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Q.

Let A=2,3,4,5......,30and “≃” be an  equivalence relation on A×Adefined by (a,b)≃(c,d),          if and only if ad=bc .Then the number of ordered pairs which satisfy this equivalence relation with ordered pair4,3 is equal to:

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a

6

b

5

c

7

d

8

answer is C.

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Detailed Solution

(a,b)R(c,d)⇒ad=bc∴(a,b)R(4,3)⇒3a=4b∴(a,b)=(4,3),(8,6),(12,9),(16,12),(20,15)(24,18),(28,21)Total ordered pairs is 7
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