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f(x)=1+x+x^2+....+x^6.
the remainder when f(x^7) is divided by f(x):
1)none
2)6
3)0
4) 7

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TCS Other Question

lottery balls are numbered and colored balls. in the famous lotto, six numbered balls are drawn at random from 49 balls. In each ticket one needs to guess the six numbers that would be drawn.
an urn contains m white and n black balls. a ball is drawn at random and is put back in to the urn along with k additional balls of the same color as that of the ball drawn. A ball is again drawn at random. probability of drawing a white ball now:
1) does not depend on k
2) cant be determined
3) decreases with k
4) increases with k
MR. Das has 3 sons whose ages are respectively a,b,c. The grandfather has bought a cycle for the eldest son, mother has bought a bag for the youngest one which cost Rs150/. The sum of two age of the elder son & one son is 15. The difference of age of sons is 3 & 2. What is the age of the eldest son?a)10, b)11, c) 12,d)13