TESTfunda - CAT Question of the Day 27-Aug-12

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Testfunda
27-Aug-12
CAT Question of the Day
Let x, y and z are three integers such that z ≠ 1. How many (x, y, z) triplets exist which satisfies the following equations?

x + y = 1 − z,

x3 + y3 = 1 − z2
OPTIONS
 
 1)4
 2)5
 3)6
 4)8
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 generel, 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 (26-Aug-11)
How many distinct real roots does  (x2 + x – 2)3 + (–2x2 + 8)3 = (x2 + 3x + 2)3 have?
OPTIONS
 
 1)2
 2)3
 3)4
 4)5
 5)6
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