CAT Question of the Day The smallest value of k, for which both the roots of the equation x2 − 8kx + 16(k2 − k + 1) = 0 are real, distinct and both the roots are greater than or equal to 4.
| OPTIONS | | |  | 1) | 1 | | | 2) | 2 | | | 3) | 0 | | | 4) | None of these |
Tip of the Day Natural numbers ending in 0, 1, 5 and 6 have unit's digit cyclicity of 1. Numbers ending in 2, 3, 7 and 8 have a cyclicity of 4 and numbers ending in 4 have a cyclicity of 2. In general, after every four consecutive powers of any natural number, the digit in the unit's place repeats itself. Last year's Question of the day (30-May-11) How many points with integer coordinates lie on the circle x2 + y2 = 4403?
| OPTIONS | | | | | 1) | 46 | | | 2) | 43 | | | 3) | 31 | | | 4) | No solutions | | | 5) | None of these |
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