The function {x} is defined as the lowest odd integer greater than x. What is the value of {x}?(1) -3.1 x -2.5(2) x2 9a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer?

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The function {x} is defined as the lowest odd integer greater than x. What is the value of {x}?

(1) -3.1 < x < -2.5

(2) x² < 9

a)
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
b)
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
c)
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
d)
EACH statement ALONE is sufficient.
e)
Statements (1) and (2) TOGETHER are NOT sufficient.

Correct answer is option 'C'. Can you explain this answer?

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The function {x} is defined as the lowest odd integer greater than x. ...

Steps 1 & 2: Understand Question and Draw Inferences

Let’s understand the meaning of {x}. If x = 2, then the odd integers greater than 2 are 3, 5, etc. The lowest among them is 3. Therefore {2} = 3.

Step 3: Analyze Statement 1

If x is between -3.1 and -3, then {x} = -3. If x is between -3 and -2.5, then {x} = -1.

INSUFFICIENT.

Step 4: Analyze Statement 2

x² < 9 only for values of x between -3 and 3.

If x = is between -3 and – 1, {x} = -1, if x is between -1 and 1, {x} = 1 and if x is between 1 and 3, {x} = 3.

Therefore, {x} can be -1, 1 or 3.

INSUFFICIENT.

Step 5: Analyze Both Statements Together (if needed)

When we combine statements (1) and (2),

We know that

-3.1 < x < -2.5

AND

-3 < x < 3

The common solution is: -3 < x < -2.5

For this set of values, {x} = -1.

SUFFICIENT.

Answer: Option (C)

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The function {x} is defined as the lowest odd integer greater than x. What is the value of {x}?(1) -3.1 < x < -2.5(2) x2 < 9a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer?

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