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what does a dummy question mean in TCS pattern?

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TCS Other Question

The ratio b/w the ages of two persons is 6:5.and sum of there ages is 77 then how many years later there ratio becomes 8:7?
We all know that Arya Bhatta is the greatest mathematics belongs to India . When his daughter Mayabati was in her teen age he discovered a problem. At that time the age of Mayabati is a prime number, let that age is a. After some years her age becomes b. then Arya Bhatta was able to solve that problem with the help of his daughter Mayabati. If a-b=5 & product of a& b is 26 then what is the sum of two squares?
A)77 b) 45 c)89 d)67
A person starts writing all the 4 digits number , how many times he has written the digit 2 ?