Mathematics 2018 | Study Mode

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Question 31
A
\(\frac{|PN|}{|PR|}\)
B
\(\frac{|PM|}{|PQ|}\)
C
\(\frac{|PM|}{|PR|}\)
D
\(\frac{|PR|}{|PQ|}\)
Explanation

\(\frac{|PN|}{|PQ|}\) = \(\frac{|PM|}{|PR|}\)


Correct option: C
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Question 32
A
If p is true and q is true
B
If p is true and q is false
C
If p is false and q is false
D
If p is false and q is true
Explanation

From the truth table above, p \(\to\) q would be false if p is true and q is false

Maths-explained-image

Correct option: B
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Question 33
A
0.0
B
0.5
C
1.0
D
1.5
Explanation

First arrange the numbers in ascending order of magnitude; 0, 0, 1, 1, 1, 1, 2, 2, 3, 4

Counting from the right, the fifth number is 1

Counting from the left, the fifth number is 1

Hence, median = \(frac{1 + 1}{2}\)

= \(\frac{2}{2}\)

= 1


Correct option: C
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Question 34
A
8
B
9
C
10
D
12
Explanation

Mean = \(\frac{\sum f x}{\sum f}\)

= \(\frac{350}{10}\)

= 35

= \(\frac{\sum f |d|}{\sum f}\)

= \(\frac{90}{10}\)

= 9


Correct option: B
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Question 35
A

63\(^o\)

B

117\(^o\)

C

126\(^o\)

D

234\(^o\)

Explanation

In the diagram,

\(\alpha\) = 180\(^o\) - 177\(^o\) (angles on a straight line)

\(\alpha\) = 63\(^o\)

t = 2 x 63\(^o\) (angle at centre = 2 x angle at circum)

= 126\(^o\)

 


Correct option: C
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Question 36
A

40\(^o\)

B

65\(^o\)

C

85\(^o\)

D

95\(^o\)

Explanation

In the diagram,

a = 50\(^o\) (alternate angles)

b\(_1\) + a 35\(^o\) = 180\(^o\) (sum of angles on a straight line)

i.e; b\(_1\) + 50\(^o\) + 35\(^o\)

= 180v

b\(_1\) + 180\(^o\) - 85\(^o\) = 90\(^o\)

But b\(_2\) = \(b_1\) = 95\(^o\) (angles in alternate segement)

 

 


Correct option: D
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Question 37
A

Trapezium

B

Prism

C

Rectangle

D

Rhombus

Explanation

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


Correct option: D
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Question 38
A

110\(^o\)

B

135\(^o\)

C

165\(^o\)

D

225\(^o\)

Explanation

In the diagram,

Thus, m = 2 x 55\(^o\) (is a bisector of obtuse

m = 110\(^o\)

n = \(\frac{1}{2}\) x 110\(^o\) (angle at centre = 2 x angle at circum)

n = 55\(^o\)

= 165\(^o\)

Maths-explained-image


Correct option: C
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Question 39
A

25cm\(^2\)

B

24cm\(^2\)

C

16cm\(^2\)

D

12cm\(^2\)

Explanation

Area of shaded part = 2 x area of \(\bigtriangleup\)SPQ

= 2 x \(\frac{1}{2}\) 8 x 3 =24cm

Hence, area of the unshaded part of the rectangle = area of rectangle - area of shaded part

= 8 x 6 - 24

= 48 - 24

= 24 cm\(^2\)


Correct option: B
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Question 40
A

i

B

ii

C

iii

D

iv

Explanation

x + 2 \(\geq\) 2x + 1

x - 2x \(\geq\) 1 - 2

-x \(\geq\) -1

\(\frac{-x}{-1}\) \(\geq\) \(\frac{-1}{-1}\)

x \(\leq\) 1


Correct option: A

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