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 2 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.
Ravi said:
1 decade ago
Hi friends in the above problem p+r = 60 but many of them take p+q = 60.
Satya said:
9 years ago
I agree with the given answer option D.
Akash said:
9 years ago
Option D is the correct answer.
Anjali said:
9 years ago
Option E is the correct one!
(1)
Hrushikesh rao said:
9 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?
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).
Kayal said:
8 years ago
D is the correct answer.
Dadasaheb maske said:
7 years ago
How S=R-10?
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.
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