NIMCET 2026 — Reasoning PYQ

To find the number of cat owners, we define the variables based on the provided data:

• Let $C$ be the number of cat owners.

• Let $D$ be the number of dog owners, which is given as $1001$.

• The number of people who own both a cat and a dog is denoted by $(C\cap D)$.

Step 1: Calculate the number of people who own both

We are told that 20% of dog owners also own a cat.

$$(C\cap D)=20\%\text{ of }D=0.20\times 1001=200.2$$

Step 2: Relate this to cat owners

The problem also states that 70% of cat owners own a dog.

$$(C\cap D)=70\%\text{ of }C=0.70\times C$$

Step 3: Solve for C

Equating the two expressions for the number of people who own both:

$$0.70\times C=200.2$$

$$C=\frac{200.2}{0.70}$$

$$C=286$$

Conclusion:

There are 286 cat owners. This corresponds to option 2.