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.

1,151.

The radii of the base of two cylindrical tins, P and Q are r and 2r respectively. If the water level in p is 10cm high, would be the height of the same quantity of water in Q?

A.

4.5cm

B.

5.0cm

C.

7.5cm

D.

20.0cm

Correct answer is A

volume of cylinder = \(\pi r^2h\)

volume of cylinder p = \(\pi r^2 \times 10\)

= 10\(\pi r^2\)

volume of cylinder Q = \(\pi (2r)^2 h\)

= 4\(\pi r^2\)h

4\(\pi r^2 = 10 \pi r^2 h\)

h = \(\frac{10}{4} = 4.5cm\)

1,152.

In what modulus is it true that 9 + 8 = 5?

A.

mod 10

B.

mod 11

C.

mod 12

D.

mod 13

Correct answer is C

9 + 8 = 17

17 + mod 12 = 1 rem 5

it is mod 12

1,153.

Find the number of term in the Arithmetic Progression(A.P) 2, -9, -20,...-141.

A.

11

B.

12

C.

13

D.

14

Correct answer is D

T1, T2, T3

2, -9, -20 .... -141

l = a + (n - 1)d

first term, a = 2

common difference d = T3 - T2

= T2 - T1

= -20 - (-9) = -9 -2

= -20 + 9

= -9 -2

= -20 + 9

= -11

-11 = -11

d = -1

last term l = -141

-141 = 2 + (\(\cap\) - 1) (-11)

-141 = 2 + (-11 \(\cap\) + 11)

= 2 - 11\(\cap\) + 11

-141 = 13 - 11\(\cap\)

-141 - 13 = -11\(\cap\)

-154 = -11\(\cap\)

\(\cap\) = \(\frac{-154}{-11}\)

\(\cap\) = 14

1,154.

Each exterior angle of a polygon is 30o. Calculate the sum of the interior angles

A.

540o

B.

720o

C.

1080o

D.

1800o

Correct answer is D

number of sides = \(\frac{360^o}{\theta} = \frac{360^o}{306o}\)

n = 12o

Sum of interior angle = (n - 2) 180o

(12 - 2) 180v = 10 x 180o

= 1800o

1,155.

The probability of an event P happening is \(\frac{1}{5}\) and that of event Q is \(\frac{1}{4}\). If the events are independent, what is the probability that neither of them happens?

A.

\(\frac{4}{5}\)

B.

\(\frac{3}{4}\)

C.

\(\frac{3}{5}\)

D.

\(\frac{1}{20}\)

Correct answer is C

prob(p) = \(\frac{1}{5}\)

prob(Q) = \(\frac{1}{4}\)

Prob(neither p) = 1 - \(\frac{1}{5}\)

\(\frac{5 - 1}{5} = \frac{4}{5}\)

prob(neither Q) = 1 - \(\frac{1}{4}\)

\(\frac{4 - 1}{4} = \frac{3}{4}\)

prob(neither of them) = \(\frac{4}{5} \times \frac{3}{4} = \frac{12}{20}\)

= \(\frac{3}{5}\)