Seven students A, B, C, D, E, F and G take a series of test. No two students get the same marks. A always scores more than B. G always scores more than A. Each time either C scores the highest and E scores the least or D scores the highest and F or B scores the least. If D is ranked sixth and B is ranked fifth according to their marks, then which of the following can be true?

LohaHridoy
  1. G is ranked first or fourth
  2. E is ranked fourth or third
  3. F is ranked third or fourth
  4. A is ranked second or seventh

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AhmedNazir

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Option 3 : F is ranked third or fourth

Given:

A always scores more than B.

A > B

G always scores more than A.

G > A

Condition 1 - Each time either C scores the highest and E scores the least.

C > _ > _ > _ > _ > _ > E

Condition 2: D scores the highest and F or B scores the least.

D > _ > _ > _ > _ > _ > F/B

Given:

D is ranked sixth and B is ranked fifth.

_ > _ > _ > _ > B > D > _

So, condition 2 is false

Then,

C > _ > _ > _ > B > D > E.

We know that,

G always scores more than A.

So, arranging the order of rank according to the given information

Arrangement 1 : C > G > F/A > F/A > B > D > E

Arrangement 2 : C > F > G > A > B > D > E

Now check the options

Option (1) G is ranked first or fourth → False

Because in both arrangements, G is not ranked first or fourth.

Option (2) E is ranked fourth or third → False

Because in both arrangements, E is not ranked fourth or third

Option (3) F is ranked third or fourth → True

Because in arrangements 1 F is ranked third or fourth.

Option (4) A is ranked second or seventh → False

Because in both arrangements, A is not ranked second or seventh

Hence, “F is ranked third or fourth” is the correct answer.

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