Is fir quash is wise if police dropped name from chargsheet.

Since your  name has been taken off, it would not appear in the charge-sheet, inspect it and find out from record.

Such hypothetical queries should be asked from your professor/tutor/coach.

Approaching High Court for FIR Quashing (under Section 482 CrPC / Section 528 BNSS) is generally unnecessary and redundant in your case.

The High Court quashes FIRs or charge sheets to stop criminal proceedings against an accused. Since the police excluded you from the charge sheet and the Magistrate took cognizance of the charge sheet without summoning you, there are currently no criminal trial proceedings active against you.

High Courts typically dismiss quashing petitions filed by individuals who have already been dropped by police in the charge sheet, stating that no cause of action survives.

You m,ay obtain certified copy of the final report or charge sheet filed by police where your name is not appearing as accused. 

If an employee background check flags the initial FIR, you can legally declare 'No Criminal Case Pending / Not Accused. Presenting the certified copy of the police charge sheet showing your deletion completely clears your name for employment, visa, and passport checks.

• No need to rush for quashing. If the police have investigated and not sent your client up for trial, and his name is absent from the accused list in the Magistrate’s case, he is presently not an accused in the trial.
• First obtain certified copies of the FIR, charge-sheet, cognizance order and order-sheet and confirm his exact status.
• For future employment/background verification, keep the charge-sheet showing “not sent up for trial” and the cognizance/order-sheet safely.
• If the FIR contains specific allegations against him and you want stronger protection against future misuse, a petition under Section 528 BNSS before the High Court, seeking quashing of proceedings qua your client, can be considered.
• But quashing is not automatically necessary merely because his name appears in the original FIR.
• One caution: a person not charge-sheeted can, in exceptional circumstances, later be summoned during trial under the Section 319 CrPC / corresponding BNSS provision if evidence emerges against him.

My advice: Examine the charge-sheet and cognizance order first; then decide whether targeted quashing is worthwhile.