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If ABC × DEED = ABCABC; where A, B, C, D and E are different digits, what are the values of D and E?

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UPSC Civil Services Exam (Prelims) Official Paper-II 2015
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  1. D = 2, E = 0
  2. D = 0, E = 1
  3. D = 1, E = 0
  4. D = 1, E = 2

Answer (Detailed Solution Below)

Option 3 : D = 1, E = 0
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Detailed Solution

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Whenever we multiply a three digit number, let us say xyz, to 1001 then we get xyzxyz as a result.
Implies, DEED represents 1001.

Hence, the values of D and E are 1 and 0 respectively.

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