Answers

The 3rd and 6th terms of a geometric progression (G.P.) are (frac{8}{3}) and (frac{64}{81}) respectively, find the common…

Find the fourth term in the expansion of ((3x – y)^{6}). A. (-540x^{3}y^{3}) B. (-540x^{4}y^{2}) C. (-27x^{3}y^{3}) D.…

Given n = 3, evaluate (frac{1}{(n-1)!} – frac{1}{(n+1)!}) A. (12) B. (2frac{1}{2}) C. (2) D. (frac{11}{24}) Correct Answer:…

Find the coefficient of (x^{3}) in the expansion of ([frac{1}{3}(2 + x)]^{6}). A. (frac{135}{729}) B. (frac{149}{729}) C. (frac{152}{729})…

Simplify (frac{^{n}P_{5}}{^{n}C_{5}}). A. 80 B. 90 C. 110 D. 120 Correct Answer: Option D Explanation (frac{^{n}P_{5}}{^{n}C_{5}} = frac{n!}{(n-5)!} ÷…

Solve for x in the equation (5^{x} times 5^{x + 1} = 25). A. (-2) B. (frac{-1}{2}) C.…

If (log_{10}y + 3log_{10}x geq log_{10}x), express y in terms of x. A. (y geq frac{1}{x}) B. (y…

The remainder when (x^{3}  – 2x + m) is divided by (x – 1) is equal to the…

If (2t – 3s)(t – s) = 0, find (frac{t}{s}). A. (frac{3}{2}) or (1) B. (frac{3}{2}) or (-1)…

If the solution set of (x^{2} + kx – 5 = 0) is (-1, 5), find the value…