4:1 increase
2:1 increase
1:1 no change
1:4 decrease
3:4 decrease
Correct answer is B
\(x \propto y^{3} z^{4}\)
\(x = ky^{3} z^{4}\)
If y is halved and z is doubled, we have
\(x = k (\frac{1}{2} y)^{3} (2z)^{4}\)
\(x = k (\frac{y^{3}}{8}) (16z^{4})\)\)
\(x = 2k y^{3} z^{4}\)
\(\therefore \text{x is increased in the ratio 2 : 1}\)
Given a regular hexagon, calculate each interior angle of the hexagon
60o
30o
120o
45o
135o
Correct answer is C
Sum of interior angles of polygon = (2n - 4)rt < s
sum of interior angles of an hexagon
(2 x 6 - 4) x 90o = (12 - 4) x 90o
= 8 x 90o
= 720o
each interior angle will have \(\frac{720^o}{6}\)
= 120o
N20, 000
N25,000
N30,000
N15,000
N45, 000
Correct answer is E
Total sharing ratio is 9 X has 4, Y has 4 + 1 If 1 is N5000 Total profit = 5000 x 9 = N45,000
If M represents the median and D the mode of the measurements 5, 9, 3, 5, 7, 5, 8 then (M, D) is
(6, 5)
(5, 8)
(5, 7)
(5, 5)
(7, 5)
Correct answer is D
first re-arrange the given data in the form 3, 5, 5, 7, 8, 9 Mean(x) = \(\frac{\sum x}{N}\)
= \(\frac{42}{7}\)
= 6, re-arrange thenumbers,
3, 5, 5| 7, 8, 9 median(D) = 5
(m, d) = (5, 5)
3.40cm
3.58cm
3.56cm
3.62cm
Correct answer is C
\(\begin{array}{c|c} \text{x(mid point)} & f & fx\\ \hline 3.4 & 3 & 10.2 \\ 3.5 & 6 & 21.0\\3.6 & 7 & 25.2\\3.7 & 4 & 14.8\end{array}\)
\(\sum f\) = 20
\(\sum fx\) = 71.2
mean = \(\frac{\sum fx}{\sum f}\)
= \(\frac{71.2}{20}\)
= 3.56