Problem

74.	Column I	Column II
(a)	If smallest positive integral value of $x$ for which $x^2 - x - \sin^{-1}(\sin 2) < 0$ is $\lambda$ , then $3 + \lambda$ is equal to	(p) 4
(b)	Number of solution of $2[x] = x + 2\{x\}$ is (where $[\cdot]$ $\{\cdot\}$ are greatest integer and least integer functions respectively)	(q) 1
(c)	If $x^2 + y^2 = 1$ and maximum value of $x + y$ is $\frac{\sqrt{2}\lambda}{3}$ the $\lambda$ is equal to	(r) 2
(d)	$f\left(x + \frac{1}{2}\right) + f\left(x - \frac{1}{2}\right) = f(x)$ for all $x \in R$ , then period of $f(x)$ is	(s) 5
		(t) 3