Akshita is at Delhi and Rajat is at gurgaon. Started towards each other, if the ratio of their speed be 8 : 13 respectively then what is the ratio of distance covered by A and B respectively till the point of meeting?

An article is sold at a profit of 25 %. If the selling price is doubled, the profit % will be: 

Find the exact value of the following question:

$$ 3{1\over2} × 3 {1\over 7}+ 5{3\over4}÷{46\over3}=?$$

A train travelling at 48 km/hr crosses an another train half of its length and travelling in opposite direction at 42 km/hr in 12 seconds. It also passes a railway platform in 45 seconds. The length of the railway platform Is

A number is divided by 6 and 5 is added to this quotient Again sum is divided by 9 and the quotient obtained is 1. Find the number.

The area of a triangle is 24 square cm. If one side of it is 4 cm, what will be the height of the triangle?

If $$ sin(θ+30^0)= {3\over \sqrt { 12} }  $$ then find cos²θ : 

If 3 + cos²θ= 3(cot²θ + Sin²θ), 0°<θ<90°, then what is the value of (cosθ +2sinθ)?