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

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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



OA C

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BTGmoderatorDC wrote:
Wed Feb 12, 2020 6:31 pm
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

OA C

Source: GMAT Prep
Say the number x = ab.cd, where c = tenths digit and d = hundreths digit

We have to get the value of c.

Let's take each statement one by one.

(1) The hundredths digit of x is 5.

=> x = ab.c5. Can't get the value of c. Insufficient.

(2) Number x, rounded to the nearest tenth, is 54.5.

Case 1: x = 54.5d, if d ≤ 4
Case 2: x = 54.4d, if d ≥ 5

Since the value of d is unknown, the unique value of c cannot be known. Insufficient.

(1) and (2) together

Thus, only Case 2 is applicable; hence, c = 4. Sufficient.

The correct answer: C

Hope this helps!

-Jay
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