Page 2 - Home Assignment Ans

Example: The HCF of 2 and 3 is 1.

(b) The HCF of two consecutive even numbers is 2
Example: The HCF of 2 and 4 is 2.

(c) The HCF of two consecutive odd numbers is 1

Example: The HCF of 3 and 5 is 1.
3. No. The answer is not correct. The correct answer is 1.

4. Given, weight of two bags of fertiliser = 75 kg and 69 kg

Maximum weight = HCF of two bags weight i.e (75, 69)

75 = 3 × 5 × 5
69 = 3 × 23

HCF = 3

Hence, 3 kg is the maximum value of weight which can measure the weight of the
fertiliser exact number of times.

5. HCF of 403, 434, 465 = Maximum capacity of tanker required

403 = 13 × 31
434 = 2 × 7 × 31

465 = 3 × 5 × 31

HCF = 31
Hence, a container of 31 litres can measure the diesel of the three containers exact
number of times.