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The areas of 8 cylinders C1, C2, C3, C4, C5, C6, C7 and C8 are compared. No two cylinders have the same area. Either C1 or C7 is the minimum area. The area of C4 is greater than that of C1 but less than that of C5. The area of C6 is less than only C3 and C2. The area of C5 is less than that of C7 and C8. Which of the following sequence is not possible?

The areas of 8 cylinders C1, C2, C3, C4, C5, C6, C7 and C8 are compared. No two cylinders have the same area. Either C1 or C7 is the minimum area. The area of C4 is greater than that of C1 but less than that of C5. The area of C6 is less than only C3 and C2. The area of C5 is less than that of C7 and C8. Which of the following sequence is not possible? Correct Answer C1 < C4 < C5 < C7 < C3 < C6 < C2 < C8

8 cylinders: C1, C2, C3, C4, C5, C6, C7, and C8

Important Points

  • Given question: Which of the following sequence is not possible?
  • This means that there are 3 correct or possible sequences; we have to identify the incorrect sequence out of the four options.

1) Either C1 or C7 is the minimum area.

C1/C7 (Minimum)

2) The area of C4 is greater than that of C1 but less than that of C5.

C1 < C4 < C5

3) The area of C6 is less than only C3 and C2.

This implies the area of C6 is greater than the remaining ones.

C1, C2, C4, C5, C7, C8 < C6 < C3, C2

4) The area of C5 is less than that of C7 and C8.

C5 < C7, C8

This implies that C1 is the minimum.

After combining:

C1 < C4 < C5 < C7, C8 < C6 < C2, C3

This gives us the following possible arrangements:

1) C1 < C4 < C5 < C8 < C7 < C6 < C2 < C3 - this is same as option 2

2) C1 < C4 < C5 < C7 < C8 < C6 < C2 < C3 - this is same as option 3

3) C1 < C4 < C5 < C8 < C7 < C6 < C3 < C2 - this is not same as option 4

4) C1 < C4 < C5 < C7 < C8 < C6 < C3 < C2 - this is same as option 1

Therefore, the arrangement in option (4) is not possible.

Hence, option (4) is the correct answer.

Related Questions

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