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What will be the largest number that divides 100 and 25, and leaves 3 as remainder in each case?(a) 7(b) 5(c) 1(d) 4This question was posed to me in an online quiz.The doubt is from Real Numbers in portion Real Numbers of Mathematics – Class 10

Answer»

Right answer is (c) 1

The best I can explain: The required NUMBER divides (100-3) i.e. 97 and (25-3) i.e. 22 exactly.

Now, 97 = 97 × 1 and 22 = 2 × 11

HCF of 97 and 22 is 1.

Hence, the required number is 1.



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