I. Seven students S1, S2, S3, S4, S5, S6 and S7 take a series of tests.
II. No two students get similar marks.
III. S7 always scores more than S1
IV. S1 always scores more than S2.
V. Each time either S3 scores the highest and S5 gets the least or alternatively S4 scores the S2 and S6 scores the least.
If S4 is ranked sixth and S2 is ranked fifth, which of the following can be true?
I. Seven students S1, S2, S3, S4, S5, S6 and S7 take a series of tests.
II. No two students get similar marks.
III. S7 always scores more than S1
IV. S1 always scores more than S2.
V. Each time either S3 scores the highest and S5 gets the least or alternatively S4 scores the S2 and S6 scores the least.
If S4 is ranked sixth and S2 is ranked fifth, which of the following can be true?
If S4 is ranked 6th and S2 is ranked 5th, we have
O > O > O > O > S2 > S4 > O
In this case, S3 will rank the highest and thus S5 will rank the least. We have, S3 > O > O > O > S2 > S4 > S5
Also, the order S7 > S1 > S2 will be maintained The possible arrangements are
S3 > S6 > S7 > S1 > S2 > S4 > S5
or
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(c) &n
the highest average is Rs. 136
Using the data from above question, the lowest average is Rs. 100.
We get the following table of earnings:
Persons | Win Total | Average |
P | 36 * 150 + 14 * 100 = 6800 | 136 |
Q | 34 * 150 + 21 * 100 = 7200 | 131 |
R | 23 * 150 + 36 * 100 = 6850 | 116 |
S | 30 * 150 + 30 * 100 = 6000 | 100 |
Now we can see that the largest difference
= Maximum – Minimum = Rs. 7500 – Rs. 6800
= Rs. 700
IITs = 60; IIMS = 40
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