Read the following information and answer the questions that follow: Seven persons P, Q, R, S, T, U and V have joined Indian Army at different ranks i.e. Naik, Subedar, Major, Lieutenant, Captain, Colonel and Brigadier on a different days of the week from Monday to Sunday, in same order and they belong to different cities- Noida, Delhi, Mumbai, Bengaluru, Ahmedabad, Hyderabad and Rohtak. The order of persons, ranks, and cities not necessarily in the same order. R joins at rank of Naik but not on Tuesday. V joins on Monday but not at rank of Major and Brigadier. U joins at rank of Captain on Friday. The one who joins at rank of Naik belongs to Ahmedabad. Q joins at rank of Lieutenant on Wednesday. Two people join on the days between the days on which one joins who belongs to Ahmedabad and the one who belongs to Hyderabad. S, who belongs to Hyderabad does not join at rank of Naik or Major and joins on the next day of the day on which T joins, who joins at rank of Colonel. The one who belongs to Bengaluru joins on the day just before the day on which R joins and three people join between the days on which the one who belongs to Noida and the one who belongs to Rohtak join. The one who belongs to Delhi joins just before the day on which the one who belongs to Noida joins the Indian Army. The one who belongs to Mumbai joins after the day on which the person who belongs to Noida joins.

On which day did R join the Indian Army?

Question

Read the following information and answer the questions that follow: Seven persons P, Q, R, S, T, U and V have joined Indian Army at different ranks i.e. Naik, Subedar, Major, Lieutenant, Captain, Colonel and Brigadier on a different days of the week from Monday to Sunday, in same order and they belong to different cities- Noida, Delhi, Mumbai, Bengaluru, Ahmedabad, Hyderabad and Rohtak. The order of persons, ranks, and cities not necessarily in the same order. R joins at rank of Naik but not on Tuesday. V joins on Monday but not at rank of Major and Brigadier. U joins at rank of Captain on Friday. The one who joins at rank of Naik belongs to Ahmedabad. Q joins at rank of Lieutenant on Wednesday. Two people join on the days between the days on which one joins who belongs to Ahmedabad and the one who belongs to Hyderabad. S, who belongs to Hyderabad does not join at rank of Naik or Major and joins on the next day of the day on which T joins, who joins at rank of Colonel. The one who belongs to Bengaluru joins on the day just before the day on which R joins and three people join between the days on which the one who belongs to Noida and the one who belongs to Rohtak join. The one who belongs to Delhi joins just before the day on which the one who belongs to Noida joins the Indian Army. The one who belongs to Mumbai joins after the day on which the person who belongs to Noida joins.

On which day did R join the Indian Army?

Accepted Answer

**Solution:**

1. From the given data, V joins on Monday but is neither Major nor Brigadier.
2. U joins as Captain on Friday.
3. Q joins as Lieutenant on Wednesday.
4. R is Naik but not on Tuesday; Naik belongs to Ahmedabad.
5. S belongs to Hyderabad, does not join as Naik or Major, and joins the day after T, who is Colonel.
6. The person from Bengaluru joins the day before R.
7. There are two people between Ahmedabad (R) and Hyderabad (S).
8. Three people join between Noida and Rohtak.
9. Delhi joins just before Noida; Mumbai joins after Noida.

Step-by-step deduction:

- Since V joins Monday, and U joins Friday, Q joins Wednesday.
- R is Naik and not Tuesday; so possible days for R are Thursday, Saturday, or Sunday.
- Bengaluru joins the day before R, so if R is Thursday, Bengaluru is Wednesday (Q's day), which conflicts as Q is Lieutenant and Bengaluru is a city, so possible.
- But Q is Lieutenant on Wednesday, so Bengaluru person cannot be Q.
- So R cannot be Thursday.

Try R on Saturday:
- Then Bengaluru is Friday (U's day).
- U is Captain on Friday, so Bengaluru person is U.
- R is Naik on Saturday, Ahmedabad city.
- Two people between Ahmedabad (Saturday) and Hyderabad (S).
- So Hyderabad (S) must be Wednesday (Q's day) or Sunday.
- S is Hyderabad and joins the day after T (Colonel).
- If S is Sunday, T is Saturday (R's day), conflict.
- If S is Wednesday, T is Tuesday.

Assign T to Tuesday (Colonel).

Delhi joins just before Noida; Mumbai joins after Noida.

Three people between Noida and Rohtak.

Assign Noida to Thursday, Rohtak to Monday (V's day).

Delhi then is Wednesday (just before Noida), which is S's day (Hyderabad), conflict.

Try Noida on Tuesday, Rohtak on Saturday:

Three people between Tuesday and Saturday: Wednesday, Thursday, Friday.

Delhi just before Noida means Delhi on Monday.

Mumbai after Noida means after Tuesday.

Monday: V (Rohtak)
Tuesday: Noida
Wednesday: Q (Lieutenant)
Thursday: Delhi
Friday: U (Captain, Bengaluru)
Saturday: R (Naik, Ahmedabad)
Sunday: S (Hyderabad)

This fits all conditions.

**Answer:** R joins on Saturday.

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