In a class, two-thirds of the students play football, half of the remaining play both football and cricket, and the remaining ten students play only cricket. How many students play both football and cricket?

Since half of the remaining play both football and cricket, the remaining 10 who play only cricket comprise the other half. Now, both the halves must be equal. Hence, required no. of students = 10.

If it is possible to make only one meaningful word with the first, the second, the fifth and the ninth letters of the word MEDIATION, which of following will be the third letter of that word? If no such word can be made, give 'X' as the answer and if more than one such word can be made, give 'Z' as the answer

Pradeep correctly remembers that he visited Chennai before twelfth of July but after eighth of July. His friend correctly remembers that Pradeep visited Chennai after tenth of July but before fourteenth of July. On which day of July did Pradeep visit Chennai?

From the statements of pradeep and his friend, we come to know that Pradeep visited Chennai after 10th of July but before 12th of July, ie 11th of July.

Prabir started walking towards South. He took a right turn after walking 10 metres. He again took a left turn after walking 20 metres. Which direction is he facing now?