Seven people Anuj, Akash, Bablu, Dharmendra, Ritu, Sudha and Ranjan are standing in a single line, facing a house. Ritu is somewhere ahead of Sudha. There is exactly one person standing between Bablu and Ranjan. Dharmendra is immediate behind of Anuj, Sudha is behind both Akash and Dharmendra. If Dharmendra and Bablu are fourth and fifth in line respectively, then which of the following must be true?

Sudha is sixth

The correct answer is Option (3) → Sudha is sixth

Given:

• Seven people: Anuj (A), Akash (K), Bablu (B), Dharmendra (D), Ritu (R), Sudha (S), Ranjan (J)
• They stand in a single line, facing a house (positions from left to right: 1 to 7)
• Ritu is ahead of Sudha ⟹ Position(R) < Position(S)
• Exactly one person between Bablu and Ranjan ⟹ |Position(B) − Position(J)| = 2
• Dharmendra is immediately behind Anuj ⟹ Position(D) = Position(A) + 1
• Sudha is behind both Akash and Dharmendra ⟹ Position(S) > Position(K) and Position(S) > Position(D)
• Dharmendra is 4th ⟹ D = 4
• Bablu is 5th ⟹ B = 5

Step-by-step placement:

Since D = 4, and D is immediately behind A ⟹ A = 3

Since B = 5, and exactly one person between B and J ⟹ J = 3 or 7

But A is already at 3 ⟹ J = 7

So far:

1: ?
2: ?
3: A
4: D
5: B
6: ?
7: J

S must be after both K and D. Since D = 4 ⟹ S ∈ {5, 6, 7}

But B is at 5 and J is at 7 ⟹ S = 6

Only positions left: 1 and 2 → must be filled by R and K

Ritu must be ahead of Sudha (S = 6) ⟹ R ∈ {1, 2}

So final lineup is:

1: R or K
2: K or R
3: A
4: D
5: B
6: S
7: J

Hence:

Sudha is in 6th position.