TheUltimateWinner wrote:
If x, y, and z are three-digit positive integers and if x = y + z, is the hundreds digit of x equal to the sum of the hundreds digits of y and z ?
(1) The tens digit of x is NOT equal to the sum of the tens digits of y and z.
(2) The units digit of x is equal to the sum of the units digits of y and z.
Modified Question:
Correct choice C, according to me
Interesting twist to the original Question and I agree with the answer.
With 1 alone it is possible that the sum of tens digit do not give a carry over and the sum of tens is not equal to tens digit of z, only if it receives a carryover from Units digit. Statement 2 confirms that there is no carryover from units digit and hence C should be the answer.
Another question that makes you think when you add a twist to the original question:
If \(x,y\) belong to set of integers, is \(x^y\) odd?
(1) \(x\) is odd
(2) \(y\) is even
Modified Question:
Correct choice E, according to me.
If \(x \)is odd and\( y\) is -ve (even or odd) integer then \(x^y\) is not Integer and hence not odd.