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.

2,481.

In a basket of fruits, there are 6 grapes, 11 bananas and 13 oranges, if one fruit is chosen at random, what is the probability that the fruit is either a grape or a banana?

A.

\(\frac{17}{30}\)

B.

\(\frac{11}{30}\)

C.

\(\frac{6}{30}\)

D.

\(\frac{5}{30}\)

Correct answer is A

Pgrape or Pbanana = \(\frac{6}{30}\) + \(\frac{11}{30}\)

= \(\frac{17}{30}\)

2,482.

Find the difference between the range and the variance of the following set of numbers 4, 9, 6, 3, 2, 8, 10, 5, 6, 7 where \(\sum d^2\) = 60

A.

2

B.

3

C.

4

D.

6

Correct answer is A

Range : 10 - 2 = 8

Variance = \(\frac{\sum d^{2}}{n}\)

= \(\frac{60}{10}\)

= 6

8 - 6 = 2.

2,484.

If \(y = x(x^4 + x + 1)\), evaluate \(\int \limits_{0} ^{1} y \mathrm d x\).

A.

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

B.

1

C.

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

D.

zero

Correct answer is B

\(y = x(x^{4} + x + 1) = x^{5} + x^{2} + x\)

\(\int \limits_{0} ^{1} (x^{5} + x^{2} + x) \mathrm d x = \frac{x^{6}}{6} + \frac{x^{3}}{3} + \frac{x^{2}}{2}\)

= \([\frac{x^{6}}{6} + \frac{x^{3}}{3} + \frac{x^{2}}{2}]_{0} ^{1}\)

= \(\frac{1}{6} + \frac{1}{3} + \frac{1}{2}\)

= \(1\)

2,485.

Integrate \(\frac{1}{x}\) + cos x with respect to x

A.

-\(\frac{1}{x^2}\) + sin x + k

B.

x + sin x - k

C.

x - sin x + k

D.

-\(\frac{1}{x^2}\) - sin x + k

Correct answer is C

\(\int \frac{1}{x} + \cos x = ln x - \sin x + k\)