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8 votes
2 answers
61
CMI2017-A-02
An FM radio channel has a repository of $10$ songs. Each day, the channel plays $3$ distinct songs that are chosen randomly from the repository. Mary decides to tune in to the radio channel on the weekend after her exams. What is the probability that no song gets repeated during ...
An FM radio channel has a repository of $10$ songs. Each day, the channel plays $3$ distinct songs that are chosen randomly from the repository.Mary decides to tune in to...
7 votes
3 answers
62
CMI2017-A-01
The regular expression $(a^*+b)^*$ is equivalent to which of the following regular expressions: $a^*b^*$ $(a^*b+b)^*$ $(a+b^*)^*$ $(a^*b)^*$
The regular expression $(a^*+b)^*$ is equivalent to which of the following regular expressions: $a^*b^*$$(a^*b+b)^*$ $(a+b^*)^*$$(a^*b)^*$
5 votes
1 answer
64
Gilbert Strang
How many n*n (0,1) matrix are invertable ? PS: original question in book is for 2*2
How many n*n (0,1) matrix are invertable ?PS: original question in book is for 2*2
3 votes
0 answers
65
Self Doubt
Let < G, * > be a finite group and let H1 and H2 be it's sub group as per lagrange theorem we know order of sub group divides order of group, my doubt is, is it possible that we can have multiple subgroup of same cardinality for a particular group ? $\left | H1 \right |=\left | H2 \right |$
Let < G, * be a finite group and let H1 and H2 be it's sub group as per lagrange theorem we know order of sub group divides order of group, my doubt is, is it possible t...
0 votes
2 answers
70
PGEE 2017
Consider a graph where vertex having number 2 to 12 (including 2 and 12), there is an edge between two vertex x and y iff x divides y What would be maximum path length between any two vertices of graph ?
Consider a graph where vertex having number 2 to 12 (including 2 and 12), there is an edge between two vertex x and y iff x divides yWhat would be maximum path length bet...
1 votes
1 answer
71
PGEE 2017
Consider a graph where vertex having number 2 to 12 (including 2 and 12), there is an edge between two vertex x and y iff x divides y Which vertex will have highest in degree ?
Consider a graph where vertex having number 2 to 12 (including 2 and 12), there is an edge between two vertex x and y iff x divides yWhich vertex will have highest in deg...
3 votes
3 answers
72
PGEE 2017
Consider a graph where vertex having number 2 to 12 (including 2 and 12), there is an edge between two vertex x and y iff x divides y Find number of strongly connected components
Consider a graph where vertex having number 2 to 12 (including 2 and 12), there is an edge between two vertex x and y iff x divides yFind number of strongly connected com...
1 votes
2 answers
73
PGEE 2017
$\int_{-3}^{3} \left | X+1 \right |dx$
$\int_{-3}^{3} \left | X+1 \right |dx$
5 votes
1 answer
75
ISI2004-MIII: 23
If $\textit{f}(x)=x^{2}$ and $g(x)=x \sin x +\cos x$ then $f$ and $g$ agree at no point $f$ and $g$ agree at exactly one point $f$ and $g$ agree at exactly two point $f$ and $g$ agree at more then two point
If $\textit{f}(x)=x^{2}$ and $g(x)=x \sin x +\cos x$ then$f$ and $g$ agree at no point$f$ and $g$ agree at exactly one point$f$ and $g$ agree at exactly two point$f$ and ...
6 votes
1 answer
76
ISI2004-MIII: 22
If $\textit{f}(x)=\frac{\sqrt{3}\sin x}{2+\cos x}$ then the range of $\textit{f}(x)$ is the interval $\left[-1,\frac{\sqrt{3}}{2}\right]$ the interval $\left[\frac{-\sqrt{3}}{2},1\right]$ the interval $\left[-1,1\right]$ none of the above
If $\textit{f}(x)=\frac{\sqrt{3}\sin x}{2+\cos x}$ then the range of $\textit{f}(x)$ isthe interval $\left[-1,\frac{\sqrt{3}}{2}\right]$the interval $\left[\frac{-\sqrt{3...
1 votes
3 answers
78
Gate math book
Find the sum of n terms of the series $log a+ log \frac{a^{2}}{b} + log \frac{a^{3}}{b^{2}}+ ...$ to n terms
Find the sum of n terms of the series$log a+ log \frac{a^{2}}{b} + log \frac{a^{3}}{b^{2}}+ ...$ to n terms
1 votes
2 answers
79
ISI 2004 MIII
The inequality $\frac{2-gx+x^{2}}{1-x+x^{2}}\leq 3$ is true for all the value of $x$ if and only if $1\leq g\leq 7$ $-1\leq g\leq 1$ $-6\leq g\leq 7$ $-1\leq g\leq 7$
The inequality $\frac{2-gx+x^{2}}{1-x+x^{2}}\leq 3$ is true for all the value of $x$ if and only if$1\leq g\leq 7$$-1\leq g\leq 1$$-6\leq g\leq 7$$-1\leq g\leq 7$
5 votes
3 answers
80
ISI2004-MIII: 13
Let $X =\frac{1}{1001}+\frac{1}{1002}+\frac{1}{1003}+\ldots+\frac{1}{3001}$. Then $X< 1$ $X>\frac{3}{2}$ $1< X< \frac{3}{2}$ none of the above
Let $X =\frac{1}{1001}+\frac{1}{1002}+\frac{1}{1003}+\ldots+\frac{1}{3001}$. Then$X< 1$$X>\frac{3}{2}$$1< X< \frac{3}{2}$none of the above
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