Home
Class 12
MATHS
Let ** be a binary operation on the set ...

Let `**` be a binary operation on the set of natural numbers given by `a**b = L.C.M` of a and b, find `5**7`,

Text Solution

Verified by Experts

The correct Answer is:
`5**7 =` LCM of 5 and `7=35`.
Promotional Banner

Topper's Solved these Questions

  • SUPPLEMENTARY EXAM QUESTION PAPER JULY- 2015

    SUNSTAR PUBLICATION|Exercise PART B (Answer any Ten Questions)|14 Videos
  • SUPPLEMENTARY EXAM QUESTION PAPER JULY- 2015

    SUNSTAR PUBLICATION|Exercise PART - C (Answer any ten questions)|14 Videos
  • SUPPLEMENTARY EXAM QUESTION PAPER JULY -2014

    SUNSTAR PUBLICATION|Exercise PART -E|4 Videos

Similar Questions

Explore conceptually related problems

Number of binary opertions on the set {a,b} are

Let * be a binary operation defined on the set of non-zero rational number, by a**b = (ab)/(4) . Find the identity element.

Let * be a Binary operation on the set Q of rational number's by a * b = (a -b)^(2) . Prove that * is commutative.

Let * be the binary operation on N given by a * b = L.C.M. of a and b. Find 5 * 7.

Let ** be the binary opertion on N given by a **b=L.C.M. of a and b. Find (i) 5 **7, 20 **16 (ii) Is ** commutative ? (iii) Is ** associative ? (iv) Find the identity of ** ? (v) Which elements of N are invertible for the opertion ** ?

Let R be a relation on the set N of natural numbers defined by n\ R\ m iff n divides mdot Then, R is

Let **' be the binary opertion on the set {1,2,3,4,5} defined by a &&' b = H.C.F. of a and b. Is the opertion **' same as the opertion ** defined in above ? Your answer

Let * be a binary operation on N defined by a**b = LCM of a and b. Find 20**16 .

Let * be a binary operation on the set R defined by a ** b = (a + b)/2 . Show that * is commulative but not associative.