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The problem consists of a question followed by 2 statements. Decide whether the data in the statements are sufficient to the answer the question. Choose the option accordingly.
Is 'a' odd?
I. b and c are odd and abc + bc is even
II. b is odd and abc is even.
- a)Statement I alone is sufficient, but Statement II alone is not sufficient to answer the question.
- b)Statement II alone is sufficient, but Statement I alone is not sufficient to answer the question.
- c)Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
- d)Either statement alone is sufficient.
- e)Both statements together are not sufficient to answer the question.
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The problem consists of a question followed by 2 statements. Decide w...
We know,
odd X odd = odd; even X odd = even; even X even = even
odd ± odd = even; odd ± even = odd; even ± even = even
Statement I:
b and c are odd. ∴ bc is odd
abc + bc is even
∴ abc must be odd.
bc is odd, ∴ a must also be odd.
Statement II:
b is odd. abc is even.
∴ ac is even.
It could be that a is even, c is odd or a is odd, c is even or both even.
∴ Statement I alone is sufficient, but Statement II alone is not sufficient to answer the question.
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The problem consists of a question followed by 2 statements. Decide w...
Problem:
Is 'a' odd?
Statement I:
b and c are odd and abc bc is even.
Statement II:
b is odd and abc is even.
Solution:
To determine whether 'a' is odd, we need to know whether the product of 'a', 'b' and 'c' is odd or even.
Statement I:
abc bc is even.
We can rewrite abc bc as (ab)c bc. Since both 'b' and 'c' are odd, (ab) must be even to make the whole expression even. Therefore, 'a' must be even. However, we cannot determine whether 'a' is odd or even from this statement alone.
Statement II:
abc is even.
If 'abc' is even, then either 'a' or 'b' or 'c' must be even. Since 'b' is odd, it cannot be even. Therefore, either 'a' or 'c' must be even. We cannot determine whether 'a' is odd or even from this statement alone.
Combining both statements:
From Statement I, we know that 'a' is even. From Statement II, we know that 'abc' is even and 'b' is odd. Therefore, either 'a' or 'c' must be even. Since 'a' is even, it cannot be odd. Therefore, 'a' must be even. Hence, both statements together are sufficient to answer the question.
Answer:
Option A. Statement I alone is sufficient, but Statement II alone is not sufficient to answer the question.
Is 'a' odd?
Statement I:
b and c are odd and abc bc is even.
Statement II:
b is odd and abc is even.
Solution:
To determine whether 'a' is odd, we need to know whether the product of 'a', 'b' and 'c' is odd or even.
Statement I:
abc bc is even.
We can rewrite abc bc as (ab)c bc. Since both 'b' and 'c' are odd, (ab) must be even to make the whole expression even. Therefore, 'a' must be even. However, we cannot determine whether 'a' is odd or even from this statement alone.
Statement II:
abc is even.
If 'abc' is even, then either 'a' or 'b' or 'c' must be even. Since 'b' is odd, it cannot be even. Therefore, either 'a' or 'c' must be even. We cannot determine whether 'a' is odd or even from this statement alone.
Combining both statements:
From Statement I, we know that 'a' is even. From Statement II, we know that 'abc' is even and 'b' is odd. Therefore, either 'a' or 'c' must be even. Since 'a' is even, it cannot be odd. Therefore, 'a' must be even. Hence, both statements together are sufficient to answer the question.
Answer:
Option A. Statement I alone is sufficient, but Statement II alone is not sufficient to answer the question.
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The problem consists of a question followed by 2 statements. Decide whether the data in the statements are sufficient to the answer the question. Choose the option accordingly.Is 'a' odd?I. b and c are odd and abc + bc is evenII. b is odd and abc is even.a)Statement I alone is sufficient, but Statement II alone is not sufficient to answer the question.b)Statement II alone is sufficient, but Statement I alone is not sufficient to answer the question.c)Both statements taken together are sufficient to answer the question, but neither statement alone is sufficientd)Either statement alone is sufficient.e)Both statements together are not sufficient to answer the question.Correct answer is option 'A'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The problem consists of a question followed by 2 statements. Decide whether the data in the statements are sufficient to the answer the question. Choose the option accordingly.Is 'a' odd?I. b and c are odd and abc + bc is evenII. b is odd and abc is even.a)Statement I alone is sufficient, but Statement II alone is not sufficient to answer the question.b)Statement II alone is sufficient, but Statement I alone is not sufficient to answer the question.c)Both statements taken together are sufficient to answer the question, but neither statement alone is sufficientd)Either statement alone is sufficient.e)Both statements together are not sufficient to answer the question.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The problem consists of a question followed by 2 statements. Decide whether the data in the statements are sufficient to the answer the question. Choose the option accordingly.Is 'a' odd?I. b and c are odd and abc + bc is evenII. b is odd and abc is even.a)Statement I alone is sufficient, but Statement II alone is not sufficient to answer the question.b)Statement II alone is sufficient, but Statement I alone is not sufficient to answer the question.c)Both statements taken together are sufficient to answer the question, but neither statement alone is sufficientd)Either statement alone is sufficient.e)Both statements together are not sufficient to answer the question.Correct answer is option 'A'. Can you explain this answer?.
The problem consists of a question followed by 2 statements. Decide whether the data in the statements are sufficient to the answer the question. Choose the option accordingly.Is 'a' odd?I. b and c are odd and abc + bc is evenII. b is odd and abc is even.a)Statement I alone is sufficient, but Statement II alone is not sufficient to answer the question.b)Statement II alone is sufficient, but Statement I alone is not sufficient to answer the question.c)Both statements taken together are sufficient to answer the question, but neither statement alone is sufficientd)Either statement alone is sufficient.e)Both statements together are not sufficient to answer the question.Correct answer is option 'A'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The problem consists of a question followed by 2 statements. Decide whether the data in the statements are sufficient to the answer the question. Choose the option accordingly.Is 'a' odd?I. b and c are odd and abc + bc is evenII. b is odd and abc is even.a)Statement I alone is sufficient, but Statement II alone is not sufficient to answer the question.b)Statement II alone is sufficient, but Statement I alone is not sufficient to answer the question.c)Both statements taken together are sufficient to answer the question, but neither statement alone is sufficientd)Either statement alone is sufficient.e)Both statements together are not sufficient to answer the question.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The problem consists of a question followed by 2 statements. Decide whether the data in the statements are sufficient to the answer the question. Choose the option accordingly.Is 'a' odd?I. b and c are odd and abc + bc is evenII. b is odd and abc is even.a)Statement I alone is sufficient, but Statement II alone is not sufficient to answer the question.b)Statement II alone is sufficient, but Statement I alone is not sufficient to answer the question.c)Both statements taken together are sufficient to answer the question, but neither statement alone is sufficientd)Either statement alone is sufficient.e)Both statements together are not sufficient to answer the question.Correct answer is option 'A'. Can you explain this answer?.
Solutions for The problem consists of a question followed by 2 statements. Decide whether the data in the statements are sufficient to the answer the question. Choose the option accordingly.Is 'a' odd?I. b and c are odd and abc + bc is evenII. b is odd and abc is even.a)Statement I alone is sufficient, but Statement II alone is not sufficient to answer the question.b)Statement II alone is sufficient, but Statement I alone is not sufficient to answer the question.c)Both statements taken together are sufficient to answer the question, but neither statement alone is sufficientd)Either statement alone is sufficient.e)Both statements together are not sufficient to answer the question.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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