If a carton containing a dozen glass is dropped, which of the following cannot be the ratio of unbroken glasses to broken glasses?

If a carton containing a dozen glass is dropped, which of the following cannot be the ratio of unbroken glasses to broken glasses?
1). 2 : 1
2). 3 : 1
3). 3 : 2
4). 7 : 5

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Guest · Accepted Answer · 2019-07-01 10:53:01

Let the broken pieces out of 12 be x

⇒ The Glass not broken = (12 - x)

Ratio of Unbroken : Broken = x : (12 - x)

⇒ Now For x = 1 ⇒ Ratio = 1 : 11

⇒ Now For x = 2 ⇒ Ratio = 2 : 10 = 1 : 5

⇒ Now For x = 3 ⇒ Ratio = 3 : 9 = 1 : 3

⇒ Now For x = 4 ⇒ Ratio = 4 : 8 = 1 : 2

⇒ Now For x = 5 ⇒ Ratio = 5 : 7

⇒ Now For x = 6 ⇒ Ratio = 6 : 6 = 1 : 1

⇒ Now For x = 7 ⇒ Ratio = 7 : 5

⇒ Now For x = 8 ⇒ Ratio = 8 : 4 = 2 : 1

⇒ Now For x = 9 ⇒ Ratio = 9 : 3 = 3 : 1

⇒ Now For x = 10 ⇒ Ratio = 10 : 2 = 5 : 1

⇒ Now For x = 11 ⇒ Ratio = 11 : 1

Clearly on comparing various ratios we find that ratio which is not possible is 3 : 2

If a carton containing a dozen glass is dropped, which of the following cannot be the ratio of unbroken glasses to broken glasses?

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