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.

166.

Three boys shared D 10,500.00 in the ratio 6:7:8. Find the largest share.

A.

4000

B.

5000

C.

4500

D.

3500

Correct answer is A

Total proportion is 6+7+8 = 21

\(\frac{6 * 10500}{21}\) = 3000

\(\frac{7 * 10500}{21}\) = 3500

\(\frac{8 * 10500}{21}\) = 4000

The largest share is 4000

167.

If a = 3 and b = -7, find the value of \(\frac{5b+(a+b)^2}{(a-b)^2}\)

A.

0.51

B.

0.91

C.

-0.19

D.

-0.51

Correct answer is C

 \(\frac{5b+(a+b)^2}{(a-b)^2}\)

= \(\frac{5 * -7 +(3+ -7)^2}{(3- -7)^2}\)

=  \(\frac{-35 + 16}{10^2}\)

=  \(\frac{-19}{100}\) or -0.19

168.

M varies directly as n and inversely as the square of p. If M= 3 when n = 2 and p = 1, find M in terms of n and p.

A.

\(\frac{3n}{2p^2}\)

B.

\(\frac{2n}{3p^2}\)

C.

\(\frac{2n}{3p}\)

D.

\(\frac{3n^2}{2p^2}\)

Correct answer is A

M = \(\frac{nk}{p^2}\) 

k →  \(\frac{mp^2}{n}\) =  \(\frac{3x1^2}{2}\)

k =  \(\frac{3}{2}\)

:  m = \(\frac{3xn}{2p^2}\)

169.

Find the 17term of the Arithmetic Progression (A.P):-6,-1,4

A.

-91

B.

-86

C.

74

D.

79

Correct answer is C

common difference d =  -1 - [-6] → -1 + 6

d = 5; a = -6

T\(_n\) = a + (n-1)d

: T\(_{17}\) = -6 + (17 - 1) 5 

→ -6 + (16)5

→ -6 + 80 = 74

170.

A weaver bought a bundle of grass for $ 50.00 from which he made 8 mats. If each mat was sold for $ 15.00, find the percentage profit.

A.

240%

B.

140%

C.

120%

D.

40%

Correct answer is B

cost price = $50

Selling price = 15 * 8 = $120

percentage profit = \(\frac{sp-cp}{cp}\) * 100 →  \(\frac{120-50}{50}\) * 100

percentage profit = 70 * 2 → 140%