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Q.

If 1 a : 1 b : 1 c =3:4:5,   then what is a: b: c?


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a

5: 4: 3

b

20: 15: 12

c

9: 12: 15

d

12: 15: 20 

answer is B.

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Detailed Solution

Given,
1 a : 1 b : 1 c =3:4:5  
Applying cross multiplication, we get,
1 a : 1 b : 1 c =3:4:5  
⇒ 1 a : 1 b =3:4 ⇒ 1 a ÷ 1 b = 3 4 ⇒ 1 a × b 1 = 3 4 ⇒ b a = 3 4  
Reciprocating the values, we get,
Question Image Now,
Question ImageQuestion ImageQuestion ImageReciprocating the values, we get,
Question ImageMaking the value of b as equal,
Question Image  ⇒ a b = 20 15  and  b c = 15 12  
⇒a:b=20:15   and b:c=15:12  
⇒a:b:c=20:15:12  .
Thus, if 1 a : 1 b : 1 c =3:4:5   , then a:b:c=20:15:12  ..
Therefore, option 2 is correct.
 
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If 1 a : 1 b : 1 c =3:4:5,   then what is a: b: c?