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JAMB Mathematics Past Questions & Answers - Page 293

1,461.

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?

View answer & explanation

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.

1,462.

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)

(p, o, u, r)

(s, p, d, r)

(s, p, n, e)

(n, d, u)

View answer & explanation

Correct answer is C

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

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

1,463.

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

10%

12%

View answer & explanation

Correct answer is B

1 = $\frac{PRT}{100}$

1 = 1240 - 1000

= 240

R = $\frac{240 \times 100}{100 \times 3}$ %

= 8%

1,464.

Simplify $\frac{2\sqrt{3} + 3\sqrt{5}}{3\sqrt{5} - 2\sqrt{3}}$

$\frac{19 + 4\sqrt{25}}{11}$

$\frac{19 + 4\sqrt{15}}{11}$

$\frac{19 + 2\sqrt{15}}{11}$

$\frac{19 + 2\sqrt{15}}{19}$

View answer & explanation

Correct answer is B

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

= $\frac{5 + 12\sqrt{15}}{33}$

= $\frac{19 + 4\sqrt{15}}{11}$

1,465.

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

$\frac{3}{8}$

$\frac{3}{4}$

$\frac{4}{5}$

$\frac{5}{4}$

View answer & explanation

Correct answer is D

8^{$\frac{x}{2}$} = 2^{$\frac{3}{8}$}2^{2 x $\frac{3}{4}$} 2^{$\frac{3x}{2}$}

= 2^{$\frac{3}{4}$} ^{$\frac{3x}{2}$}

= $\frac{15}{8}$

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