TCS Company Numerical Ability Arithmetic

two consecutive numbers are removed from the progression 1,2,3,...., n. The arithmetic mean of the remaining numbers is 26 1/4. The value of n is?

1)50 2)60 3)81 4)cannot be determined

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TCS Other Question

If A^B means A raised to the power of B, in which of the following choices must P be greater than Q
a) 0.9^P=0.9^Q
b) 0.9^P=0.92^Q
c) 0.9^P>0.9^q
A^B means A raised to the power B. Let f(X)= 1+X,+X^2+.....X^6. The remainder when f(X^7
)is divided by f(X) is

1)7 2)0 3)6 4)none of these