Q(1 andndash; 10) Each of the questions below consists of a question and two/three statements given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the three statements and give answer: andndash;Is the average of the largest and the smallest of four given numbers greater than the average of four numbersI. The difference between the largest and the second largest number is less than the difference between the second largest and the second smallest number.II. The difference between the largest and the second largest number is greater than the difference between the second smallest and the smallest numberIII. The difference between the largest and the second smallest number is greater than the difference between the second largest and the smallest number.a)Only Statement Ib)Either II or IIIc)I and Either II or IIId)Only Statement IIe)Can not be determinedCorrect answer is option 'C'. Can you explain this answer?

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Is the average of the largest and the smallest of four given numbers greater than the average of four numbers
I. The difference between the largest and the second largest number is less than the difference between the second largest and the second smallest number.
II. The difference between the largest and the second largest number is greater than the difference between the second smallest and the smallest number
III. The difference between the largest and the second smallest number is greater than the difference between the second largest and the smallest number.

a)
Only Statement I
b)
Either II or III
c)
I and Either II or III
d)
Only Statement II
e)
Can not be determined

Correct answer is option 'C'. Can you explain this answer?

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Data Sufficiency MCQ - 1

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Q(1 – 10) Each of the questions below consists of a question and...

Four consecutive numbers – A, B, C and D.
From Statement I,
D – C < C – B
B + D < 2C ; From Statement II, D – C > B – A
A + D > B + C
A + D/2 > A + B + C + D / 4
From Statement III,
D – B > C – A
D + A > C + B

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Q(1 – 10) Each of the questions below consists of a question and...

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Q(1 – 10) Each of the questions below consists of a question and...

Given Question:
Is the average of the largest and the smallest of four given numbers greater than the average of four numbers?

Statement Analysis:

Statement I:
- The difference between the largest and the second largest number is less than the difference between the second largest and the second smallest number.

Statement II:
- The difference between the largest and the second largest number is greater than the difference between the second smallest and the smallest number.

Statement III:
- The difference between the largest and the second smallest number is greater than the difference between the second largest and the smallest number.

Solution:
- From Statement I, we can infer the relative differences between the numbers but it does not provide enough information to determine if the average of the largest and the smallest numbers is greater than the average of all four numbers.
- From Statement II, we can compare the differences between specific pairs of numbers but it also does not give a conclusive answer to the original question.
- Combining Statement I and Statement II, we can see that the difference between the largest and the second largest number is less than the difference between the second largest and the second smallest number, and the difference between the largest and the second largest number is greater than the difference between the second smallest and the smallest number. However, this still does not provide enough information to answer the original question.
- Therefore, the correct answer is (C) I and either II or III as the data provided in the statements are not sufficient to answer the original question definitively.

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Q(1 – 10) Each of the questions below consists of a question and two/three statements given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the three statements and give answer: –Is the average of the largest and the smallest of four given numbers greater than the average of four numbersI. The difference between the largest and the second largest number is less than the difference between the second largest and the second smallest number.II. The difference between the largest and the second largest number is greater than the difference between the second smallest and the smallest numberIII. The difference between the largest and the second smallest number is greater than the difference between the second largest and the smallest number.a)Only Statement Ib)Either II or IIIc)I and Either II or IIId)Only Statement IIe)Can not be determinedCorrect answer is option 'C'. Can you explain this answer?

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