CAT 2020 Question Paper | Quants Slot 1

CAT Previous Year Paper | CAT Quants Questions | Question 21

Exponents and Logarithms is one of the most commonly tested topics in the CAT exam. Questions from this topic have consistently appeared in every edition of the CAT exam. This question is from Logarithms that tests your understanding of the fundamentals. CAT exam is known to test your basics rather than high funda ideas. With every extra hour you log in for this topic, it becomes exponentially simpler.

Question 21 : If y is a negative number such that 2y2log35 = 5log23, then y equals

  1. log(1/3)
  2. log(1/5)
  3. −log(1/3)
  4. −log(1/5)

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Explanatory Answer

Taking log on both sides
y2log35 log 2 = log23 log 5
Choosing the base to be 3
y2 log35 log32 = log23 log35
y2 log32 = log23 (Cancelling log35)
y2 = log23/log32
y2 = (log23)2
y = - log23 (Given y is a negative number)
y = log2\\frac{1}{3})

The question is "If y is a negative number such that 2y2log35 = 5log23, then y equals"

Hence, the answer is, "log(1/3)"

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