The area of the region defined by $5x^2\leq y\leq 2x^2+9$ is (1) $6\sqrt3$ (2) $12\sqrt3$ (3) $18\sqrt3$ (4) $9\sqrt3$

Find the value of n+1C2 + 2(2C2 + 3C2 + …… + nC2) = ? (1) $n(n+1)(2n-1)\over6$ (2) $n(n+1)(2n+1)\over6$ (3) $(n-1)n(n+1)\over6$ (4) $n(n+1)\over2$

Which of following is tautology ? (1) $A\land(A\to B)\to B$ (2) $B\to(A\land A\to B)$ (3) $A\land (A\lor B)$ (4) $(A\lor B)\land A$

$\lim\limits_{x\to0}\left(\tan\left({\pi\over4}+x\right)\right)^{1/x}$ is equal to (1) 2 (2) 1 (3) e (4) e2

Which of the following is a tautology ? (1) $(\sim p)\land(p\lor q)\to q$ (2) $(q\to p)\ \lor\sim(p\to q)$ (3) $(\sim q)\lor(p\land q)\to q$ (4) $(p\to q)\land(q\to p)$

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