8
24
62
86
Correct answer is C
x = no. of ppl that like none.
no. of ppl that like both Traditional and Modern music, which is equal to 3x
Modern Music = 60 - 3x
Traditional Music = 50 - 3x
60-3x + 50 - 3x + 3x + x = 94
110 - 3x + x = 94
-2x = 94 - 110
=>-2x = -16,
this x = 8.
Members that like only one game:
= 60 - 3x + 50 - 3x
= 60 - 3[8] + 50 - 3[8]
= 60 - 24 + 50 - 24
= 36 + 26 = 62
Members that like only one type of music = 62
1, -2
-2, 1
\(\frac{-2}{5}\), 1
2, 3/5
Correct answer is B
Rationalize \(\frac{(2\sqrt{3}-\sqrt{2})}{(\sqrt{3}+2\sqrt{2})}\) and equate to \(m +n\sqrt{6}\). Such that m = -2, and n = 1.
Use \(\sqrt{3}-2\sqrt{2}\) as the conjugate for Rationalization
\(\frac{(2\sqrt{3}-\sqrt{2})}{(\sqrt{3}+2\sqrt{2})}\) X \(\frac{(\sqrt{3}-2\sqrt{2})}{(\sqrt{3}-2\sqrt{2})}\)
\(\frac{6 - 4\sqrt{6} - \sqrt{6} + 4}{3 - 2\sqrt{6} + 2\sqrt{6} - 8}\)
=\(\frac{10 - 5\sqrt{6}}{-5}\)
= -2 + \(\sqrt{6}\)
480,000
249,696
249,600
244,800
Correct answer is B
1st year, Population = 240,000 x (2/100) = 4800.
Being the 2nd year population = 240,000 + 4800 = 244800.
Increase in Pop. in 2nd year = 244800 x (2/100) = 4896
Jan 2000, Pop. = 244800 + 4896 = 249,696
Let P = {1, 2, u, v, w, x}; Q = {2, 3, u, v, w, 5, 6, y} and R = {2, 3, 4, v, x, y}.
{1, x}
{x y}
{x}
ΙΈ
Correct answer is C
P = {1,2,u,v,w,x}
Q = {2,3,u,v,w,5,6,y}
R = {2,3,4,v,x,y}
P - Q = {1,x}
(P - Q) ∩ R = {1,x} ∩ {2,3,4,v,x,y} = {x}
NB: The set P−Q consists of elements that are in P but not in Q.
If the minimum value of y = 1 + hx - 3x2 is 13, find h.
13
12
11
10
Correct answer is B
No explanation has been provided for this answer.