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.
\(\frac{(p + q)}{pw + qu}\)
\(\frac{uw(p + q)}{pw + qu}\)
\(\frac{uw(p + q)}{pw}\)
\(\frac{uw}{pw + qu}\)
Correct answer is B
Average speed = \(\frac{total Distance}{Total Time}\)
from Calabar to Enugu in time t1, hence
t1 = \(\frac{P}{U}\)
Also from Enugu to Benin
t2 \(\frac{q}{w}\)
Av. speed = \(\frac{p + q}{t_1 + t_2}\)
= \(\frac{p + q}{p/u + q/w}\)
= p + q x \(\frac{uw}{pw + qu}\)
= \(\frac{uw(p + q)}{pw + qu}\)
Simplify 2log \(\frac{2}{5}\) - log\(\frac{72}{125}\) + log 9
1 - 4 log3
-1 + 2 log 3
-1 + 5 log2
1 - 2log 2
Correct answer is D
2log \(\frac{2}{5}\) - log\(\frac{72}{125}\) + log 9
[\(\frac{2}{5}\))2 x 9] = log \(\frac{4}{25}\) x \(\frac{9}{1}\) x \(\frac{125}{72}\)
= log \(\frac{72}{125}\)
= log \(\frac{5}{2}\)
= log \(\frac{10}{4}\)
= log 10 - log 4
= log10 - log2\(^2\)
= 1 - 2 log2
N10.80
N10.67
N2.80
N2.67
Correct answer is C
I = \(\frac{PRT}{100}\)
= \(\frac{10 \times 2 \times 4}{100}\)
= \(\frac{4}{5}\)
= 0.8
Total amount = N10.80
He pays N8.00
Remainder = 10.80 - 8.00
= N2.80
Find the probability that a number selected at random from 41 to 56 is a multiple of 9
\(\frac{1}{8}\)
\(\frac{2}{15}\)
\(\frac{3}{16}\)
\(\frac{7}{8}\)
Correct answer is A
Given from 41 to 56
41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56
The nos multiple of 9 are: 45, 54
P(multiple of 9) = \(\frac{2}{16}\)
= \(\frac{1}{8}\)
\(\frac{2}{3}\)
\(\frac{1}{2}\)
\(\frac{1}{3}\)
\(\frac{1}{4}\)
Correct answer is B
\(\begin{array}{c|c} 1 & 2 & 3 & 4\\\hline 1(1, 1) & (1, 2) & (1, 3) & (1, 4)\\ \hline 2(2, 1) & (2 , 2) & (2, 3) & (2, 4) \\ \hline 3(3, 1) & (3, 2) & (3, 3) & (3, 4)\\ \hline 4(4, 1) & (4, 2) & (4, 3) & (4, 4)\end{array}\)
sample space = 16
sum of nos. removed are (2), 3, (4), 5
3, (4), 5, (6)
(4), 5, (6), 7
(5), 6, 7, (8)
Even nos. = 8 of them
Pr(even sum) = \(\frac{8}{16}\)
= \(\frac{1}{2}\)