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3. Binary Operations
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Q19 of 123 Page 3

Let * be a binary operation on N given by a * b = HCF (a, b), a, b ∈ N. Write the value of 22 * 4.

The given binary operation is a*b = HCF(a,b)

We have to find the value of 22*4


Applying the relation we have


22*4 = HCF(22,4) = 2


Hence the required solution is 2.


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Let * be a binary operation defined by a * b = 3a + 4b – 2. Find 4 * 5.

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If the binary operation * on the set Z of integers is defined by a * b = a + 3b2, find the value of 2 * 4.

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Let * be a binary operation on set of integers I, defined by a * b = 2a + b –3. Find the value of 3 * 4.

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Questions · 123
3. Binary Operations
1 1 1 1 1 1 1 2 2 2 2 2 2 3 4 5 6 7 8 9 10 1 1 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 9 10 11 12 13 14 1 2 3 4 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 9 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29
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