physics which he can choose his courses so that he takes exactly two courses in Physics?

A.

48

B.

12

C.

10

D.

7

Correct answer is B

Mathematics = \(^{4} C_{3} = 4\)

Physics = \(^{3} C_{2} = 3\)

\(\therefore\) He can choose in 4 x 3 = 12 ways.

2,320.

The probability of an event P is \(\frac{3}{4}\) while that of another event Q is \(\frac{1}{6}\). If the probability of both P and Q is \(\frac{1}{2}\). What is the probability of either P or Q.

A.

\(\frac{1}{96}\)

B.

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

C.

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

D.

\(\frac{11}{12}\)

Correct answer is D

Prob of P = \(\frac{3}{4}\)

Prob of Q = \(\frac{1}{6}\)

Prob of both P or Q = \(\frac{3}{4} + \frac{1}{6} = \frac{11}{12}\)