# MATHEMATICS (2016) | Study Mode

Question 41
A
(2,3)
B
(2,3,18)
C
(2,3,9)
D
(2,3,6)
##### Explanation
Q = {1,2,3,6,9,18}, T = {2,3,5,7,11,13,17}
Q$$\cap$$T = {2,3}

Question 42
A

60o

B

80o

C

70o

D

50o

##### Explanation
< TVS = 180o - (80 + 20)
= 180 - 100 = 80o

Question 43
A
11.2
B
10
C
10.2
D
11.3
##### Explanation
$$\frac{10 + 8 + 5 + 11 + 12 + 9 + 6 + 3 + 15 + 23}{10}$$
= $$\frac{102}{10}$$ = 10.2

Question 44
A

70o

B

20o

C

50o

D

30o

##### Explanation
< PRO = 180o - (100 + 50)
= 180 - 150 = 30o

Question 45
A
Third quartile range
B
Semi-quartile range
C
Cummulative frequency table
D
Inter-quartile table
##### Explanation

Question 46
A
5 + 2 $$\sqrt{6}$$
B
5 - 4 $$\sqrt{6}$$
C
5 + 4 $$\sqrt{6}$$
D
5 - 2 $$\sqrt{6}$$
##### Explanation
$$\frac{\sqrt{6} - \sqrt{4}}{\sqrt{6} + \sqrt{4}}$$ = $$\frac{6-2\sqrt{6} - 2\sqrt{6} + 4}{6 - 4}$$

$$\frac{10 - 4\sqrt{6}}{2}$$ = 5 - 2$$\sqrt{6}$$

Question 47
A

40

B

30

C

10

D

20

##### Explanation
3 + 2 + 5 + 5 + + 5 + 10 + 4 + 3 + 1 + 2 = 40

Question 48
A

4.5

B

4.3

C

4.2

D

4.6

##### Explanation
(3 x 0) + (1 x 2) + (5 x 2) + (5 x 3) + (5 x 4) +
(10 x 5) + (4 x 6) + (3 x 7) + (1 x 8) + (2 x 9) $$\div$$ 40

= $$\frac{168}{40}$$ = 4.2

Question 49
A

$$\frac{1}{3}$$

B

$$\frac{1}{5}$$

C

$$\frac{1}{4}$$

D

$$\frac{1}{6}$$

##### Explanation
$$\theta$$ = 180o -(90 + 60)
$$\theta$$ = 180o - 150o = 30o

Fraction of shaded position = $$\frac{30}{360}$$ + $$\frac{30}{360}$$

= $$\frac{1}{12}$$ + $$\frac{1}{12}$$ = $$\frac{1}{6}$$

Question 50
A

x$$\leq$$-1, x $$\geq$$4

B

x$$\leq$$4

C

-1$$\leq$$x$$\leq$$4

D

x$$\leq$$-1, o$$\leq$$x$$\leq$$4

##### Explanation
The required roots/region of x is -1$$\leq$$x$$\leq$$4

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