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?
Answers
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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So, L scored 82% marks
Explanation:
Given condition:
1. Each of the five friends L, M, N, O and P scored different marks in an
examination
2. The one who scored second highest marks scored 87%
3. P scored 76% marks.
4. Maximum marks of the examination are 100
5. M scored more than P but less than N
6. Only two people scored more than L.
7. P did not score the minimum marks.
To find:
Who among the following possibly scored 82% marks?
According to given Condition:
L, M, N, O, P
Second Highest marks is 87%
P Scored 76%
==> M scored more than P but less than N
==> N> M > P
==> Only two people scored more than L
==> The people must be N and M
==> Third people is L
==> N> M> L> P
==> P did not score the minimum marks
==> So, gets the minimum marks
==> N> M> L> P >O
We know that p = 76
Second Highest marks is 87%
N = ?
M = 87
L = ?
P = 76
O = ?
82% is between M an p
It must be L
So, L scored 82% marks