If the positions of the digits of a two-digit number are interchanged, the number obtained is smaller than the original number by 27. If the digits of the number are in the ratio of 1 : 2, what is the original number? 

If $$ {\sqrt{4^{n}}=1024}$$, then the value of n is:

A shopkeeper allows a discount of 10% on the marked price of an item but charges a sales tax of 8% on the discounted price. If the customer pays ₹ 3,402 as the price including the sales tax, then the marked price is 

The passing score of an exam is 33 percent. Anshul scored 160 marks but failed by 38 marks. Then what percentage marks Anshul got.

In an election only two candidates A and B contested 30% of the voters did not vote and 1600 votes were declared as invalid. The winner, A got 4800 votes more than his opponent thus he secured 51% votes of the total voters on the voter list. Percentage votes of the loser candidate, B out of the total voters on the voter list is:

7 × 7 of 3 ÷ 3 -14 × P=7, then find out the value of P?

If $$ {(x+{1 \over{x}})^{2}}=3$$, the value of of $$  {x^{206}+x^{200}+x^{90}+x^{84}+x^{18}+x^{12}+x^{6}+1}$$

$$ \sqrt {sec^2{θ}+cosec^2{θ}}=?$$