TESTfunda - CAT Question of the Day 09-Nov-12

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Testfunda
09-Nov-12
CAT Question of the Day
Consider the following equation;

x2 + y2 + z2 = (xy)(yz)(zx)

Which of the following statement is definitely true?
OPTIONS
 
 1)The above equation has no integer solutions for x, y, z.
 2)The above equation has finitely many distinct integer solutions for x, y, z.
 3)The above equation has 2 distinct integer solutions for x, y, z.
 4)The above has infinitely many integer solution for x, y, z.
Tip of the Day
The area of any triangle is directly proportional to the square of any of its linear attributes - side, median, altitude. This property can be used to solve questions based on similar triangles faster.
Last year's Question of the day (08-Nov-11)
On a certain planet, a normal year is of 366 days while a leap year is of 367 days. A leap year occurs once in every 4 years. One of the leap years on this planet was year 784. Each year is of 12 months - January to December - like on Earth but there are 29 days in February (in a normal year) and 30 days in February (in a leap year). All other months have the same number of days as on Earth. Also, on this planet, each week is of 5 days starting from Sunday and followed by Rigday, Samday, Yajuday and Atharbaday in that order. Now, what day is 20th May, 2009? (Assume that a week rolls completely in 400 years.)
OPTIONS
 
 1)Rigday
 2)Samday
 3)Yajuday
 4)None of these
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