Solved UPSC CDS/OTA Question
A solved UPSC CDS/OTA PYQ — decoded step-by-step.
Solve it the standard way once — then learn the shortcut.
Q · LogarithmMedium · 45s
3log₅ + 2log₄ – log 2 = ?
TopicLogarithm
Question Typemultiple choice
DifficultyMedium
Marking+1 / −0.33
Test Duration30 min
Step-by-Step Solution
The complete worked solution.
Every step explained — no skipped algebra.
3log₅ + 2log₄ – log₂
= log₁₂₅ + log₁₆ – log₂
= log(125 × 16)/2 = log₁₀₀₀ = 3
Final Answer: Option D — 1000