Simplify: \(\frac{2}{3xy} - \frac{3}{4yz}\)
\(\frac{2-x}{12xyz}\)
\(\frac{2z-3x}{12xyz}\)
\(\frac{4z-3x}{12xyz}\)
\(\frac{8z-9x}{12xyz}\)
Correct answer is D
\(\frac{2}{3xy} - \frac{3}{4yz} = \frac{2(4)-3(3x)}{12xyz} = \frac{8z-9x}{12xyz}\)
A regular polygon has 9 sides. What is the size of one of its exterior angles?
20o
40o
90o
140o
Correct answer is B
Exterior angle \(=\frac{360}{n}\) where n = no of sides
\(=\frac{360}{9}=40^{\circ}\)
85.1%
58.5%
17.5%
14.9%
Correct answer is C
\(\%Increase = \frac{Actual \hspace{1mm}increase}{initial \hspace{1mm}ratio}\times 100\%\)
Actual increase = 7; Initial ratio = 40
\(=\left(\frac{7}{40} \times 100\%\right)=\frac{35}{2}=17.5\%\)
A train moving at a uniform speed covers 36km in 21 minutes. How long does it take to cover 60km?
35 mins
40 mins
45 mins
90 mins
Correct answer is A
Since 36km in 21 minutes
1km in \(\frac{21}{36}\)minutes
60km in \(\left(\frac{21}{36}\times 60\right)\)minutes = \(\frac{70}{2}\)min
= 35 mins
{3, 9}
{5, 7, 9}
{1}
{1, 11}
Correct answer is C
PI = {1, 7, 15} ; QI = {1, 13, 11}
PI ∩ QI = {1}