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.

3,856.

The sum of four numbers is 1214\(_5\). What is the average expressed in base five?

A.

114

B.

141

C.

401

D.

411

Correct answer is B

Convert to base 10, divide and then re-convert to base 5.

3,857.

If \(\frac{9^{2x-1}}{27^{x+1}} = 1\), find the value of x.

A.

8

B.

5

C.

3

D.

2

Correct answer is B

\(\frac{9^{2x - 1}}{27^{x + 1}} = 1\)

\(\implies 9^{2x - 1} = 27^{x + 1}\)

\((3^{2})^{2x - 1} = (3^{3})^{x + 1}\)

\(2(2x - 1) = 3(x + 1) \implies 4x - 2 = 3x + 3\)

\(4x - 3x = 3 + 2 \implies x = 5\)

3,858.

A cinema hall contains a certain number of people. If 22\(\frac{1}{2}\)% are children, 47\(\frac{1}{2}\)% are men and 84 are women, find the number of men in the hall.

A.

63

B.

84

C.

113

D.

133

Correct answer is D

45/2% + 95/2% = 70%
100% - 70% = 30% (i.e women)
=> 30% = 84
1% = 84/30
95/2% = (84/30 x 95/2) = 133.

3,859.

Simplify (√98 -√50)/√32

A.

3

B.

1

C.

1/2

D.

1/4

Correct answer is C

(√98 - √50)/√32 = √(49x2) - √(25x2) √(16x2)
=> (7√2 - 5√2)/4√2 = 1/2

3,860.

Simplify 1 - (7/3 x 5/4) + 3/5

A.

-16/15

B.

-79/60

C.

-37/15

D.

-151/60

Correct answer is B

\(1 - (\frac{7}{3} \times \frac{5}{4}) + \frac{3}{5}\)

= \(1 - \frac{35}{12} + \frac{3}{5}\)

= \(\frac{60 - 175 + 36}{60}\)

= \(\frac{-79}{60}\)