The digits of a three-digit number A are written in the reverse order to form another three-digit number B. If B andgt; A and B-A is perfectly divisible by 7, then which of the following is necessarily true?a)100andlt;Aandlt;299b)106andlt;Aandlt;305c)112andlt;Aandlt;311d)118andlt;Aandlt;317Correct answer is option 'B'. Can you explain this answer?

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CLAT Exam > CLAT Questions > The digits of a three-digit number A are writ...

a)
100<A<299
b)
106<A<305
c)
112<A<311
d)
118<A<317

Correct answer is option 'B'. Can you explain this answer?

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The digits of a three-digit number A are written in the reverse order ...

Let A = 100x + 10y + z and B = 100z + 10y + x .According to given condition B - A = 99(z - x) As (B - A) is divisible by 7 . So clearly (z - x) should be divisible by 7. z and x can have values 8,1 or 9,2 , such that 8-2=9 2=7 and y can have value from 0 to 9.
So Lowest possible value of A lowest x,y and z which is is 108 and the highest possible value of A is 299.

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The digits of a three-digit number A are written in the reverse order to form another three-digit number B. If B > A and B-A is perfectly divisible by 7, then which of the following is necessarily true?a)100<A<299b)106<A<305c)112<A<311d)118<A<317Correct answer is option 'B'. Can you explain this answer?

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