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Sum XYZ + YZX + ZXY = 111(X + Y + Z): divisibility

This type of question, asked 2 times: CDS 2 2018, CDS 1 2020. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2018

    17
    Consider the following statements in respect of three 3-digit numbers XYZ, YZX and ZXY : 1. The sum of the numbers is not divisible by (X + Y + Z). 2. The sum of the numbers is divisible by 111. Which of the above statements is/are correct ?

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  2. Question 2

    CDS 1 2020

    43
    Let XYZXYZ be a 3-digit number. Let S=XYZ+YZX+ZXYS = XYZ + YZX + ZXY. Which of the following statements is/are correct? 1. SS is always divisible by 3 and (X+Y+Z)(X + Y + Z) 2. SS is always divisible by 9 3. SS is always divisible by 37 Select the correct answer using the code given below:

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