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08 Sep 2023, 01:30
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Difficulty:
35%
(medium)
Question Stats:
55% (01:06) correct
45%
(01:21)
wrong
based on 53
sessions
History
Date
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Not Attempted Yet
What is the value of |a + b| ?
(1) |a| + |b| = 6
(2) a = 5b
(1) |a| + |b| = 6
(2) a = 5b
08 Sep 2023, 03:57
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Statement 1: |a| + |b| = 6
This statement tells us that the sum of the absolute values of a and b is equal to 6. However, it doesn't provide information about the individual values of a and b. Therefore, we cannot determine the value of |a + b| from this statement alone. Statement 1 is insufficient.
Statement 2: a = 5b
This statement gives us a relationship between the values of a and b. If we substitute a = 5b into |a + b|, we get |5b + b| = |6b|. However, this still doesn't provide us with the value of |a + b|, as it depends on the value of b. Statement 2 is also insufficient.
Now, let's combine both statements:
From Statement 1, we have |a| + |b| = 6.
From Statement 2, we have a = 5b.
Substituting the value of a from Statement 2 into Statement 1:
|5b| + |b| = 6
This simplifies to:
6|b| = 6
Now, we can solve for |b|:
|b| = 1
Since |b| = 1, we can calculate |a + b| using Statement 2 (a = 5b):
|a + b| = |5b + b| = |6b|
Now that we know |b| = 1, we can find:
|6b| = |6(1)| = 6
So, the value of |a + b| is 6.
Combining both statements allows us to determine the value of |a + b|, so together, the statements are sufficient to answer the question. The answer is (C) Both statements together are sufficient.
This statement tells us that the sum of the absolute values of a and b is equal to 6. However, it doesn't provide information about the individual values of a and b. Therefore, we cannot determine the value of |a + b| from this statement alone. Statement 1 is insufficient.
Statement 2: a = 5b
This statement gives us a relationship between the values of a and b. If we substitute a = 5b into |a + b|, we get |5b + b| = |6b|. However, this still doesn't provide us with the value of |a + b|, as it depends on the value of b. Statement 2 is also insufficient.
Now, let's combine both statements:
From Statement 1, we have |a| + |b| = 6.
From Statement 2, we have a = 5b.
Substituting the value of a from Statement 2 into Statement 1:
|5b| + |b| = 6
This simplifies to:
6|b| = 6
Now, we can solve for |b|:
|b| = 1
Since |b| = 1, we can calculate |a + b| using Statement 2 (a = 5b):
|a + b| = |5b + b| = |6b|
Now that we know |b| = 1, we can find:
|6b| = |6(1)| = 6
So, the value of |a + b| is 6.
Combining both statements allows us to determine the value of |a + b|, so together, the statements are sufficient to answer the question. The answer is (C) Both statements together are sufficient.
08 Sep 2023, 04:37
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Bunuel
Answer is C
Statement 1 is not sufficient
Statement 2 is not Sufficient
When 1+2, Then it will be sufficient
