Mathematics Past Questions And Answers
1221
How many different 8 letter words are possible using the letters of the word SYLLABUS?
- A. (8 - 1)!
- B. \(\frac{8!}{2!}\)
- C. \(\frac{8!}{2! 2!}\)
- D. 8!
1222
What is the value of p if the gradient of the line joining (-1,p) and (p, 4) is 2/3 ?
- A. -2
- B. -1
- C. 1
- D. 2
1223
If 5x + 3y=4 and 5x-3y= 2, what is the value of (25x\(^2\) -9y\(^2\))?
- A. 20
- B. 16
- C. 2
- D. 8
1224
A function f is defined on R, the set of real numbers, by: \(f : x \to \frac{x + 3}{x - 2}, x \neq 2\), find \(f^{-1}\).
- A. \(f^{-1} : x \to \frac{2x + 3}{x - 1}, x \neq 1\)
- B. \(f^{-1} : x \to \frac{x + 3}{x + 2}, x \neq -2\)
- C. \(f^{-1} : x \to \frac{x - 1}{2x + 3}, x \neq -\frac{3}{2}\)
- D. \(f^{-1}: x \to \frac{x - 2}{x + 3}, x \neq -3\)
1225
If y = 243(4x + 5)-2, find \(\frac{dy}{dx}\) when x = 1
- A. \(\frac{-8}{3}\)
- B. \(\frac{3}{8}\)
- C. \(\frac{9}{8}\)
- D. -\(\frac{8}{9}\)
1226
Solve the inequality \(x^{2} - 2x \geq 3\)
- A. \(-1 \leq x \leq 3\)
- B. \(x \geq 3\) and \(x \leq -1\)
- C. \(x \geq 3\) or \(x< -1\)
- D. \(-1 \leq x< 3\)
1227
Find the value of x for which \(\frac{x - 5}{x(x - 1)}\) is defined
- A. 0 or 5
- B. -5 or 5
- C. -11 or 5
- D. 0 or 1
1228
From the diagram below, Find the value of< ROP
- A. 110°
- B. 70°
- C. 95°
- D. 85°
1229
Rationalize \(\frac{2\sqrt{3} + 3 \sqrt{2}}{3\sqrt{2} - 2 \sqrt{3}}\)
- A. 5 - 2\(\sqrt{6}\)
- B. 5 + 2\(\sqrt{6}\)
- C. 5\(\sqrt{6}\)
- D. 5
1230
The common ratio of a G.P. is 2. If the 5th term is greater than the 1st term by 45, find the 5th term,
- A. 3
- B. 6
- C. 45
- D. 48