Verified by Ajay Kumar
If p: q: r = 1: 3: 4 and 2p + q + 3r = 51, find the value of r.
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16
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12
Answer: D
Solution: Let p = x, q = 3x, and r = 4x. Substituting, \(2x+3x+3(4x)=51\Rightarrow17x=51\Rightarrow x=3\). Therefore, \(r=4x=4\times3=12\). Trick: Express all three variables using a common multiplier of their ratio.
यदि p: q: r = 1: 3: 4 और 2p + q + 3r = 51 है, तो r का मान ज्ञात कीजिए।
20
16
24
12
उत्तर: D
हल: p = x, q = 3x और r = 4x मानें। रखने पर \(2x+3x+3(4x)=51\Rightarrow17x=51\Rightarrow x=3\)। इसलिए \(r=4x=4\times3=12\)। ट्रिक: तीनों चरों को उनके अनुपात के एक समान गुणक के रूप में लिखें।
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