MCA Entrance Previous Year Question Bank

In the expansion of (1+x)⁵⁰ the sum of coefficients of odd powers of x is

The number of 4-digit numbers that can be formed with the digits 0,1,2,3,4,5,6,7 so that each number contain digit 1 is

If R is the largest equivalence relation on a set A and S is any relation on A, then

The coefficient of $y$ in the expansion of ${\left(y^2+\frac{c}{y}\right)}^5$ is

The value of $b$ for which the equations $x^2+bx-1=0$ and $x^2+x+b=0$
have no root in common is

$\arg (z)+\arg (\bar{z});(z\ne 0)$

If x is any complex number satisfying |z – 3 – 2i| < 2 then the minimum value of |2z – 6 + 5i| is

$\text{The domain of }\sqrt{|x-2|-1}+\sqrt{3-|x-2|}\text{ is}$

$\text{If }f(x)=a{x}^7+b{x}^3+cx-5,$ $\text{where }a,b,c\text{ are real constants, and }f(-7)=7,$ $\text{then the range of }f(7)+17\cos x\text{ is:}$

For real numbers x and y, define xRy iff $x-y+\sqrt{2}$ is an irrational number. Then the relation R is