Directions: Study the following information carefully and answer the questions given below.
Six persons - P, Q, R, S T, and U went on a tour on two different dates either the 9th or 26th in three different months viz. March, May, and November of the same year.
Each of them visited different cities viz. Pune, Gaya, Vadodara, Sonipat, Kota and Mysore.
All the information is not necessarily in the same order.
U went on an odd-numbered date.
Only two persons went between the one who went to Mysore and U. R and Q went on the same date but none of them went in November. The one who went to Vadodara went immediately before Q but not in May. As many persons went after T is the same as before the one who went to Kota. T did not go in March.
Only one person went between the one who went to Pune and Sonipat. P went immediately after the one who went to Sonipat but did not go to Mysore. S did not go to Pune.
Which of the following statement(s) is/are true with respect to the final arrangement?
- AOption (a)
Q went to Mysore city.
- BOption (b)
R went in the month having an even number of days
- COption (c)
S did not go to tour on an odd-numbered date
- DOption (d)
Only two persons went between T and the one who went to Pune city
- EOption (e)
None is true
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Correct answer
Q went to Mysore city.
Why this answer is correct
Given:-
Six persons - P, Q, R, S T, and U
Two different dates - 9 and 26
Three different months - March, May, and November
Six Cities - Pune, Gaya, Vadodara, Sonipat, Kota and Mysore.
Now,
-
U went on an odd-numbered date.
-
Only two persons went between the one who went to Mysore and U.
| Month | Date | Case I | Case II | Case III |
|---|---|---|---|---|
| March (31) | 9 | U | ||
| 26 | (Mysore) | |||
| May (31) | 9 | U | ||
| 26 | (Mysore) | |||
| November (30) | 9 | U | ||
| 26 | (Mysore) |
3) R and Q went on the same date but none of them went in November.
- The one who went to Vadodara went immediately before Q but not in May.
| Month | Date | Case I | Case II | Case III |
|---|---|---|---|---|
| March (31) | 9 | U (Vadodara) | (Vadodara) | (Vadodara) |
| 26 | Q | Q | Q (Mysore) | |
| May (31) | 9 | U | ||
| 26 | R (Mysore) | R | R | |
| November (30) | 9 | U | ||
| 26 | (Mysore) |
5) As many persons went after T is the same as before the one who went to Kota.
- T did not go in March.
| Month | Date | Case I | Case II | Case III |
|---|---|---|---|---|
| March (31) | 9 | U (Vadodara) | (Vadodara) | (Vadodara) |
| 26 | Q (Kota) | Q (Kota) | Q (Mysore) | |
| May (31) | 9 | U | T | |
| 26 | R (Mysore) | R | R (Kota) | |
| November (30) | 9 | T | T | U |
| 26 | (Mysore) |
7) Only one person went between the one who went to Pune and Sonipat.
8) S did not go to Pune.
| Month | Date | Case I | Case II | Case III |
|---|---|---|---|---|
| March (31) | 9 | U (Vadodara) | P / S (Vadodara) | S / P (Vadodara) |
| 26 | Q (Kota) | Q (Kota) | Q (Mysore) | |
| May (31) | 9 | P (Pune) | U (Pune) | T (Sonipat) |
| 26 | R (Mysore) | R (Gaya) | R (Kota) | |
| November (30) | 9 | T (Sonipat) | T (Sonipat) | U (Pune) |
| 26 | S (Gaya) | S / P (Mysore) | S / P (Gaya) |
9) P went immediately after the one who went to Sonipat but did not go to Mysore. This is possible only in Case III.
Hence, the final arrangement is -
| Month | Date | Case III |
|---|---|---|
| March (31) | 9 | S (Vadodara) |
| 26 | Q (Mysore) | |
| May (31) | 9 | T (Pune) |
| 26 | R (Kota) | |
| November (30) | 9 | U (Sonipat) |
| 26 | P (Gaya) |
Hence, the correct answer is Q went to Mysore city.