TESTfunda - CAT Question of the Day 12-Jul-12

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Testfunda
12-Jul-12
CAT Question of the Day
Consider the following three polynomials,

P1(x) = ax2 bxc,

P2(x) = bx2 cxa,

P3(x) = cx2 axb,

Here a, b and c are non-zero real numbers.

Let there exists a real number α, such that P1(α) = P2(α) = P3(α), then which of the following is definitely true?
OPTIONS
 
 1)ab + bc + ca = 0
 2)a3 + b3 + c3 = 0
 3)a = b = c
 4)a + b + c = 0
Tip of the Day
While solving question types based on grammar rules involving multiple statements as part of the same question, the analysis of one of those statements can help in eliminating a few options and reduce the effort of analysing all the statements.
Last year's Question of the day (11-Jul-11)
A vertical pole of height h subtends an angle of depression of 53° at a point A and 26.5° at point B. Points A and B lie in the same vertical plane as the pole and are on the same side of the pole. Also, they are 10 metre apart. What is the height of the pole?
(cos 53° = 0.6)
OPTIONS
 
 1)6 m
 2)8 m
 3)12.5 m
 4)10 m
 5)12 m
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