Question

There are 312, 260 and 156 students in class X, XI and XII respectively. Buses are to be hired to take these students to a picnic. Find the maximum number of students who can sit in a bus if each bus takes equal number of students
(a) 52
(b) 56
(c) 48
(d) 63​

Answer 1

Answer:

(a)52

Step-by-step explanation:

To find the maximum number of students that can sit in a bus, we need to find the HCF of the number of class X, class XI and class XII students.

Prime Factors of 312 = 2×2×2×3×13

Prime Factors of 260 = 2×2×5×13

Prime Factors of 156 = 2×2×3×13

Common Factors = 2×2×13

HCF = 52

Therefore, the maximum number of students that can sit in one bus.

Answer 2

hcf of 312,260 and 156 =52

maxm no students seating in a buus =52

no of buses required=312+260+156/54=q14