j_shreyans wrote:If the positive integer x is rounded to the nearest ten, will the result be greater than x ?
(1) If x is divided by 10, the remainder is even.
(2) If x is divided by 5, the remainder is odd.
Test a set of 10 consecutive integers:
10, 11, 12, 13, 14,
15, 16, 17, 18, 19.
The five red integers rounded to the nearest ten = 10.
The five green integers rounded to the nearest ten = 20.
Thus, if x is equal to any of the green integers, the result of rounding to the nearest ten -- 20 -- will be greater than x.
Question stem, rephrased:
Is x equal to a green integer?
Statement 1: If x is divided by 10, the remainder is even.
It's possible that x =
10, 12, 14,
16, 18.
INSUFFICIENT.
Statement 2: If x is divided by 5, the remainder is odd.
It's possible that x =
11, 13,
16, 18.
INSUFFICIENT.
Statements combined:
Statement 1: x =
10, 12, 14,
16, 18.
Statement 2: x =
11, 13,
16, 18.
Only 16 and 18 satisfy both statements.
Thus, x must be equal to a green integer.
SUFFICIENT.
The correct answer is
C.
The reasoning used above will hold true for ANY set of 10 consecutive integers (20...29, 30...29, etc.).
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