In a company ABC Ltd. a certain number of engineers can develop a design in 40 days. If there were 5 more engineers, it could be finished in 10 days less. How many engineers were there in the beginning ?

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  1. 18 
  2. 25 
  3. 20 
  4. 15

Answer (Detailed Solution Below)

Option 4 : 15
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Given:

A certain number of engineers can develop a design in 40 days.

If there were 5 more engineers, it could be finished in 30 days.

Formula used:

Let the number of engineers be x.

Work = Number of Engineers × Time

Calculation:

Initial Work = x × 40

New Work = (x + 5) × 30

Since the work done is the same, we equate the two expressions:

⇒ x × 40 = (x + 5) × 30

⇒ 40x = 30x + 150

⇒ 10x = 150

⇒ x = 15

∴ The correct answer is option (4).

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-> The NIELIT Scientific Assistant 2025 Notification has been released by the National Institute of Electronics and Information Technology (NIELIT).

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