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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.

36.

Solve 25x÷2x=5210

A.

32

B.

12

C.

13

D.

53

Correct answer is B

25x÷2x=5210

applying the laws of indices

25xx=210(1/5)

24x=210(1/5)

24x=22
Equating the powers
then 4x = 2

therefore, x = 24 = 12 

37.

The interior angle of a regular polygon is 6 times its exterior angle find the number of sides of the polygon.

A.

12

B.

15

C.

10

D.

14

Correct answer is D

each interior angle of a polygon = (n2)×180n where n = no of side of a polygon

each exterior angle of a polygon = 360n

then  (n2)×180n = 6× 360n

= (n - 2) 180 = 2160

= 180n - 360 = 2160

= 180n = 2160 + 360

= 180n = 2520

therefore, n = 2520180 = 14.

38.

Evaluate, correct to three decimal place 4.314×0.0000560.0067

A.

0.037

B.

0.004

C.

0.361

D.

0.036

Correct answer is D

4.314×0.0000560.0067

0.0002420.0067

= 0.036 ( to 3 decimal places)

39.

Express 4137 to base 5

A.

23115

B.

11315

C.

13115

D.

21325

Correct answer is C

4137 to base 5 

convert first to base 10

4177=4×72+1×71+3×70
= 4 × 49 + 1 × 7 + 3 × 1
= 196 + 7 + 3

= 20610

convert this result to base 5

5 206
5 41R1
5 8R1
5 1R3
  0R1

∴ 413_7 = 1311_5

40.

For what value of x is  \frac{ x^2 + 2 }{ 10x^2 - 13x - 3}  is undefined?

A.

\frac{1}{5}, \frac{3}{2}

B.

\frac{-1}{5}, \frac{3}{2}

C.

\frac{1}{5}, \frac{-3}{2}

D.

\frac{-1}{5}, \frac{-3}{2}

Correct answer is B

The fraction  \frac{ x^2 + 2 }{ 10x^2 - 13x - 3}  is undefined when the denominator is equal to zero

then  10x^2 - 13x - 3 = 0

by factorisation,  10x^2 - 13x - 3 = 0 becomes 10x^2 - 15x +2x -3 = 0

5x(2x - 3) + 1(2x - 3) = 0

(5x + 1)(2x - 3) = 0

then, x = \frac{-1}{5} or \frac{3}{2}