If a, b and c are positive integers, what is the average (arithmetic mean) of a and c?1. The average of a + b and 4 is 62. The average of a + c and b is 18a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'E'. Can you explain this answer?

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If a, b and c are positive integers, what is the average (arithmetic mean) of a and c?
1. The average of a + b and 4 is 6
2. The average of a + c and b is 18

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 'E'. Can you explain this answer?

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If a, b and c are positive integers, what is the average (arithmetic m...

Step 1 & 2: Understand Question and Draw Inference

Given: Integers a, b, c > 0
To find: (a+c) /2

Step 3 : Analyze Statement 1 independent

Statement 1 says that ‘The average of a + b and 4 is 6’

This equation doesn’t indicate to us the value of a + c
So, Statement 1 is not sufficient to answer the question

Step 4 : Analyze Statement 2 independent

Statement 2 says that ‘The average of a + c and b is 18’

We need to find the value of a + c. However, the above equation gives us the value of a + b + c
- Multiple values of a + c will satisfy this equation
  - For example, a + c = 35 and b = 1 or a + c = 34 and b = 2 etc.
Therefore, Statement 2 alone is not sufficient to answer the question

Step 5: Analyze Both Statements Together (if needed)

From Statement 1: a + b = 8
From Statement 2: a + b + c = 36
Combining the 2 statements: c = 36 – 8 = 28
However, we do not yet know the value of a
So, we are still unable to find the value of a + c
So, even the 2 statements together are not sufficient to answer the question

Answer: Option E

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Most Upvoted Answer

If a, b and c are positive integers, what is the average (arithmetic m...

Explanation:
We need to find the average of a and c which is (a + c)/2.

Statement 1:
The average of a, b and 4 is 6.
We can write this as (a + b + 4)/3 = 6.
Simplifying, we get a + b = 14.
We do not have any information about c, so we cannot find the average of a and c using this statement alone.

Statement 2:
The average of a, b and c is 18.
We can write this as (a + b + c)/3 = 18.
We do not have any information about the relationship between a and c, so we cannot find the average of a and c using this statement alone.

Statements 1 and 2:
From statement 1, we know that a + b = 14.
From statement 2, we know that a + b + c = 54.
Substituting the value of a + b from statement 1 in the equation from statement 2, we get c = 40.
Now we can find the average of a and c as (a + c)/2 = (a + 40)/2.
We do not have any information about the value of a, so we cannot find the average of a and c using statements 1 and 2 together.

Therefore, the answer is option E - Statements 1 and 2 together are not sufficient to answer the question asked, and additional data specific to the problem are needed.

Answered by Talent Skill Learning · View profile

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If a, b and c are positive integers, what is the average (arithmetic mean) of a and c?1. The average of a + b and 4 is 62. The average of a + c and b is 18a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'E'. Can you explain this answer?

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If a, b and c are positive integers, what is the average (arithmetic mean) of a and c?1. The average of a + b and 4 is 62. The average of a + c and b is 18a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.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 If a, b and c are positive integers, what is the average (arithmetic mean) of a and c?1. The average of a + b and 4 is 62. The average of a + c and b is 18a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.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 If a, b and c are positive integers, what is the average (arithmetic mean) of a and c?1. The average of a + b and 4 is 62. The average of a + c and b is 18a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'E'. Can you explain this answer?.

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