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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.

126.

Let '*' and '^' be two binary operations such that a * b = a2b and a ^ b = 2a + b. Find (-4 * 2) ^ (7 * -1).

A.

-49

B.

64

C.

113

D.

15

Correct answer is D

Given that, a * b = a2b and a ^ b = 2a + b

(-4 * 2) = (-4)2 x 2 = 16 x 2 = 32

(7 * -1) = 72 x (-1) = 49 x (-1) = -49

∴ (-4 * 2) ^ (7 * -1) = 2(32) + (-49) = 64 - 49 = 15

127.

Evaluate: 160.16 × 160.04 × 20.2

A.

2

B.

0

C.

20

D.

12

Correct answer is A

160.16 × 160.04 × 20.2
=24(0.16) × 24(0.04) × 20.2
=20.64 × 20.16 × 20.2
=20.64×0.16×0.2
=21
  2

128.

How many different 8 letter words are possible using the letters of the word SYLLABUS?

A.

(8 - 1)!

B.

8!2!

C.

8!2!2!

D.

8!

Correct answer is C

SYLLABUS has 8 letters, 2S's and 2L's

8!2!2!

 

129.

Solve 6x2 = 5x - 1

A.

x = 2,3

B.

x = 0,3

C.

x = 12, 13

D.

x = 12, 13

Correct answer is C

6x2 = 5x - 1

 → 6x2 - 5x + 1 = 0

Factorization:

factors are -3x and -2x

6x2 - 3x  -2x  + 1 = 0

(6x2 - 3x) (-2x  + 1) = 0

3x(2x-1) -1(2x-1) = 0

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

x = 12, 13

130.

Given that log3 27 = 2x + 1, find the value of x.

A.

0

B.

1

C.

2

D.

3

Correct answer is B

Recall that: log3 27 → log333

3log33 → 3 * 1

= 3

Then log3 27 = 2x + 1

→ 3 = 2x + 1 

3 - 1 = 2x

2 = 2x

1 = x