search
Log In
Welcome to GO Mechanical, where you can ask questions and receive answers from other members of the community.
1 vote

The number of hens, ducks and goats in farm $P$ are $65,91$ and $169,$ respectively. The total number of hens, ducks and goats in a nearby farm $Q$ is $416.$ The ratio of hens : ducks : goats in farm $Q$ is $5:14:13.$ All the hens, ducks and goats are sent from farm $Q$ to farm $P.$

The new ratio of hens : ducks : goats in farm $P$ is ________

  1. $5:7:13$
  2. $5:14:13$
  3. $10:21:26$
  4. $21:10:26$
in Numerical Ability 1.6k points
recategorized by

1 Answer

0 votes

First we can calculate the number of hens, ducks and goats in farm $Q.$

  • Number of hens in farm $Q = \dfrac{5}{32} \times 416 = 65$
  • Number of ducks in farm $Q = \dfrac{14}{32} \times 416 = 182$
  • Number of goats in farm $Q = \dfrac{13}{32} \times 416 = 169$

Initially, the number of hens, ducks and goats in farm $P$ are $65,91$ and $169$ respectively.

All the hens, ducks, and goats are sent from farm $Q$ to farm $P.$

Therefore, in farm $P,$

  • Number of hens $ = 65 + 65 = 130$
  • Number of ducks $ = 91 + 182 = 273$
  • Number of goats $ = 169 + 169 = 338$

$\therefore$ The required ratio $ = 130:273:338 = 10:21:26$

So, the correct answer is $(C).$

5.7k points 3 6 14
Answer:

Related questions

1 vote
1 answer
In the above figure, $\textsf{O}$ is the center of the circle and, $\textsf{M}$ and $\textsf{N}$ lie on the circle. The area of the right triangle $\textsf{MON}$ is $50\;\text{cm}^{2}$. What is the area of the circle in $\text{cm}^{2}?$ $2\pi$ $50\pi$ $75\pi$ $100\pi$
asked Feb 22 in Numerical Ability gatecse 1.6k points
1 vote
1 answer
Five persons $\text{P, Q, R, S and T}$ are sitting in a row not necessarily in the same order. $Q$ and $R$ are separated by one person, and $S$ should not be seated adjacent to $Q.$ The number of distinct seating arrangements possible is: $4$ $8$ $10$ $16$
asked Feb 22 in Numerical Ability gatecse 1.6k points
1 vote
1 answer
$\begin{array}{|c|c|} \hline \textbf{Company} & \textbf{Ratio} \\\hline C1 & 3:2 \\\hline C2 & 1:4 \\\hline C3 & 5:3 \\\hline C4 & 2:3 \\\hline C5 & 9:1 \\\hline C6 & 3:4 \\\hline\end{array}$ The distribution of employees at the rank ... $\textsf{C2}$ and $\textsf{C5}$ together is ________. $225$ $600$ $1900$ $2500$
asked Feb 22 in Numerical Ability gatecse 1.6k points
1 vote
1 answer
The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is ___________ $\frac{1}{8}$ $\frac{1}{6}$ $\frac{1}{4}$ $\frac{1}{2}$
asked Mar 1 in Numerical Ability jothee 4.9k points
1 vote
1 answer
Five persons $\text{P, Q, R, S}$ and $\text{T}$ are to be seated in a row, all facing the same direction, but not necessarily in the same order. $\text{P}$ and $\text{T}$ cannot be seated at either end of the row. $\text{P}$ should not be seated adjacent ... is to be seated at the second position from the left end of the row. The number of distinct seating arrangements possible is: $2$ $3$ $4$ $5$
asked Mar 1 in Numerical Ability jothee 4.9k points
...