The figure above shows a rectangle ABCD in the xy- coordinate plane. The sides AB and AD are parallel to the x- and the y- axis respectively. How many squares of side 1 unit that lie on or inside the rectangle ABCD can be drawn?(1) The length of side AB is 6 units(2) The coordinates of points A and C are (3,2) and (9, 5)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)OTH 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 'B'. Can you explain this answer?

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(1) The length of side AB is 6 units

(2) The coordinates of points A and C are (3,2) and (9, 5)

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)
OTH 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 'B'. Can you explain this answer?

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The figure above shows a rectangle ABCD in the xy- coordinate plane. T...

Steps 1 & 2: Understand Question and Draw Inferences

Given: Rectangle ABCD in which AB is parallel to the x-axis and AD is parallel to the y-axis

To find: Number of squares of side 1 unit that can be drawn inside or on the rectangle ABCD

To understand how to solve this question, let’s draw one square APQR, in which AP = PQ = 1 unit, in the rectangle ABCD:

Let’s find the Number of squares of side 1 unit that can be formed in the same row as square APQR (let’s call this number r):

If AB is an integer, then r =
If AB is not an integer, then r = the greatest integer less than
For example, say AB = 6.5
The number of squares of length 1 unit that can be formed in 1 row will be 6 in this example (because how do you draw 6.5 squares? You cannot.)
The figure below shows a sample illustration of how squares can be formed in the same row as square APQR. We can continue forming the squares in the same row till we reach side BC. The total number of squares in this row, as we saw above, will be AB

Similarly, we can find that the Number of squares that can be formed in the same column as square APQR (let’s call this number c) =

if AD is an integer

The greatest integer less than AD if AD is not an integer

(Total number of squares that can be formed in the rectangular region ABCD) = r*c

Since the values of r and c depend on AB and AD, we need to find the values of AB and AD, that is, the length and breadth of rectangle ABCD.

Step 3: Analyze Statement 1 independently

Statement 1 says that ‘The length of side AB is 6 units’

This statement doesn’t give us the measure of AD
Therefore, it is not sufficient to answer the question

Step 4: Analyze Statement 2 independently

Statement 2 says that ‘The coordinates of points A and C are (3,2) and (9, 5)’

Remember that AB (and therefore CD) is parallel to x- axis.
- Therefore, (y-coordinate of A) = (y-coordinate of B) = 2
- And, (y-coordinate of D) = (y-coordinate of C) = 5

Since AD (and therefore BC) is parallel to y – axis:
- (x-coordinate of A) = (x-coordinate of D) = 3
- And, (x-coordinate of B) = (x-coordinate of C) = 9

Therefore, the coordinates of all points of the rectangle can be represented visually as below:

So, AB = 9 – 3 = 6
And, AD = 5 – 2 = 3
Since we now know the values of AB and AD, we can calculate r and c, and hence can get to the answer
So, Statement 2 alone is sufficient to answer the question

Step 5: Analyze Both Statements Together (if needed)

Since we’ve already arrived at a unique answer in Step 4, this step is not required

Answer: Option B

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The figure above shows a rectangle ABCD in the xy- coordinate plane. The sides AB and AD are parallel to the x- and the y- axis respectively. How many squares of side 1 unit that lie on or inside the rectangle ABCD can be drawn?(1) The length of side AB is 6 units(2) The coordinates of points A and C are (3,2) and (9, 5)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)OTH 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 'B'. Can you explain this answer?

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The figure above shows a rectangle ABCD in the xy- coordinate plane. The sides AB and AD are parallel to the x- and the y- axis respectively. How many squares of side 1 unit that lie on or inside the rectangle ABCD can be drawn?(1) The length of side AB is 6 units(2) The coordinates of points A and C are (3,2) and (9, 5)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)OTH 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 '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 The figure above shows a rectangle ABCD in the xy- coordinate plane. The sides AB and AD are parallel to the x- and the y- axis respectively. How many squares of side 1 unit that lie on or inside the rectangle ABCD can be drawn?(1) The length of side AB is 6 units(2) The coordinates of points A and C are (3,2) and (9, 5)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)OTH 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 '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 The figure above shows a rectangle ABCD in the xy- coordinate plane. The sides AB and AD are parallel to the x- and the y- axis respectively. How many squares of side 1 unit that lie on or inside the rectangle ABCD can be drawn?(1) The length of side AB is 6 units(2) The coordinates of points A and C are (3,2) and (9, 5)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)OTH 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 'B'. Can you explain this answer?.

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