TESTfunda - CAT Question of the Day 31-May-12

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Testfunda
31-May-12
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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