The best way to tackle this problem is to pick numbersagarwalva wrote:what is remainder when X is divided by 5
1) X divide by 10 has a remainder of 7
2) x divided by 2 has a remainder of 1
Statement (1) X divided by 10 has a remainder 7
So X could be 17, 27, 37, 47, 57... (notice that this is an evenly spaced set)
So now that we have values for X, let's try to find the remainder if X is divided by 5
17/5 = 5(3) + 2
27/5 = 5(5) + 2
37/5 = 5(7) + 2
See: the remainder is 2, so Statement (1) is sufficient
Statement (2) X divided by 2 has a remainder 1
So could be 3, 5, 7, 9, 11, 13, 15, 17, 19, 21 ... (notice that this is also an evenly spaced set)
So now that we have values for X, let's try to find the remainder if X is divided by 5
7/5 = 5(1) + 2
11/5 = 5(2) + 1
19/5 = 5(3) + 4
21/5 = 5(4) + 1
See how we arrive at different values for the remainder? (2, 1, 4, etc.)
This means that Statement (2) is insufficient.
So the answer is A.
The key takeaway here is with these kinds of problems, it would be best not to be afraid to pick numbers. It works wonders as long as you satisfy the conditions.
All the best!
