In a container, two types of liquids P and Q are in the ratio of 3 : 7. If 10 litres mixture is drawn off from the container and filled with 6 litres of liquid Q,then the ratio of P and Q becomes 1 : 3. What was the original quantity (in litres) of mixture?

P, Q and R are partners in a company. In any year P receives 1/9 part of profit, Q receives 1/6 part of profit and R receives Rs 130000. How much amount (in Rs) will P get as profit?

If y% of y is 289, then what is the value of y?

Consider the following figure shown below and choose which of the following equation is correct about the similarity of both triangles?

Calculate the length (in cm) of PQ, if the radius of the circle is 7 cm and the line through the centre O meets the tangent at point Q such that OP = 25 cm.

What will be the value of r2+p2+s2-rp-ps-rs when r = 4, p = 2, s = 8?

Which of the following value of 'x' satisfies the equation 814x+4 = 2432x+8?

In a farm, in addition to 48 hens there are 42 sheep and 11 oxen with some shepherds. If the total number of feet be 224 more than the number of heads, find the number of shepherd.