Question

A person has six daughters P, Q, R, S, T, U living in four metros. Professions are Pilot, Accountant, Diplomat, Banker, Commando, Teacher. Facts:
S lives in Mumbai and is a Diplomat.
Those in Kolkata are the Commando and the Accountant.
Of the two Mumbaikars exactly one is married; two of the unmarried daughters live in Kolkata and Delhi respectively.
The Teacher lives in Chennai.
T is the Accountant and is married.
U lives in Mumbai and P in Delhi.
Q is a Commando, and Commandos do not marry.
Which assertions are true?

• A. If the Banker is unmarried, then the Pilot is P.
• B. R is the Teacher, and lives in Chennai.
• C. Q is unmarried.
• D. If the Diplomat is married, then so is the Banker.

Hint:

Pin down places first (cities), then fixed professions, then marriage constraints; finally test each statement by building a consistent table or a counterexample.

Answer 1

The Correct Option is B, C

Deductions from the clues.
Kolkata has Commando and Accountant \(⇒\) \(Q\) (Commando) and \(T\) (Accountant) live in Kolkata. \(T\) is married; \(Q\) is not (Commandos don’t marry).
Teacher lives in Chennai; remaining city after fixing Kolkata (Q,T), Delhi (P), Mumbai (S,U) \(⇒\) \(R\) must be the Teacher in Chennai.
Professions left for \(P\) and \(U\) are Pilot, Banker.
“Two of the unmarried ones live in Kolkata and Delhi” \(⇒\) \(Q\) (Kolkata) and \(P\) (Delhi) are certainly unmarried.
“One of the two Mumbaikars is married” \(⇒\) exactly one of \(S\) or \(U\) is married.

Check options.
(B) True — from above, \(R\) is Teacher in Chennai.
(C) True — \(Q\) is Commando; Commandos do not marry.
(A) False — If the Banker is unmarried it can be \(P\) (unmarried) in Delhi, making \(U\) the Pilot (not \(P\)). A valid assignment contradicts the statement.
(D) False — If the Diplomat \(S\) is married, then (by the Mumbai rule) \(U\) is unmarried. Since \(P\) and \(U\) are \{Pilot, Banker\}, the Banker can be \(U\) (unmarried), violating “then the Banker is married.”

\[ \therefore \boxed{(B)\ \text{and}\ (C)}\ \text{are true.} \]