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Question

If P:Q=35:57.Q:R=34:25 then what is P:Q:R equal to?

A
35:57:25
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B
920:1528:27
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C
35:34:25
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D
35:57:34
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Solution

The correct option is B 920:1528:27
P:Q=35:57=(21:25)×3=63:75
Q:R=34:25=(15:8)×5=75:40
P:Q:R=63:75:40
Let us check options one by one.
(a) (35:57:25)×35[LCM of 5,7,5 is 35]
21:25:14 [not correct]
(b) (920:1528:27)×140 [LCM of 20,28,7 is 140]
=63:75:40
This matches what we obtained above.
Hence option (b) is correct.

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