The function Ro rounds a positive decimal number to its nearest integer starting from its rightmost digit. What is the value of Ro(64.4ab5), where a and b are single digit positive integers?(1) Ro(36.4a7) = 37(2) Ro(87.b6) = 88a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer?

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The function Ro rounds a positive decimal number to its nearest integer starting from its rightmost digit. What is the value of Ro(64.4ab5), where a and b are single digit positive integers?

(1) Ro(36.4a7) = 37

(2) Ro(87.b6) = 88

a)
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
b)
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
c)
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
d)
EACH statement ALONE is sufficient to answer the question asked.
e)
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

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

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The function Ro rounds a positive decimal number to its nearest intege...

Steps 1 & 2: Understand Question and Draw Inferences

Function Ro rounds a positive decimal number to its nearest integer starting from its rightmost digit
a and b are single digit positive integers
0 < a, b < 10

To Find: value of Ro(64.4ab5)

As the function Ro rounds off the number starting from its rightmost digit, in the first step Ro(64.4ab5) = Ro(64.4a(b+1)). This is because the last digit is 5 and hence 64. 4ab5 will be rounded up to 64.4a(b+1).
Now, the final value of Ro(64.4a(b+1)) = 64 or 65. Let’s evaluate the possible cases:
- Ro(64.4a(b+1)) = 64. This will be possible when Ro(64.4a) = Ro(64.4). So, for all the cases where a < 4, Ro(64. 4a) = Ro(64.4) = 64. Please note that if a < 4, the value of b is immaterial, because even if b ≥ 5, the maximum value of a = 4, in which case Ro(64.4a) = Ro(64.4) = 64
Ro64.4a(b+1)) = 65. This will be possible if Ro(64.4a) = Ro(64.5). This can happen in following ways:
- If a ≥ 5 and b is any value OR
- a =4 and b=>4, then Ro(64.4a(b+1)) = Ro(64.4(a+1)) = Ro(64.45) = Ro(64.5) = 65

Step 3: Analyze Statement 1 independently

(1)Ro(36.4a7) = 37

Since the function Ro rounds off starting from the rightmost digit, the first digit that will be rounded off will be a. The rounding of a will depend on the value to the right of it, i.e. 7. So, we have Ro(36.4a7) = Ro(36.4(a+1))
For Ro(36.4(a+1)) = 37, Ro(36.4(a+1)) = Ro(36.5), i.e. 4 should be rounded up to 5. This will be possible when a+1 ≥ 5, i.e. a ≥ 4

If a = 4, we need to know the value of b to find the value of Ro(64.4a(b+1))

If a > 4, Ro(64.4a(b+1)) = 65

As we do not have a unique answer, the statement is insufficient to answer.

Step 4: Analyze Statement 2 independently

(2) Ro(87.b6) = 88

Since the function Ro rounds off starting from the rightmost digit, the first digit that will be rounded off will be b. The rounding of b will depend on the value to the right of it, i.e. 6. So, we have Ro(87.b6) = Ro(87.(b+1)) = 88
So, b+1 ≥ 5, i.e. b ≥ 4
Using the value of b in Ro(64.4a(b+1)) = Ro(64. 4(a+1))

Need to know the value of a. Insufficient to answer

Step 5: Analyze Both Statements Together (if needed)

(1) From Statement 1, a ≥ 4

(2) From Statement 2, b ≥ 4

Ro(64.4ab5) = Ro(64.4a(b+1))
As b ≥ 4, b +1 ≥5. So, Ro(64.4a(b+1)) = Ro(64.4(a+1))
Since a ≥ 4, a +1 ≥5. So, Ro(64.4(a+1)) = Ro(64.5) = 65

Sufficient to answer.

Answer: C

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The function Ro rounds a positive decimal number to its nearest integer starting from its rightmost digit. What is the value of Ro(64.4ab5), where a and b are single digit positive integers?(1) Ro(36.4a7) = 37(2) Ro(87.b6) = 88a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer?

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The function Ro rounds a positive decimal number to its nearest integer starting from its rightmost digit. What is the value of Ro(64.4ab5), where a and b are single digit positive integers?(1) Ro(36.4a7) = 37(2) Ro(87.b6) = 88a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. 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 The function Ro rounds a positive decimal number to its nearest integer starting from its rightmost digit. What is the value of Ro(64.4ab5), where a and b are single digit positive integers?(1) Ro(36.4a7) = 37(2) Ro(87.b6) = 88a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The function Ro rounds a positive decimal number to its nearest integer starting from its rightmost digit. What is the value of Ro(64.4ab5), where a and b are single digit positive integers?(1) Ro(36.4a7) = 37(2) Ro(87.b6) = 88a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer?.

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