One-fourth of a tank holds135 litres of water. What part of the tank is full if contains 180 litres of water?

A lent some money from B and paid 1,573 after$$ {1{1\over 2}}$$ yr . Also B lent some money from A and paid 1444.50 after 6 months. If they want to settle the account forthwith, keeping 14 % as the rate of interest, then who should pay whom and how much?

X and Y are centres of circles of radius 9 cm. and 2 cm respectively XY=17 cm. Z is the centre of a circle of radius r cm which touches the above circles externally. Given that - ∠xzy = 90^o the value of r is -

If is a positive acute angle and 5 cosθ + 12 sinθ = 13, then find the value of cosθ?

An amount doubles itself in 5 years simple interest. What is the rate of interest per year?

Base of a right pyramid is a square. The length of diagonal of the base is $$ {12\sqrt{2}}$$ cm. If each lateral surface of the pyramid is an equilateral triangle, then its volume (in cu.cm) is

If $$ {y\over {x-3}}={y+x\over 3}={x\over y}$$ then 3 : y : x equal to :

The ratio between three number is 2 : 3 : 5 and the sum of these number is 275. Find the smallest number.