For the following questions answer them individually
$$\frac{1}{\sqrt{12 - 2\sqrt{35}}} - \frac{1}{\sqrt{8 - 2\sqrt{15}}} - \frac{2}{\sqrt{10 + 2\sqrt{21}}} =$$
The largest three digit number, which when divided by 3 and 8 leave remainders 1 and 3 respectively, is
Traffic lights at 3 junctions A, B and C change every 15, 25 and 30 seconds respectively. If all the lights change simultaneously at 10. a.m., when will they change together apain?”
The gcd of two numbers is 23 and their sum is 184, Then the two such numbers among the following are
In the decimal representation of $$\frac{3}{22}$$ the digit in the $$25^{th}$$ decimal place is
If $$x = \sqrt{3 + \sqrt{3 + \sqrt{3 + .....}}}$$, then a true inequality among the following is
The cost price of an article is ₹ 800. Its marked price is ₹ 1,060. If the shopkeper suffers a loss of 12% on its sale, then the discount allowed on the article (approximately) is
The present population of a city is 9075 thousands. If the annual increase of population is 10%,then what was the population of the city (in thousands) 2 years ago ?