siddharthkapoor
Z = 231.abc
What is the result when Z is rounded to the nearest integer?
(1) When Z is rounded to the nearest tenth, the result is 231.5
(2) When Z is rounded to the nearest hundredth, the result is 231.46
Z = 231.abc
We need to answer the question:
Z rounded to the nearest integer = ?
Statement One Alone:=> When Z is rounded to the nearest tenth, the result is 231.5
According to the conventional rounding rule, we have:
231.45 ≤ Z < 231.55
If Z = 231.450, then Z rounded to the nearest integer = 231. Whereas, if Z = 231.500, then Z rounded to the nearest integer = 232. Statement one is not sufficient. Eliminate answer choices A and D.
Statement Two Alone:=> When Z is rounded to the nearest hundredth, the result is 231.46
According to the conventional rounding rule, we have:
231.455 ≤ Z < 231.465
We see that, for any value in the interval above, Z rounded to the nearest integer is 231. Statement two is sufficient.
Answer: B