\(\frac{5}{6}\)
11
3\(\frac{3}{5}\)
2\(\frac{1}{2}\)
1\(\frac{1}{5}\)
Correct answer is D
x \(\alpha\) y = x \(\alpha\) \(\frac{1}{z}\)
x \(\alpha\) \(\frac{1}{z}\)
x = k \(\frac{y}{z}\)
k = \(\frac{xz}{y}\) = \(\frac{9 \times 8}{24}\)
= 3
x = \(\frac{xz}{y}\)
= \(\frac{3 \times 5}{6}\)
= \(\frac{15}{6}\)
= \(\frac{5}{2}\)
= 2\(\frac{1}{2}\)
N5000
N1800
N12000
N24000
N8000
Correct answer is C
A : B = 3 : 5
Total ratio = 3 + 5 = 8
Let rept, the total profit, A receives \(\frac{3x}{8}\)
\(\frac{5x}{8}\) - \(\frac{3}{x}\) = 3000
\(\frac{5x}{8}\) - \(\frac{3x}{8}\) = 3000
= \(\frac{2x}{8}\)
= 3000
2x = 2400
x = 1200
N12,000
In base ten, the number 101101 (base 2) equals
15
4
45
32
90
Correct answer is C
(101101)2 \(\begin{array}{c|c} 2^5 & 2^4 & 2^3 & 2^2 & 2^1 & 2^o\\ \hline 1 & 0 & 1 & 1 & 0 & 1\end{array}\)
= 1 x 25 + 0 x 24 + 1 x 23 + 1 x 22 + 0 x 21 + 1 x 2o
= 32 + 0 + 8 + 4 + 0 + 1
= (45)10
N330
N396.75
N300
N293.25
N360
Correct answer is C
Let x represent his monthly salary before increase 15% of
x = 345
% profit = (100 + 15)%
= 115%
\(\frac{115}{100}\)x = 345
115x = 34500
x = N300.00
4cm
32cm
\(\frac{30}{7}\)
\(\frac{40}{7}\)
4.8cm
Correct answer is E
Cos Q = \(\frac{r^2 + p^2 - q^2}{2rp}\)
= \(\frac{10^2 + 8^2 - 6^2}{2(10)(8)}\)
= \(\frac{164 - 36}{160}\)
= \(\frac{128}{160}\)
= 0.8
Q = Cos-1 o.8
= 37o x rep. from rt< RSQ, Let RS = x
\(\frac{x}{sin 37^o}\) = \(\frac{8}{sin 90^o}\)
but sin 90o = 1
x = 8 sin 37o
x = 4.8cm