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.

546.

Calculate the variance of 2, 3, 3, 4, 5, 5, 5, 7, 7 and 9

A.

2.2

B.

3.4

C.

4.0

D.

4.2

Correct answer is D

x = \(\frac{2 + 3 + 3 + 4 + 5 + 5+ 5+ 7 + 7 + 9}{10}\)

=\(\frac{50}{10}\)

= 5

Variance = \(\frac{\sum{(x - x})^2}{N}\)

\(\frac{9 + 4+ 4+ 1 + 4 + 4 + 16}{10}\)

= \(\frac{42}{10}\)

= 4.2

547.

If the simple interest on a certain amount of money saved in a bank for 5 years at 2\(\frac{1}{2}\)% annum is N500.00, calculate the total amount due after 6 years at the same rate

A.

N2,500.00

B.

N2,600.00

C.

N4,500.00

D.

N4,600.00

Correct answer is D

P = \(\frac{100l}{RT} = \frac{100 \times 500}{5 \times 2.5} = \frac{50,000}{12.5}\)

= 4,000

Annual interest is \(\frac{500}{5}\) = 100

for 6 year = 4,000 + 100 + 100 + 100 + 100 + 100 + 100

= N 4,600

548.

Two bottles are drawn with replacement from a crate containing 8 Coke, 12 Fanta, and 4 Sprite bottles. What is the probability that the first is coke and the second is not coke?

A.

\(\frac{1}{12}\)

B.

\(\frac{1}{6}\)

C.

\(\frac{2}{9}\)

D.

\(\frac{3}{8}\)

Correct answer is C

Total = 8 + 12 + 4

= 24

\(\frac{8}{24} \times (\frac{12}{24} + \frac{4}{24}\))

= \(\frac{1}{3} \times (\frac{1}{2} + \frac{1}{6}\))

= \(\frac{1}{3} \times \frac{3 + 1}{6}\)

\(\frac{1}{3} \times \frac{4}{6} = \frac{2}{9}\)

549.

Given that t = \(2 ^{-x}\), find \(2 ^{x + 1}\) in terms of t. 

A.

\(\frac{2}{t}\)

B.

\(\frac{t}{2}\)

C.

\(\frac{1}{2t}\)

D.

t

Correct answer is A

t = \(2^{-x} = \frac{1}{2^{x}}\)

\(\implies 2^{x} =\frac{1}{t}\)

\(2^{x+1} = 2^{x} \times 2^{1}\)

= \(\frac{1}{t} \times 2 = \frac{2}{t}\)

550.

Consider the statements: p it is hot, q: it is raining

Which of the following symbols correctly represents the statement "It is raining if and only if it it is cold"?

A.

p \(\iff\) \(\sim\)q

B.

p \(\iff\) q

C.

\(\sim\)p \(\iff\) \(\sim\)q

D.

q \(\iff\) \(\sim\)p

Correct answer is D

No explanation has been provided for this answer.