digits

[enriquegarciagil]

As part of my MG CAT 4 test, the following data sufficiency question came up to me:

What is the value of the tenths digit of number x?

(1) The hundredths digit of x is 5
(2) Number x, rounded to the nearest tenth, is 54.5

According to the test, the corect answer is C.

From my point of view, the correct choice should be E.

(1) is not giving enough information.
(2) is telling us that that, once rounded, the tenths digit becomes 5, but even together with datum (1) we have two choices: 54.45 and 54.55. Both choices will yield 54.5 when rounded to the nearest tenth.

what am I missing here?


I would really appreciate if anyone could provide me with a bit of light here.

thanks!!

Enrique

[sharath.nair]

I share the same opinion. E would be my choice.

Perhaps one of the instructors could clarify.

[ranveer.veer]

54.55 when rounded would result 54.6 so C is the correct option!

[Ben Ku]

It's clear that each statement alone is insufficient.

Let's start with (2). This statement says that the tenths place is either 4 or 5.

54.4z if z = 5, 6, 7, 8, or 9
54.5z if z = 0, 1, 2, 3, or 4.

Statement (1) says that the hundredth's digit is 5, so that means z = 5. If z is 5, then the tenth's place MUST be 4. So the answer must be (C).

Where you went wrong is that 54.55 rounded to the nearest tenth is 54.6, which is contradictory to statement (2).

Hope that helps.