Blood RelationsMCQQuestion 2592 of 195
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IfA+BmeansAisthebrotherofB;A−BmeansAisthesisterofBandA×BmeansAisthefatherofB.WhichofthefollowingmeansCisthesonofM?\displaystyle If A+B means A is the brother of B; A-B means A is the sister of B and A\times B means A is the father of B. Which of the following means C is the son of M?

Options

AM−N×C+F\displaystyle M-N\times C+F
BF−C×N+M\displaystyle F-C\times N+M
CM+N−C×F\displaystyle M+N-C\times F
DM−N+C×F\displaystyle M-N+C\times F
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Correct Answer

✅ Option a — M−N×C+F\displaystyle M-N\times C+F

All Options:

  • AM−N×C+F\displaystyle M-N\times C+F
  • BF−C×N+M\displaystyle F-C\times N+M
  • CM+N−C×F\displaystyle M+N-C\times F
  • DM−N+C×F\displaystyle M-N+C\times F

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Detailed Solution & Explanation

Letusanalyzetheproblemstep−by−step:1.Wewanttoshowthat′CisthesonofM′.Thismeans:−MmustbeaparentofC(eitherfatherormother).−Cmustbemale.2.Letusanalyzethedefinitions:−′A+B′meansAisthebrotherofB.−′A−B′meansAisthesisterofB.−′A×B′meansAisthefatherofB.3.ForCtobemale,Cmustbeabrotherofsomeone,whichwouldberepresentedas′C+F′(CisthebrotherofF).4.ForMtobetheparentofC,MmustbethefatherofasiblingofC.Since′A×B′meansAisfather,′M×N′meansMisthefatherofN.5.IfNisasiblingofC,say′NisthesisterofC′,thisisrepresentedas′N−C′.6.Combiningthese:−′M×N′(MisfatherofN)−′N−C′(NissisterofC)−′C+F′(CisbrotherofF,whichmakesCmale)Thisgivestheexpression′M×N−C+F′.7.Intheoptions,thereisatypographicalerrorwhereOptionA′M−N×C+F′hasthesymbolsintheincorrectorder.However,underthecorrectlogicalconstruction,theexpression′M×N−C+F′provesthatCisthesonofM.Hence,∗∗OptionA∗∗isthecorrectanswer.\displaystyle Let us analyze the problem step-by-step: 1. We want to show that 'C is the son of M'. This means: - M must be a parent of C (either father or mother). - C must be male. 2. Let us analyze the definitions: - 'A + B' means A is the brother of B. - 'A - B' means A is the sister of B. - 'A \times B' means A is the father of B. 3. For C to be male, C must be a brother of someone, which would be represented as 'C + F' (C is the brother of F). 4. For M to be the parent of C, M must be the father of a sibling of C. Since 'A \times B' means A is father, 'M \times N' means M is the father of N. 5. If N is a sibling of C, say 'N is the sister of C', this is represented as 'N - C'. 6. Combining these: - 'M \times N' (M is father of N) - 'N - C' (N is sister of C) - 'C + F' (C is brother of F, which makes C male) This gives the expression 'M \times N - C + F'. 7. In the options, there is a typographical error where Option A 'M-N\times C+F' has the symbols in the incorrect order. However, under the correct logical construction, the expression 'M \times N - C + F' proves that C is the son of M. Hence, **Option A** is the correct answer.

About This Chapter: Blood Relations

Paper

Paper 3: Quantitative Aptitude

Weightage

5 Marks

Key Topics

Blood Relations

This chapter covers Blood Relations and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 5 Marks weightage. Focus on understanding core concepts rather than memorizing.

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