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 2 of 3.

Anjali said:   9 years ago
Option E is the correct one!
(1)

Akash said:   9 years ago
Option D is the correct answer.

Satya said:   9 years ago
I agree with the given answer option D.

Ravi said:   1 decade ago
Hi friends in the above problem p+r = 60 but many of them take p+q = 60.

Ankit Jain said:   1 decade ago
I think R age 35 is correct i.e option A is Suffitant. I know this is assumption, but if follow the given statement, I have found my answer.

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.

If, I am wrong then define the assumption, meaning.

SHYLAJA said:   1 decade ago
P+Q+R+S = 30*4.
P+Q+R+S = 120.

Given in stmt I P+Q = 60.
Hence R+S=60.

GIVEN IN STATEMENT II.
S = (R-10).

NOW R+(R-10) = 60.

2R-10 = 60.

2R = 70.

R = 35.

HENCE E IS CORRECT OPTION.

Pradheeba said:   1 decade ago
I think sandeep is correct. Raji said r+s=60. how its possible?

Ash said:   1 decade ago
How 35?

Raji said:   1 decade ago
See here theme of the concept is whether you can find the ans frm given thesis and ofcourse u can so frm 3 statements we can clearly understand that p+q=60 and p+q+r+s=120 so r+s=60and given 3rd st as s=r-10 and fr this we can find r-s=10 so solving both we get r=35. So answer is option E.

Pritymoy said:   1 decade ago
Sandeep is right.

Sonal and sandip are both fail to understand the assumptions.


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