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The function SCI is defined as SCI(x, y) = z, where z is the sum of y consecutive positive integers starting from positive integer x. If a and n are positive integers, is SCI(a,n) divisible by n?
(1) 3n +2a is not divisible by 2
(2) 3a +2n is divisible by 2
- 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 'A'. Can you explain this answer?
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The function SCI is defined as SCI(x, y) = z, where z is the sum of y ...
Steps 1 & 2: Understand Question and Draw Inferences
- SCI(x, y) = z, where z = x+ x+1 +x+2…….x+y-1 and x, y, z are integers > 0
- a, n are integers > 0
To Find: Is SCI(a, n) = nb, where quotient b is an integer?
- SCI(a, n) = a+ a+1….a+n -1
- The terms a, a + 1, a + 2…. a + n -1 are in arithmetic sequence with common difference = 1
- SCI(a, n) = Sum of an arithmetic sequence =
- For SCI
to be divisible by n, 
should be an integer. - That is
should be an integer - That is,
should be an integer, i.e. n -1 should be divisible by 2.
- That is
- For n -1 to be divisible by 2, n-1 = even, i.e. n = odd.
- Thus, if n is odd SCI(a, n) is divisible by n, else it is not. Hence, we need to find the even-odd nature of n.Step 3: Analyze Statement 1 independently(1) 3n +2a is not divisible by 2
- As 3n + 2a is not divisible by 2, 3n + 2a is odd
- 3n +2a = odd
- 3n + even = odd
- 3n = odd
- n = odd
- Since we know the even-odd nature of n, the statement is sufficient to answer.Step 4: Analyze Statement 2 independently(2) 3a +2n is divisible by 2
- As 3a + 2n is divisible by 2, 3a + 2n is even
- 3a + 2n = even
- 3a + even = even
- 3a = even
- Does not tell us anything about the even-odd nature of n.Insufficient to answer.Step 5: Analyze Both Statements Together (if needed)As we have a unique answer from step-3, this step is not required.Answer: A
Most Upvoted Answer
The function SCI is defined as SCI(x, y) = z, where z is the sum of y ...
Statement (1): 3n - 2a is not divisible by 2
- This means that 3n - 2a is an odd number, as it is not divisible by 2.
- We can rewrite 3n - 2a as 2n + n - 2a, where 2n is divisible by 2 and n - 2a is an odd number.
- Therefore, 2n + n - 2a can be written as an even number + an odd number, which is always an odd number.
- Since SCI(a, n) is the sum of y consecutive positive integers starting from a, it will be an odd number if y is odd and an even number if y is even.
- Therefore, SCI(a, n) cannot be divisible by n if y is odd.
- This statement alone is sufficient to determine that SCI(a, n) is not divisible by n.
Statement (2): 3a + 2n is divisible by 2
- This means that 3a + 2n is an even number, as it is divisible by 2.
- We can rewrite 3a + 2n as 2a + a + 2n, where 2a is divisible by 2 and a + 2n is an even number.
- Therefore, 2a + a + 2n can be written as an even number + an even number, which is always an even number.
- Since SCI(a, n) is the sum of y consecutive positive integers starting from a, it will be an odd number if y is odd and an even number if y is even.
- Therefore, SCI(a, n) can be divisible by n if y is even.
- This statement alone is sufficient to determine that SCI(a, n) is divisible by n when y is even.
Combined Statements:
- From statement (1), we know that SCI(a, n) is not divisible by n if y is odd.
- From statement (2), we know that SCI(a, n) is divisible by n if y is even.
- Therefore, when we combine the statements, we have sufficient information to determine whether SCI(a, n) is divisible by n for any value of y.
- The answer is option (A) - Statement (1) alone is sufficient, but statement (2) alone is not sufficient to answer the question.
- This means that 3n - 2a is an odd number, as it is not divisible by 2.
- We can rewrite 3n - 2a as 2n + n - 2a, where 2n is divisible by 2 and n - 2a is an odd number.
- Therefore, 2n + n - 2a can be written as an even number + an odd number, which is always an odd number.
- Since SCI(a, n) is the sum of y consecutive positive integers starting from a, it will be an odd number if y is odd and an even number if y is even.
- Therefore, SCI(a, n) cannot be divisible by n if y is odd.
- This statement alone is sufficient to determine that SCI(a, n) is not divisible by n.
Statement (2): 3a + 2n is divisible by 2
- This means that 3a + 2n is an even number, as it is divisible by 2.
- We can rewrite 3a + 2n as 2a + a + 2n, where 2a is divisible by 2 and a + 2n is an even number.
- Therefore, 2a + a + 2n can be written as an even number + an even number, which is always an even number.
