TCS Company Numerical Ability Number System

How many 5’s will be there in the number 121,122,123,... till 356
a. 51
b. 54
c. 50
d. 49

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TCS Other Question

54. An absentminded professor has a very peculiar problem, in that he cannot remember numbers larger than 15. However. he tells his wife. I can remember any number up to Ioo by remembering the three numbers obtained as remainders when the number is divided by 3, 5 and 7 respectively. For example. (2.23) is 17. Professor remembers that he had (l.l.6) rupees in the purse, and he paid (10.6) rupees to the servant. How much money is left in the purse? The numbers 272738 and 232342, when divided by n, a 2 digit number, leave a remainder of 13 and 17 respectively. Find the sum of the digits of n?
a. 7
b. 8
c. 5
d. 4