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Math Prepare Practice Online Practice Test >Ratio and Proportion « PreviousNext » If a carton containing a dozen mirror is dropped, which of the following cannot be the ratio of broken mirrors to unbroken mirrors? Options - 2: 6 - 1:2 - 3:2 - 2:5 CORRECT ANSWER : 3:2 Discussion Board answer breakup both C & D are the answers. To get the whole number(because broken/unbroken glasses can''''t be the fraction, they vary from 1-12), the sum of ratios must be the factor of 12. since a & b are factors of 12 and c & d are not factors of 12. the answer is both C & D Vinay L 02-6-2021 03:54 AM Answer 12 mirrors ( broken : b unbroken : u ) The k technique is very useful here! (A) b =2k u= 6k ; Can you write b = k and u = 3k (k >= 1) k+3k = 4 k => 4k = 12, => k= 3 -------------Workable (B) b =k u= 2k ; (k >= 1) i.e k+2k = 3k => 3k = 12, => k= 4 -------------Workable (C) b =3k u= 2k ; (k =3k-2k >= 1) i.e 3k+2k = 5k => 5k = 12, => k= 12/5 ------------- Not Workable (D)b=2k u =5k; (k=2k-5k >=1) ------ wrong The correct answer is therefore (C). Parth 01-17-2024 03:27 AM

answer breakup both C & D are the answers. To get the whole number(because broken/unbroken glasses can''t be the fraction, they vary from 1-12), the sum of ratios must be the factor of 12. since a & b are factors of 12 and c & d are not factors of 12. the answer is both C & D Vinay L 02-6-2021 03:54 AM

Answer 12 mirrors ( broken : b unbroken : u ) The k technique is very useful here! (A) b =2k u= 6k ; Can you write b = k and u = 3k (k >= 1) k+3k = 4 k => 4k = 12, => k= 3 -------------Workable (B) b =k u= 2k ; (k >= 1) i.e k+2k = 3k => 3k = 12, => k= 4 -------------Workable (C) b =3k u= 2k ; (k =3k-2k >= 1) i.e 3k+2k = 5k => 5k = 12, => k= 12/5 ------------- Not Workable (D)b=2k u =5k; (k=2k-5k >=1) ------ wrong The correct answer is therefore (C). Aditya Raj 06-26-2019 06:06 AM

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