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Question

Given below is a question followed by two Statements numbered I and II, each containing some information. Decide which of the Statement(s) is/are sufficient to answer the question.
Question:
How many sons does D have?
Statements:
I. D is married to A and has three children.
II. B is A's brother and has three sons.
Choose the correct answer:

The correct answer is
Both Statements I and II together are not sufficient to answer the question.

Analyzing Statement I: D's Children

Statement I says: "D is married to A and has three children."

  • This statement tells us the total number of children D has is 3.
  • However, it does not specify the gender of these children.
  • The children could be any combination of sons and daughters (e.g., 3 sons, 2 sons and 1 daughter, 1 son and 2 daughters, or 0 sons and 3 daughters).
  • Therefore, Statement I alone is not sufficient to determine how many sons D has.

Analyzing Statement II: B's Children

Statement II says: "B is A's brother and has three sons."

  • This statement provides information about B's children, specifically that B has 3 sons.
  • The question asks about the number of sons D has.
  • The fact that B (A's brother) has sons does not give us any information about D's children, even though D is married to A. The children belong to B, not D.
  • Therefore, Statement II alone is not sufficient to answer the question.

Analyzing Both Statements Together

Now, let's consider both statements together:

  • Statement I: D has 3 children.
  • Statement II: B has 3 sons.
  • Combining these pieces of information, we know D has 3 children in total, and B has 3 sons.
  • There is no information linking B's sons to D's children. We still don't know the genders of D's three children.
  • Knowing that D's spouse's (A's) brother has sons doesn't tell us how many sons D has.
  • Therefore, even with both statements, we cannot determine the number of sons D has.

Conclusion

Since neither statement alone nor both statements combined provide enough information to answer the question "How many sons does D have?", the correct option is that both statements together are not sufficient.

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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.

    x + y = 10 ; y = x - 2

    Quantity A is x.

    Quantity B is y.

  4. A lady wants to buy the following items in the given price range-

    1. Tomato between Rs. 40 and Rs. 45 per kg.

    2. Grapes in the price range of Rs. 80 and Rs. 90 per kg.

    3. Milk packets at Rs. 23 per liter.

    In which shop from the following will she definitely get all her items/

    A. Shop S sells tomato at Rs. 22.5 per half kg, Grapes at Rs. 82 per kg and milk at Rs. 24 per liter.

    B. Shop H sells grapes at Rs. 21 per quarter kg, milk at 12.5 per half litre and tomato at Rs. 22 per half kg.

    C. Shop O sells milk at Rs. 11.5 per half litre, tomato at 21 per half kg and grapes at Rs. 43 per half kg.

    D. Shop P sells tomato at Rs. 23.5 per half kg, grapes at Rs. 85 per kg and milk at Rs. 23 per litre.
  5. You are given a question and two statements. Identify which of the statements is/are sufficient to answer the question.

    Question:

    When is Yuvi's wedding anniversary?

    Statements:

    1: On the 7 th day of a month.

    2. The month has 29 days only in a leap year.

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