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How many numbers greater than 150 can be formed from the digits 1, 2, 3,…

How many numbers greater than 150 can be formed from the digits 1, 2, 3, 4, 5 without…
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If (alpha) and (beta) are the roots of the equation (2x^{2} + 5x + n…

If (alpha) and (beta) are the roots of the equation (2x^{2} + 5x + n = 0), such…
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Solve (log_{2}(12x – 10) = 1 + log_{2}(4x + 3)).

Solve (log_{2}(12x – 10) = 1 + log_{2}(4x + 3)). A. 4.75 B. 4.00 C. 1.75 D. 1.00…
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Find the coefficient of (x^{3}) in the binomial expansion of ((x – frac{3}{x^{2}})^{9}).

Find the coefficient of (x^{3}) in the binomial expansion of ((x – frac{3}{x^{2}})^{9}). A. 324 B. 252 C.…
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If (alpha) and (beta) are the roots of (2x^{2} – 5x + 6 = 0),…

If (alpha) and (beta) are the roots of (2x^{2} – 5x + 6 = 0), find the equation…
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Resolve (frac{3x – 1}{(x – 2)^{2}}, x neq 2) into partial fractions.

Resolve (frac{3x – 1}{(x – 2)^{2}}, x neq 2) into partial fractions. A. (frac{x}{2(x – 2)} – frac{5}{(x…
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If the polynomial (f(x) = 3x^{3} – 2x^{2} + 7x + 5) is divided by…

If the polynomial (f(x) = 3x^{3} – 2x^{2} + 7x + 5) is divided by (x – 1),…
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(P = {1, 3, 5, 7, 9}, Q = {2, 4, 6, 8, 10, 12},…

(P = {1, 3, 5, 7, 9}, Q = {2, 4, 6, 8, 10, 12}, R = {2,…
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If (log_{3}a – 2 = 3log_{3}b), express a in terms of b.

If (log_{3}a – 2 = 3log_{3}b), express a in terms of b. A. (a = b^{3} – 3)…
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A binary operation * is defined on the set of real numbers, by (a *…

A binary operation * is defined on the set of real numbers, by (a * b = frac{a}{b}…
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