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.

1,401.

Given the sets A = [2, 4, 6, 8] and B = [2, 3, 5, 9]. If a number is picked at random from each of the two sets, what is the probability that their difference is 6 or 7?

A.

\(\frac{1}{256}\)

B.

\(\frac{1}{16}\)

C.

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

D.

\(\frac{1}{2}\)

Correct answer is C

\(\begin{array}{c|c} - & 2 & 3 & 5 & 9 \\ \hline 2 & 0 & 1 & 3 & 7 \\ \hline 4 & 2 & 1 & 1 & 5\\ \hline 6 & 4 & 3 & 1 & 3 \\ \hline 8 & 6 &5 & 3 & 1 \end{array}\)

Note: A {horizontal}

B {vertical}

Pr(Difference of 6 or 7) = \(\frac{2}{16} = \frac{1}{8}\)

1,402.

Given the sets A = [2, 4, 6, 8] and B = [2, 3, 5, 9]. If a number is picked at random from each of the two sets, what is the probability that their difference is odd?

A.

1

B.

\(\frac{3}{4}\)

C.

\(\frac{1}{4}\)

D.

zero

Correct answer is D

\(\begin{array}{c|c} x & 2 & 3 & 5 & 9 \\ \hline 2 & 4 & 6 & 10 & 18 \\ \hline 4 & 8 & 12 & 20 & 36 \\ \hline 6 & 12 & 18 & 30 & 54 \\ \hline 8 & 16 & 24 & 40 & 72 \end{array}\)

Note: A {horizontal}

B {vertical}

Pr (Odd Product) = \(\frac{0}{16}\)

= 0

1,403.

Given the sets A = [2, 4, 6, 8] and B = [2, 3, 5, 9]. If a number is selected at random from set B, what is the probability that the number is prime?

A.

1

B.

\(\frac{3}{4}\)

C.

\(\frac{1}{2}\)

D.

\(\frac{1}{4}\)

Correct answer is B

A = [2, 4, 6, 8}

B = {2, 3, 5, 9}

Pr = (Prime in B) = \(\frac{3}{4}\)

1,404.

Solve the inequality 1 - 2x < - \(\frac{1}{3}\)

A.

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

B.

x < -\(\frac{2}{3}\)

C.

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

D.

x > -\(\frac{2}{3}\)

Correct answer is C

1 - 2x < - \(\frac{1}{3}\); -2x < -\(\frac{1}{3}\) - 1

-2x < - \(\frac{1- 3}{3}\)

-2x < - \(\frac{4}{-6}\)

3x -2x < -4; -8x < -4

x > -\(\frac{4}{-6}\) = x > \(\frac{2}{3}\)

1,405.

Find the quadratic equation whose roots are c and -c

A.

x2 - c2 = 0

B.

x2 + 2cx = 0

C.

x2 + 2cx + c2 = 0

D.

x2 - 2cx + c2 = 0

Correct answer is A

Explanation
Roots; x and -c

sum of roots = c + (-c) = 0

product of roots = c x -c = -c2

Equation; x2 - (sum of roots) x = product of roots = 0

x2 - (0)x + (-c2) = 0

x2 - c2 = 0