CAT Question of the Day Let S be a set with six elements. In how many different ways can one select two subset of S, not necessarily disjoint, so that union of these two subset is S? Assume the order of selection does not matter. For example, pair of subset {a, c} and {b, c, d, e, f} represent the same selection as pair as {b, c, d, e, f} and {a, c}.
| OPTIONS | | |  | 1) | 365 | | | 2) | 64 | | | 3) | 63 | | | 4) | 128 |
Tip of the Day If all the coefficients of the different powers of x in an equation are positive, the equation does not have any positive root and if all the coefficients of even powers of x of an equation are of one sign and all the coefficients of the odd powers of x are of the opposite sign, the equation does not have any negative root. Last year's Question of the day (20-Nov-11) In a coaching institute, some faculty were allocated for teaching students three subjects: English, Mathematics and Botany. 56 students enrolled for English, 48 for Mathematics and 40 for Botany. 12 of them enrolled for both English and Mathematics, 16 for both Mathematics and Botany, while 20 enrolled for both Botany and English. The number of students who enrolled for only one subject is 78 and 30 students enrolled their name only for Mathematics. However, it was mandatory that every student had to enroll his/her name atleast for one subject out of three. What is the number of students who enrolled for English and Botany but not Mathematics?
| OPTIONS | | | | | 1) | 10 | | | 2) | 6 | | | 3) | 2 | | | 4) | 18 |
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