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Question 1
A
\(\frac{2x^3}{3}\) - 2x + k 
B
x3 + 2x + k 
C
\(\frac{2x^3}{3}\) + 2x + k 
D
x3 - 2x + k 
Explanation.
\(\int\) \(\frac{2x^3 + 2x}{x}\) = \(\int\) \(\frac{2x^3}{x}\) + \(\frac{2x}{x}\) = \(\int\) (2x2 + 2) dx

\(\frac{2x^2+1}{2 + 1}\) + 2x + k

= \(\frac{2x^3}{3}\)+ 2x + k

Correct Option:
C

Question 2
A
B
10 
C
D
Explanation.
\(\frac{4 + y + 8 + 10}{4}\) = 7

22 + y = 4 x 7
22 + y = 28
y = 28 - 22 = 6

Correct Option:
A

Question 3
A

2( \(\frac{1}{3}\)X + 6 )

 
B

\(\frac{2}{3}\) ( \(\frac{1}{3}\)X + 6)

 
C

\(\frac{2}{3}\) ( \(\frac{1}{3}\)X + 6)2

 
D

\(\frac{1}{3}\) ( \(\frac{1}{3}\)X + 6)2

 
Explanation.

Y = ( \(\frac{1}{3}\)X + 6)2

\(\frac{dy}{dx}\) = 2( \(\frac{1}{3}\)X + 6) \(\frac{1}{3}\)

= \(\frac{2}{3}\) ( \(\frac{1}{3}\)X + 6)


Correct Option:
B

Question 4
A
45 
B
10 
C
35 
D
30 
Explanation.
80 - x + x + 60 - x + 20 = 150
160 - x = 150
x = 160 - 150 = 10

Correct Option:
B

Question 5
A
B
\(\frac{3}{2}\) 
C
\(\frac{2}{3}\) 
D
Explanation.
T2 = \(\frac{8}{9}\), T6 = 4\(\frac{1}{2}\)
ar = \(\frac{8}{9}\)
ar5 = \(\frac{9}{2}\)

\(\frac{ar}{ar^5}\) = \(\frac{8}{9}\) x \(\frac{2}{9}\)

\(\frac{1}{r^4}\) = \(\frac{16}{81}\)

r = \(\sqrt[4]{18/16}\) = \(\frac{3}{2}\)

Correct Option:
B

Question 6
A

230o

 
B

55o

 
C

115o

 
D

65o

 
Explanation.
< OTQ = \(\frac{130}{2}\)
= 65o

Correct Option:
D

Question 7
A
B
C
D
Explanation.
\(\frac{(n - 2) 180}{180}\) = \(\frac{1080}{180}\)

(n - 2) = 6
n = 6 + 2 = 8

Correct Option:
D

Question 8
A

82o

 
B

36o

 
C

72o

 
D

118o

 
Explanation.
< MPT = 180o - 118o = 62o

< PML = 62o ( Alternative angle)

y + 2y + 10o + 62o = 180o (Angles on a straight line)

3y = 180 - 72
\(\frac{3y}{3}\) = \(\frac{108}{3}\)
y = 36o

< PMT = 2y + 10 = 2(36) + 10 = 82o

Correct Option:
A

Question 9
A

110o

 
B

70o

 
C

95o

 
D

85o

 
Explanation.
< ROP = 95o (Exterior angle of cyclic quadrilateral)

Correct Option:
C

Question 10
A

15

 
B

16

 
C

20

 
D

18

 
Explanation.

Number of students that plays only two games = 4 + 8 + 3  = 15


Correct Option:
A

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