Mathematics 2008 | Study Mode

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Question 3
A
1/4 
B
1/3 
C
1/2 
D
Explanation.
Share Answer \(\frac{\left(\frac{3}{8}\div\frac{1}{2}+\frac{1}{2}\right)}{\left(\frac{1}{8}\times\frac{2}{3}+\frac{1}{3}\right)}\\
=\frac{\left(\frac{3}{8}\times\frac{2}{1}+\frac{1}{2}\right)}{\left(\frac{1}{8}\times\frac{2}{3}+\frac{1}{3}\right)}\\
=\frac{\left(\frac{3}{4}-\frac{1}{3}\right)}{\left(\frac{1}{12}+\frac{1}{3}\right)}\\
=\left(\frac{9-4}{12}\right)\div\left(\frac{1+4}{12}\right)\\
=\left(\frac{5}{12}\right)\div\left(\frac{5}{12}\right)\\
=\frac{5}{12}\times\frac{12}{5}\\
=1\)

Correct Option:
D
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Question 6
A
42% 
B
41% 
C
40% 
D
25% 
Explanation.
Share Answer N85 - N60 = N25 increase
percentage increase = \(\frac{25}{60}\times \frac{100}{1}\\=\frac{125}{3}\\=41.67%\\
=42%\)

Correct Option:
A
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Question 7
A
3/8 
B
2/3 
C
3/4 
D
3/2 
Explanation.
Share Answer \(16^{\frac{-1}{2}}\times 4^{\frac{-1}{2}} \times 27^{\frac{1}{3}}\\
=\frac{1}{16^{\frac{1}{2}}}\times \frac{1}{4^{\frac{1}{2}}}\times 27^{\frac{1}{3}}\\
=\frac{1}{\sqrt{16}} \times \frac{1}{\sqrt{4}} \times sqrt[3]{27}\\
=\frac{1}{4} \times \frac{1}{2} \times \frac{3}{1}\\
= \frac{3}{8}\)

Correct Option:
A
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Question 9
A
(-3, -2) 
B
(-2, 3) 
C
(3,2) 
D
(2,-3) 
Explanation.
Share Answer \(\frac{1+\sqrt{2}}{1-\sqrt{2}} \times \frac{1+\sqrt{2}}{1+\sqrt{2}}\\
=\frac{1+(1+\sqrt{2})+\sqrt{2}(1+\sqrt{2})}{1^2 - (\sqrt{2})^2}\\
=\frac{(1+\sqrt{2}+\sqrt{2}+2)}{1-2}\\
=\frac{3+2\sqrt{2}}{-1}\\
=-3-2\sqrt{2}\\
X and Y = -3 and -2\)

Correct Option:
A
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