Question

294 blue balls, 252 pink balls and 215 yellow balls are distributed equally among some students with 5 yellow balls left over .What is the biggest possible number of students? a)126 b)2 c)96 d)42​

Answer 1

Answer:

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

294 blue balls, 252 pink balls and 215 yellow balls are distributed equally among some students with 5 yellow balls left over .What is the biggest possible number of students

a) 126

b) 2

c) 96

d) 42

EVALUATION

Here it is given that 294 blue balls, 252 pink balls and 215 yellow balls are distributed equally among some students with 5 yellow balls left over

So 294 blue balls, 252 pink balls and 210 yellow balls distributed equally among some students with no balls left

Now in order to find the biggest possible number of students we have to find the HCF of 294 , 252 , 210

$\sf{294 = 2 \times 3 \times 7 \times 7}$

$\sf{252 =2 \times 2 \times 3 \times 3\times 7 }$

$\sf{210 = 2 \times 3 \times 5 \times 7}$

So HCF = 2 × 3 × 7 = 42

So the required biggest possible number of students = 42

FINAL ANSWER

Hence the correct option is d) 42

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