{3}
{2,3}
{2,3,5}
{1,2}
Correct answer is B
P = {2,3,5}
Q = {2,3,6,9}
P \(\cap\) Q = {2,3}
Simplify \((\sqrt{6} + 2)^2 - (\sqrt{6} - 2)^2\)
\(2\sqrt{6}\)
\(4\sqrt{6}\)
\(8\sqrt{6}\)
\(16\sqrt{6}\)
Correct answer is C
\((\sqrt{6} + 2)^2 - (\sqrt{6} - 2)^2\)
= \([(\sqrt{6} + 2) + (\sqrt{6} - 2)][(\sqrt{6} + 2) - (\sqrt{6} - 2)]\)
= \((\sqrt{6} + 2 + \sqrt{6} - 2)(\sqrt{6} + 2 - \sqrt{6} + 2)]\)
= \((2\sqrt{6})(4)\)
= \(8\sqrt{6}\)
\(\frac{1}{3}\)
\(\frac{1}{9}\)
\(\frac{1}{27}\)
\(\frac{1}{81}\)
Correct answer is D
log3x2 = -8
x2 = 3-8
x = \(3^{-8 \times \frac{1}{2}}\)
x = 3-4
x = \(\frac{1}{3^4}\)
x = \(\frac{1}{81}\)
If 27\(^{x + 2}\) \(\div\) 9\(^{x + 1}\) = 3\(^{2x}\), find x.
3
4
5
6
Correct answer is B
\(27^{x + 2} \div 9^{x + 1} = 3^{2x}\)
\(3^{3(x + 2)} \div 3^{2(x + 1)} = 3^{2x}\)
\(3^{3x + 6} \div 3^{2x + 2} = 3^{2x}\)
\(\therefore (3x + 6) - (2x + 2) = 2x\)
\(x + 4 = 2x \implies x = 4\)
N525
N1,025
N1,950
N2,975
Correct answer is B
Amount spent on children = \(\frac{15}{100} \times 3500 = N525\)
Amount spent = Amount on children + Additional amount on food
Amount Spent = N525 + N1950 = N2475
Therefore amount left = N3,500 - N2,475 = N1,025