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Number System: Exponent Test-4

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Question 1
If 23x = 64 and 3√y = 81 then what will be the value of {(3x-1)3-2} / 1/3y
A
3/y
B
315
C
45
D
None
Question 1 Explanation: 
23x = 64
23x = 26
3x = 6
x = 2
now 3√y = 81
3√y = 34
√y = 4
y = 16
Therefore the value of {(3x-1)3-2} / 1/316
{31 x 1/9 } / 1/316
= 315 so option B
Question 2
What will be the value of {a-2/y6 } x (a-4y-6/z3)4
A
a-18 y-30 z-12
B
a-14 y-30 z-12
C
a-14 y-30 z-10
D
None
Question 2 Explanation: 
= {a-2/y6 } x (a-4y-6/z3)4
= {a-2y-6 } x (a-4y-6z-3)4
= {a-2y-6 } x (a-12y-24z-12)
= (a-18 y-30 z-12)
So option A
Question 3
What will be the exponent value of 2 value of {54 a3/24 b0}3 {4-3 a-2/53 b}-3
A
18
B
12
C
6
D
none
Question 3 Explanation: 
{54 a3/24 b0}3
{4-3 a-2/53 b}-3
={54 a3 2-4 b0}3
{4-3 a-2 5-3 b}-3
= {520 a9 2-12 b0} {49 a6 59 b}
={520 a9 2-12 b0} {218 a6 59 b}
= the exponent of 2 from here is 6 So option C is the right answer
Question 4
What is the value of x if 4(x +2) = 1/16
A
4
B
-4
C
-2
D
2
Question 4 Explanation: 
4(x +2) = 1/16
4(x +2) = 1/42
4(x +2) = 4-2
(x +2) = -2
x = -4
Question 5
If 3(2x+2) = 243(4x) then what will be the value of x
A
1/20
B
1/22
C
1/18
D
None
Question 5 Explanation: 
3(2x+2) = 243(4x)
3(2x+2) = 35(4x)
(2x+2) = 5(4x)
x = 1/9
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