Question:
What is the value of \(x + y + z\)?
I) \(x + y = 3\)
II) \(x + z = 2\)
What is the value of \(x + y + z\)?
I) \(x + y = 3\)
II) \(x + z = 2\)
I) \(x + y = 3\)
II) \(x + z = 2\)
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If a required expression has more variables than independent equations, it cannot be uniquely determined.
Updated On: Apr 21, 2026
- Statement I alone is sufficient to answer the question
- Statement II alone is sufficient to answer the question.
- Statement I and II together are sufficient to answer the question but neither statement alone is sufficient.
- Statement I and II together are not sufficient to answer the question and additional data is required.
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The Correct Option is D
Solution and Explanation
Concept:
To determine a sum involving multiple variables, we need enough independent equations to uniquely determine each variable or their total.
Step 1: Analyze Statement I alone.
\[ x + y = 3 \] No information about \(z\). Hence, \(x + y + z\) cannot be determined.
Statement I alone is NOT sufficient.
Step 2: Analyze Statement II alone.
\[ x + z = 2 \] No information about \(y\). Hence, \(x + y + z\) cannot be determined.
Statement II alone is NOT sufficient.
Step 3: Combine both statements.
\[ x + y = 3,\quad x + z = 2 \] Adding: \[ 2x + y + z = 5 \] Still, \(x\) is unknown, so \(x + y + z\) cannot be uniquely determined.
Hence, even both statements together are NOT sufficient.
Step 1: Analyze Statement I alone.
\[ x + y = 3 \] No information about \(z\). Hence, \(x + y + z\) cannot be determined.
Statement I alone is NOT sufficient.
Step 2: Analyze Statement II alone.
\[ x + z = 2 \] No information about \(y\). Hence, \(x + y + z\) cannot be determined.
Statement II alone is NOT sufficient.
Step 3: Combine both statements.
\[ x + y = 3,\quad x + z = 2 \] Adding: \[ 2x + y + z = 5 \] Still, \(x\) is unknown, so \(x + y + z\) cannot be uniquely determined.
Hence, even both statements together are NOT sufficient.
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II) Rahul's brother, who was born in 1964, is 35 years younger to his mother. - Who among P, Q, T, V and M is exactly in the middle when they are arranged in ascending order of their heights?
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