JAMB Mathematics Past Questions & Answers - Page 338

1,686.

Factorize 2y2 - 15xy + 18x2

A.

(2y - 3x) (y + 6x)

B.

(2y - 3x) (y - 6x)

C.

(2y + 3x) (y - 6x)

D.

(3y + 2x) (y - 6x)

Correct answer is B

2y2 - 15xy + 18x2

2y2 - 12xy - 3xy + 18x2

2y(y - 6x) - 3x(y - 6x)

(2y - 3x) (y - 6x)

1,687.

If gt2 - k - w = 0, make g the subject of the formula

A.

\(\frac{k + w}{t^2}\)

B.

\(\frac{k - w}{t^2}\)

C.

\(\frac{k + w}{t}\)

D.

\(\frac{k - w}{t}\)

Correct answer is A

gt2 - k - w = 0

gt2 = k + w

\(g = \frac{k + w}{t^2}\)

1,688.

If P = {1,2,3,4,5} and P \(\cup\) Q = {1,2,3,4,5,6,7}, list the elements in Q

A.

{6}

B.

{7}

C.

{6,7}

D.

{5,6}

Correct answer is C

Q = (P \(\cup\) Q) - P
{6,7}

1,689.

Evaluate Log28 + Log216 - Log24

A.

3

B.

4

C.

5

D.

6

Correct answer is C

\( = log_2 \frac{8 \times 16}{4}\)

\( = log_2 32\)

\( = log_2 2^5\)

\( = 5log_2 2\)

\( = 5 \times 1\)

\( = 5 \)

1,690.

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

A.

3\(\sqrt{6} - 7\)

B.

3\(\sqrt{6} + 7\)

C.

3\(\sqrt{6} - 1\)

D.

3\(\sqrt{6} + 1\)

Correct answer is A

\(= \frac{2\sqrt{2} - \sqrt{3}}{\sqrt{2} + \sqrt{3}} \times \frac{\sqrt{2} - \sqrt{3}}{\sqrt{2} - \sqrt{3}}\)

\(= \frac{2\sqrt{2}(\sqrt{2}) + (2\sqrt{2})(-\sqrt{3})-\sqrt{3}(\sqrt{2})-\sqrt{3}(-\sqrt{3})}{(\sqrt{2})^2-(\sqrt{3})^2}\)

\(= \frac{2 \times 2 - 2\sqrt{6} - \sqrt{6} + 3}{2 - 3}\)

\(= \frac{4 - 3\sqrt{6} + 3}{-1}\)

\(= \frac{7 - 3\sqrt{6}}{-1}\)

\(= \frac{7}{-1} - \frac{3\sqrt{6}}{-1}\)

\(= -7 + 3\sqrt{6}\)

\(= 3\sqrt{6}-7\)