There are two classrooms A and B. The sum of the number of students in both classrooms is more than 120. Is the number of students in class B greater than 20?(1) If number of students in classroom A are doubled and number of students in classroom B are halved, the difference between the number of students in classroom A and B is less than 200.(2) If 20 students from each classroom leave the school, the sum of number of students in both classes would be more than 80.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 'E'. Can you explain this answer?

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There are two classrooms A and B. The sum of the number of students in both classrooms is more than 120. Is the number of students in class B greater than 20?

(1) If number of students in classroom A are doubled and number of students in classroom B are halved, the difference between the number of students in classroom A and B is less than 200.

(2) If 20 students from each classroom leave the school, the sum of number of students in both classes would be more than 80.

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 'E'. Can you explain this answer?

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Test: Inequalities- 1

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There are two classrooms A and B. The sum of the number of students in...

Steps 1 & 2: Understand Question and Draw Inferences

We are given that the number of students in classes A and B combined is more than 120. We have to find whether the number of students in class B is more than 20.

Let’s say the number of students in class A is x, and the number of students in class B is y.

So, we can say that:

x+y>120

Since there is no other information given in the sentence, let’s move on to the analysis of the statement I.

Step 3: Analyze Statement 1

2x−y/2<200

4x−y<400 ................... (2)

By multiplying inequality (1) with -4, we get:

−4x−4y<−480 .....................(3)

Adding (2) and (3),

−5y<−80

By multiplying the above inequality with -1, we get:

5y>80y>16

So, y can take any value greater than 16. Thus, we can’t say whether it is greater than 20 or not.

Hence, statement I is not sufficient to answer the question: Is the number of students in class B is more than 20?

Step 4: Analyze Statement 2

Per statement II:

(x−20)+(y−20)>80

x+y>120

This is the same information given in the original sentence. So, from this information we can’t say whether y is greater than 20 or not.

Hence, statement II alone is insufficient to answer the question: Is the number of students in class B is more than 20?

Step 5: Analyze Both Statements Together (if needed)

Since statement I and II alone are not sufficient to answer the question, let’s analyse them together.

However, since statement II provides the same information given in the original sentence, analysing both the statements together is equivalent to analysing statement I alone.

Thus, even both statements combined are not sufficient to answer the question: Is the number of students in class B is more than 20?

Answer: Option (E)

The correct answer is: Statements (1) and (2) TOGETHER are NOT sufficient.

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There are two classrooms A and B. The sum of the number of students in...

Steps 1 & 2: Understand Question and Draw Inferences

We are given that the number of students in classes A and B combined is more than 120. We have to find whether the number of students in class B is more than 20.

Let’s say the number of students in class A is x, and the number of students in class B is y.

So, we can say that:

x+y>120

Since there is no other information given in the sentence, let’s move on to the analysis of the statement I.

Step 3: Analyze Statement 1

2x−y/2<200

4x−y<400 ................... (2)

By multiplying inequality (1) with -4, we get:

−4x−4y<−480 .....................(3)

Adding (2) and (3),

−5y<−80

By multiplying the above inequality with -1, we get:

5y>80y>16

So, y can take any value greater than 16. Thus, we can’t say whether it is greater than 20 or not.

Hence, statement I is not sufficient to answer the question: Is the number of students in class B is more than 20?

Step 4: Analyze Statement 2

Per statement II:

(x−20)+(y−20)>80

x+y>120

This is the same information given in the original sentence. So, from this information we can’t say whether y is greater than 20 or not.

Hence, statement II alone is insufficient to answer the question: Is the number of students in class B is more than 20?

Step 5: Analyze Both Statements Together (if needed)

Since statement I and II alone are not sufficient to answer the question, let’s analyse them together.

However, since statement II provides the same information given in the original sentence, analysing both the statements together is equivalent to analysing statement I alone.

Thus, even both statements combined are not sufficient to answer the question: Is the number of students in class B is more than 20?

Answer: Option (E)

The correct answer is: Statements (1) and (2) TOGETHER are NOT sufficient.

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There are two classrooms A and B. The sum of the number of students in...

Steps 1 & 2: Understand Question and Draw Inferences

We are given that the number of students in classes A and B combined is more than 120. We have to find whether the number of students in class B is more than 20.

Let’s say the number of students in class A is x, and the number of students in class B is y.

So, we can say that:

x+y>120

Since there is no other information given in the sentence, let’s move on to the analysis of the statement I.

Step 3: Analyze Statement 1

2x−y/2<200

4x−y<400 ................... (2)

By multiplying inequality (1) with -4, we get:

−4x−4y<−480 .....................(3)

Adding (2) and (3),

−5y<−80

By multiplying the above inequality with -1, we get:

5y>80y>16

So, y can take any value greater than 16. Thus, we can’t say whether it is greater than 20 or not.

Hence, statement I is not sufficient to answer the question: Is the number of students in class B is more than 20?

Step 4: Analyze Statement 2

Per statement II:

(x−20)+(y−20)>80

x+y>120

This is the same information given in the original sentence. So, from this information we can’t say whether y is greater than 20 or not.

Hence, statement II alone is insufficient to answer the question: Is the number of students in class B is more than 20?

Step 5: Analyze Both Statements Together (if needed)

Since statement I and II alone are not sufficient to answer the question, let’s analyse them together.

However, since statement II provides the same information given in the original sentence, analysing both the statements together is equivalent to analysing statement I alone.

Thus, even both statements combined are not sufficient to answer the question: Is the number of students in class B is more than 20?

Answer: Option (E)

The correct answer is: Statements (1) and (2) TOGETHER are NOT sufficient.

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There are two classrooms A and B. The sum of the number of students in both classrooms is more than 120. Is the number of students in class B greater than 20?(1) If number of students in classroom A are doubled and number of students in classroom B are halved, the difference between the number of students in classroom A and B is less than 200.(2) If 20 students from each classroom leave the school, the sum of number of students in both classes would be more than 80.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 'E'. Can you explain this answer?

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There are two classrooms A and B. The sum of the number of students in both classrooms is more than 120. Is the number of students in class B greater than 20?(1) If number of students in classroom A are doubled and number of students in classroom B are halved, the difference between the number of students in classroom A and B is less than 200.(2) If 20 students from each classroom leave the school, the sum of number of students in both classes would be more than 80.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 'E'. 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 There are two classrooms A and B. The sum of the number of students in both classrooms is more than 120. Is the number of students in class B greater than 20?(1) If number of students in classroom A are doubled and number of students in classroom B are halved, the difference between the number of students in classroom A and B is less than 200.(2) If 20 students from each classroom leave the school, the sum of number of students in both classes would be more than 80.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 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two classrooms A and B. The sum of the number of students in both classrooms is more than 120. Is the number of students in class B greater than 20?(1) If number of students in classroom A are doubled and number of students in classroom B are halved, the difference between the number of students in classroom A and B is less than 200.(2) If 20 students from each classroom leave the school, the sum of number of students in both classes would be more than 80.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 'E'. Can you explain this answer?.

Solutions for There are two classrooms A and B. The sum of the number of students in both classrooms is more than 120. Is the number of students in class B greater than 20?(1) If number of students in classroom A are doubled and number of students in classroom B are halved, the difference between the number of students in classroom A and B is less than 200.(2) If 20 students from each classroom leave the school, the sum of number of students in both classes would be more than 80.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 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.

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