A bag contains red balls that weigh 100 grams each and green balls that weigh 50 grams each. If the number of green balls is 9 more than the number of red balls, how many balls are there in the bag?(1) If two red balls are added to the bag, the number of red balls will be half the number of green balls(2) The total weight of the balls in the bag is between 1.05 kilogram and 1.35 kilograma)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 'D'. Can you explain this answer?

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A bag contains red balls that weigh 100 grams each and green balls that weigh 50 grams each. If the number of green balls is 9 more than the number of red balls, how many balls are there in the bag?

(1) If two red balls are added to the bag, the number of red balls will be half the number of green balls

(2) The total weight of the balls in the bag is between 1.05 kilogram and 1.35 kilogram

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 'D'. Can you explain this answer?

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A bag contains red balls that weigh 100 grams each and green balls tha...

Steps 1 & 2: Understand Question and Draw Inferences

Let the number of red balls be R and the number of green balls be G.

Note that R and G must be non-negative integers, since these denote the number of balls.

Given: G = R + 9 . . . (I)

And, weight of each Green ball = 50 grams

Weight of each Red ball = 100 grams

Need to find: G + R

Step 3: Analyze Statement 1 independently

Statement 1 says that if two red balls are added to the bag, the number of red balls will be half the number of green balls

R+2=G/2

2R + 4 = G . . . (II)

Equations (I) and (II) form 2 linear equations with 2 unknowns. Sufficient to find R and G.

Step 4: Analyze Statement 2 independently

The total weight of the balls in the bag is between 1.05 kilogram and 1.35 kilogram

1.05 kg = 1050 grams

1.350 kg = 1350 grams

Statement 2 says that

1050< 100R + 50G < 1350

105 <10R+5G < 135

21 < 2R + G < 27

Using (I)

21 < 3R + 9 < 27

7 < R + 3 < 9

4 < R < 6

R = 5 (since R must be an integer)
G = 14 (from Eq. I)

Sufficient.

Step 5: Analyze Both Statements Together (if needed)

Since we arrive at a unique answer in each of Steps 3 and 4, this step is not required

Answer: D

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Most Upvoted Answer

A bag contains red balls that weigh 100 grams each and green balls tha...

Understanding the Problem
In the bag, we have two types of balls:
- Red balls weighing 100 grams each
- Green balls weighing 50 grams each
Let’s denote:
- r = number of red balls
- g = number of green balls
According to the problem, g = r + 9.
Analyzing Statement (1)
- If two red balls are added, the number of red balls becomes (r + 2).
- The statement claims that (r + 2) = 0.5g.
Substituting g from the previous equation:
- (r + 2) = 0.5(r + 9)
This can be solved to find a specific value for r, and consequently, g.
Analyzing Statement (2)
- The total weight of the balls is between 1.05 kg (1050 grams) and 1.35 kg (1350 grams).
The total weight can be expressed as:
- Total Weight = 100r + 50g
Substituting g gives:
- Total Weight = 100r + 50(r + 9) = 150r + 450 grams.
Setting up inequalities based on the weight range:
- 1050 < 150r="" +="" 450="" />< />
This can provide a range for r, and subsequently g.
Conclusion
- Statement (1) alone is sufficient to determine the exact number of balls.
- Statement (2) alone also provides a range for r but does not give exact values, thus it is insufficient by itself.
Therefore, both statements contribute to determining the total number of balls in the bag, making each statement independently sufficient.
Final Answer
The correct answer is option 'D': Each statement alone is sufficient to answer the question asked.

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A bag contains red balls that weigh 100 grams each and green balls that weigh 50 grams each. If the number of green balls is 9 more than the number of red balls, how many balls are there in the bag?(1) If two red balls are added to the bag, the number of red balls will be half the number of green balls(2) The total weight of the balls in the bag is between 1.05 kilogram and 1.35 kilograma)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 'D'. Can you explain this answer?

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A bag contains red balls that weigh 100 grams each and green balls that weigh 50 grams each. If the number of green balls is 9 more than the number of red balls, how many balls are there in the bag?(1) If two red balls are added to the bag, the number of red balls will be half the number of green balls(2) The total weight of the balls in the bag is between 1.05 kilogram and 1.35 kilograma)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 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A bag contains red balls that weigh 100 grams each and green balls that weigh 50 grams each. If the number of green balls is 9 more than the number of red balls, how many balls are there in the bag?(1) If two red balls are added to the bag, the number of red balls will be half the number of green balls(2) The total weight of the balls in the bag is between 1.05 kilogram and 1.35 kilograma)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 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains red balls that weigh 100 grams each and green balls that weigh 50 grams each. If the number of green balls is 9 more than the number of red balls, how many balls are there in the bag?(1) If two red balls are added to the bag, the number of red balls will be half the number of green balls(2) The total weight of the balls in the bag is between 1.05 kilogram and 1.35 kilograma)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 'D'. Can you explain this answer?.

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If the number of green balls is 9 more than the number of red balls, how many balls are there in the bag?(1) If two red balls are added to the bag, the number of red balls will be half the number of green balls(2) The total weight of the balls in the bag is between 1.05 kilogram and 1.35 kilograma)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 'D'. 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If the number of green balls is 9 more than the number of red balls, how many balls are there in the bag?(1) If two red balls are added to the bag, the number of red balls will be half the number of green balls(2) The total weight of the balls in the bag is between 1.05 kilogram and 1.35 kilograma)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 'D'. 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If the number of green balls is 9 more than the number of red balls, how many balls are there in the bag?(1) If two red balls are added to the bag, the number of red balls will be half the number of green balls(2) The total weight of the balls in the bag is between 1.05 kilogram and 1.35 kilograma)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 'D'. Can you explain this answer? tests, examples and also practice GMAT tests.

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