recategorized by
379 views

1 Answer

0 votes
0 votes

Option C) is correct

Number of subsets of both the set = $2^m, 2^n$ respectively 

According to question:

$2^m = 96+2^n$

$2^m - 2^n = 96$

Only Option c) satisfies $2^7-2^5=128-32= 96$

Related questions

3 votes
3 votes
2 answers
1
gatecse asked Sep 18, 2019
532 views
The value of $\dfrac{1}{\log_2 n}+ \dfrac{1}{\log_3 n}+\dfrac{1}{\log_4 n}+ \dots + \dfrac{1}{\log_{2017} n}\:\:($ where $n=2017!)$ is$1$$2$$2017$none of these
0 votes
0 votes
2 answers
2
gatecse asked Sep 18, 2019
393 views
The area of the shaded region in the following figure (all the arcs are circular) is$\pi$$2 \pi$$3 \pi$$\frac{9}{8} \pi$
2 votes
2 votes
1 answer
3
gatecse asked Sep 18, 2019
415 views
If $2f(x)-3f(\frac{1}{x})=x^2 \: (x \neq0)$, then $f(2)$ is$\frac{2}{3}$$ – \frac{3}{2}$$ – \frac{7}{4}$$\frac{5}{4}$
1 votes
1 votes
1 answer
4
gatecse asked Sep 18, 2019
438 views
If $A$ is a $3 \times 3$ matrix satisfying $A^3 – A^2 +A-I= O$ (where $O$ is the zero matrix and $I$ is the identity matrix) then the value of $A^4$ is$A$$O$$I$none of ...