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1. In how many different ways can the letters of the word 'MATHEMATICS' be arranged such that the vowels must always come together?
2. How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated?
3. How many factors of 25×36×52 are perfect squares?
14.There are 10 different books and 20 copies of each book in a library. In how many ways can one or more than one book be selected?
5. If 7 spiders make 7 webs in 7 days, then how many days are needed for 1 spider to make 1 web?
6. A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. If the smaller wheel has made 21 revolutions, what will be the number of revolutions made by the larger wheel?
7. 21 goats eat as much as 15 cows. How many goats eat as much as 35 cows?
8. 01-Jan-2007 was Monday. What day of the week lies on 01-Jan-2008?
9. A vendor bought bananas at 6 for a rupee. How many for a rupee must he sell to gain 20%?
10. A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. What is his profit percentage?

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