Mathematics 2009 | Study Mode

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Question 3
A
B
41/6 
C
45/6 
D
51/6 
Explanation.
Share Answer \(7\frac{1}{12}-4\frac{3}{4}+2\frac{1}{2}=5\left(\frac{1-9+6}{12}\right)\\
5\left(\frac{-2}{12}\right)\\
=4\left(\frac{12-2}{12}\right)\)
(carry one from 5 and call it 12)
\(4\frac{10}{12}\\
=4\frac{5}{6}\)

Correct Option:
C
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Question 4
A
6.24 
B
3.22 
C
2.78 
D
2.13 
Explanation.
Share Answer \(\frac{81.81 + 99.44}{20.09 + 36.16}\\
=\frac{181.25}{56.25}\\
=\frac{18125}{5625}\\
\frac{29}{9}\\
=3\frac{2}{9}\\
3.22\)

Correct Option:
B
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Question 5
A
N37,550 
B
N40,400 
C
N41,400 
D
N42,400 
Explanation.
Share Answer C.P = N34000 + N2000 = N36000
Gain = 100 + 15 = 115%
S.P = \(\frac{115}{100}\times \frac{N3600}{1}\)
= N41400

Correct Option:
C
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Question 8
A
3.4471 
B
2.4471 
C
1.4471 
D
1.4071 
Explanation.
Share Answer Log 2 = 0.3010, Log 7 = 0.8451
Log 280 = Log 28 x 10
= Log 7x4x10
=Log7 + Log4 + Log10
= Log7 + Log22 + Log10
= Log7 + 2Log2 + Log10
= 0.8451 + 2(0.3010) + 1
= 0.8451 + 0.6020 + 1
= 2.4471

Correct Option:
B
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Question 9
A
17-7 
B
4-7 
C
15+7 
D
7-7 
Explanation.
Share Answer \(\frac{5+\sqrt{7}}{3+\sqrt{7}}=\frac{5+\sqrt{7}}{3+\sqrt{7}}\times \frac{3-\sqrt{7}}{3-\sqrt{7}}\\
=\frac{(5+\sqrt{7})(3-\sqrt{7})}{3^2 - \sqrt{7}^2}\\
=\frac{15-5\sqrt{7}+3\sqrt{7}-7}{9-7}\\
=\frac{8-2\sqrt{7}}{2}\)
Factorize then divide by 2
\(=\frac{2(4-\sqrt{7}}{2}\\
=4-\sqrt{7}\)

Correct Option:
B
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Question 10
A
{5,10} 
B
{5, 10, 15} 
C
{2, 5, 10} 
D
{5, 10, 15, 20} 
Explanation.
Share Answer X = {n2+1:n is a positive integer and 1 \(\leq\) n \(\leq\) 5}
Implies X = {2, 5, 10, 17, 26} i.e. put n= 1, 2, 3, 4 and 5
Y = {5n:n is a positive integer and 1 \(\leq\) n \(\leq\) 5}
Put X = 1, 2, 3, 4, and 5
Y = {5, 10, 15, 20, 25}
X \(\cap\) Y = {2, 5, 10, 17, 26} \(\cap\) {5, 10, 15, 20, 25}
= {5, 10}

Correct Option:
A
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