# Let ∗′ be the binary operation on the set {1, 2, 3, 4, 5} defined by a ∗′ b = H.C.F. of a and b. Is the operation ∗′ same as the operation ∗ defined in Exercise 4 above? Justify your answer

**Solution:**

The binary operation on the set {1, 2, 3, 4, 5} is defined by

a *' b = H.C.F. of a and b.

The operation table for the operation *' can be given as:

*' | 1 | 2 | 3 | 4 | 5 |

1 | 1 | 1 | 1 | 1 | 1 |

2 | 1 | 2 | 1 | 2 | 1 |

3 | 1 | 1 | 3 | 1 | 1 |

4 | 1 | 2 | 1 | 4 | 1 |

5 | 1 | 1 | 1 | 1 | 5 |

The operation table for the operations *' and * are the same. operation *' is the same as operation *

NCERT Solutions for Class 12 Maths - Chapter 1 Exercise 1.4 Question 5

## Let ∗′ be the binary operation on the set {1, 2, 3, 4, 5} defined by a ∗′ b = H.C.F. of a and b. Is the operation ∗′ same as the operation ∗ defined in Exercise 4 above? Justify your answer

**Summary:**

The binary operation on the set {1, 2, 3, 4, 5} is defined by a *' b = H.C.F. of a and b. The operation table for the operations *' and * are the same. operation *' is the same as operation *

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