search
Log In
6 votes
1.3k views

Three sisters $(R, S,$ and $T)$ received a total of $24$ toys during Christmas. The toys were initially divided among them in a certain proportion. Subsequently, $R$ gave some toys to $S$ which doubled the share of $S$. Then $S$ in turn gave some of her toys to $T$, which doubled $T’$s share. Next, some of $T’$s toys were given to $R$, which doubled the number of toys that $R$ currently had. As a result of all such exchanges, the three sisters were left with equal number of toys. How many toys did $R$ have originally?

  1. $8$
  2. $9$
  3. $11$
  4. $12$
in Quantitative Aptitude
edited by
1.3k views
1
Try to solve it in reverse direction.
4
from equations it will not take more than 2 min

 

r   s    t

2(r-s)=8  , 2s-t=8, 2t-(r-s)=8

solving these , r=11, s=7 t=6
7
Initially :- r:s:t
r-s : 2s : t
r-s : 2s-t : 2t
2(r-s) : 2s-t : 2t - (r-s)
Now, all have same number of toys = 24/3 = 8
2(r-s) = 2s-t = 2t -(r-s) = 8
Solving these, r=11, s=7, t=6
0
thanks Sir ji :)

1 Answer

20 votes
 
Best answer
We can proceed in reverse order:

$R\quad  S\quad  T$
$8\quad  8\quad   8$

and apply the given steps in reverse. We will get,

$R\quad  S\quad  T$
$4 \quad 8 \quad 12$
$4 \quad 14 \quad 6$
$11  \quad 7 \quad  6$

Correct Answer: $C$

edited by
0
Nice
0
I didn’t get it. Please explain anyone

Even 1    9   14   

          1  16    7

           9   8    7

satisfies so 9 can be answer too.
Answer:

Related questions

1 vote
1 answer
1
389 views
In order to develop to full potential, a baby needs to be physically able to respond to the environment. It can be inferred from the passage that Full physical potential is needed in order for a baby to be able to respond to the environment. It is necessary ... to be developed to its full potential. A physically able baby needs to develop its full potential in order to respond to its environment.
asked Feb 16, 2016 in Verbal Aptitude Akash Kanase 389 views
5 votes
1 answer
2
715 views
The quality of services delivered by a company consists of six factors as shown below in the radar diagram. The dots in the figure indicate the score for each factor on a scale of $0$ to $10.$ The standardized coefficient for each factor is given in the parentheses. The contribution ... all the above factors to the overall quality of services delivered by the company is $10\%$ $20\%$ $24\%$ $40\%$
asked Feb 16, 2016 in Quantitative Aptitude Akash Kanase 715 views
10 votes
4 answers
3
1.6k views
In a class of $300$ students in an M.Tech programme, each student is required to take at least one subject from the following three: M600: Advanced Engineering Mathematics C600: Computational Methods for Engineers E600: Experimental Techniques for Engineers The registration data for the ... possible number of students in the class who have taken all the above three subjects? $20$ $30$ $40$ $50$
asked Feb 16, 2016 in Quantitative Aptitude Akash Kanase 1.6k views
1 vote
2 answers
4
505 views
The number of solutions for the following system of inequalities is $X_1≥ 0$ $X_2 ≥ 0$ $X_1+ X_2 ≤ 10$ $2X_1+ 2X_2 ≥ 22$ $0$ infinite $1$ $2$
asked Feb 16, 2016 in Quantitative Aptitude Akash Kanase 505 views
...