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.

2,511.

A survey of 100 students in an institution shows that 80 students speak Hausa and 20 students speak Igbo, while only 9 students speak both language. How many students speak neither Hausa nor Igbo?

A.

0

B.

9

C.

11

D.

20

Correct answer is B

Let the number of students that speak Hausa and Igbo be represented by H and I respectively.

n(H only) = 80 - 9 = 71.

n(I only) = 20 - 9 = 11.

n(neither H nor I) = 100 - (71 + 9 + 11)

= 100 - 91 = 9 students.

2,512.

If U = (s, p, i, e, n, d, o, u, r), X = (s, p, e, n, d) Y = (s, e, n, o, u), Z = (p, n, o, u, r) find X ∩( Y ∪ Z)

A.

(p, o, u, r)

B.

(s, p, d, r)

C.

(s, p, n, e)

D.

(n, d, u)

Correct answer is C

\(Y \cup Z\) = \({s, e, n, o, u, p, r}\)

\(X \cap (Y \cup Z)\) = \({p, e, n}\)

2,513.

Find the simple interest rate percent per annum at which N1,000 accumulates to N1,240 in 3 years

A.

6%

B.

8%

C.

10%

D.

12%

Correct answer is B

1 = \(\frac{PRT}{100}\)

1 = 1240 - 1000

= 240

R = \(\frac{240 \times 100}{100 \times 3}\)%

= 8%

2,514.

Simplify \(\frac{2\sqrt{3} + 3\sqrt{5}}{3\sqrt{5} - 2\sqrt{3}}\)

A.

\(\frac{19 + 4\sqrt{25}}{11}\)

B.

\(\frac{19 + 4\sqrt{15}}{11}\)

C.

\(\frac{19 + 2\sqrt{15}}{11}\)

D.

\(\frac{19 + 2\sqrt{15}}{19}\)

Correct answer is B

\(\frac{(2\sqrt{3} + 3\sqrt{5})(3\sqrt{5} + 2\sqrt{3})}{(3\sqrt{5} - 2\sqrt{3})(3\sqrt{5} - 2\sqrt{3})}\)

= \(\frac{5 + 12\sqrt{15}}{33}\)

=\(\frac{19 + 4\sqrt{15}}{11}\)

2,515.

If 8\(\frac{x}{2}\) = (2\(\frac{3}{8}\))(4\(\frac{3}{4}\)), find x

A.

\(\frac{3}{8}\)

B.

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

C.

\(\frac{4}{5}\)

D.

\(\frac{5}{4}\)

Correct answer is D

8\(\frac{x}{2}\) = 2\(\frac{3}{8}\)22 x \(\frac{3}{4}\) 2\(\frac{3x}{2}\)

= 2\(\frac{3}{4}\) \(\frac{3x}{2}\)

= \(\frac{15}{8}\)

\(\frac{2 \times 15}{3 \times 8}\) = \(\frac{5}{4}\)