Answer the questions based on the information given below A B C and D are distinct digits such ...........

Quantitative Aptitude ( CCS) Number System

Answer the questions based on the information given below.

A, B, C and D are distinct digits such that

AAA

BBB

CCC

DDD

--------

ABCD

Question: The value of ABCD is

1997

2997

3997

4997

What I managed to found is that 111A + 111B + 111C + 111D = 1000A + 100B + 10C + D which rearranged becomes

889A - 11B - 101C - 110D = 0

Also that A + B + C = 10 or 20

If A + B + C = 10 --> C = D + 1
If A + B + C = 20 --> C = D + 2

Here after trying all the combination of C and D and plugging them into the 2 equations above to solve for A and B.

222 + 999 + 999 + 777 = 2997

Hence, option 3 is the correct answer.

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