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.

996.

Solve the equation: \(\frac{3}{[2(x - 2)]} - \frac{2}{[3(2 - x)]} = 0\)

A.

3

B.

2

C.

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

D.

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

E.

-3

Correct answer is B

No explanation has been provided for this answer.

997.

The first term of an A.P is equal to thrice the common difference, what is the sixth term of the A.P, if the common difference is 8?

A.

64

B.

48

C.

43

D.

24

E.

11

Correct answer is A

first term[a] = 3 * d → 3 * 8 = 24

sixth term of the A.P = a + 5d → 24 + [5 * 8]

⇒  24 + 40 = 64

998.

Divide the LCM of 15abc and 20a\(^2\)bc by their HCF

A.

10a

B.

12a

C.

5abc

D.

12a2bc

E.

60a2bc

Correct answer is B

LCM of 15abc and 20a\(^2\)bc = 60a\(^2\)bc

Factors of 15abc = 1, 3, 5,15, a, b, c     

and of  20a\(^2\)bc = 1, 2, 4, 5, 10, 20, a, b, c

HCF of 15abc and 20a\(^2\)bc = 5abc

→ LCM ÷ HCF = 60a\(^2\)bc ÷ 5abc

= 12a

999.

Simplify \((216{\frac{1}{3}})^{-2}\)

A.

\(\frac{1}{36}\)

B.

\(\frac{1}{18}\)

C.

\(\frac{1}{13}\)

D.

\(\frac{1}{6}\)

E.

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

Correct answer is A

\((216^{\frac{1}{3}})^{-2}\)

= \(216^{\frac{-2}{3}}\)

= (3√216)\(^{-2}\)

= (6)\(^{-2}\)

= \(\frac{1}{6^2}\) 

=\(\frac{1}{36}\)

1000.

The expression 4x2 - 4 has the following as its factors EXCEPT

A.

x - 1

B.

x + 1

C.

x2 -1

D.

4x + 1

E.

4x - 4

Correct answer is D

No explanation has been provided for this answer.