If a = 3.78xy7 and b = 1.37486, where x and y are positive digits, what is the value of a + b?(1) If a and b are rounded to nearest thousandths digit, then a + b = 5.162(2) If a and b are rounded to nearest ten-thousandths digit, then a + b = 5.1622a)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 'B'. Can you explain this answer?

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If a = 3.78xy7 and b = 1.37486, where x and y are positive digits, what is the value of a + b?

(1) If a and b are rounded to nearest thousandths digit, then a + b = 5.162

(2) If a and b are rounded to nearest ten-thousandths digit, then a + b = 5.1622

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 'B'. Can you explain this answer?

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If a = 3.78xy7 and b = 1.37486, where x and y are positive digits, wha...

Steps 1 & 2: Understand Question and Draw Inferences

We are given that:

a = 3.78xy7 (Here, x and y are positive digits)

b = 1.37486

We have to find the value of a + b.

Now, to find the sum of a and b, first we need to find the values of x and y so that we can determine the value of a. Since we already have the value of b, we can then add both of them and find a + b.

So, the question here is what is the value of a?

Step 3: Analyze Statement 1

Statement 1 says: If a and b are rounded to nearest thousandths digit, then a + b = 5.162

So, we know that:

(Rounded value of a to nearest thousandths place) + (Rounded value of b to nearest thousandths place) = 5.162 ……………… (1)

Now, we can’t find the rounded value of a, but we can find the rounded value of b to nearest thousandths place.

Now, let’s round b to the nearest thousandths:

Marking the digit at the thousandths place: 1.37486
Since the digit on 4’s right is 8 (and therefore, greater than 5), we will add 1 to 4.
Therefore, 1.37486 may be rounded to 1.375

By putting the rounded value of b in equation (1):

(Rounded value of a to nearest thousandths place) + 1.375 = 5.162

(Rounded value of a to nearest thousandths place) = 5.162 – 1.375 = 3.787

So, the rounded value of 3.78xy7 to the nearest thousandths place = 3.787

This means,

If y ≥ 5, then x = 6

If y < 5, then x = 7

Thus, we are not able to determine a unique value of x and y each.

Hence, statement 1 is not sufficient to answer the question: What is the value of a?

Step 4: Analyze Statement 2

Statement 2 says: If a and b are rounded to nearest ten-thousandths digit, then a + b = 5.1622

(Rounded value of a to nearest ten-thousandths place) + (Rounded value of b to nearest ten-thousandths place) = 5.1622 ……………… (2)

Let’s round b to the nearest ten-thousandths:

Marking the digit at the thousandths place: 1.37486
Since the digit on 8’s right is 6 (and therefore, greater than 5), we will add 1 to 8.
Therefore, 1.37486 may be rounded to 1.3749

By putting the rounded value of b in equation (2):

(Rounded value of a to nearest ten-thousandths place) + 1.3749 = 5.1622

(Rounded value of a to nearest ten-thousandths place) = 5.1622 – 1.3749 = 3.7873

So, the rounded value of 3.78xy7 to the nearest ten-thousandths place = 3.7873

Now, let’s round a to the nearest ten-thousandths:

Marking the digit at the thousandths place: 3.78xy7
Since the digit on y’s right is 7, we will add 1 to y.
Now, when we add 1 to y, a becomes 3.7873
This implies that y + 1 = 3.

So, the value of y = 2.

Thus, a = 3.78x27

Also, by comparing 3.7873 to 3.78x27 we get to know that the value of x is 7.

Thus, we know that the value of a is 3.78727.

So, statement 2 alone is sufficient to answer the question: What is the value of a?

Step 5: Analyze Both Statements Together (if needed)

Since statement 2 alone is sufficient to answer the question, we don’t need to perform this step.

Answer: Option (B)

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If a = 3.78xy7 and b = 1.37486, where x and y are positive digits, what is the value of a + b?(1) If a and b are rounded to nearest thousandths digit, then a + b = 5.162(2) If a and b are rounded to nearest ten-thousandths digit, then a + b = 5.1622a)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 'B'. Can you explain this answer?

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If a = 3.78xy7 and b = 1.37486, where x and y are positive digits, what is the value of a + b?(1) If a and b are rounded to nearest thousandths digit, then a + b = 5.162(2) If a and b are rounded to nearest ten-thousandths digit, then a + b = 5.1622a)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 'B'. 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 If a = 3.78xy7 and b = 1.37486, where x and y are positive digits, what is the value of a + b?(1) If a and b are rounded to nearest thousandths digit, then a + b = 5.162(2) If a and b are rounded to nearest ten-thousandths digit, then a + b = 5.1622a)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 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a = 3.78xy7 and b = 1.37486, where x and y are positive digits, what is the value of a + b?(1) If a and b are rounded to nearest thousandths digit, then a + b = 5.162(2) If a and b are rounded to nearest ten-thousandths digit, then a + b = 5.1622a)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 'B'. Can you explain this answer?.

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