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.
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.
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.
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.
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).
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)
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)
Khadar Baba said:
8 years ago
From statement 1, P+R = 60.
& statement 2, S = R-10.
Given, P+Q+R+S=120
From st 1, 60+Q+S=120;
Q+S=60.
From st 2, S=R-10;
Q+R-10=60;
Q+R=70.
WE CAN'T PROCEED FURTHER.
SO, OPTION IS (E).
& statement 2, S = R-10.
Given, P+Q+R+S=120
From st 1, 60+Q+S=120;
Q+S=60.
From st 2, S=R-10;
Q+R-10=60;
Q+R=70.
WE CAN'T PROCEED FURTHER.
SO, OPTION IS (E).
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.
Naren Ghosh said:
7 years ago
There is, P+Q+R+S=120 ---> (1)
P+R=60 ---> (2)
S=(R"10) ---> (3)
From 1),2),3) we can't find R because there is an error in this assumption, that's Q. So option (D) is correct.
P+R=60 ---> (2)
S=(R"10) ---> (3)
From 1),2),3) we can't find R because there is an error in this assumption, that's Q. So option (D) is correct.
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.
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)
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.
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.
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
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