CAT 2019 Number System Question (Hard)

Question

How many factors of are perfect squares which are greater than 1? TITA

Accepted Answer

Step 1 Prime Factorization Final prime factorized form 2 8 times 3 5 times 5 4 --- Step 2 Conditions for Factors to be Perfect Squares A perfect square factor must have even exponents in its prime factorization. Choices for Exponents Exponent of 2 Can be 0, 2, 4, 6, 8 5 choices Exponent of 3 Can be

CAT 2019

Quantitative

Number System

Hard

How many factors of $2^4 \times 3^5 \times 10^4$ are perfect squares which are greater than 1? [TITA]

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