NUMBER AND NUMERATION - Jamb Mathematics Past Questions and Answers

Question 196:

• JAMB 1981

Simplify \(\frac{\sqrt{2}}{\sqrt{3} - \sqrt{2}}\) - \(\frac{3 - 2}{\sqrt{3} + \sqrt{2}}\)

A. 2\(\sqrt{2} - \sqrt{3}\)
B. 3(\(\sqrt{6}\) - 1)
C. \(\sqrt{6}\) - 3
D. -\(\frac{1}{2}\)
E. \(\frac{-\sqrt{3}}{\sqrt{2} - \sqrt{2}}\)

Question 197:

• JAMB 1981

Solve \(\frac{1}{x + 1}\) - \(\frac{1}{x + 3}\) = \(\frac{1}{4}\)

A. X = -1 or 3
B. X = 1 or 3
C. X = 1 or -5
D. X = -1 or 5
E. X = -1 or -3

Question 198:

• JAMB 1981

If \(\log_{2} y = 3 - \log_{2} x^{\frac{3}{2}}\), find y when x = 4.

A. 8
B. \(\sqrt{65}\)
C. 4\(\sqrt{2}\)
D. 3
E. 1

Question 199:

• JAMB 1981

Given that 10x = 0.2 and log102 = 0.3010, find x

A. -1.3010
B. -0.6990
C. 0.6990
D. 1.3010
E. 0.02

Question 200:

• JAMB 1981

simplify \(\frac{6^{2n + 1} \times 9^n \times 4^{2n}}{18^n \times 2^n \times 12^{2n}}\)

A. 3²ⁿ
B. 3 x 2^{3n - 1}
C. 2ⁿ
D. 6
E. 1