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English and Logical Reasoning Prep Guide
Exam
English and Logical Reasoning Prep Guide
Subject
Logical Reasoning
Chapter
Data Sufficiency

English and Logical Reasoning Prep Guide · Logical Reasoning · Data Sufficiency

Directions: Each of the following consists of a question and two...

Directions: Each of the following consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:
Six persons − P, Q, R, S, T and U, each earns a different amount of money. Who earns maximum?

Statement I:& R earns more than only two persons. Q earns more than P but not maximum. T earns more than only U.

Statement II:& P earns less than only two persons. T earns more than U but less than R. R earns less than P. Q earns less than S.

Options

  1. A
    If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
  2. B
    If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
  3. C
    If the data either in statement I alone or in statement II alone is sufficient to answer the question.
  4. D
    If the data in both statement I and II together are not sufficient to answer the question.

Correct answer

C.

If the data either in statement I alone or in statement II alone is sufficient to answer the question.

Step-by-step solution

We have,

Six persons − P, Q, R, S, T and U, each earns a different amount of money. Who earns maximum?

Statement I: R earns more than only two persons. Q earns more than P but not maximum. T earns more than only U.

Statement II: P earns less than only two persons. T earns more than U but less than R. R earns less than P. Q earns less than S.

Checking Statement I:

Statement I: R earns more than only two persons. Q earns more than P but not maximum. T earns more than only U.

Reference:

R earns more than only two persons.
T earns more than only U.
Q earns more than P but not maximum.


Inference:

After using the above references, we have:

Order of Earnings:

__ > Q > P > R > T > U

Here, we can say that S earns maximum.

Order of Earnings:

S > Q > P > R > T > U

Clearly, Statement I alone is sufficient to answer the question.

Checking Statement II:

Statement II: P earns less than only two persons. T earns more than U but less than R. R earns less than P. Q earns less than S.

Reference:

T earns more than U but less than R.
R earns less than P.
P earns less than only two persons.
Q earns less than S.


Inference:

After using the above references, we have:

Order of Earnings:

S > Q > P > R > T > U

Here, we can say that S earns maximum.

Clearly, Statement II alone is sufficient to answer the question.

Here, the data in either Statement I or II alone is sufficient to answer the question.

Hence, the correct answer is option C.
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