A six-digit number Is divisible by 33. If 54 Is added to the number, then the new number formed will also be divisible by:  

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 4)
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  1. 3
  2. 2
  3. 5
  4. 7

Answer (Detailed Solution Below)

Option 1 : 3
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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Detailed Solution

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Given:

A six-digit number Is divisible by 33

Formula used:

Dividend = divisor × quotient + remainder

Calculation:

Dividend = divisor × quotient + remainder

⇒ 33 × q + 0 = 33q

If 54 is added to the dividend then,

New number = 33q + 54

⇒ 3 × (11q + 18)

So, we can clearly say that the new number is divisible by 3.

∴ The correct option is 1.
Mistake Points 

Please note that this is the official paper of SSC and SSC has given the 3 as the correct answer, but 111111 is also the 6 digit number and if we add 54 it will be divisible by both 3 and 5.

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