When rounded to the nearest hundredths digit, the number p becomes 6.72. What is the hundredths digit of p? (1) The thousandths digit of p is 3.(2)The sum of the hundredths and the thousandths digits of p is 5 a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer?

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When rounded to the nearest hundredths digit, the number p becomes 6.72. What is the hundredths digit of p?

(1) The thousandths digit of p is 3.

(2) The sum of the hundredths and the thousandths digits of p is 5

a)
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
b)
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
c)
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
d)
EACH statement ALONE is sufficient.
e)
Statements (1) and (2) TOGETHER are NOT sufficient.

Correct answer is option 'D'. Can you explain this answer?

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Test: Estimation And Rounding- 1

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When rounded to the nearest hundredths digit, the number p becomes 6.7...

Steps 1 & 2: Understand Question and Draw Inferences

We are given a number p. We have to find the hundredths digit of p.

Let’s say p = a.bcde (Here a, b, c, d and e are digits)

We are given that on rounding to the hundredths digit, p becomes 6.72

So, by comparing the form a.bcde with 6.72, we conclude that:

a = 6, b = 7 and:

If d ≥ 5, then c = 1

If d < 5, then c = 2

We need to find the value of c.

Step 3: Analyze Statement 1

Statement 1 says: The thousandths digit of p is 3.

So, the number a.bcde = a.bc3e

That is, d = 3

From the condition above, this clearly implies that c = 2

Thus, Statement 1 alone is sufficient to answer the question: what is the value of c?

Step 4: Analyze Statement 2

Statement 2 says: The sum of the hundredths and the thousandths digits of p is 5

That is, c + d = 5

We have inferred that:

If d ≥ 5, then c = 1

In this case, the sum of c + d will range from 6 to 10, inclusive

We also inferred that

If d < 5, then c = 2

This means, if d = 0, 1, 2, 3 or 4, then c = 2

Out of these possible values of d, we see that if d = 3, then c = 2 and the condition given in Statement 2 (that c + d = 5) is also fulfilled.

Therefore, using Statement 2, we can deduce that:

c = 2

Thus, Statement 2 alone is sufficient to find the value of c.

Step 5: Analyze Both Statements Together (if needed)

This step is not needed as we get a unique value for c in both steps 3 and 4.

Answer: Option (D)

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When rounded to the nearest hundredths digit, the number p becomes 6.72. What is the hundredths digit of p? (1) The thousandths digit of p is 3.(2)The sum of the hundredths and the thousandths digits of p is 5 a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer?

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When rounded to the nearest hundredths digit, the number p becomes 6.72. What is the hundredths digit of p? (1) The thousandths digit of p is 3.(2)The sum of the hundredths and the thousandths digits of p is 5 a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about When rounded to the nearest hundredths digit, the number p becomes 6.72. What is the hundredths digit of p? (1) The thousandths digit of p is 3.(2)The sum of the hundredths and the thousandths digits of p is 5 a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When rounded to the nearest hundredths digit, the number p becomes 6.72. What is the hundredths digit of p? (1) The thousandths digit of p is 3.(2)The sum of the hundredths and the thousandths digits of p is 5 a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer?.

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