# Mathematics 2008 | Study Mode

Question 41
A
1
B
2
C
5
D
7
##### Explanation
X = 20/4
= 5
mean deviation = 8/4 = 2

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

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

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

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) = $$\frac{2x}{(105+3x)}But x= 15\\ =\frac{2(15)}{(105+3(15))}\\ =\frac{30}{(105+45)}\\ =\frac{30}{150}\\ =\frac{1}{5}$$

Question 46
A
1110112
B
1101102
C
1010112
D
1010102

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

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

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

= 123 000

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

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