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.

3,286.

E = (integers \(\leq\) 20), P = (multiples of 3), Q = (multiples of 4), what are the elements of P'∩Q? 

A.

(12)

B.

(4, 8, 16, 20)

C.

(3, 6, 9, 15, 18)

D.

(1,2,5,7,10,11,13,17,19)

E.

(3, 4, 6, 8, 9, 12, 15, 16, 18, 20)

Correct answer is B

E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

P = {3, 6, 9, 12, 15, 18}

Q = {4, 8, 12, 16, 20}

P' = {1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20}

P' \(\cap\) Q = {4, 8, 16, 20}

3,287.

The sum of the 1st and 2nd terms of an A.P. is 4 and the 10th term is 19. Find the sum of the 5th and 6th terms.

A.

11

B.

20

C.

21

D.

22

E.

24

Correct answer is B

\(T_{n} = a + (n - 1) d\) (terms of an A.P)

\(T_{1} = a\)

\(T_{2} = a + d\)

\(T_{10} = a + 9d\)

\(a + a + d = 2a + d = 4 ... (i)\)

\(a + 9d = 19 ... (ii)\)

(ii) x 2: \(2a + 18d = 38 ... (iii)\)

(iii) - (i) : \(17d = 34 \implies d = 2\) 

\(2a + 2 = 4 \implies 2a = 2\)

\(a = 1\)

\(T_{5} + T_{6}\)

= \((a + 4d) + (a + 5d)\)

= \(2a + 9d\)

= \(2(1) + 9(2)\)

= 20

3,288.

A string is 4.8m. A boy measured it to be 4.95m. Find the percentage error.

A.

\( \frac{5}{16} \)%

B.

\(1\frac{5}{16} \)%

C.

\( 3\frac{1}{33} \)%

D.

\( 3\frac{1}{8} \)%

E.

25%

Correct answer is D

4.95m - 4.8m = 0.15m

\(\frac{0.15}{4.8} \times 100%\)

= \(\frac{25}{8}\)

= \(3\frac{1}{8}\)%

3,289.

A house bought for N100,000 was later auctioned for N80,000. Find the loss percent.

A.

20%

B.

30%

C.

40%

D.

50%

E.

60%

Correct answer is A

Explanation

Loss = N(100,000 - 80,000)

= N20,000.

Loss percentage = \(\frac{20,000}{100,000} \times 100%\)

= 20%

3,290.

What is the number whose logarithm to base 10 is \(\bar{3}.4771\)?

A.

3.0

B.

0.3

C.

0.03

D.

0.003

E.

0.0003

Correct answer is D

No explanation has been provided for this answer.