self Maths Puzzle

Find the highest power of 12 that divide 49!.

Read Solution (Total 2)

count factor of 2^2 & 3 in 49!
the factor of 2^2 in 49! are 15
the factor of 3 in 49! are 22
now we will take minimum of these two
the answer will be 15.
10 years agoHelpfull: Yes(3) No(0)

count factor of 2 in 49!
24+12+6+3+1=46
2^46 is factor of 49!
factor of 3
16+5+1=22
so 3^22*2^46 is factor of 49!
12^22 is biggest factor
10 years agoHelpfull: Yes(2) No(1)

self Other Question

A three digit non-zero number 'abc' in base 5, when converted to base 7, becomes 'cba'. Which of the following is necessarily true?
option
1. a must be 2
2. c must be 2
3. b must be 0
4. None of these What isΣ ( ), where is the number of ways of choosing k items from 28 items?