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.
If \((\frac{2}{3})^{m} (\frac{3}{4})^{n} = \frac{256}{729}\), find the values of m and n.
m = 4, n = 2
m = -4, n = -2
m = -4, n =2
m = 4, n = -2
m = -2, n = 4
Correct answer is D
(\(\frac{2}{3}\))m (\(\frac{3}{4}\))n = \(\frac{256}{729}\)
\(\frac{2^m}{4^n}\) x \(\frac{3^n}{3^m}\) = \(\frac{2^{8}}{3^{6}}\)
\(2^{m} \div 2^{2n} = 2^{8}; 3^{n} \div 3^{m} = 3^{-6}\)
m - 2n = 8........(i)
-m + n = -6........(ii)
Solving the equations simultaneously
m = 4, n = -2
55
10
5
4
2
Correct answer is E
% error = \(\frac{\text{Actual error}}{\text{real value}}\) x 100
= \(\frac{5}{250}\) x 100
= 2%
4.46
4.48
4.47
4.49
4.50
Correct answer is C
59.81798 = 59.8(3 s.f)
0.0746829 = 0.0747
59.8 x 0.0747 = 4.46706
= 4.47(3s.f)
\(\frac{7}{13}\)
\(\frac{5}{13}\)
\(\frac{6}{13}\)
\(\frac{8}{13}\)
\(\frac{4}{13}\)
Correct answer is C
Vowels of letters are 6 in numbers
prob. of vowel = \(\frac{6}{13}\)
125
130
140
150
137.5
Correct answer is B
\(\begin{array}{c|c} Scores & Frequency \\\hline 55 & 1\\ 60 & 4\\ 65 & 6\\ 70 & 4\\ 75 & 1 \end{array}\)
Median = 65(middle number)
Mode = 65(most common)
Median + Mode = 65 + 65 = 130