Rajendra, a research Scholar, had taken up four banks, SBI, Canara Bank, IOB and PNB for his study. He gave them four different ranks from 1 to 4 in terms of the number of depositors and in terms of profits.
(i) SBI is the 2nd ranker in terms of number of depositiors.
(ii) 1st ranker, in terms of number of depositors, is the 3rd ranker in terms of profits.
(iii) If Canara Bank is the first ranker in terms of number of depositors, then the same bank has got 3rd and 4th ranks in terms of number of depositors and profits respectively.
(iv) If the same bank has not got the 3rd rank in both the comparisons, then IOB is the 1st ranker in terms of number of depositors.
(v) The same bank has got 4th and 1st ranks in terms of the number of depositors and profits respectively.
(vi) PNB is not the 3rd ranker in terms of number of depositors.
(vii) Unless SBI is the 3rd ranker in terms of the number of depositors, the same bank does not get the 3rd and the 2nd rank in terms of the number of depositors and profits respectively.
Which of the following statements is definitely true

Options

A. In terms of profits, PNB is the 2nd rank
B. One bank has got 2nd rank in both the comparisons.
C. In terms of profits, canara Bank is the 3rd ranker.
D. No bank has got the same rank in both the comparisons.

Answer

B

Explanation

By analysing the give information, we get
From (i)
SBI `rArr` 2nd ranker in terms of number of depositors
From (ii)
1st ranker in depositors `rArr` 3rd ranker in profits.
From (iv)
IOB `rArr` 1st ranker in depositors.
So, IOB `rArr` 3rd ranker in profits.
From (v) & (vi)
PNB `rArr` 4th ranker in depositors.
So, Canara Bank `rArr` 3rd ranker in depositors.
PNB `rArr` 1st ranker in profits.
If IOB `rArr` 3rd ranker in profits.
then, SBI `rArr` not 3rd ranker in profits [`because` 3rd ranker in depositors `rArr` not 2nd ranker in profits.]
So, Canara Bank `rArr` not the 2nd ranker in profits.
So, SBI `rArr` 2nd ranker in profits.

By analysing the above comparison table, it is clear that SBI has got 2nd rank in both the comparisons. Therefore, option (b)is definitely true.