Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?
[A].
1 year
[B].
2 years
[C].
25 years
[D].
Data inadequate
[E].
None of these
Answer: Option B
Explanation:
Given that:
1. The difference of age b/w R and Q = The difference of age b/w Q and T.
2. Sum of age of R and T is 50 i.e. (R + T) = 50.
Question: R - Q = ?.
Explanation:
R - Q = Q - T
(R + T) = 2Q
Now given that, (R + T) = 50
So, 50 = 2Q and therefore Q = 25.
Question is (R - Q) = ?
Here we know the value(age) of Q (25), but we don't know the age of R.
As it is mentioned that, what is definitely the difference between R and Q's age? So we need to get the exact difference.
Now, answers could be
1)10 and 40 with a difference of 30(40-10)
2)20 and 30 with a difference of 10(30-20)
So, as we can have more than 1 answers, so the definite difference cannot be calculated.
Therefore, the data is inadequate. Ans: D
Niladri Shekhor Hira said:
(Mon, Feb 13, 2012 09:13:32 PM)
I think (E) will be the answer..........
because:
If we let, as per question, the age of T = x
then, Q must be 2x and R must be 3x.
From the question we also get, R+T=50
Now, we have to find R-Q=?
As R+T=50
or, 3x+x=50
or, 4x=50
or, x=50/4
Therefore, the age of R = 3x
= 3 * 50/4
= 37.5
and the age of Q = 2x
=2 * 50/4
=25
Therefore, R - Q = 37.5 - 25 = 12.5 (Answer:E)
Shweta S said:
(Fri, Feb 17, 2012 11:59:40 PM)
It cant be E coz they just mentioned younger and older not the figure like 3 year or 2 years younger... So it cant be E
Deepak Varshney said:
(Sun, Mar 25, 2012 02:38:14 PM)
Let X be the age of Q and Y be the number of years that R and T is older and younger than Q.(as per question)
Therefore the age of R and T be X+Y and X-Y
and we know that R's age +T's age =50
x+y+x-y=50
2x=50
x=25
Therefore, we get the age of Q,but unable to find R and T's age because we cannot get the Y's value by any means.Hence data is inadequate to find the difference b/w R and Q's Age.
Roshan/Dev said:
(Sat, Sep 1, 2012 03:52:02 PM)
Very good sweta and deepak. Excellently fantabulous.
Nitin K said:
(Sat, Oct 13, 2012 01:42:59 AM)
If the diff between ages is same then it has to be
T<Q<R : 24<25<26.
and sum of T & R is 50 as per the data so the difference is 1.
option A is right.
Hassan said:
(Wed, Oct 17, 2012 05:29:36 PM)
@Nitin.
Your wrong because the question just state that Q is as much younger than are as he is older than T, no more explanation to whether this youngness or oldness is by how many years. Thus why, option D is the right answer.
Vishranthee said:
(Sat, Feb 9, 2013 05:06:48 PM)
R=Q-x
Q=T-x
R+T=50
So x(which is the difference between R and Q) is 25.
Neha Dugar said:
(Tue, Mar 12, 2013 12:50:50 PM)
@Vishranthee.
Your answer is wrong.
The correct answer is D.
Now lets have a look,
R-Q=Q-T..........(1)
Then,
It is also given that, R+T=50.......(2)
From equation (1) we get R+T=2Q
that means Q=25.
Again,
We can write R-Q=Q-T.(From equation(1))
=25-T.
But we don't know the value of T.
So the given data is inadequate.
Laxman said:
(Wed, Mar 20, 2013 06:25:49 PM)
Hi friends,
I think answer should be "E" because in last position answer becomes Q=25 AND R+T=50. So, as difference between T,Q and Q,R are same , option may be and should be 25 years each of T and R. So, AS A RESULT difference between R and Q is 0. And answer should be NONE OF THESE.
