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Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.
Aksh earns Rs. 4000 more than Ankush does. Who among them saves more?
I. Ratio of the salaries of Aksh and Ankush is 4 : 3.
II. Aksh saves 15% of his salary and Ankush saves Rs. 3000 per month.
III. Sum of their salaries is Rs. 28,000.
  • a)
    All statements together
  • b)
    Only statements I and II
  • c)
    Only statement II and either statement I or statement III
  • d)
    Only statements II and III
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Directions: In this problem, a question is followed by statements mar...
Statement I: Ratio of the salaries of Aksh and Ankush is 4 : 3.

Statement II: Aksh saves 15% of his salary and Ankush saves Rs. 3000 per month.

Statement III: Sum of their salaries is Rs. 28,000.

To determine who saves more between Aksh and Ankush, we need to compare their savings.

Analysis of Statement I:
Statement I provides the ratio of the salaries of Aksh and Ankush, which is 4 : 3. However, it does not provide any information about their savings. Therefore, this statement alone is not sufficient to answer the question.

Analysis of Statement II:
Statement II provides the information that Aksh saves 15% of his salary and Ankush saves Rs. 3000 per month. Since we know the savings of both individuals, we can compare them to determine who saves more. However, we do not have any information about their salaries. Therefore, this statement alone is not sufficient to answer the question.

Analysis of Statement III:
Statement III provides the information that the sum of their salaries is Rs. 28,000. However, it does not provide any information about their individual salaries or savings. Therefore, this statement alone is not sufficient to answer the question.

Combining Statements II and III:
From Statement II, we know that Aksh saves 15% of his salary and Ankush saves Rs. 3000 per month.
From Statement III, we know that the sum of their salaries is Rs. 28,000.

Since we know the savings of both individuals and the sum of their salaries, we can calculate their individual salaries and compare them. However, we still do not have enough information to determine who saves more.

Combining Statements II and III with Statement I:
From Statement I, we know the ratio of their salaries is 4 : 3.
From Statement II, we know that Aksh saves 15% of his salary and Ankush saves Rs. 3000 per month.
From Statement III, we know that the sum of their salaries is Rs. 28,000.

Combining all three statements, we can calculate their individual salaries and savings. With this information, we can determine who saves more between Aksh and Ankush. Therefore, all three statements together are necessary to answer the question.

Hence, the correct answer is option C) Only statement II and either statement I or statement III.
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Community Answer
Directions: In this problem, a question is followed by statements mar...
To get the answer, we need to find the salaries of Aksh and Ankush. Statement I or III alone are sufficient to find their salaries.
Using statement I:
Salary of Aksh = 4x
Salary of Ankush = 3x
4x - 3x = 4000
x = 4000
Aksh earns Rs. 16,000 and Ankush earns Rs. 12,000 monthly.
Using statement III:
Let salary of Ankush be X.
Salary of Aksh be X + 4000.
X + X + 4000 = 28,000
2X = 24,000
X = 12,000
Aksh earns Rs. 16,000 and Ankush earns Rs. 12,000 monthly.
To find their savings, statement II is required.
Aksh's savings = 15% of 16,000 = Rs. 2400
Thus, Aksh saves less than Ankush.
Only statement II and either statement I or statement III are required.
Why Incorrect?
Solution: This is an incorrect answer.
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Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.Aksh earns Rs. 4000 more than Ankush does. Who among them saves more?I. Ratio of the salaries of Aksh and Ankush is 4 : 3.II. Aksh saves 15% of his salary and Ankush saves Rs. 3000 per month.III. Sum of their salaries is Rs. 28,000.a)All statements togetherb)Only statements I and IIc)Only statement II and either statement I or statement IIId)Only statements II and IIICorrect answer is option 'C'. Can you explain this answer?
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Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.Aksh earns Rs. 4000 more than Ankush does. Who among them saves more?I. Ratio of the salaries of Aksh and Ankush is 4 : 3.II. Aksh saves 15% of his salary and Ankush saves Rs. 3000 per month.III. Sum of their salaries is Rs. 28,000.a)All statements togetherb)Only statements I and IIc)Only statement II and either statement I or statement IIId)Only statements II and IIICorrect answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.Aksh earns Rs. 4000 more than Ankush does. Who among them saves more?I. Ratio of the salaries of Aksh and Ankush is 4 : 3.II. Aksh saves 15% of his salary and Ankush saves Rs. 3000 per month.III. Sum of their salaries is Rs. 28,000.a)All statements togetherb)Only statements I and IIc)Only statement II and either statement I or statement IIId)Only statements II and IIICorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.Aksh earns Rs. 4000 more than Ankush does. Who among them saves more?I. Ratio of the salaries of Aksh and Ankush is 4 : 3.II. Aksh saves 15% of his salary and Ankush saves Rs. 3000 per month.III. Sum of their salaries is Rs. 28,000.a)All statements togetherb)Only statements I and IIc)Only statement II and either statement I or statement IIId)Only statements II and IIICorrect answer is option 'C'. Can you explain this answer?.
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