NUMERICAL

If $A=\{1,2,3,4,5,6\}$ and $B=\{1,2,3,...,9\}$, then the number of strictly increasing functions $f:A\rightarrow B$ such that $f(i)\ne i$ for all $i$ is:

MCQ_SINGLE

In the binomial expansion of $(ax^{2}+bx+c)(1-2x)^{26}$, the coefficients of $x$, $x^{2}$, $x^{3}$ are 56, 0 and 0 respectively. Then the value of $(a+b+c)$ is:

MCQ_SINGLE

Evaluate the limit: $\lim_{x\rightarrow0}\frac{sin(2x)-2~sin~x}{x^{3}}$

MCQ_SINGLE

If $xdy-ydx=\sqrt{x^{2}+y^{2}}dx$ and $y(1)=0$, then $y(3)=\_$ :

MCQ_SINGLE

If the domain of the function $\frac{1}{\ln(10-x)}+\sin^{-4}(\frac{x+2}{2x+3})$ is $(-\infty,-a]\cup(-1,b)\cup(b,c)$ then $b+c+3a$ is Equal to :

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