What is the value of the positive integer n? Statement I: n + 8 = 15 Statement II: 3n = 21… — State PSC Exam

What is the value of the positive integer $n$ ?

Statement I: $n + 8 = 15$
Statement II: $3n = 21$

Which of the following options correctly describes the sufficiency of the statements to answer the question?

A
Statement I alone is sufficient to answer the question, but Statement II alone is not sufficient.
B
Statement II alone is sufficient to answer the question, but Statement I alone is not sufficient.
Either Statement I alone or Statement II alone is sufficient to answer the question.Cevap
D
Neither Statement I nor Statement II alone is sufficient, but both statements together are sufficient to answer the question.
E
Neither Statement I nor Statement II, even when taken together, is sufficient to answer the question.

Either Statement I alone or Statement II alone is sufficient to answer the question.

Evaluating Statement I alone gives

n = 15 - 8 = 7

, which uniquely determines

n

. Evaluating Statement II alone gives

n = \frac{21}{3} = 7

, which also uniquely determines

n

. Since each statement independently provides a unique answer, either statement alone is sufficient.

Evaluate Statement I independently

From

n + 8 = 15

, subtracting

8

from both sides gives

n = 7

This yields a unique value for

n

, so Statement I alone is sufficient.

Evaluate Statement II independently

From

3n = 21

, dividing both sides by

3

gives

n = 7

This also yields a unique value for

n

, so Statement II alone is sufficient.

Determine overall sufficiency choice

Since both Statement I alone and Statement II alone yield the exact unique answer, either statement alone is sufficient.

This matches the standard option where either statement independently suffices.

Single-Variable Linear Data Sufficiency

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