Statements:
I. Rahul was born when his father was 33 years old.
II. Rahul is 29 years younger than his mother.
Both statements I and II together are NOT sufficient to answer the question
Evaluating Data Sufficiency for Rahul's Age
The question asks us to determine Rahul's current age in years based on two given statements.
Analysis of Statement I
Statement I says: Rahul was born when his father was 33 years old.
This tells us the age difference between Rahul's father and Rahul. If we let $R$ represent Rahul's current age and $F$ represent his father's current age, then the father was 33 years old when Rahul was born (age 0). This implies:
$ F = R + 33 $
Or, rearranging to find Rahul's age:
$ R = F - 33 $
However, we do not know the father's current age ($F$). Therefore, Statement I alone is not sufficient to find Rahul's age.
Analysis of Statement II
Statement II says: Rahul is 29 years younger than his mother.
This tells us the age difference between Rahul's mother and Rahul. If we let $M$ represent his mother's current age, this statement means:
$ M = R + 29 $
Or, rearranging to find Rahul's age:
$ R = M - 29 $
Similar to Statement I, we do not know the mother's current age ($M$). Therefore, Statement II alone is not sufficient to find Rahul's age.
Analysis of Both Statements Together
Now, let's consider both statements together:
- From Statement I: $ R = F - 33 $
- From Statement II: $ R = M - 29 $
We have two equations but three unknowns ($R$, $F$, $M$). To find Rahul's age ($R$), we would need the current age of either his father ($F$) or his mother ($M$). Since we don't have either of those values, even combining both statements does not give us enough information to calculate Rahul's exact age.
Conclusion
Therefore, both statements I and II together are NOT sufficient to answer the question about Rahul's age.
Important Questions from Data Sufficiency
Which of the following statement is correct?
I. The value of 1002 - 992 + 982 - 972 + 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 \(k^{16}- \frac{1}{k^{16}}\).
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.
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.
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.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.
