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CAT 2025 Question Paper | Quant Slot 2

CAT Previous Year Paper | CAT Quant Questions | Question 11

CAT 2025 Quant was dominated by Algebra followed by Arithmetic. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 11 : The number of divisors of \( \left( 2 ^ { 6 } \times 3 ^ { 5 } \times 5 ^ { 3 } \times 7 ^ { 2 } \right) \), which are of the form \( ( 3 r + 1 ) \), where \( r \) is a non-negative integer, is

  1. \( 42 \)
  2. \( 36 \)
  3. \( 56 \)
  4. \( 24 \)

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The question is " The number of divisors of \( \left( 2 ^ { 6 } \times 3 ^ { 5 } \times 5 ^ { 3 } \times 7 ^ { 2 } \right) \), which are of the form \( ( 3 r + 1 ) \), where \( r \) is a non-negative integer, is "

Hence, the answer is '\( 42 \)'

Choice 1 is the correct answer.

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