Jamb Mathematics Past Questions For Year 1997
Question 16
Find the range of values of x which satisfies the inequality 12\(x^2\)< 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 17
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 18
The nth term of a sequence is given 3\(^{1 - n}\), and 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 19
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
Question 20
If X \(\ast\) Y = X + Y - XY, find x when (x \(\ast\) 2) + (x \(\ast\) 3) = 68
- A. 24
- B. 22
- C. -12
- D. -21
