AP ICET 2011

If $$\left(\frac{1}{3}\right)^{rd}$$ of a number is $$\frac{1}{10}$$, then $$\left(\frac{4}{5}\right)^{th}$$ of that number is

If $$x + y + z = 0$$, then for any $$a > 0, a^{\frac{x^2}{yz}} a^{\frac{y^2}{zx}} a^{\frac{z^2}{xy}} =$$

Three persons A, B and C can do a work individually in 10 days, 12 days and 15 days respectively. If all the three persons work together, the number of days needed to complete the same work is

By selling 15 mangoes, a fruit seller recovers the cost price of 20 mangoes. What is the profit percentage ?

The monthly incomes of two persons P and Q are in the ratio 4 : 3 and their monthly expendituresare in the ratio 3 : 2. If each of them save ₹ 750 per month, then Q’s monthly income is

Two taps A and B can fill a tank in 12 and 18 minutes respectively. Both are kept open for 2 minutes and then the tap A is closed. In how many minutes will the tank be filled ?

A rectangle of length, 12 cm and breadth 5 cm is inscribed in a, circle of radius r cm. Then r (in cm) is

An item costing ₹200 is being sold out at 10% loss. If the price is further reduced by 5%, the selling price will be

$$\frac{6^{\frac{4}{3}}. (24)^{\frac{2}{5}}}{9^{\frac{1}{4}}. 12^{\frac{1}{2}}} = 3^a2^b$$, then $$a + b =$$

A train runs from station A to station B in 1 hr. 20 min,If the train is running at a speed of 18 kmph,then the distance between A and B is