What will come in place of question mark ( ? ) in the following series?
13, 25, 61, 121, 205, ? 

 A student scored 32 % marks in science subjects out of 300. How much should he score in language papers out of 200 if he is to get overall 46 % marks? 

A sum of Rs. 2000 amounts to Rs. 4000 in two years at compound interest. In how many years does the same amount becomes Rs. 8000. 

The average of a set of 20 numbers is P. If one of the numbers from the set is replaced with 58, then the average becomes (P - 2). What is the value of the number that is replaced?

If 2x + 3y - 5z = 18 , 3x + 2y + z = 29 and x + y + 3z = 17 , then what is the value of xy + yz + zx ? 

Out of total capital required to start a business A invested 30 %, B invested $$2\over 5$$ and C invested the remaining capital. At the end of one-year sum of Rs. 4000 is earned as a profit which is 20% of the capital given by B, then find how much C invested in the business? 

Directions:  In the following two equations questions numbered (I) and (II) are given. You have to solve both equations and
Give answer
(a) If x > y
(b) If x ≥ y
(c) If y > x
(d) If y ≥ x
(e) If x = y or no relation can be established

$$ {I.2x^{2}+x-28=0}$$
$$ {II. 2y^{2}-23y+56=0}$$

What will be compound interest on a sum of Rs. 1000 at the rate of interest 10% after 5 years?