Reasoning Questions (Puzzles) for IBPS Clerk Mains

Directions (Q. 1–5): Read the following information and answer the questions given below it :
A, B, C, D, E, F, G, H, I and J are ten persons who travel to office everyday by a particular train which stops at six stations Ⅰ, Ⅱ, Ⅲ, Ⅳ, Ⅴ and Ⅵ respectively after it leaves base station.
1. D gets in with only Ⅰ at the same station on which G gets down with H. But H travels between only two stations.
2. C gets down before G. A and E get in alone.
3. B and F get in before D. Also, both B and F get down at the next station after D.
4. G gets in at station Ⅰ only with one person. J gets down after one station but he gets in with three others.
5. None of them gets in at station Ⅲ. Whereas none of them gets down at station Ⅴ.

1). How many persons get down at station Ⅵ?
a) Two
b) Three
c) Four
d) Data inadequate
e) None of these

2).How many persons get in at base station?
a) Two
b) Three
c) Four
d) Data inadequate
e) None of these

3).At which station does D get in?
a) Station Ⅰ
b) Station Ⅱ
c) Station Ⅳ
d) Station Ⅴ
e) None of these

4).How many persons get down before station Ⅳ?
a) One
b) Four
c) Five or Six
d) Data inadequate
e) None of these

5).In how many stations the number of passengers (consider only A to J ) who get in is equal to that of those who get down at the same station?
a) One
b) Two
c) Three
d) Data inadequate
e) None of these

Answers

1). d) 2). c) 3). b) 4). c) 5).d

Explanations:

Let us make a table as shown below and put the information obtained from the clues 4 and 5 in the table. It looks as follow:

Now from clue 1, we get that D and I get in at the same station where G and H get down. Obviously D and I did not get in at base station or station Ⅰ or Ⅲ or Ⅴ. Thus, D and I must have got in either at station Ⅱ or at station Ⅳ. But it is given that H travels between only two stations, hence we can conclude that G and H did not get down at station Ⅳ also. Hence, D and I get in at station Ⅱ and G and H get down at station Ⅱ. Also, we get that H gets in at station Ⅰ.

Now, from clue 2, we get that C gets down before G. This implies that C gets down at station Ⅰ. Again, from clue 3, we get that B and F get in before D. This implies that B and F get in at base station, Again from clue 3, we get that B and F get down at next station after D. This implies that, B and F did not get down at station Ⅵ (because no person gets down at station Ⅴ). And since D gets in at station Ⅱ, this implies that B and F must have got down after at least station Ⅲ.

Thus, we can conclude that B and F get down at station Ⅳ and D gets down at station Ⅲ. Again from clue 2, we get that C gets down at station Ⅰ before G. This implies that C must have got in at the base station. Also, we get that A and E must have got in either at station Ⅳ or at station Ⅴ. Hence, we can conclude that J gets in at base station ( see clue 4 ) and get down at station Ⅰ.

Hence, by elimination, we get that A and E get down at station Ⅵ

But still we do not where I gets down among the stations Ⅲ, Ⅳ and Ⅵ.

Thus the whole information obtained can be summarized as below:

1). Answer: d)

2). Answer: c)

3). Answer: b)

4). Answer: c)

5). Answer: d)