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Direction: Question given below consists of a statement and /or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/ are sufficient to answer the given question. Read both the statements and answer the question.
What is the value of a2 − b2 ?
I) a + b = 0
II) a + b = 2a
  • 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
  • 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 are needed
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Direction: Question given below consists of a statement and /or a que...
Given problem can be written as (a + b) × (a - b)
From statement 1:
If a + b = 0 then (a + b) × (a - b) = 0 [∵ 0 × (a - b) = 0]
From statement 2:
If a + b = 2a then b = 2a - a
⇒ b = a
Then (a + b) × (a - b) = 0 [∵ (a + b) × (a - a) = (a + b) × 0 = 0]
It can be seen that both the statement individually is sufficient to provide the answer for the given expression.
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Direction: Question given below consists of a statement and /or a que...
Statement (1): a = b = 0
Statement (2): a + b = 2a

To find the value of a² - b², we need to determine the values of both a and b.

Statement (1) alone:
From statement (1), we are given that a = b = 0.
Using these values, we can find the value of a² - b².

a² - b² = 0² - 0² = 0 - 0 = 0

So, statement (1) alone is sufficient to answer the question.

Statement (2) alone:
From statement (2), we are given that a + b = 2a.

However, this equation is not sufficient to find the individual values of a and b. We cannot determine their specific values or their relationship to each other.

For example, if a = 1 and b = 1, the equation is satisfied: 1 + 1 = 2(1).
But if a = 2 and b = 0, the equation is also satisfied: 2 + 0 = 2(2).

In both cases, the value of a² - b² would be different.

Therefore, statement (2) alone is not sufficient to answer the question.

Both statements (1) and (2) together:
From statement (1), we know that a = b = 0.

From statement (2), we know that a + b = 2a.
Substituting a = b = 0 into this equation, we get 0 + 0 = 2(0), which is true.

Since both statements provide the same information, we can conclude that a = b = 0.

Using these values, we can find the value of a² - b².

a² - b² = 0² - 0² = 0 - 0 = 0

Therefore, both statements together are sufficient to answer the question.

Conclusion:
Both statements (1) and (2) together are sufficient to answer the question. So, the correct answer is option (c) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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Direction: Question given below consists of a statement and /or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/ are sufficient to answer the given question. Read both the statements and answer the question.What is the value of a2 − b2 ?I) a + b = 0II) a + b = 2aa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer?
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Direction: Question given below consists of a statement and /or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/ are sufficient to answer the given question. Read both the statements and answer the question.What is the value of a2 − b2 ?I) a + b = 0II) a + b = 2aa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? for Banking Exams 2024 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Direction: Question given below consists of a statement and /or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/ are sufficient to answer the given question. Read both the statements and answer the question.What is the value of a2 − b2 ?I) a + b = 0II) a + b = 2aa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Banking Exams 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Question given below consists of a statement and /or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/ are sufficient to answer the given question. Read both the statements and answer the question.What is the value of a2 − b2 ?I) a + b = 0II) a + b = 2aa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Direction: Question given below consists of a statement and /or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/ are sufficient to answer the given question. Read both the statements and answer the question.What is the value of a2 − b2 ?I) a + b = 0II) a + b = 2aa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams. Download more important topics, notes, lectures and mock test series for Banking Exams Exam by signing up for free.
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