Q.

Let  A={2,3,4,5,...30} and ‘s’ be a relation on A×A , define by (a,b)=(c,d)  , if and only if  ad=bc . Then the number of ordered pairs which satisfy this relation with ordered pair  (4,3)  is equal to

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a

8

b

7

c

6

d

5

answer is B.

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Detailed Solution

(a,b)(4,3)3a=4ba/b=4/3 (a,b)Aanda/b=4/3 (a,b)=(4,3)or(8,6)or(12,9),(16,12)or(20,15)or(24,18)or(28,21) The number of required ordered pairs =7

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