Mathematics 2008 | Study Mode

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Question 41
A
1
B
2
C
5
D
7
Explanation
X = 20/4
= 5
mean deviation = 8/4 = 2Maths-explained-image

Correct option: B
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Question 42
A
10! / (2!2!3!)
B
10! / ( 2!3!)
C
10! / (2!2!)
D
10!
Explanation
ACCEPTANCE = 10 Letters
A = 2 letters
C = 3 letters
E = 2 letters
Can be arranged in 10! / (2!3!2!) ways

Correct option: A
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Question 43
A
128
B
216
C
215
D
210
Explanation
\(^{10}C_6 = \frac{10!}{(10-6)!6!}\\
=\frac{10!}{4!6!}\\
=\frac{10\times 9\times 8 \times 7 \times 6!}{4\times 3\times 2\times 1 \times 6!}\\
=210\)

Correct option: D
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Question 44
A
1/11
B
2/11
C
3/11
D
4/11
Explanation
OBSTRUCTION
Total possible outcome = 11
Number of chance of getting T = 2
P(picking T) = 2/11

Correct option: B
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Question 45
A
3/10
B
1/5
C
1/6
D
1/10
Explanation
Total possible outcome
12+18+x+30+2x+45 = 105+3x
105+3x = 150
3x = 150-105
3x = 45
x = 15
P(obtaining 5) = \(\frac{2x}{(105+3x)}But x= 15\\
=\frac{2(15)}{(105+3(15))}\\
=\frac{30}{(105+45)}\\
=\frac{30}{150}\\
=\frac{1}{5}\)

Correct option: B
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Question 46
A
1110112
B
1101102
C
1010112
D
1010102
Explanation

Explanation not provided, please join discuss, your contributions are welcomed


Correct option: C
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Question 47
A
2
B
3
C
4
D
5
Explanation
If 125x = 2010, find x

125x = 1 x 32 + 2 x 31 + 5 x 30

= 1 x 9 + 2 x 3 + 5 x 1

= 9 + 6 + 5

= 20

therefore, 1253 = 2010

x = 3

Correct option: B
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Question 48
A
\(\frac{1}{4}\)
B
\(\frac{1}{3}\)
C
\(\frac{1}{2}\)
D
1
Explanation
\(\frac{\frac{3}{8} \div \frac {1}{2} - \frac{1}{3}}{\frac{1}{8} \times \frac {2}{3} + \frac{1}{3}}\)

= \(\frac{\frac{3}{8} \times \frac {2}{1} - \frac{1}{3}}{\frac{1}{8} \times \frac {2}{3} + \frac{1}{3}}\)

= \(\frac{\frac{6}{8} - \frac{1}{3}}{\frac{2}{24} + \frac{1}{3}}\)

= \(\frac{\frac {18 - 8}{24}}{\frac{2 + 8}{24}}\) = \(\frac{\frac{10}{24}}{\frac{10}{24}}\)

= \(\frac{10}{24}\) \(\div\) \(\frac{10}{24}\)

= \(\frac{10}{24}\) x \(\frac{24}{10}\) = 1

Correct option: D
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Question 49
A
123 000
B
124 000
C
125 000
D
126 000
Explanation
Express 123456 to 3 significant figures

= 123 000

Correct option: A
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Question 50
A
N3000
B
N600
C
N300
D
N150
Explanation
Calculate the simple interest on N7500 for 8 years at 5% per annum

S.I = \(\frac{P \times R \times T}{100}\)

S.I = \(\frac{7500 \times 5 \times 8}{100}\)

S.I = \(\frac{300000}{100}\)

S.I = N3000

Correct option: A

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