Solve the following word problems: 1. Sameer has 465 toffees... 2. A cup is 1/4 full of milk... 3. Ali divide 2 fruit cake equally among 6 persons...

$$\text{Toffees remaining} = 372 - 248 = 124$$

The number of toffees remaining with Sameer is $\boxed{\text{124 toffees}}$.

2. A cup is $1/4$ full of milk. What part of the cup is still to be filled by milk make it full?

$$\text{Part to be filled} = 1 - \frac{1}{4} = \frac{4}{4} - \frac{1}{4} = \frac{3}{4}$$

The part of the cup still to be filled is $\boxed{\frac{3}{4}}$.

3. Ali divide 2 fruit cake equally among 6 persons. What part of the cake he gave to each persons?

$$\text{Part of cake per person} = \frac{2}{6} = \frac{1}{3}$$

Ali gave $\boxed{\frac{1}{3} \text{ of a cake}}$ to each person.

4. Rajesh purchased 2kg 500gms Potatoes, 300 gms of dhania, 6Kg 300gms Onion, 500gm palak & 2Kg 600gms tomatoes. Find the total weight of his Purchases in Kilograms?

$$\text{Potatoes} = 2 \text{ kg } 500 \text{ g} = 2.5 \text{ kg}$$ $$\text{Dhania} = 300 \text{ g} = 0.3 \text{ kg}$$ $$\text{Onion} = 6 \text{ kg } 300 \text{ g} = 6.3 \text{ kg}$$ $$\text{Palak} = 500 \text{ g} = 0.5 \text{ kg}$$ $$\text{Tomatoes} = 2 \text{ kg } 600 \text{ g} = 2.6 \text{ kg}$$

$$\text{Total weight} = 2.5 + 0.3 + 6.3 + 0.5 + 2.6 = 12.2 \text{ kg}$$

The total weight of his purchases is $\boxed{\text{12.2 kg}}$.

5. A rectangle is divided into certain number of equal parts. If 20 of the parts so formed represent the fraction $1/5$, find the number of parts in which the rectangle has been divided?

Set up the proportion.

$$\frac{20}{x} = \frac{1}{5}$$

$$x = 20 \times 5 = 100$$

The rectangle has been divided into $\boxed{\text{100 parts}}$.

6. The food we eat remains in the stomach for a maximum of 4 hours. For what fraction of a day, does it remain there?

$$\text{Fraction} = \frac{1}{6}$$

The food remains in the stomach for $\boxed{\frac{1}{6}}$ of a day.

7. Mr. Rakesh got a job at the age of 23 years & he got retired from the job at the age of 60 years. What fraction of his age till retirement was he in the job?

Rakesh was in the job.

$$\text{Duration in job} = 60 \text{ years} - 23 \text{ years} = 37 \text{ years}$$

Form the fraction.

$$\text{Fraction} = \frac{\text{Duration in job}}{\text{Age till retirement}} = \frac{37}{60}$$

The fraction of his age till retirement that he was in the job is $\boxed{\frac{37}{60}}$.

8. There are 12 dozen egg crates. $7/24$ of them are rotten & $1/3$ of them are to be sent back. How many crates can be used.

(1 dozen = 12)

$$\text{Total crates} = 12 \text{ dozen} \times 12 \text{ crates/dozen} = 144 \text{ crates}$$

$$\text{Usable crates} = 144 - 90 = 54 \text{ crates}$$

The number of crates that can be used is $\boxed{\text{54 crates}}$.

9. Megha read 25 pages of a book containing 200 pages. Lalita read $2/5$ of the same book. Who read less?

Since 25 pages (Megha) < 80 pages (Lalita), Megha read less.
$\boxed{\text{Megha}}$ read less.

10. Kabir exercised for $3/6$ of an hour, while Rohit exercised for $3/4$ of an hour. Who exercised for a longer time?

$$\text{Kabir's time} = \frac{1}{2} \text{ hour} = \frac{2}{4} \text{ hour}$$ $$\text{Rohit's time} = \frac{3}{4} \text{ hour}$$

Since $\frac{3}{4} > \frac{2}{4}$, Rohit exercised for a longer time.
$\boxed{\text{Rohit}}$ exercised for a longer time.