1997 - JAMB Mathematics Past Questions and Answers - page 1
1
Evaluate 64.7642 - 35.2362 correct to 3 significant figures
A
2960
B
2950
C
2860
D
2850
correct option: b
(64.764 - 35.236)(64.764 + 35.236)
= 29.528 x 100
= 2950 to 3 sig. fig.
Users' Answers & Comments= 29.528 x 100
= 2950 to 3 sig. fig.
2
Find the value of (0.006)3 + (0.004)3 in standard form
A
2.8 x 10-9
B
2.8 x 10-7
C
2.8 x 10-8
D
2.8 x 10-6
correct option: b
(0.006)3 + (0.004)3 = 2.16 x 10-7
(2.16 + 0.64) x 10-7
= 2.8 x 10-7
Users' Answers & Comments(2.16 + 0.64) x 10-7
= 2.8 x 10-7
3
Given that loga2 = 0.693 and loga3 = 1.097, find loga 13.5
A
1.404
B
1.790
C
2.598
D
2.790
correct option: c
loga 13.5 = loga \(\frac{27}{2}\)
= 3loga 3 - log2a
= 3 x 1.097 - 0.693
= 2.598
Users' Answers & Comments= 3loga 3 - log2a
= 3 x 1.097 - 0.693
= 2.598
4
If 8\(\frac{x}{2}\) = (2\(\frac{3}{8}\))(4\(\frac{3}{4}\)
A
\(\frac{3}{8}\)
B
\(\frac{3}{4}\)
C
\(\frac{4}{5}\)
D
\(\frac{5}{4}\)
correct option: d
Users' Answers & Comments5
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 option: b
\(\frac{(2\sqrt{3} + 3\sqrt{5})(3\sqrt{5} + 2\sqrt{3})}{(3\sqrt{5} - 2\sqrt{3})(3\sqrt{5} - 2\sqrt{3})}\)
= \(\frac{5 + 12\sqrt{15}}{33}\)
=\(\frac{19 + 4\sqrt{15}}{11}\)
Users' Answers & Comments= \(\frac{5 + 12\sqrt{15}}{33}\)
=\(\frac{19 + 4\sqrt{15}}{11}\)
6
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 option: b
1 = \(\frac{PRT}{100}\)
1 = 1240 - 1000
= 240
R = \(\frac{240 \times 100}{100 \times 3}\)%
= 8%
Users' Answers & Comments1 = 1240 - 1000
= 240
R = \(\frac{240 \times 100}{100 \times 3}\)%
= 8%
7
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
(p, n, d)
D
(n, d, u)
correct option: c
Users' Answers & Comments8
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
orange
B
9
C
11
D
20
correct option: b
Users' Answers & Comments9
If the function f(fx) = x3 + 2x2 + qx - 6 is divisible by x + 1, find q
A
-5
B
-2
C
2
D
5
correct option: a
x + 1 = 0, x = -1; f(x) = x3 + 2x2 + qx - 6
0 = -1 + 2 - q - 6
q = -5
Users' Answers & Comments0 = -1 + 2 - q - 6
q = -5
10
Solve the simultaneous equations \(\frac{2}{x} - {\frac{2}{x}}\) = 2, \(\frac{4}{x} + {\frac{3}{y}}\) = 10
A
x = \(\frac{3}{2}\), y = \(\frac{3}{2}\)
B
x = \(\frac{1}{2}\), y = \(\frac{3}{2}\)
C
x = \(\frac{-1}{2}\), y = \(\frac{-3}{2}\)
D
x = \(\frac{1}{2}\), y = \(\frac{3}{2}\)
correct option: b
\(\frac{2}{x} - {\frac{2}{x}}\) = 2.....(1)
\(\frac{4}{x} + {\frac{3}{y}}\) = 10
\(\frac{6}{x}\) = 12 \(\to\) x = \(\frac{6}{12}\)
x = \(\frac{1}{2}\)
put x = \(\frac{1}{2}\) in equation (i)
= 4 - \(\frac{3}{y}\) = 2
= 4 - 2
= \(\frac{3}{y}\)
therefore y = \(\frac{3}{2}\)
Users' Answers & Comments\(\frac{4}{x} + {\frac{3}{y}}\) = 10
\(\frac{6}{x}\) = 12 \(\to\) x = \(\frac{6}{12}\)
x = \(\frac{1}{2}\)
put x = \(\frac{1}{2}\) in equation (i)
= 4 - \(\frac{3}{y}\) = 2
= 4 - 2
= \(\frac{3}{y}\)
therefore y = \(\frac{3}{2}\)