• This is an assessment test.
  • To draw maximum benefit, study the concepts for the topic concerned.
  • Kindly take the tests in this series with a pre-defined schedule.

Number System: Exponent Test-4

Congratulations - you have completed Number System: Exponent Test-4.You scored %%SCORE%% out of %%TOTAL%%.You correct answer percentage: %%PERCENTAGE%% .Your performance has been rated as %%RATING%%
Your answers are highlighted below.
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
Once you are finished, click the button below. Any items you have not completed will be marked incorrect. Get Results
There are 5 questions to complete.
List
Return
Shaded items are complete.
12345
End
Return

Want to explore more Number System Tests?

Explore Our Number System Tests

Website Popup

Join our Free TELEGRAM GROUP for exclusive content and updates

Rsz 1rsz Close Img

Join Our Newsletter

Get the latest updates from our side, including offers and free live updates, on email.

Rsz Undraw Envelope N8lc Smal
Rsz 1rsz Close Img