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    Quant Primer

    • Mission IIMpossible 2021 - Quant Study Plan For Your MBA Admission Tests
      • mbatious  

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      Number Theory : Topic Tests Question Bank - Number Theory CAT Level Question Bank - Co Primes
    • Hate using Quadratic Formula ? This could help!
      theory of equations • • zabeer  

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      Gyan Room - Modern Math - Concepts & Shortcuts
      mission iimpossible • • Mission IIMpossible  

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      Shortcut for Finding the Rank Of A Word
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      Gyan Room : Arithmetic - Concepts & Shortcuts
      mission iimpossible • • Mission IIMpossible  

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      If two objects A and B start simultaneously from opposite points and, after meeting, reach their destinations in ‘a’ and ‘b’ hours respectively (i.e. A takes ‘a hrs’ to travel from the meeting point to his destination and B takes ‘b hrs’ to travel from the meeting point to his destination), then the ratio of their speeds is given by:Sa/Sb = √(b/a) i.e. Ratio of speeds is given by the square root of the inverse ratio of time taken. Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. If the train A travels at 80kmph, find the rate at which the train B runs. Sa/Sb = √(4/9) = 2/3This gives us that the ratio of the speed of A : speed of B as 2 : 3.Since speed of A is 80 kmph, speed of B must be 80 * (3/2) = 120 kmph A and B start from Opladen and Cologne respectively at the same time and travel towards each other at constant speeds along the same route. After meeting at a point between Opladen and Cologne, A and B proceed to their destinations of Cologne and Opladen respectively. A reaches Cologne 40 minutes after the two meet and B reaches Opladen 90 minutes after their meeting. How long did A take to cover the distance between Opladen and Cologne? Sa/Sb = sqrt(90/40) = 3/2 This gives us that the ratio of the speed of A : speed of B as 3:2. We know that time taken is inversely proportional to speed. If ratio of speed of A and B is 3:2, the time taken to travel the same distance will be in the ratio 2:3. Therefore, since B takes 90 mins to travel from the meeting point to Opladen, A must have taken 60 (= 90*2/3) mins to travel from Opladen to the meeting point(adsbygoogle = window.adsbygoogle || []).push({}); So time taken by A to travel from Opladen to Cologne must be 60 + 40 mins = 1 hr 40 mins [Credits: Veritasprep]
    • Installments – Various Cases and Questions including Simple and Compound Interest
      simple & compound interest • • handakafunda  

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    • Simple Interest and Compound Interest – Basic Concepts and Tricks for solving CAT Questions
      simple & compound interest • • handakafunda  

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    • Mixtures & Alligations Concepts for CAT
      mixture & alligation • • handakafunda  

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    • Profit and Loss – Basic Concepts for CAT Preparation
      profit & loss • • handakafunda  

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    • Dealing with Percentage – Ravi Handa
      percentage • • handakafunda  

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      Gyan Room - Number Theory - Concepts & Shortcuts
      mission iimpossible • • Mission IIMpossible  

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      Kaprekar's constant 6174 is known as Kaprekar's constant. Take any four-digit number, using at least two different digits. (Leading zeros are allowed.)Arrange the digits in descending and then in ascending order to get two four-digit numbers, adding leading zeros if necessary.Subtract the smaller number from the bigger number.Go back to step 2 and repeat.The above process will always yield 6174, in at most 7 iterations. The only four-digit numbers for which Kaprekar's routine does not reach 6174 are repdigits such as 1111, which give the result 0000 after a single iteration.
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      Gyan Room - Geometry - Concepts & Shortcuts
      mission iimpossible • • Mission IIMpossible  

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      Mass point Geometry lecture - @gaurav_sharma
    • Time, Speed & Distance Concepts & Solved Examples for CAT - Nitin Gupta, AlphaNumeric (Part 2/2)
      time speed & distance • • sibanand_pattnaik  

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      Practice Problem - 5 : Seven children A, B, C, D, E, F and G started walking from the same point at the same time, with speeds in the ratio of 1 : 2 : 3 : 4 : 5 : 6 : 7 respectively and they are running around a circular park. Each of them carry flags of different colours and whenever two or more children meet, they place their respective flag at that point. However nobody places more than 1 flag at a same point. They are running in anti-clockwise direction. How many flags will be there in total, when there will be no scope of putting more flags? Solution : When running in the same direction : If the ratio of speeds of two athletes (in the most reducible form) is a : b, the number of distinct meeting points on the track would be would be |a – b| A and B will meet at |1 - 2| = 1 point.A and C will meet at |1 - 3| = 2 pointsA and D will meet at |1 - 4| = 3 pointsA and E will meet at |1 - 5| = 4 pointsA and F will meet at |1 - 6| = 5 pointsA and G will meet at |1 - 7| = 6 pointsSo A will put 1 + 2 + 3 + 4 + 5 + 6 = 21 flags. similarly B and C will meet at |2 - 3| = 1 pointB and D will meet at |2 - 4| = 2 pointsB and E will meet at |2 - 5| = 3 pointsB and F will meet at |2 - 6| = 4 pointsB and G will meet at |2 - 7| = 5 pointsSo B will put 1 + 2 + 3 + 4 + 5 = 15 flags Similarly find for C, D, E and F. We will get 21 + 15 + 10 + 6 + 3 + 1 = 56 flags
    • Sequence & Series Concepts & Solved Examples for CAT - Nitin Gupta, AlphaNumeric
      sequence & series • • sibanand_pattnaik  

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    • Maxima & Minima Concepts & Solved Examples for CAT - Nitin Gupta, AlphaNumeric
      maxima & minima • • sibanand_pattnaik  

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    • Time, Speed & Distance Concepts & Solved Examples for CAT - Nitin Gupta, AlphaNumeric (Part 1/2)
      time speed & distance • • sibanand_pattnaik  

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    • Conditional Probability & Baye's Theorem - Nitin Gupta, AlphaNumeric (Part 2/2)
      probability • • sibanand_pattnaik  

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    • Probability Concepts & Solved Examples For CAT - Nitin Gupta, AlphaNumeric (Part 1/2)
      probability • • sibanand_pattnaik  

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    • Area Of The Region Bounded By The Curves - Concepts & Shortcuts
      • zabeer  

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    • Finding Number of Positive & Non-Negative Integral Solutions For a + b + c + ... = N & Its Applications
      theory of equations permutation & combination • • zabeer  

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    • Permutations & Combinations - Nikhil Goyal
      permutation & combination • • Nikhil Goyal  

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