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If (A+B)=(C+D)(A + B) = (C + D) and (A+D)>(B+C)(A + D) > (B + C), then which of the following is definitely wrong?

Solution

✅ Correct Option: 4

From A+B=C+DA + B = C + D, we get A−C=D−BA - C = D - B.

Also, A+D>B+CA + D > B + C gives A−C>B−DA - C > B - D. Substituting A−C=D−BA - C = D - B gives D−B>B−DD - B > B - D, so D>BD > B. Therefore B>DB > D is definitely false.

Further, since A−C=D−B>0A - C = D - B > 0, we also get A>CA > C, making C>AC > A false as well. Thus both Options 2 and 4 are mathematically impossible, making the question ambiguous. The official NTA answer key marks Option 4. If we've missed anything, please report and let us know.

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