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.
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.
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)
Rinju said:
3 years ago
The correct answer is E.
The Age of R is 35.
The Age of R is 35.
(4)
MADAMAN said:
3 years ago
E is the correct answer.
(1)
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)
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.
Dadasaheb maske said:
7 years ago
How S=R-10?
Kayal said:
8 years ago
D is the correct answer.
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).
Hrushikesh rao said:
8 years ago
Without Q, We can't find R.
I think it's option E.
But how r=35?
I think it's option E.
But how r=35?
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