Aptitude - Average - Discussion

Discussion Forum : Average - Data Sufficiency 1 (Q.No. 1)
Directions to Solve

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

  • Give answer (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.
  • Give answer (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.
  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.

1.

The average age of P, Q, R and S is 30 years. How old is R?

I. 

The sum of ages of P and R is 60 years.

 II. 

S is 10 years younger than R.

I alone sufficient while II alone not sufficient to answer
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: Option
Explanation:

P + Q + R + S = (30 x 4)      P + Q + R + S = 120 .... (i)

 I. P + R = 60 .... (ii)

II. S = (R - 10) .... (iii)

From (i), (ii) and (iii), we cannot find R.

Correct answer is (D)

Discussion:
25 comments Page 3 of 3.

T kishore said:   6 years ago
Here, R may vary from 25, 30, 35 and 40.

If there is Q, then we can define the exact value of R, if not the answer would be an option (D),

Thank you.
(1)

MADAMAN said:   3 years ago
E is the correct answer.
(1)

Rinju said:   3 years ago
The correct answer is E.

The Age of R is 35.
(4)

Vishhnu said:   3 years ago
p+q+r+s=30*4=120 ----> (i)
I. p+r=60 ----> (ii).

II. let age of r be x years then age of s=(x-10) ----> (iii)
Now using all the equations x+(x-10) = 60,
i.e 2x = 70.
x=35.

Hence,age of r=35 yrs and age of s=25 yrs.
Hence from the given options, the correct answer is (E).
(13)

Mithra kumaresan said:   4 months ago
@All.

Here's the explanation for the answer.
p+q+r+s/4 = 30,
p+q+r+s = 120,
p+q = 60,
then r+s = 60,
2r-10 = 60.
r = 35.

Thus option E is correct.


Post your comments here:

Your comments will be displayed after verification.