Jamb Mathematics 1997 Past Questions and Answers

Question 16:

• JAMB 1997

Let f(x) = 2x + 4 and g(x) = 6x + 7 here g(x) > 0. Solve the inequality \(\frac{f(x)}{g(x)}\) < 1

A. X < - \(\frac{3}{4}\)
B. X > - \(\frac{4}{3}\)
C. X > - \(\frac{3}{4}\)
D. X > - 12

Question 17:

• JAMB 1997

Find the range of values of x which satisfies the inequality 12x² < x + 1

A. -\(\frac{1}{4}\) < x < \(\frac{1}{3}\)
B. \(\frac{1}{4}\) < x < -\(\frac{1}{3}\)
C. -\(\frac{1}{3}\) < x < \(\frac{1}{4}\)
D. -\(\frac{1}{4}\) < x < - \(\frac{1}{3}\)

Question 18:

• JAMB 1997

Sn is the sum of the first n terms of a series given by Sn = n\(^2\) - 1. Find the nth term

A. 4n + 1
B. 4n - 1
C. 2n + 1
D. 2n - 1

Question 19:

• JAMB 1997

The nth term of a sequence is given 3^{1 - n} , find the sum of the first terms of the sequence.

A. \(\frac{13}{9}\)
B. 1
C. \(\frac{1}{3}\)
D. \(\frac{1}{9}\)

Question 20:

• JAMB 1997

Two binary operations \(\ast\) and \(\oplus\) are defines as m \(\ast\) n = mn - n - 1 and m \(\oplus\) n = mn + n - 2 for all real numbers m, n.
Find the value of 3 \(\oplus\) (4 \(\ast\) 50)

A. 60
B. 57
C. 54
D. 42