If $$ {sin\ {θ}}={1\over {\sqrt{2}}}$$ then (tanθ+cosθ)=?

In a kilometer race, A can give B a start of 100 m or 15 seconds. How long does A take to complete the race?

The curved surface area of cylindrical pillar is $$ {264 m^{2}}$$ and its volume is $$ {924 m^{3}}$$. Find the ratio of its diameter to its height.

A, B and C can complete a work in 10, 20 and 30 days respectively. If D can destroy the same work in 15 days. Find the time taken by all of them to complete the whole work.

The value of $$ cos {20^o} cos {40^o}cos {60^o}cos {80^o}$$ is:

Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and give answer.
(A) x>y
(B) x≥y
(C) x˂y
(D) x≤y
(E) x=y or the relations ship cannot be established

 I. x²-7x + 12 = 0
II. y² - 12y + 32 = 0 

If the perimeter of a triangle is 30 cm and the area is 30 square cm, if the length of the larger side is 13 cm, then what is the length of the shorter side?

O is the incentre of ∆ABC and ∠A = 30° then ∠BOC is