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

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 statement: are sufficient to answer the question. Read both the statements and give answer ments Question : - When is Manohar's birthday this year ? I. It is between January 13 and 15, January 13 being Wednesday II. It is not on Friday.
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 in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
C. If the data either in statement I alone or in statement II alone are sufficient to answer the question.
D. If the data given in both statements I and II together are not sufficient to answer the question.
Right Option : A
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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. Question: What is Ravi's present age? 1. The present age of Ravi is half of that of his father. 2. After 5 years, the ratio of Ravi's age to that of his father's age will be 6 : 11. 3. Ravi is 5 years younger than his brother.
A. I only		B. I and II only
C. I and III only		D. II and III only
Right Option : B
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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. At present, the age of A is 1/3rd of the age of B then what are their ages? Statement I : After 10 years, the ratio of their ages will become 5 : 11. Statement II : 5 years age, the age of A was 25% of the age of B.
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. Either Statement I or Statement II alone is sufficient to answer the question		D. The data in both the statements I and II is not sufficient to answer the question.
Right Option : C
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