Age Order Determination for Girls
The question requires finding which girl is NOT older than Harshita based on a set of clues about the ages of six girls: Harshita, Priyanka, Kusum, Ragini, Sangita, and Tiya.
Clue Analysis for Age Ranking
- Harshita's Age Rank: The clue "Only three girls are older than Harshita" means Harshita is the 4th oldest. The order looks like: (Older Girl 1, Older Girl 2, Older Girl 3, Harshita, Girl 5, Girl 6).
- Sangita's Age Rank: The clue "Only four girls are younger than Sangita" means Sangita is the 2nd oldest. The order looks like: (Oldest Girl 1, Sangita, Girl 3, Girl 4, Girl 5, Girl 6).
- Tiya's Age Rank: "Tiya is the youngest among all" places Tiya at the 6th position (youngest).
- Priyanka's Relative Age: "Priyanka is younger than Sangita and older than Harshita" establishes the order: Sangita > Priyanka > Harshita. Since Sangita is 2nd and Harshita is 4th, Priyanka must be 3rd.
- Determining the Oldest: The order so far is: (1st), Sangita (2nd), Priyanka (3rd), Harshita (4th), (5th), Tiya (6th). The remaining girls are Ragini and Kusum for positions 1st and 5th.
- Kusum's Age Rank: The clue "Kusum is not the oldest among all" means Kusum cannot be 1st. Therefore, Kusum must be 5th.
- Ragini's Age Rank: By elimination, Ragini must be the oldest (1st).
Final Age Order
The complete age order from oldest to youngest is established as:
- Ragini
- Sangita
- Priyanka
- Harshita
- Kusum
- Tiya
Identifying Girls NOT Older Than Harshita
The question asks to identify a girl who is NOT older than Harshita. This means the girl must be younger than Harshita or the same age (though ages are different). In the established order, Harshita is 4th.
- Girls younger than Harshita are Kusum (5th) and Tiya (6th).
- Therefore, Kusum and Tiya are NOT older than Harshita.
Matching with Options
We need to find which of the given options matches Kusum or Tiya.
- Option 1: Ragini - Older than Harshita.
- Option 2: Kusum - Younger than Harshita (NOT older than Harshita).
- Option 3: Priyanka - Older than Harshita.
- Option 4: Sangita - Older than Harshita.
Kusum is the girl who is NOT older than Harshita.