Question:
What is the value of 'x'?
I) $3x+5=14$
II) $2x+5y=11$
What is the value of 'x'?
I) $3x+5=14$
II) $2x+5y=11$
I) $3x+5=14$
II) $2x+5y=11$
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A single linear equation with one variable can always be solved for that variable.
Updated On: Jun 26, 2026
- Statement I alone is sufficient
- Statement II alone is sufficient
- Statements I and II together are sufficient
- Statements I and II together are not sufficient
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The Correct Option is A
Solution and Explanation
Step 1: Concept
Data sufficiency requires determining if the given statements provide enough information to find a unique value for 'x'.
Step 2: Analysis of Statement I
Equation: $3x + 5 = 14$.
$3x = 14 - 5 \Rightarrow 3x = 9 \Rightarrow x = 3$.
Statement I alone provides a unique value for 'x'.
Step 3: Analysis of Statement II
Equation: $2x + 5y = 11$.
This is a single linear equation with two variables ('x' and 'y'). Without additional information about 'y', a unique value for 'x' cannot be determined.
Step 4: Conclusion
Since Statement I alone is sufficient to answer the question, the correct choice is (1). Final Answer: (1)
Data sufficiency requires determining if the given statements provide enough information to find a unique value for 'x'.
Step 2: Analysis of Statement I
Equation: $3x + 5 = 14$.
$3x = 14 - 5 \Rightarrow 3x = 9 \Rightarrow x = 3$.
Statement I alone provides a unique value for 'x'.
Step 3: Analysis of Statement II
Equation: $2x + 5y = 11$.
This is a single linear equation with two variables ('x' and 'y'). Without additional information about 'y', a unique value for 'x' cannot be determined.
Step 4: Conclusion
Since Statement I alone is sufficient to answer the question, the correct choice is (1). Final Answer: (1)
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