Sunday, May 25, 2014

CAT 2014 : Number Systems - Questions that have appeared in Previous CAT Papers.


In Today's post, we try to look at 3 problems that have appeared in past CAT papers, and provide clues to solve them.

The complete solution will be available in our next post.

  1. If x = -0.5, which of the following has the smallest value?
    21/x , 1/x, 1/x2, 2x, 1/√-x 
  2. Which among the following is the largest?
    21/2, 31/3, 41/4, 61/6, 121/12
  3.  How many 2 digit numbers increase by 18 when the digits are reversed?

Hints:
  1. A positive number raised to any real number will always be positive. For eg, 4-1/10 will be greater than 0.
  2.  Convert all numbers to have the same exponent. Then compare the numbers.
  3. Let the number have digits a,b. Original number is 10a+b, reversed is 10b+a. Take the difference and try to solve it :)
For comprehensive CAT Prep, click here.

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  10. This is one of the clearest explanations I’ve read on number systems. The detailed breakdown and examples make the concepts so much easier to understand for CAT preparation.

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  11. Really helpful post! The step-by-step approach to number systems is perfect for revising fundamentals and building confidence for quantitative aptitude sections.

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  12. Really enjoyed how clearly you broke down these CAT number system problems. The little hints you added make the concepts feel much less intimidating, especially the one about converting to the same exponent. While practicing similar questions, I realized how much these small tricks speed things up. By the way, I came across Winadda recently while searching for more math resources—surprisingly helpful in staying consistent.

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  13. Really enjoyed this breakdown of classic CAT number system questions. The hints are super helpful, especially the one about converting powers to the same exponent — it makes comparisons so much clearer. I tried solving the reversed-digits question before checking the clue and it was a fun little exercise. Came across something similar while browsing fairdeal the other day. Looking forward to the full solutions in the next post!

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  14. Really enjoyed this post—refreshing to see CAT basics broken down so simply. These hints actually reminded me why practicing number systems consistently matters. The reversed-digits question is a classic, but your explanation makes it feel much easier to approach. While reading, I was juggling a few tabs, including my99exch, and somehow the mental break helped me refocus. Looking forward to the next post with full solutions!

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  15. Nice set of CAT number system questions! The hints you added actually make the approach a lot clearer, especially the part about converting exponents before comparing values. It’s always these small insights that save time during the exam. I recently came across a similar discussion on 11exch where people shared quick mental tricks. Looking forward to your next post with the full solutions!

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