Jamb Mathematics Past Questions For Year 1994
Question 16
Find the range of values of x for which \(\frac{1}{x}\) > 2 is true
- A. x < 1/2
- B. 0 < x < 1/2
- C. 1 < x < 2
- D. x < 0 or x < 1/2
Question 17
If the 6th term of an arithmetic progression is 11 and the first term is 1, find the common difference.
- A. \(\frac{12}{5}\)
- B. \(\frac{5}{3}\)
- C. -2
- D. 2
Question 18
Find the value of r in \( \log_{10} r + \log_{10} r^2 + \log_{10} r^4 + \log_{10} r^8 + \log_{10} r^{16} + \log_{10} r^{32} = 63 \)
- A. \(10^{-1}\)
- B. \(10^0\)
- C. 10
- D. \(10^{2}\)
Question 19
Find the nth term of the sequence 3, 6, 10, 15, 21.....
- A. \(\frac{n(n - 1)}{2}\)
- B. \(\frac{n(n + 1)}{2}\)
- C. \(\frac{(n + 1)(n + 2)}{2}\)
- D. n(2n + 1)
Question 20
A binary operation \(\oplus\) is defines on the set of all positive integers by a \(\oplus\) b = ab for all positive integers a, b. Which of the following properties does NOT hold?
- A. closure
- B. identity
- C. positive
- D. inverse
