Question

When teams of same size are formed from
three groups of 512, 430 and 489 students
separately, 8, 10 and 9 students respectively
are left out. What could be the largest size of
the team ?
(a) 6
(c) 18
(b) 12
(d) 20​

Answer 1

Answer:

12

Step-by-step explanation:

=> Lets subtract 8,10,9 from their respective numbers.

512-8 = 504

430-10= 420

489-9 = 480

ATQ,

All the three groups each with 504, 420 and 480 are subdivided into smaller groups such that each group consists of equal number of people and no more people are left.

So we have to find the HCF of these numbers

2 | 504, 420, 480

2 | 252, 210, 240

3 | 84, 70, 80

84, 70 and 80 don't share a common factor.

Hence HCF = 2 × 2 × 3 = 12

Hope it helps!!!