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Question 1
A
1/3 
B
C
D
1/6 
Explanation.
\(\left(\frac{81}{16}\right)^{\frac{-1}{4}}\times 2^{-1}=\frac{1}{\left(\frac{81}{16}\right)^{\frac{1}{4}}}\times \frac{1}{2}\\
=\left(\frac{16}{81}\right)^{\frac{1}{4}}\times \frac{1}{2}\\
=\left(\frac{2}{3}\right)^{4\times \frac{1}{4}}\\
=\frac{2}{3}\times \frac{1}{2}\\
=\frac{1}{3}\)

Correct Option:
A

Question 2
A
(3 √ 15 +11) / 2  
B
3 √ 15 -11  
C
(3 √ 15 -11) / 2  
D
3 √ 15 +11  
Explanation.
23+5
5-3

=2+5
x5+3
5+3
5-3

=23(5+3)+ 5(5+3)
____(5)2-(3)2

=215+2(3) +5+15
_____5 - 3


=215+6+5+15
______2

=11+315
___2

Correct Option:
A

Question 3
A
7.14 x 10-3 
B
7.14 x 10-2 
C
7.14 x 10-1 
D
7.14 x 10-4 
Explanation.
0.21 x 0.34 = 0.0714
= 7.14 x 10-2

Correct Option:
B

Question 4
A
10 
B
C
15 
D
20 
Explanation.
Let C n G = X
n C only = 40 - x
n G only = 30 - x
40 - X + 30 - X = 50
70 - X = 50
X = 70 - 50
X = 20Maths-explained-image

Correct Option:
D

Question 5
A
x(x-5)
2(x+2)
 
B
x(x-5)
2(x-2)
 
C
x(x+5)
2(x+2)
 
D
x2+5
2x+4
 
Explanation.
x2 + 3x2
2x - 8

= x(x2+3x10)
2(x2-4)

= x(x+5)(x-2)
2(x2-2 2)

= x(x+5)(x-2)
2(x-2)(x+2)

= x(x+5)
2(x+2)

Correct Option:
C

Question 6
A
12 
B
C
D
Explanation.
y x
y = Kx
K = y/x = 3/16
= 3/4
y = 3/4x
= 3/464 when x = 64
= 3/4 x 8/1
= 6

Correct Option:
B

Question 7
A
36 
B
25 
C
11 
D
55 
Explanation.
x * y = x + y2
2 * 3 = 2 + 32
= 2 + 9
= 11
(2 * 3) * 5 = 11 + 52
= 11 + 25
= 36

Correct Option:
A

Question 8
A
q = 18 
B
p <1 
C
p = 18 
D
q < 1 
Explanation.
Using substitution If 18(p+18) = (18 + p)q
let q = 18
imply 18(p+18) = (18+p)18
i.e 18p + 18 x 18 = 18 x 18 + 18p
Since the left hand side = the right hand side
imply that q = 18

Correct Option:
A

Question 9
A
B
C
D
Explanation.
\(\left[\begin{array}{cc}
x & 3\\
2 & 7\end{array}\right]\)= 15
x x 7 - 2 x 3 = 15
7x - 6 = 15
7x = 15+6
7x = 21
x = 21/7
x = 3

Correct Option:
A

Question 10
A
65o 
B
50o 
C
75o 
D
55o 
Explanation.
RTS = 90o ( in semi circle)
UTS = 25o ( in alternate segment)
X + 90 + 25 = 180(sum of s on a str line)
X + 115 = 180
X = 180 - 115
X = 65o

Correct Option:
A

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