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.

1,081.

Solve x2 − 2x − 3 = 0

A.

x = 2 or 1

B.

x = 3 or -1

C.

x = 1 or 0

D.

x = 1 or 2

Correct answer is B

x2 − 2x − 3 = 0

−3x + x = − 2x

− 3x × x = − 3x2

(x2 − 3x)(x − 3) = 0

(x − 3)(x + 1) = 0

Either (x − 3) = 0 or (x + 1) = 0

x = 3 or − 1

1,082.

Find the value of x if \( [ 1 ÷ 64^{(x + 2)}]= [4^{(x − 3)} ÷ 16^x ] \)

A.

\( \frac{3}{2} \)

B.

\( \frac{2}{3} \)

C.

\( \frac{1}{3} \)

D.

\( -\frac{3}{2} \)

Correct answer is D

\( [ 1 ÷ 64^{(x + 2)}]= [4^{(x − 3)} ÷ 16^x ] \)

\( 64^{−(x + 2)} = [4^{(x − 3)}] ÷[16^x] \)

breakdown 4,16,64 into a small index no

\( 2^{−6(x + 2)} = 2^{2(x − 3)} ÷ 2^{4(x)} \)

\( 2^{−6x− 12} = 2^{2x − 4x − 6} \)

\( 2^{−6x −12} = 2^{−2x − 6} \)

− 6x − 12 = − 2x − 6

Collect the like term

−6x + 2x = −6 + 12

−4x =6

x = \( \frac{6}{4} \)

x = \( \frac{−3}{2} \)

1,083.

A man sells his new brand car for N420,000 at a gain of 15%. What did it cost him?

A.

N410,000

B.

N365, 217

C.

N157, 250

D.

N257,000

Correct answer is B

Cost Price:

Selling price = 100 : (100 + 15)

= 100 : 115

Cost Price

= 100 ÷ 115 of selling price (i.e N420,000)

= 100 ÷ 115 × N420,000

= N365,217.4

∴ Cost Price = N365, 217

1,084.

Find x if 132x = 70 eight.

A.

5

B.

3

C.

6

D.

1

Correct answer is C

132x = 708

\( 1 × x^2 + 3 × x^1 + 2 × x^0 \)

\( 7 × 8^1 + 0 × 8^0 \)

\( x^2 + 3x + 2 − 56 = 0 \)

\( x^2 + 3x − 54 = 0 \)

x(x + 9)−6(x + 9) = 0

(x + 9)(x − 6) = 0

Either (x + 9) = 0 or (x − 6) = 0

x = − 9 or +6

The positive values for x = 6

The base number for 132x = 1326

1,085.

Given that A = {3, 4, 1, 10, ⅓ }

B = {4, 3,⅓, ⅓, 7}.

Find A∩B

A.

{}

B.

{⅓, 1, 2}

C.

{3, 4, ⅓}

D.

{1, 3, ⅓}

Correct answer is C

A ∩ B = {3, 4, ⅓}