Count Females in Relationship

CMAT 2018 · Logical Reasoning · Medium · Logical Reasoning

If m+nm + n means mm is sister of nn, m−nm - n means mm is brother of nn, m×nm \times n means mm is daughter of nn, m÷nm \div n means mm is mother of nn,

How many females can be shown by the given relationship? a+b−c+d−e×fa + b - c + d - e \times f

  1. A.

    2

  2. B.

    3

  3. C.

    4

  4. D.

    Cannot be determined

Answer

D

Explanation

Analyzing the expression a+b−c+d−e×fa + b - c + d - e \times f:

  • a+b  ⟹  aa + b \implies a is female (sister of bb).
  • b−c  ⟹  bb - c \implies b is male (brother of cc).
  • c+d  ⟹  cc + d \implies c is female (sister of dd).
  • d−e  ⟹  dd - e \implies d is male (brother of ee).
  • e×f  ⟹  ee \times f \implies e is female (daughter of ff).
  • ff: gender of ff is not specified (could be male or female).

Since the gender of ff cannot be determined, the total number of females cannot be determined conclusively.

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