CAT Question of the Day  If 2[cos a × sin a + cos 4 a × sin 2 a + cos 9 a × sin 3 a + … + cos n2a × sin na] is an integer, what is the smallest possible positive value of n? | OPTIONS | | |  | 1) | 503 | | | 2) | 1006 | | | 3) | 2012 | | | 4) | 502 |
Tip of the Day In algebra based questions, if a direct answer is not obtainable, try substituting the options in place of the variables. More often than not the correct answer can be found out this way. Last year's Question of the day (18-Dec-11) The total number of factors of a number is 24 and the product of the prime factors of the same number is 30. The square root of the ratio of the smallest possible number and the greatest possible number satisfying this condition is:
| OPTIONS | | | | | 1) | 6/25 | | | 2) | 4/25 | | | 3) | 9/25 | | | 4) | None of these |
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