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.

681.

Divide the L.C.M of 48, 64 and 80 by their H.C.F

A.

20

B.

30

C.

48

D.

60

Correct answer is D

No explanation has been provided for this answer.

682.

A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room.

A.

\(\frac{15}{17}\)

B.

\(\frac{9}{17}\)

C.

\(\frac{8}{15}\)

D.

\(\frac{12}{17}\)

Correct answer is A

Given length of the room = 12m; breadth = 9m and height = 8m.

The room is a cuboid in shape, therefore the length of the diagonal = \(\sqrt{l^2 + b^2 + h^2}\)

= \(\sqrt{12^2 + 9^2 + 8^2}\)

=\(\sqrt{289}\)

= 17m.

The diagonal makes an angle with the diagonal of the floor: \(\sqrt{12^2 + 9^2}\)

= \(\sqrt{225}\)

= 15m

The cosine of the angle that the diagonal makes with the floor (\(\theta\)) = \(\frac{15}{17}\).

 

684.

\(\frac{0.00256 \times 0.0064}{0.025 \times 0.08}\)

A.

8.8 x 10\(^{-1}\)

B.

8.8 x 10\(^{-2}\)

C.

8.2 x 10\(^{-3}\)

D.

8.8 x 10\(^{3}\)

Correct answer is C

No explanation has been provided for this answer.

685.

How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a distance of 1000m?

A.

3

B.

4

C.

5

D.

6

Correct answer is A

In terms of distance, a circle has a total distance or perimeter of 2πr or πd

  Where r is radius and d is the diameter

  So perimeter = \(\frac{22}{7}\) x 100

  = 314.2857m

  To cover a distance of 1000m, he is going to round the circular track for \(\frac{1000}{314.2857}\) = 3.18

\(\approxeq\) 3 (to the nearest whole number)