Evaluate: 2\(\sqrt{28} - 3\sqrt{50} + \sqrt{72}\)
4\(\sqrt{7} - 21 \sqrt{2}\)
4\(\sqrt{7} - 11 \sqrt{2}\)
4\(\sqrt{7} - 9 \sqrt{2}\)
4\(\sqrt{7} + \sqrt{2}\)
Correct answer is C
2\(\sqrt{28} - 3\sqrt{50} + \sqrt{22}\)
4\(\sqrt{7} - 15\sqrt{2} + 6\sqrt{2}\)
6\(\sqrt{7} - 9\sqrt{2}\)
If 6, P, and 14 are consecutive terms in an Arithmetic Progression (AP), find the value of P.
9
10
6
8
Correct answer is B
6, p, 14
14 - p = p - 6
14 + 6 = p - 6
14 + 6 = p + p
\(\frac{2p}{2}\)
= \(\frac{20}{2}\)
p = 10
If 23\(_y\) = 1111\(_{\text{two}}\), find the value of y
4
5
6
7
Correct answer is C
23\(_y\) = 1111\(_{\text{two}}\),
2 x y\(^1\) + 3 x y\(^0\) = 1 x 2\(^3\) + 1 x 2\(^1\) + 1 x 2\(^o\)
2y + 3 = 8 + 4 + 2 + 1
2y + 3 = 15
\(\frac{2y}{2}\)
\(\frac{12}{2}\)
y = 6
Evaluate; \(\frac{\log_3 9 - \log_2 8}{\log_3 9}\)
-\(\frac{1}{3}\)
\(\frac{1}{2}\)
\(\frac{1}{3}\)
-\(\frac{1}{2}\)
Correct answer is D
\(\frac{\log_3 9 - \log_2 8}{\log_3 9}\)
= \(\frac{\log_3 3^2 - \log_2 2^3}{\log_3 3^2}\)
= \(\frac{2 -3}{2}\)
= \(\frac{-1}{2}\)
{4, 6, 8, 10}
{1. 4, 6, 8, 10}
{1, 2, 4, 6, 8, 10}
{1, 2, 3, 5, 7, 8, 9}
Correct answer is A
T = {2, 3, 5, 7}
M = {1, 3, 5, 7, 9}
\(\mu\) = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
T\(^{\prime}\) = = {1, 4, 6, 8, 9, 10}
M\(^{\prime}\) = {2, 4, 6, 8, 10}
(T\(^{\prime}\) \(\cap\) M\(^{\prime}\)) = {4, 6, 8, 10}