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Aptitude - Average - Discussion

Discussion Forum : Average - Data Sufficiency 1 (Q.No. 1)
Average
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.
Sandeep said:   1 decade ago
Option D is only correct answer not E @sandip and sonal tiwari u both have taken wrong step at assumption I p+r=60
Shyam said:   1 decade ago
How? I can't get.
Sandip said:   1 decade ago
p+q+r+s=30*4

p+q=60.....(1)
s=r-10......(2)

so,60+r+(r-10)=120
=>r=35....so,correct ans is (E)
Magesh said:   1 decade ago
Correct Ans is E as discussed above
Sonal tiwari said:   1 decade 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 correct answer is (E)
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