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Question

You are given a question and two statements. Identify which of the statements is/are necessary/sufficient to answer the question.

Question:
Who is the father of M?

Statements:
I - P and Q are brothers.
II - Q's wife is the sister of M's wife.

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
Statement I and II both are not sufficient.

Analyzing Statement I Sufficiency

Statement I says that P and Q are brothers. This information establishes a familial link between P and Q but provides no details about M or M's parents. Therefore, Statement I alone cannot determine who M's father is.

Analyzing Statement II Sufficiency

Statement II states that Q's wife is the sister of M's wife. This implies that Q and M are related through their wives (likely brothers-in-law, assuming they married sisters). However, this relationship does not provide any information about M's father. Therefore, Statement II alone is insufficient.

Analyzing Both Statements Together

When considering both statements together:

  • Statement I: P and Q are brothers.
  • Statement II: Q's wife is the sister of M's wife.

Even combining these, we know P and Q are siblings. We also know that Q and M are connected via their wives. This confirms a relationship between Q and M, but it does not reveal anything about M's father or parents. No information links P, Q, or their wives' families to M's paternal side.

Conclusion on Sufficiency

Since neither statement individually nor both statements combined provide enough information to identify M's father, both statements are insufficient.

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Important Questions from Data Sufficiency

  1. Which of the following statement is correct?

    I. The value of 1002 - 992 + 98972 + 962 - 952 + 942  - 932  + ......  + 222   - 212 is 4840.

    II. The value of 

    \(\left(k^2+ \frac{1}{k^2} \right) \left(k- \frac{1}{k} \right) \left(k^4+ \frac{1}{k^4} \right) \) \(\left(k+ \frac{1}{k} \right)\left(k^4- \frac{1}{k^4} \right)\) is \(k^{16}- \frac{1}{k^{16}}\).

  2. Given below is a question followed by two statements I and II. Read both statements carefully to decide which one of them is sufficient to answer the question.

    Six people - A, B, C, D, E and F are sitting in a straight line facing north. Who sits to the immediate left of D?

    (I) A sits second from one of the extreme ends of the line. Only two people sit between A and B. E sits to the immediate right of C.

    (II) C sits third from the left end of the line. Only one person sits between C and F. E sits third to the right of F.

  3. Please read the below equation and select an appropriate option from the following.

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