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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.

2,321.

If x = 3 - 3, find x2 + 36x2

A.

9

B.

18

C.

24

D.

27

Correct answer is C

x = 3 - 3

x2 = (3 - 3)2

= 9 + 3 - 634

= 12 - 63

= 6(2 - 3)

∴ x2 + 36x2 = 6(2 - 3) + 366(23)

6(2 - 3) + 623 = 6(- 3) + 6(2+3)(23)(2+3)

= 6(2 - 3) + 6(2+3)43

6(2 - 3) + 6(2 + 3) = 12 + 12

= 24

2,322.

Simplify 518 - 372 + 450

A.

174

B.

417

C.

172

D.

124

Correct answer is C

518 - 372 + 450 = 5(32) - 3(62) + 4(52)

152 - 182 + 202 = 352 - 182

= 172

2,323.

Simplify (1.25×104)×(2.0×101)(6.25×105)

A.

4.0 x 10-3

B.

5.0 x 10-2

C.

2.0 x 10-1

D.

5.0 x 10-3

Correct answer is A

(1.25×104)×(2.0×101)(6.25×105) = 1.25×26.25 x 104 - 1 - 5

2.506.25 x 10-2 = 250625 x 10-2

0.4 x 10-2 = 4.0 x 10-3

2,324.

What is the value of x satisfying the equation 42x43x = 2?

A.

-2

B.

-12

C.

12

D.

2

Correct answer is B

42x43x = 2

42x - 3x = 2

4-x = 2

(22)-x

= 21

Equating coefficients: -2x = 1

x = -12

2,325.

Evaluate logban if b=a1n.

A.

n2

B.

n

C.

1n

D.

1n2

Correct answer is A

Let logban=x

a^{n} = (a^{\frac{1}{n}})^{x}

a^{n} = a^{\frac{x}{n}} \implies n = \frac{x}{n}

x = n^{2}