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.

396.

If T = {prime numbers} and M = {odd numbers} are subsets of \(\mu\)  = {x : 0 < x ≤ 10} and x is an integer, find (T\(^{\prime}\) n M\(^{\prime}\)). 

A.

{4, 6, 8, 10}

B.

{1. 4, 6, 8, 10}

C.

{1, 2, 4, 6, 8, 10}

D.

{1, 2, 3, 5, 7, 8, 9}

Correct answer is A

T = {2, 3, 5, 7}

M = {1, 3, 5, 7, 9}

\(\mu\) = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} 

T\(^{\prime}\) = = {1, 4, 6, 8, 9, 10} 

M\(^{\prime}\) = {2, 4, 6, 8, 10} 

(T\(^{\prime}\) \(\cap\) M\(^{\prime}\)) = {4, 6, 8, 10}

397.

If 7 + y = 4 (mod 8), find the least value of y, 10 \(\leq y \leq 30\) 

A.

11

B.

13

C.

19

D.

21

Correct answer is B

7 + y = 4 (mod 8)

y = 4 - 7 (mod 8)

y = -3 + 8 (mod 8) 

y = 5 + 8 (mod 8)

y = 13

398.

Simplify, correct to three significant figures, (27.63)\(^2\) - (12.37)\(^2\) 

A.

614

B.

612

C.

611

D.

610

Correct answer is D

(27.63)\(^2\) - (12.37)\(^2\) 

= (27.63 + 12.37)(27.63 - 12.37)

= 40 x 15.26

= 610

399.

Solve: \(\frac{y + 1}{2} - \frac{2y - 1}{3}\) = 4

A.

y = 19

B.

y = -19

C.

y = -29

D.

y = 29

Correct answer is B

\(\frac{y + 1}{2} - \frac{2y - 1}{3}\) = \(\frac{4}{1}\) 

- \(\frac{3(y + 1) - 2(2y - 1)}{6} = \frac{4}{1}\)

3y + 3 - 4y + 2 = 24

- y + 5 = 24

- y = 24 - 5 = 19

y = - 19

400.

Evaluate: (0.064) - \(\frac{1}{3}\) 

A.

\(\frac{5}{2}\)

B.

\(\frac{2}{5}\)

C.

-\(\frac{2}{5}\)

D.

-\(\frac{5}{2}\)

Correct answer is A

(0.064)\(^{- \frac{1}{3}}\)

= (\(\frac{64}{1000}\))\(^{-\frac{1}{3}}\)

= 3\(\sqrt{\frac{1000}{64}}\) 

= \(\frac{10}{4}\)

= \(\frac{5}{2}\)