Required divisor = 3 + 4 – 2 = 5

Let the quotient be Q and the remainder be R. Then

Divisor = 7 Q = 3 R

∴ Divisor = 7 Q = 7 × 12 = 84

Dividend = Divisor × Quotient + Remainder = 84 × 12 + 28 = 1008 + 28 = 1036

Number at (i) = 643 – 175 = 468

Number at (ii) = 1752 – 114 = 1638

Number at (iii) = 1149 – 213 = 936

Clearly, 468, 1638 and 936 are multiples of 234 and 234 > 213.

Divisor = 234

Number at (i) = 643 – 175 = 468

Number at (ii) = 1752 – 114 = 1638

Number at (iii) = 1149 – 213 = 936

Clearly, 468, 1638 and 936 are multiples of 234 and 234 > 213.

Divisor = 234

Let the least number be x

y = 5 × 1 + 3 = 8

x = 13 × 8 + 1 = 105

On dividing 105 by 65, remainder = 40

The remainder will be same.

On dividing 9 by 6, remainder = 3

On dividing 81 by 6, remainder = 3

1. White-bellied Heron naturally inhabits the north-eastern region of India.

2. The bellied Heron is a bird which is mostly found in the low-altitude marshy areas of the Himalayas.

3. It is also called imperial heron in India.

4. In the year 2007, it was listed as 'Critically Endangered' in the Red List of the International Union for Conservation of Nature (IUCN).

1. 'Yakhni', a curd-based gravy dish, is traditionally made in Jammu and Kashmir, India.

2. In India, Yakhni is one of the most popular meat dishes. As -

- Mutton Yakhni: It is a traditional Indian dish made from lamb meat.

- Chicken Yakhni: It is a popular Indian dish made from chicken meat.

- Fish Yakhni: It is a popular Indian dish made from fish meat.

- Vegetable Yakhni: It is a delicious vegetarian dish made from vegetables.