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0 votes
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in Mathematics by (64.7k points)

Let x be the greatest number by which if we divide 366, 513 and 324, then in each case the remainder is the same. The sum of digits of x is : 

(1) 3 

(2) 4 

(3) 5 

(4) 7

1 Answer

+1 vote
by (58.3k points)
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Best answer

Correct option (1) 3   

Explanation:

366 = xq1 + r ---- (1)

513 = xq2 + r ---- (2)

324 = xq3 + r ---- (3)

42 = x (q1 - q3),

147 = x (q2 - q1)

189 = (q2 - q3) x

x is HCF of 42, 147, 189

x = 21

Sum of digits = 2 + 1 = 3

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