Directions for the following 3 (three) items:
Read the following information and answer the three items that follow:
Six students A, B, C, D, E and F appeared in several tests. Either C or F scores the highest. Whenever C scores the highest, then E scores the least. Whenever F scores the highest, B scores the least.
In all the tests they got different marks; D scores higher than A, but they are close competitors; A scores higher than B; C scores higher than A.
9. If F stands second in the ranking, then the position of B is
- Third
- Fourth
- Fifth
- Sixth
10. If B scores the least, the rank of C will be
- Second
- Third
- Fourth
- Second or third
11. If E is ranked third, then which one of the following is correct?
- E gets more marks than C
- C gets more marks than E
- A is ranked fourth
- D is ranked fifth
Solution for Q. 9 to 11:
Let’s first number the conditions given in question. There are eight conditions in all.
i. Six students A, B, C, D, E and F appeared in several tests.
ii. Either C or F scores the highest.
iii. Whenever C scores the highest, then E scores the least.
iv. Whenever F scores the highest, B scores the least.
v. In all the tests they got different marks;
vi. D scores higher than A, but they are close competitors;
vii. A scores higher than B;
viii. C scores higher than A
Sol 9. Answer is (c). If F stands second, then by condition (ii), C will be first. If C is first (i.e., score
highest) by condition (iii), E scores the least. And using conditions v, vi, vii and viii, we got the following
order - C – F – D – A – B – E. Hence B stood fifth.
Sol 10. Answer is (d). B scores last means C is not on the first position (condition iii). So on the first position there must be F (condition ii). Now out of six positions first and last positions are fixed.
F _ _ _ _ B.
The middle four positions will be filled by E, C, D and A. In which C, D and A will come in following order
(conditions v, vi, vii and viii) – F _ C _ D _ A _ B
In this arrangement E can occupy four positions. In every case C can be either occupy second or third
place. Ans.(d)
Sol 11. Answer is (b). E is ranked third, it means it is not ranked last, it means C is not first, it means F
is first, it means B is last (using conditions given in question). So we have following arrangement -
F _ E _ _ B
Now by using conditions v to viiii we have final order –
F C E D A B
Ans.(b)
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