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Find the largest possible positive integer that will divide 398, 436, and 542 leaving remainder 7, 11, 15 respectively.
(Ans: 17)
Ans: The required number is the HCF of the numbers
Find the HCF of 391, 425 and 527 by Euclid's algorithm
∴ HCF (425, 391) = 17
Now we have to find the HCF of 17 and 527
527 = 17 ? 31 +0
∴ HCF (17,527) = 17
∴ HCF (391, 425 and 527) = 17
Prove that a simple graph is connected if and only if it has a spanning tree. Ans: First assume that a simple graph G has a spanning tree T. T consists of every node of G.
OTHER WAYS TO AID LEARNING : Here we shall pay particular attention to the need for repetition, learning from other children, and utilising errors for learning.
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