Further Mathematics Questions and Answers
Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.
Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.
Find the least value of n for which \(^{3n}C_{2} > 0, n \in R\)
\(\frac{1}{3}\)
\(\frac{1}{6}\)
\(\frac{2}{3}\)
1
Correct answer is C
\(^{3n}C_{2} > 0 \implies \frac{3n!}{(3n - 2)! 2!} > 0\)
\(\frac{3n(3n - 1)(3n - 2)!}{(3n - 2)! 2} > 0\)
\(\frac{3n(3n - 1)}{2} > 0\)
\(3n(3n - 1) > 0 \implies n > 0; n > \frac{1}{3}\)
The least number in the option that satisfies \(n > 0; n > \frac{1}{3} = \frac{2}{3}\)
(-6, -15)
(-6, 5)
(20, 5)
(20, 15)
Correct answer is C
No explanation has been provided for this answer.
0.10
0.30
0.60
0.70
Correct answer is B
Let the number of students that like both Science and History = x
Number of Science only = 35 - x
Number of History only = 30 - x
35 - x + 30 - x + x = 50
65 - x = 50
x = 15
P(Science and History) = \(\frac{15}{50} = 0.30\)
mn
m + n
m + n - 2mn
1 - mn
Correct answer is C
P(only one alive) = P(husband and not wife) + P(wife and not husband)
= m (1 - n) + n ( 1 - m)
= m - mn + n - mn
= m + n - 2mn
\(\frac{1}{3}\)
\(\frac{4}{9}\)
\(\frac{5}{9}\)
\(1\)
Correct answer is A
Differentiate distance twice to get the acceleration and then equate to get p.
\(s = 7 + pt^{3} + t^{2}\)
\(\frac{\mathrm d s}{\mathrm d t} = v(t) = 3pt^{2} + 2t\)
\(\frac{\mathrm d v}{\mathrm d t} = a(t) = 6pt + 2\)
\(a(3) = 6p(3) + 2 = 8 \implies 18p = 8 - 2 = 6\)
\(p = \frac{6}{18} = \frac{1}{3}\)