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?
Both Statement-1 and Statement-2 are sufficient to answer the Question
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.
Let the age of mother be m and manisha be n
m = n + 24
(m + 5)/(n + 5) = 5/3
(n + 24 + 5)/(n + 5) = 5/3
(n + 29) × 3 = (n + 5) × 5
3 n + 87 = 5 n + 25
2 n = 62
n = 31
So, both the statements 1 and 2 are required to answer the question.
Hence, option 3 is correct.
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?
A company provides three types of discounts one after the other to the customer:
I. 25% and 15%
II. 30% and 10%
III. 35% and 5%
Which will be the best offer for the customer?