- Since SCI(a, n) is the sum of y consecutive positive integers starting from a, it will be an odd number if y is odd and an even number if y is even.
- Therefore, SCI(a, n) can be divisible by n if y is even.
- This statement alone is sufficient to determine that SCI(a, n) is divisible by n when y is even.
Combined Statements:
- From statement (1), we know that SCI(a, n) is not divisible by n if y is odd.
- From statement (2), we know that SCI(a, n) is divisible by n if y is even.
- Therefore, when we combine the statements, we have sufficient information to determine whether SCI(a, n) is divisible by n for any value of y.
- The answer is option (A) - Statement (1) alone is sufficient, but statement (2) alone is not sufficient to answer the question.
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The function SCI is defined as SCI(x, y) = z, where z is the sum of y consecutive positive integers starting from positive integer x. If a and n are positive integers, is SCI(a,n) divisible by n?(1) 3n +2a is not divisible by 2(2) 3a +2n is divisible by 2a)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 'A'. Can you explain this answer?
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The function SCI is defined as SCI(x, y) = z, where z is the sum of y consecutive positive integers starting from positive integer x. If a and n are positive integers, is SCI(a,n) divisible by n?(1) 3n +2a is not divisible by 2(2) 3a +2n is divisible by 2a)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 'A'. 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 function SCI is defined as SCI(x, y) = z, where z is the sum of y consecutive positive integers starting from positive integer x. If a and n are positive integers, is SCI(a,n) divisible by n?(1) 3n +2a is not divisible by 2(2) 3a +2n is divisible by 2a)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 'A'. 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 function SCI is defined as SCI(x, y) = z, where z is the sum of y consecutive positive integers starting from positive integer x. If a and n are positive integers, is SCI(a,n) divisible by n?(1) 3n +2a is not divisible by 2(2) 3a +2n is divisible by 2a)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 'A'. Can you explain this answer?.
The function SCI is defined as SCI(x, y) = z, where z is the sum of y consecutive positive integers starting from positive integer x. If a and n are positive integers, is SCI(a,n) divisible by n?(1) 3n +2a is not divisible by 2(2) 3a +2n is divisible by 2a)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 'A'. 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 function SCI is defined as SCI(x, y) = z, where z is the sum of y consecutive positive integers starting from positive integer x. If a and n are positive integers, is SCI(a,n) divisible by n?(1) 3n +2a is not divisible by 2(2) 3a +2n is divisible by 2a)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 'A'. 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 function SCI is defined as SCI(x, y) = z, where z is the sum of y consecutive positive integers starting from positive integer x. If a and n are positive integers, is SCI(a,n) divisible by n?(1) 3n +2a is not divisible by 2(2) 3a +2n is divisible by 2a)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 'A'. Can you explain this answer?.
Solutions for The function SCI is defined as SCI(x, y) = z, where z is the sum of y consecutive positive integers starting from positive integer x. If a and n are positive integers, is SCI(a,n) divisible by n?(1) 3n +2a is not divisible by 2(2) 3a +2n is divisible by 2a)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 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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Here you can find the meaning of The function SCI is defined as SCI(x, y) = z, where z is the sum of y consecutive positive integers starting from positive integer x. If a and n are positive integers, is SCI(a,n) divisible by n?(1) 3n +2a is not divisible by 2(2) 3a +2n is divisible by 2a)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 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The function SCI is defined as SCI(x, y) = z, where z is the sum of y consecutive positive integers starting from positive integer x. If a and n are positive integers, is SCI(a,n) divisible by n?(1) 3n +2a is not divisible by 2(2) 3a +2n is divisible by 2a)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 'A'. Can you explain this answer?, a detailed solution for The function SCI is defined as SCI(x, y) = z, where z is the sum of y consecutive positive integers starting from positive integer x. If a and n are positive integers, is SCI(a,n) divisible by n?(1) 3n +2a is not divisible by 2(2) 3a +2n is divisible by 2a)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 'A'. Can you explain this answer? has been provided alongside types of The function SCI is defined as SCI(x, y) = z, where z is the sum of y consecutive positive integers starting from positive integer x. If a and n are positive integers, is SCI(a,n) divisible by n?(1) 3n +2a is not divisible by 2(2) 3a +2n is divisible by 2a)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 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The function SCI is defined as SCI(x, y) = z, where z is the sum of y consecutive positive integers starting from positive integer x. If a and n are positive integers, is SCI(a,n) divisible by n?(1) 3n +2a is not divisible by 2(2) 3a +2n is divisible by 2a)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 'A'. Can you explain this answer? tests, examples and also practice GMAT tests.
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