19. The least perfect square which ...
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19. The least perfect square which is divisible by each of 21, 36 and 66 is (1) 214344 (2) 214434 (3) 213444 (4) 231444

11th - 12th Class
Maths
Solution
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( 21=7 times 3 ) 19. ( (3) because quad 21=1 ). ( quad 66=3 times 2 times 11 ) ( 36=3 times 3 times 2 times 2 ) and ( therefore angle C M ) of 21,36 and 66 ( =3 times 3 times 2 times 2 times 7 times 11 ) Hence, required perfect square number ( =3 times 3 times 2 times 2 times 7 times 7 times 11 times 11 ) ( =9 times 4 times 49 times 121 ) ( =36 times 49 times 121=213444 )
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