If $x=sin^{2}\theta+\cos^{4}\theta$ then for all values of $\theta$ :
1). $1\leq x\leq 2x$
2). $1\leq x\leq 3$
3). $0.75\leq x\leq 1$
4). $0.5\leq x\leq 1.5$
The prime factorization of 42833 is given by :
1). 7.21. 291
2). 7.21. 299
3). 7.21. 219
4). 7.29. 211
If a straight line makes angles $\alpha,\beta,\gamma$ with the axes of coordinates, then $cos2\alpha+cos2\beta+cos2\gamma$ is equal to:
1). 2
2). 1
3). -1
4). -2
The sum of the 24 terms of the series $\sqrt{2}+\sqrt{8}+\sqrt{18}+\sqrt{32}+....is:$
1). $500\sqrt{2}$
2). $100\sqrt{2}$
3). $200\sqrt{2}$
4). $300\sqrt{2}$
The number of real solutions of the equation $\frac{1}{x+1}-\frac{1}{x+2}=\frac{1}{x+4}-\frac{1}{x+5}$ is
1). 4
2). 1
3). 3
4). 2