Question:
Is Mohita younger or older than Shubham?
Statements:
1. Mohita is, at present, exactly 35 years younger than her father.
2. Mohita's brother, Shubham, who was born in 1954, is exactly 34 years younger than his father.
Data Sufficiency: Mohita vs Shubham Age
The question asks to determine if Mohita is younger or older than Shubham.
Statement 1 Analysis
Statement 1 says Mohita is exactly 35 years younger than her father.
- Let M be Mohita's current age.
- Let $F_M$ be her father's current age.
- The relationship is $M = F_M - 35$.
- This statement provides no information about Shubham or Mohita's absolute age.
- Therefore, Statement 1 alone is not sufficient.
Statement 2 Analysis
Statement 2 says Shubham was born in 1954 and is exactly 34 years younger than his father.
- Let S be Shubham's current age.
- Let $F_S$ be his father's current age.
- Shubham's birth year is 1954.
- The relationship is $S = F_S - 34$.
- We can determine Shubham's age in any given year, but this statement provides no information about Mohita.
- Therefore, Statement 2 alone is not sufficient.
Combined Statements Analysis
To compare Mohita's and Shubham's ages, we need information linking them. The problem implies they are siblings and likely share the same father.
- Assume Mohita's father and Shubham's father are the same person. Let F be the father's age.
- From Statement 1: $M = F - 35$.
- From Statement 2: Shubham born in 1954, and $S = F - 34$.
- Comparing the two equations: $S = F - 34$ and $M = F - 35$.
- This means $S = M + 1$. Shubham is 1 year older than Mohita.
- For example, in the year 2023:
- Shubham's age $S = 2023 - 1954 = 69$.
- Father's age $F = S + 34 = 69 + 34 = 103$.
- Mohita's age $M = F - 35 = 103 - 35 = 68$.
- Thus, Shubham (69) is older than Mohita (68).
- Both statements are necessary to establish the relationship between Mohita's and Shubham's ages.
Conclusion
Since neither statement alone is sufficient, but both statements together are necessary to answer the question, the correct option is B.
Similar Questions
- 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:
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II - Q's wife is the sister of M's wife. - A question and three statements labelled (I), (II) and (III) are given. You have to decide which statement(s) is/are sufficient to answer the question.
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Question:
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Statements:
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II. Rekha is shorter than Surbhi. Surbhi is taller than Shamita. Tanya is shorter than Surbhi.
(A) Statement I alone is sufficient to answer the question, whereas Statement II alone is not sufficient to answer the question.
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A question is followed by three statements numbered (I), (II) and (III). Determine which statements are sufficient to answer the question: Question: What is the two-digit number? Statements: I. The difference between the number and the number obtained by interchanging its digits is 9. II. The sum of the digits is 17. III. The tens digit is greater than the units digit by 1.
Important Questions from Data Sufficiency
Consider two Statements and a Question:
Statement 1: Priya is 4 ranks below Seema and is 31 st from the bottom.
Statement 2: Ena is 2 ranks above Seema and is 37" from the bottom.
Question: What is Seema’s rank from the top in the class of 40 students ?
Which one of the following is correct in respect of the Statements and the Question ?
Consider two Statements and a Question:
Statement 1: Each of A and D is heavier than each of B, E and F, but none of them is the-heaviest.
Statement 2: A is heavier than D, but is lighter than C.
Question: Who is the heaviest among A,B,C, D and E?
Which one of the following is correct in respect of the Statements and the Question ?
Consider two Statements and a Question :
Statement-1 : The last day of the month is a Wednesday.
Statement-2 : The third Saturday of the month was the seventeenth day.
Question : What day is the fourteenth of the given month ?
Which one of the following is correct in respect of the Statements and the Question ?
Consider the Question and two Statements given below :
Question : Is xan integer?
Statement-1 : x / 3 is not an integer.
Statement-2 : 3 xis an integer.
Which one of the following is correct in respect of the Question and the Statements?
Consider the Question and two Statements given below:
Question : What is the age of Manisha?
Statement-1: Manisha is 24 years younger than her mother.
Statement-2 : 5 years later, the ages of Manisha and her mother will be in the ratio 3 : 5.
Which one of the following is correct in respect of the Question and the Statements?
