MATHEMATICS (2016) | Study Mode

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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}

Correct option: A
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Question 42
MATHEMATICS (2016) Q 42 image
A

60o

B

80o

C

70o

D

50o

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

Correct option: B
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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

Correct option: C
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Question 44
MATHEMATICS (2016) Q 44 image
A

70o

B

20o

C

50o

D

30o

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

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

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


Correct option: C
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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\(\sqrt{6}\)

Correct option: D
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Question 47
MATHEMATICS (2016) Q 47 image
A

40

B

30

C

10

D

20

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

Correct option: A
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Question 48
MATHEMATICS (2016) Q 48 image
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

Correct option: C
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Question 49
MATHEMATICS (2016) Q 49 image
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 = \(\frac{30}{360}\) + \(\frac{30}{360}\)

= \(\frac{1}{12}\) + \(\frac{1}{12}\) = \(\frac{1}{6}\)

Correct option: D
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Question 50
MATHEMATICS (2016) Q 50 image
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

Correct option: C

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