If A × B means that A is the father of B, A + B means that A is the mother of B, A ÷ B means that A is the brother of B then which of the following expression shows that A is the paternal uncle of C?
A ÷ B × C
In blood relation questions like this, we are given specific symbols that represent relationships. We need to decode these expressions to determine the relationship between two individuals.
The relationships defined are:
We are looking for an expression where A is the paternal uncle of C. A paternal uncle is the brother of one's father.
Let's examine each option:
Let's break down this expression:
Combining these, A is the brother of C, and C is the mother of B. This means A is C's sibling. A paternal uncle is the father's brother, not a sibling of C. So, this option is incorrect.
Let's break down this expression:
Combining these, A is the brother of B, and B is the mother of C. This means A is the brother of C's mother. The brother of one's mother is the maternal uncle. So, this option is incorrect.
Let's break down this expression:
Combining these, A is the mother of B, and B is the brother of C. Since B is A's child and also C's brother, C must also be A's child. This means A is the mother of C. This does not make A the paternal uncle of C. So, this option is incorrect.
Let's break down this expression:
Combining these, A is the brother of B, and B is the father of C. This means A is the brother of C's father. The brother of C's father is C's paternal uncle. This matches the required relationship.
Therefore, the expression A ÷ B × C shows that A is the paternal uncle of C.
Let's summarize the relationships derived from each option:
| Expression | Breakdown | Relationship (A to C) |
|---|---|---|
| A ÷ C + B | A is brother of C; C is mother of B | A is brother of C (Sibling) |
| A ÷ B + C | A is brother of B; B is mother of C | A is brother of C's mother (Maternal Uncle) |
| A + B ÷ C | A is mother of B; B is brother of C | A is mother of C |
| A ÷ B × C | A is brother of B; B is father of C | A is brother of C's father (Paternal Uncle) |
| Symbol | Relation |
|---|---|
| × | Father |
| + | Mother |
| ÷ | Brother |
Understanding blood relation puzzles often involves mapping out relationships like a family tree or working backward from the desired relationship. Key terms to know include:
When solving these problems, always process the expression segment by segment according to the given symbol meanings. For example, in A ÷ B × C, first find the relationship between A and B (A is brother of B), then the relationship between B and C (B is father of C). Finally, combine these to find the relationship between A and C (A, being B's brother, is the brother of C's father, making A the paternal uncle of C).
Which two numbers and two signs should be interchanged to make the given equation correct?
5 + 44 - 8 × 25 = 203
Select the set in which the numbers are related in the same way as are the numbers of the following set.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)
(60, 5, 6)
(48, 8, 3)
A & B means ‘A is the son of B’
A # B means ‘A is the sister of B’
A @ B means ‘A is the brother of B’
A % B means ‘A is the father of B’
A - B means ‘A is the daughter of B’
A * B means ‘A is the wife of B’
If C # D @ E % Z & L # M - N * P, then how is Z related to N?
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(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding / subtracting / multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)
(144, 9, 3)
(225, 7, 8)
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Conclusions:
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II. Some trays are pens.
III. Some boxes are pens.
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