TCS Company Numerical Ability Probability

In month of 31 days, there are exactly 4 Thursdays and 4 Sundays. What is the day of the week on the first of that month?

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TCS Other Question

if f(x) is 7x+12.then,f-1(x) (f inverse of x)is ---
a. (x-12)/7
b. 7x+12
c. 1/(7x+12)
d. No inverse exists


Q is a prime number bigger than 10. What is the smallest positive number (except 1) that 3Q can be divided by equally?