
Solution
\(\frac{\sqrt{32}+\sqrt{48}}{\sqrt{8}+\sqrt{12}}\)
\(=\frac{\sqrt{16\times 2}+\sqrt{16\times 3}}{\sqrt{4}\times 2+\sqrt{4\times 3}}=\frac{4(\sqrt{2}+\sqrt{3})}{2\sqrt{2}+\sqrt{3}}=2\)

Solution
\(\sqrt{2\sqrt{2\sqrt{2\sqrt{2\sqrt{2}}}}}\)
\(\sqrt{2\sqrt{2\sqrt{2\sqrt{2^{\frac{3}{2}}}}}}\)
\(=\sqrt{2\sqrt{2\sqrt{2^{1+\frac{3}{4}}}}}\)
\(=\sqrt{2\sqrt{2^{1+\frac{7}{8}}}}=\sqrt{2^{1+\frac{15}{16}}}\)
\(=2^{\frac{21}{32}}\)
The least perfect square number which is divisible by 3. 4. 5. 6 and 8. is

Solution
3 = 3
5 = 5
8 = 2^{3}
LCM=2^{3}×3×5
∴ Required number
= 23 × 3 × 5 × 2 × 3 × 5
= 8 × 15 × 30 = 120 × 30 = 3600
The expression \(\left ( 2\frac{1}{3} \right )\left ( 2\frac{3}{5} \right )\left ( 2\frac{5}{7} \right )….\left ( 2\frac{997}{999} \right )\) is equal to

Solution
None of these
\(\left ( 2\frac{1}{3} \right )\left ( 2\frac{3}{2} \right )\left ( \right ) \frac{5}{7}\)
\(\left ( 2\frac{997}{999} \right )\)
\(=\frac{5}{3}\times \frac{7}{5}\times \frac{9}{7}\times \times \frac{1001}{999}\)
\(=\frac{1001}{3}\)
Which of the following is not a free trade zone?

Solution
Trivandrum
Plan holiday in India happened after

Solution
Drought 1966
Which of the following is imported most by India?

Solution
Sulphur
If P + q implies that p is the father of q. p × q implies that p is brother of q and p – q implies that p is the mother of q then for C A+ B.which of the following is definitely true ?

Solution
As per question:
C A+ B means C is mother of A
and A is father of B
i.e.
Complete the series :2 A 9 B 6 C 13 D….

Solution
10
Which of the following group of letters is same as that of AZ EV GT DW?

Solution
The given group of letters follow the following rule :
A =1^{st} from start
Z =1^{st} from endE =5^{st} from start.
V =5^{st} from end and similarly.So from given options.
H = 8^{th} from start
S = 8^{th} from the end