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Question

If CR : RS = 2 : 3 and RS : SD = 5 : 6, then S divides line segment CD in the ratio .

A
5 : 8
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B
18 : 24
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C
25 : 18
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D
5 : 12
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Solution

The correct option is C 25 : 18
Given CR:RS = 2:3 and RS:SD = 5:6
CRRS=23CRRS+1=23+1CR+RSRS=53CSRS=53 (1)SDRS=65 (2)
Dividing equation (1) by (2),
CSSD=2518
Hence S divides the line segment CD in the ratio of 25:18.

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