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Data Sufficiency Age Problem

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Concept Explanation

Data Sufficiency Age Problem

Data Sufficiency : Data sufficiency is a part of Logical reasoning. It must be noted that other reasoning concepts are used to form data sufficiency questions.

Data Sufficiency Age Related Problems : Problems on ages along with data sufficiency is a common topic from which questions are asked in almost all competitive exams.

Important Formulas : Given below are a few formulas related to the Problems on ages which will help to answer the questions in a faster way:

If you are assuming the current age to be x, then the age after n years will be (x+n) years.

If you are assuming the current age to be x, then the age before n years will be (x-n) years.

If the age is given in the form of a ratio, for example, p:q, then the age shall be considered as qx and px , where x is the common factor

If you are assuming the current age to be x, then n times the current age will be (x×n) years

If you are assuming the current age to be x, then 1/n of the age shall be equal to (x/n) years

Directions : Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.

(a) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question

(b) If the data is statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question

(d) If the data given in both statements I and II together are not sufficient to answer the question; and

(e) If the data in both statements I and II together are necessary to answer the question.

Question : Read both the statement and give answer. What is Gagan's age ?

I. Gagan, Vinnal and Kunal are all of the same age.

II. Total age of Vinal, Kunal and Anil is 32 years and Anil is as old as Vinal and Kunal together.

Solution : (e) :

Answer :

According to statement 1 : we have G = V = K,

According to statement 2 : we have V + K + A = 32 and A = V + K.

Now using both the equations:

Putting V + K = A in V + K + A = 32, we have :

A + A = 32

or 2A = 32, A = 16 years

Now, V + K = A

V + K = 16 and V = K from statement 1.

Now, 2V = 16, V = 8 = K.

Thus G is also equal to 8, according to statement 1.

Sample Questions

(More Questions for each concept available in Login)

Question : 1

In the following problems, there is one question and two statements I and II given below the question. You have to decide whether the data given in the statements is sufficient to answer the question. Read all the statements carefully and find which of the statements is/are sufficient to answer the given question. Choose the correct alternative in each question. Question: After 5 years, what will the sum of the age of Moni and Soni? Statement I : 5 years before, Moni was 5 years older than Soni. Statement II : At present, the ratio of their ages is 5 : 6.
A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.		B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. The data in both the statements I and II is not sufficient to answer the question.		D. The data in both the statements I and II together is necessary to answer the question.
Right Option : D
View Explanation

Question : 2

In the following problems, there is one question and two statements I and II given below the question. You have to decide whether the data given in the statements is sufficient to answer the question. Read all the statements carefully and find which of the statements is/are sufficient to answer the given question. Choose the correct alternative in each question. What is the ratio between the ages of mother and the son? I) The sum of their ages is ages is 50 years. II) 3 times the sum of their ages is equal to 5 times the mother's age.
A. I) alone sufficient while II) alone not sufficient		B. II) alone sufficient while I) alone not sufficient
C. Either I) or II) alone sufficient		D. Both I) and II) are necessary
Right Option : D
View Explanation

Question : 3

In the following problems, there is one question and two statements I and II given below the question. You have to decide whether the data given in the statements is sufficient to answer the question. Read all the statements carefully and find which of the statements is/are sufficient to answer the given question. Choose the correct alternative in each question. Question: What is the present age of Rahul? I. At the time of marriage Rahul's age was 25 years. II. The average age of Rahul and Rahul's wife at the time of marriage was 24 years. III. The difference between the present ages of Rahul and his son is 24 years.
A. The data in statements I alone is sufficient to answer the question, while the data in statement II and III is not sufficient to answer the question.		B. The data in statements II alone is sufficient to answer the question, while the data in statement I and III is not sufficient to answer the question.
C. The data in statements I alone or in statement II alone or in statement III alone is sufficient to answer the question.		D. The data in all the statements I, II and III is not sufficient to answer the question.
Right Option : D
View Explanation