If $a_{1}$ < $a_{2}$ < $a_{3}$ < $a_{4}$ < $a_{5}$ < $a_{6}$ , then the equation $(x - a_{1}) (x - a_{3}) (x - a_{5}) + 2 (x - a_{2}) (x - a_{4}) (x - a_{6})$ = 0 has

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Consider the following statements :A number a1a2a3a4a5a6 is divisible by 11 if 1. (a1+a3+a5)−(a2+a4+a6)=02.(a2+a4+a6)−(a1+a3+a5)=0Which of these statements is/are correct?

The correct option is C Both 1 and 2A number a1a2a3a4a5a6 is divisible by 11 when(a2+a4+a6)−(a1+a3+a5)=0 or (a1+a3+a5)−(a2+a4+a6)=0So both the given statements are correct.Hence C is the correct option.

Consider the following statements :
A number $a_{1} a_{2} a_{3} a_{4} a_{5} a_{6}$ is divisible by 11 if
1. $(a_{1} + a_{3} + a_{5}) - (a_{2} + a_{4} + a_{6}) = 0$
2. $(a_{2} + a_{4} + a_{6}) - (a_{1} + a_{3} + a_{5}) = 0$
Which of these statements is/are correct?

The correct option is C Both 1 and 2
A number $a_{1} a_{2} a_{3} a_{4} a_{5} a_{6}$ is divisible by 11 when
$(a_{2} + a_{4} + a_{6}) - (a_{1} + a_{3} + a_{5}) = 0$
or
$(a_{1} + a_{3} + a_{5}) - (a_{2} + a_{4} + a_{6}) = 0$
So both the given statements are correct.
Hence C is the correct option.