TCS Company Numerical Ability Number System

remainder of (16937^30)/31
how to solve these remainder questions??

Read Solution (Total 10)

TCS Other Question
Mr. Swamy, a Professor of an MBA school Laurels is an expert at creating puzzles. On the induction day for the first year MBA students of the academic year 2012 he asked his students to guess his date of birth in the form(dd-mm-yy), where yy represent the last two digits of the year in which he was born.
He put the following conditions before them.
1) In 2012, his age is more than 46 years but less than 49 years.
2) Three of the digits in his date of birth are consecutive odd numbers.
3) There is exactly one natural number of the form (x2 -1) in his date of birth (where x is a single digit odd number).
4) There is exactly one two digit prime number (taken either as dd or mm or yy) in his date of birth.
Now on the basis of the above information answer the following questions.

4. Which is the month in which Mr. Swamy was born?
1] November 2] July 3] August 4] Cannot be determined

5. What is the sum of (d + d + m + m + y + y) in his date of birth?
1] 15 2] 18 3] 23 4] 27

6. On which date (dd) was Mr. Swamy born?
1] 21 2] 11 3] 13 4] Cannot be determined


 3. What is where is the number of ways of choosing k items from 28 items?
a) 406 * 227
b) 306 * 226
c) 28 * 227
d) 56 * 227