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The age of Ram is twice the age of Shyam and half the age of Sohan, Shyam is elder than Mohan. Who is the eldest?
Ram
Mohan
Sohan
Shyam
None of the above
Sohan
Assign an arbitrary age to Shyam to build a relative hierarchy: if Shyam is 10, Ram is 20, and Sohan is 40. Clearly, the person with the largest multiplier is the eldest.
Assign an arbitrary age to Shyam to build a relative hierarchy: if Shyam is 10, Ram is 20, and Sohan is 40. Clearly, the person with the largest multiplier is the eldest.
Define relationships algebraically
Let Shyam = S. Ram = 2S (since Ram is twice Shyam). Sohan = 2 * Ram = 2 * (2S) = 4S (since Ram is half the age of Sohan, Sohan is double Ram).
Compare all ages
We have: Shyam = S, Ram = 2S, Sohan = 4S. Mohan is younger than Shyam (Mohan < S). Thus, the order is Sohan > Ram > Shyam > Mohan.
A: Ram is only 2S, which is less than Sohan's 4S. B: Mohan is younger than Shyam, who is already younger than Ram and Sohan. D: Shyam is 2S, while Sohan is 4S, making Shyam younger.
C is correct because the hierarchy established by the age relationships confirms that Sohan (4S) is the eldest among the group.
When comparing multiple variables, convert them all into terms of a single variable (the youngest or a common reference) to eliminate confusion instantly.
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