• 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: Level 1 Test -10

Congratulations - you have completed Number System: Level 1 Test -10. 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
Which is the largest?
A
1010
B
(210)5
C
(510)2
D
(45)4
Question 1 Explanation: 
$ \displaystyle \begin{array}{l}{{\left( {{2}^{10}} \right)}^{5}}={{\left( {{2}^{5}} \right)}^{10}}={{\left( 32 \right)}^{10}}\\{{\left( {{5}^{10}} \right)}^{2}}={{\left( {{5}^{2}} \right)}^{10}}={{\left( 25 \right)}^{10}}\\{{\left( {{4}^{5}} \right)}^{4}}={{\left( {{4}^{2}} \right)}^{10}}={{\left( 16 \right)}^{10}}\\and\,\,\,{{10}^{10}}\end{array}$
Question 2
If (236–1) = 68 a 19476735, where a is any digit, then the value of a is
A
1
B
3
C
5
D
7
Question 2 Explanation: 
There is a property in number system that
if n= even number, then (2nn–1), is divisible by 3.
and A number is divisible by 3, if the sum of its digits is divisible by 3
so$ \displaystyle \begin{array}{l}{{2}^{2}}-1=4-1=3\\{{2}^{4}}-1=16-1=15\\{{2}^{6}}-1=64-1=63\\{{2}^{8}}-1=256-1=255\end{array}$
Therefore a= 1
Question 3
Let x be an odd natural number. If x is divided by 6, it leaves a remainder y. if y2 is divided by 4, it leaves remainder of z. Which of the following must be true for z?
A
z = 3
B
z = 5
C
z = 1
D
z is even
Question 3 Explanation: 
$latex \displaystyle \begin{array}{l}x=6,\,\,Q+y\\{{y}^{2}}=4{{Q}_{1}}+z\end{array}$
The value of z may be 1, 2 or 3.
the value of y may be 1, 3, or 5 as if 2 or 4 be the value,
y2 will be exactly divisible by 4.
Therefore z= 1
Question 4
A boy was asked to write 25 × 92 but he wrote 2592. The numerical difference between the two is
A
0
B
1
C
2
D
3
Question 4 Explanation: 
25 × 92 = 81 × 32 = 2592.
Question 5
Which of the following is not the reciprocal of
$ \displaystyle {{\left( \frac{2}{3} \right)}^{4}}$
A
$ \displaystyle {{\left( \frac{3}{2} \right)}^{4}}$
B
$ \displaystyle {{\left( \frac{2}{3} \right)}^{-4}}$
C
$ \displaystyle {{\left( \frac{3}{2} \right)}^{-4}}$
D
$ \displaystyle \frac{{{3}^{4}}}{{{2}^{4}}}$
Question 5 Explanation: 
Reciprocal of
$ \displaystyle {{\left( \frac{2}{3} \right)}^{4}}={{\left( \frac{3}{2} \right)}^{4}}=\frac{{{3}^{4}}}{{{2}^{4}}}$
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

Join our Free TELEGRAM GROUP for exclusive content and updates

Join Our Newsletter

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