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. |
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 1 of 3.
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)
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)
Magesh said:
1 decade ago
Correct Ans is E as discussed above
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)
p+q=60.....(1)
s=r-10......(2)
so,60+r+(r-10)=120
=>r=35....so,correct ans is (E)
Shyam said:
1 decade ago
How? I can't get.
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
Pritymoy said:
1 decade ago
Sandeep is right.
Sonal and sandip are both fail to understand the assumptions.
Sonal and sandip are both fail to understand the assumptions.
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.
Ash said:
1 decade ago
How 35?
Pradheeba said:
1 decade ago
I think sandeep is correct. Raji said r+s=60. how its possible?
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.
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.
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