\(\frac{4}{7}\) of a pole is in the mud. When \(\frac{1}{3}\) of it is pulled out, 250 cm of the pole is still in the mud. The full length of the pole is

A number consists of two digits whose sum is 8. If 18 is added to the number, its digits are interchanged. The number is

If \(2^x = 3^y = 6^{-z}\), then \(\left(\frac{1}{x} + \frac{1}{y} + \frac{1}{z}\right)\) is equal to

In a cricket team of 11 players, the average age is 28 years. Out of these, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively. If in these groups, the captain and the youngest player are not included and the captain is eleven…

A candidate scoring 25% marks in an examination fails by 30 marks while another candidate who scores 50% marks gets 20 marks more than those required to pass. The pass percentage is

The value of \(\left(\frac{1}{\sqrt{9}-\sqrt{8}} - \frac{1}{\sqrt{8}-\sqrt{7}} + \frac{1}{\sqrt{7}-\sqrt{6}} - \frac{1}{\sqrt{6}-\sqrt{5}} + \frac{1}{\sqrt{5}-\sqrt{4}}\right)\) is

A dishonest dealer professes to sell his goods at cost price. But he uses a false weight and thus gains \(6\frac{18}{47}\%\). For a kg, he uses a weight of

A train starts full of passengers. At the first station, it drops one third of passengers and takes 280 more. At the second station, it drops one half of the new total and takes 12 more. On arriving at the third station, it is found to have 248 passengers. The number of passenger…

Harish divides two sums of money among his four sons Naresh, Vipin, Bhupesh, and Yogesh. The first sum is divided in the ratio 4 : 3 : 2 : 1 and second in the ratio 5 : 6 : 7 : 8. If the second sum is twice the first, then the largest total is received by