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Data Sufficiency (DS) | Re: Consider a ten-digit integer A,BC6,7DE,000. Is the integer divisible

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\( 32=2^5\)
The number A,BC6,7DE,000 can be written as=\( A,BC6,7DE * 1000 = A,BC6,7DE * 125* 8 = A,BC6,7DE * 5^3* 2^3\)
As the number A,BC6,7DE,000 has 8 as a factor it is divisible by 8 but to be divisible by 32, this factor A,BC6,7DE should be divisible by at least 4.
Now theOptions.
StatementI
Three-digit integer ABC = 253
So the number is 25367DE.
Without knowing DE we can't conclude anything about its divisibility by 4 (As a number is divisible by 4 only if the ending two digit numbers of the given number are zeros or they are the multiples of 4. i.e.00,04,08,12,16,20,24)
Not Sufficient

StatementII
Two-digit integer DE = 13
So the number becomes A,BC6,713.
This number is not divisible by 2 as the unit digit is 3, so definitely not divisible by 4 also.
So Sufficient to answer the question.

IMO OptionB
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Statistics : Posted by AryaSwagat • on 16 Aug 2023, 01:30 • Replies 1 • Views 93



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