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1.

If $\sqrt{2}$ = 1.414 ,the square root of $\frac{\sqrt{2}-1}{\sqrt{2}+1}$ is nearest to :


A) 0.172

B) 0.414

C) 0.586

D) 1.414



2.

$\frac{3+\sqrt{6}}{5\sqrt{3}-2\sqrt{12}-\sqrt{32}+\sqrt{50}}$ is equal to ?


A) 3

B) $3\sqrt{2}$

C) 6

D) None of these



3.

A general wishes  to draw up his 36581 soldiers in the form of solid square.After arranging them,he found that some of them are left over. How many are left?


A) 65

B) 81

C) 100

D) None of these



4.

The largest four-digit number which is perfect cube is :


A) 8000

B) 9261

C) 9999

D) none of these



5.

$\frac{\sqrt{7}+\sqrt{5}}{\sqrt{7}-\sqrt{5}}$ is equal to :


A) 1

B) 2

C) $6-\sqrt{35}$

D) $6+\sqrt{35}$



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