If a, b, c, d are prime numbers such that a^2-b^2=c & d=b+c , then sum of all the 4 digit numbers formed by using the digits a , b , c , d without repetition is -

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Correct answer: C. an even number divisible by 11

Ans. (B,C) aligned & a^2-b^2=c (a-b)(a+b)=c & a-b=1 a=3, b=2, c=5 & d=7 aligned and sum of all possible numbers =3!(1111)(2+3+5+7)=113322

If a, b, c, d are prime numbers such that a^2-b^2=c & d=b+c , then sum of all the 4 digit numbers formed by using the digits a , b , c , d without repetition is -

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