NIMCET 2022 — Reasoning PYQ

To solve this problem, we first determine the production rate of a single machine.

1. Calculate the rate per machine

If $6$ machines produce $270$ bottles per minute, then $1$ machine produces:

$$\text{Rate per machine}=\frac{270}{6}=45\text{ bottles per minute}$$

2. Calculate the production for 10 machines

Since one machine produces $45$ bottles per minute, $10$ machines will produce:

$$10\text{ machines}\times 45\text{ bottles/min}=450\text{ bottles per minute}$$

3. Calculate the total production in 4 minutes

Finally, for a duration of $4$ minutes, the total production is:

$$\text{Total bottles}=450\text{ bottles/min}\times 4\text{ min}=1800\text{ bottles}$$

Correct Option: D) $1800$