Mathematics questions and answers

Mathematics Questions and Answers

How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.

2,466.

Factorize completely the expression \(abx^2 + 6y - 3ax - 2byx\)

A.

(ax - 2y)(bx - 3)

B.

(bx + 3)(2y - ax)

C.

(bx + 3)(ax - 2y)

D.

(ax - 2y)(ax - b)

Correct answer is A

\(abx^{2} + 6y - 3ax - 2byx\)

Collecting like terms, we have

\(abx^{2} - 3ax + 6y - 2byx\)

= \(ax(bx - 3) + 2y(3 - bx)\)

= \(ax(bx - 3) - 2y(bx - 3)\)

= \((ax - 2y)(bx - 3)\)

2,467.

The graph of f(x) = x2 - 5x + 6 crosses the x-axis at the points

A.

(-6, 0), (-1, 0)

B.

(-3, 0), (-2,0)

C.

(-6, 0),(1, 0)

D.

(2, 0), (3, 0)

Correct answer is D

When X = 3, Y = 0(3, 0),

When x = 2, y = 0(2, 0)

2,468.

Finds a positive value of p if the expression 2x2 - px + p leaves a remainder 6 when divided by x - p and q

A.

1

B.

2

C.

3

D.

4

Correct answer is B

x - p,x = p

2p2 - p2 + p = 6

= p2 + p - 6

= 0

p = 3, 2

2,469.

If x - 1 and x + 1 are both factors of the equation x\(^3\) + px\(^2\) + qx + 6 = 0, evaluate p and q

A.

-6, -1

B.

6, 1

C.

1, -1

D.

6, -6

Correct answer is A

\(x^{3} + px^{2} + qx + 6 = 0\)

f(x - 1) = 0; f(1) = 0.

\(1^{3} + p(1^{2}) + q(1) + 6 = 0 \implies p + q = -7 ... (1)\)

f(x + 1) = 0; f(-1) = 0.

\((-1)^{3} + p(-1^{2}) + q(-1) + 6 = 0 \implies p - q = -5 ... (2)\)

Subtract (2) from (1).

\(2q = -2 \implies q = -1\)

\(p - (-1) = -5 \implies p = -5 - 1 = -6\)

\((p, q) = (-6, -1)\)

2,470.

If S = (x : x\(^2\) = 9, x > 4), then S is equal to

A.

4

B.

{0}

C.

\(\emptyset\)

D.

{\(\emptyset\)}

Correct answer is C

No explanation has been provided for this answer.