Deepaakrishnan
If k is an even integer, what is the remainder when k is divided by 10?
1) the remainder when k is divided by 5 is equal to the remainder when k is divided by 10
2) the remainder is greater than 3
The answer to this question was c
Tht is remainder =4
My doubt:
When even int k is divided by 5 we get a cycle of remainders 0,2,4,1 and 3
But when k(say k =16) is divided by 10 we get remainder as 6
How then can the remainder be equal to 4? Shouldnt the answer be e?
The approach to solve this problem is as follows:
Given: K is even integer.
statement 1:
remainder when k is divided by 5 = [0,2,4]
remainder when k is divided by 10 = [0,2,4,6,8]
possible remainders = [0,2,4]; not sufficient
statement 2:
remainder is greater than 3 = [4,6,8];not sufficient
combining both statements,
possible remainder = [4].
Quote:
But when k(say k =16) is divided by 10 we get remainder as 6
remainder with 10: 6
remainder with 5: 1
this number gets filtered out in statement 1.