Question

Each of the five friends L, M, N, O and P scored different marks in an examination. The one who scored second highest marks scored 87%. P
scored 76% marks. Maximum marks of the examination are 100. M scored more than P but less than N. Only two people scored more than L. P did
not score the minimum marks. Who among the following possibly scored 82% marks?​

Answer 1

Given :  Each of the five friends L, M, N, O and P scored different marks in an examination.

The one who scored second highest marks scored 87%.

P scored 76% marks. Maximum marks of the examination are 100.

M scored more than P but less than N.

Only two people scored more than L.

P did not score the minimum marks.

To Find : Who  possibly scored 82% marks

Solution:

1        2        3        4         5

       87%

P = 76 %

P did not score the minimum marks

so two possible cases

case 1

1        2        3        4         5

       87%   76 %

                  P

case 2

1        2        3        4         5

       87%             76 %

                             P

Who  possibly scored 82% marks is the Question

Hence  case 1 not possible

so   only case 2 is possible

case 2

1        2        3        4         5

       87%   82%    76 %

       M        M       P

∵ M scored more than P but less than N

Only two people scored more than L Hence L must be 3

so

1        2        3        4         5

       87%   82%    76 %

N        M        L         P     O

So L possibly scored 82%  

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