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Question

F + M means ‘F is the husband of M’

F ÷ M means ‘F is the daughter of M’

F − M means ‘F is the father of M’

F × M means ‘F is the mother of M’

If U + V × K – B, then how is U related to B?

The correct answer is

Paternal grandfather

Understanding Blood Relations in Reasoning Puzzles

This question involves decoding relationships based on a set of defined codes. We are given an expression U + V × K – B and need to determine how U is related to B using the provided rules.

Decoding the Relationship Codes

Let's break down the given codes:

  • F + M means ‘F is the husband of M’
  • F ÷ M means ‘F is the daughter of M’
  • F – M means ‘F is the father of M’
  • F × M means ‘F is the mother of M’

Analyzing the Expression U + V × K – B

We will analyze the expression step-by-step from left to right:

  1. U + V: According to the first rule, F + M means 'F is the husband of M'. Applying this to U + V, it means ‘U is the husband of V’. This tells us U is male and V is female, and they are a married couple.
  2. V × K: According to the fourth rule, F × M means 'F is the mother of M'. Applying this to V × K, it means ‘V is the mother of K’. This tells us K is the child of V. Since U is V's husband, K is also the child of U.
  3. K – B: According to the third rule, F – M means 'F is the father of M'. Applying this to K – B, it means ‘K is the father of B’. This tells us B is the child of K. Since K is male, B is the child of K and K's partner (whose identity is not needed to find the relation between U and B).

Determining the Relationship between U and B

From our analysis, we have the following relationships:

  • U is the father of K.
  • K is the father of B.

If K is B's father, and U is K's father, then U is B's father's father. The father's father is known as the paternal grandfather.

Final Relationship

Based on the expression U + V × K – B, U is the paternal grandfather of B.

Revision Table: Blood Relation Codes

Code Meaning
+ Husband of
÷ Daughter of
Father of
× Mother of

Additional Information on Blood Relations

Blood relation questions test your ability to understand and decode complex family structures. They often involve symbolic representations of relationships. To solve these types of problems effectively:

  • Carefully read and understand the meaning of each code or symbol provided.
  • Break down the given expression into smaller segments based on the operators (+, –, ×, ÷).
  • Determine the relationship between the two individuals in each segment.
  • Build a step-by-step chain of relationships to connect the two individuals whose relation is asked.
  • Identify the gender of individuals if specified or implied by the relation (e.g., husband is male, mother is female).
  • Use diagrams or family trees if the expression is long or complex, though for simpler ones like this, a linear breakdown is sufficient.
  • Remember common relations like paternal (father's side) and maternal (mother's side).

Practice is key to mastering blood relation problems and improving your speed and accuracy in competitive exams.

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Important Questions from Miscellaneous

  1. A stone is thrown horizontally from the top of a 20 m high building with a speed of 12 m/s. It hits the ground at a distance R from the building. Taking g = 10 m/s2 and neglecting air resistance will give :

  2. A sphere of volume V is made of a material with lower density than water. While on Earth, it floats on water with its volume f1V (f1 < 1) submerged. On the other hand, on a spaceship accelerating with acceleration a < g (g is the acceleration due to gravity on Earth) in outer space, its submerged volume in water is f2V. Then:

  3. A railway wagon (open at the top) of mass M1 is moving with speed v1 along a straight track. As a result of rain, after some time it gets partially filled with water so that the mass of the wagon becomes M2 and speed becomes v2. Taking the rain to be falling vertically and the water stationery inside the wagon, the relation between the two speeds v1 and v2 is :

  4. Consider the following statements:

    1. Distance between the longitudes becomes zero on North Pole and South Pole.

    2. Distance between the longitudes is maximum on the Equator.

    3. Number of longitudes is more than number of latitudes.

    Which of the statements given above is/are correct?

  5. One block of 2⋅0 kg mass is placed on top of another block of 3⋅0 kg mass. The coefficient of static friction between the two blocks is 0⋅2. The bottom block is pulled with a horizontal force F such that both the blocks move together without slipping. Taking acceleration due to gravity as 10 m/s2, the maximum value of the frictional force is :

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