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?

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.

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)

A.

(p, o, u, r)

B.

(s, p, d, r)

C.

(s, p, n, e)

D.

(n, d, u)

Correct answer is C

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

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

1,463.

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%

1,464.

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

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

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

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

1,465.

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

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

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