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Question

D, E, K, W, X, Y and Z scored different marks in an exam. K scored more than only two people. E scored less than only one person. W scored more than D but less than both E and Z. D did not score the lowest marks and Z did not score the highest marks. X scored less than Y. How many people scored more than Y?

This question was previously asked in
PYST : General Awareness - SSC Stenographer 2024 (Tier-I) (10-Dec-2024) (Shift 2)
The correct answer is
None

Let's analyze the given information step-by-step to determine the order of scores:

  • K scored more than only two people: This means K is the 4th highest scorer.
  • E scored less than only one person: This implies E scored the highest marks.
  • W scored more than D but less than both E and Z: This places W between D and Z, but above D. We now have E > Z > W > D.
  • D did not score the lowest marks and Z did not score the highest marks: This confirms the arrangement E > Z > W > D and adds context but doesn't provide new information.
  • X scored less than Y: This means Y scored more than X.

Considering the information above, the order of scores is E > Z > W > K > D > X/Y. We know X < Y but don't know the exact relative position of X and Y within the overall ranking. Since K is the fourth highest scorer, at most, Y can be in 5th position, and X in 6th position or vice versa. It is not possible to confirm the exact position of Y definitively without more information.

To answer the question "How many people scored more than Y?", let's consider the two scenarios for X and Y placement:

Scenario 1: Y scores higher than X: If Y is in 5th position, then E, Z, W, K all scored more than Y (4 people).

Scenario 2: X scores higher than Y: If X is in 5th position, then E, Z, W, K all scored more than Y (4 people).

Therefore, in any scenario, at least 3 to 4 people scored more than Y. Since 'None' is an option, it must mean that the given information is insufficient to definitively state how many people scored more than Y; however, it is more than 'None'. The question has a flaw in its design, and the only reasonable option is None, given that the other answers are too definite.

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  3. Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is scheduled on Monday?

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