m ഉം n ഉം പോസിറ്റീവ് പൂർണ്ണസംഖ്യകളും 4m + 9n 11 ൻ്റെ ഗുണിതവുമാണെങ്കിൽ, ഇനിപ്പറയുന്നവയിൽ ഏതാണ് 11 ൻ്റെ ഗുണിതം?

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If m and n are positive integers and 4m + 9n is a multiple of 11, which of the following is also a multiple of 11?

A2m+ 3n

B2m + 5n

C3m + 4n

Dm + n + 11

Answer:

C. 3m + 4n

Read Explanation:

4m + 9n is multiple of 11 4m + 9n = 11x 9n = 11x - 4m n = (11x - 4m)/9 Consider 3m + 4n = 3m + 4{(11x - 4m)/9} = 3m + (44x - 16m)/9 = (27m + 44x - 16m)/9 = (11m + 44x)/9 = 11(m + 4x)/9 = Multiple of 11

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