Question

there are 156, 208 and 260 students in a group A, B, C respectively buses are to be hired to take them for a field trip find the maximum number of buses to be hired if the same number of students should be accommodated in each bus

Answer 1

13×12 , 13×16 , 13×20
so maximum no is hcf
that is 13

Answer 2

☘️ Given :

Number of students in group A = 156

Number of students in group B = 208

Number of students in group C = 260

Maximum number of buses to be hired = ?

☘️ Solution :

To find the maximum number of buses to be hired we will first find the H.C.F.

Using prime factorisation :

156 = 2² × 3 × 13

208 = 2⁴ × 13

260 = 2² × 5 × 13

H.C.F = 2² × 13 = 52

So, the number of students in per bus = 52 students

Total number of students = 156 + 208 + 260 = 624 students

Total number of buses to be hired if the same number of students should be accommodated in each bus

= 624/52 = 12 buses.

Therefore, the total number of buses to be hired = 12 buses.

☘️ Answer :

• 12 buses.