How many numbers from 1 to 430 are divisible by 7 and 11 both?

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 2)
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  1. 5
  2. 11
  3. 9
  4. 7

Answer (Detailed Solution Below)

Option 1 : 5
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Detailed Solution

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Given:

Number divisible by 7 and 11

Concept used:

The concept of LCM is used

Calculations:

⇒ LCM of 7 and 11 = 77

The number divisible by 7 and 11 both should by divisible by 77

Numbers are

⇒ 77, 154, 231, 308, and 385

and next number will be greater than 430

⇒ Hence, Total number divisible by 7 and 11 is 5

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