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    Shashank Prabhu

    @shashank_prabhu

    Top scorer in 5 national level aptitude tests including CAT, CET, and IIFT. Director of Learning Roots, a prep institute. A doctor who is saving lives by not practising and a firm believer in the notion 'Hard work won't go unrewarded forever.'

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    • Quant Boosters - Shashank Prabhu, CAT 100 Percentiler - Set 8
      Quant - Boosters • quant - mixed bag • • shashank_prabhu  

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      Can start by understanding that the numbers will be close to the cube root of 190740 which should lie between 50 and 60 (between 125000 and 216000). Can start with the smallest prime numbers and check. It will be satisfied for 53 * 59 * 61. Total of 53 + 59 + 61 = 173.
    • Quant Boosters - Shashank Prabhu, CAT 100 Percentiler - Set 7
      Quant - Boosters • quant - mixed bag • • shashank_prabhu  

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      100 km in 10 hours at 10 km/hr. 50 km in 5 hours covered. 50 km back at 15 km/hr in 10/3 hours. 100 km to be covered in 5/3 hours at 60 km/hr. Increase by 500%
    • Quant Boosters - Shashank Prabhu, CAT 100 Percentiler - Set 6
      Quant - Boosters • quant - mixed bag • • shashank_prabhu  

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      @Naman-Jain-0 Number of ways to get a sum greater than 17 = Total - Number of ways to get a sum lesser than or equal to 17 6 dice and each dice can give 6 options. Total cases = 6^6 Now we will find the number of ways to get a sum lesser than or equal to 17a + b + c + d + e + f ≤ 17a , b, c ... f can take values from 1 to 6 Because of ≤, add a dummy variable. (say, g)so we have a + b + c + d + e + f + g = 17 Now we will discuss a very important point. a, b, c .. f are all natural numbers and for g - 0 is possible. Means this is neither in case 1 or case 2. To resolve this let subtract 1 from a, b, c .. f so that they can be given a value of 0 also. Our equation becomes a + b + c + d + e + f +g = 17 - 6 = 11 Concept : a + b + c ... (k terms) = n has (n + k - 1) C (k - 1) non negative integer solutions Number of ways = (11 + 7 - 1) C (7 - 1) = 17C6 now we have to remove cases where a > 6.say a = A + 6So, A + b + c + d + e + f + g = 11 - 6 = 5Number of ways which a can be higher than 6 (invalid cases for a) = 11C6 ways.6 x 11C6 invalid cases if we include for b, c, d, e and f also. So Final - 17C6 - 6 x 11C6 Now coming back to the original question,Number of ways to get a sum greater than 17 = Total - Number of ways to get a sum lesser than or equal to 17= 6^6 - (17C6 - 6 x 11C6) If you need a clear understanding of this concept, refer the below article. Happy Learning!(adsbygoogle = window.adsbygoogle || []).push({}); Solving Combinatorics Problems Using Stars & Bars Concept
    • Quant Boosters - Shashank Prabhu, CAT 100 Percentiler - Set 5
      Quant - Boosters • quant - mixed bag • • shashank_prabhu  

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      @Vikrant-Garg Probability of catching the bus = Probability of getting faulty machines in the first 2 tests (this part is clear right?) This is possible in 2 ways - if we get DD or if we get GG as the result of first 2 tests. In your doubt, if we get DG or GD we will require to do one more test, which would make the mechanic miss the bus. So DG and GD are not favourable cases. So total number of ways = 4!/(2! x 2!) = 6 ways. Favourable cases = 2 Probability = 2/6 = 1/3 Is it clear ?
    • Quant Boosters - Shashank Prabhu, CAT 100 Percentiler - Set 4
      Quant - Boosters • quant - mixed bag • • shashank_prabhu  

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      @Naman-Jain-0 ___ | ___ | ___ | ___ | ___ | ___ | ___ | ___There are a total of 8 steps represented by (___) and let the dash ('|') represent if he is stopping at the previous step. There are 7 such dashes. Each dash can take a 0 or 1. 0 indicates, he is stopping at the step immediately before it. As each dash can take a 0 or 1, the number of ways is 128.And as the maximum steps u can take is 6, the cases where he takes 7 steps at a time - given by (1,0,0,0,0,0,0) and (0,0,0,0,0,0,1)- and 8 steps at a time - given by (0,0,0,0,0,0,0)- are eliminated. Therefore it is 125.
    • Quant Boosters - Shashank Prabhu, CAT 100 Percentiler - Set 3
      Quant - Boosters • quant - mixed bag • • shashank_prabhu  

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      @Naman-Jain-0 Partition method is applicable for cases like dividing n identical objects among r distinguishable parts right ? How would you apply it here ?
    • Quant Boosters - Shashank Prabhu, CAT 100 Percentiler - Set 2
      Quant - Boosters • quant - mixed bag • • shashank_prabhu  

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      @zabeer thanks for the explanation.
    • Quant Boosters - Shashank Prabhu, CAT 100 Percentiler - Set 1
      Quant - Boosters • quant - mixed bag • • shashank_prabhu  

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      @Sonam-Priya it is called chord theorem. This theorem states that A × B is always equal to C × D no matter where the chords are.
    • DILR Sets (with Video solutions) - Shashank Prabhu, CAT 100 Percentiler - Part 8
      DILR - Booster • • shashank_prabhu  

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    • DILR Sets (with Video solutions) - Shashank Prabhu, CAT 100 Percentiler - Part 7
      DILR - Booster • • shashank_prabhu  

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    • DILR Sets (with Video solutions) - Shashank Prabhu, CAT 100 Percentiler - Part 6
      DILR - Booster • • shashank_prabhu  

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    • DILR Sets (with Video solutions) - Shashank Prabhu, CAT 100 Percentiler - Part 5
      DILR - Booster • • shashank_prabhu  

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    • DILR Sets (with Video solutions) - Shashank Prabhu, CAT 100 Percentiler - Part 4
      DILR - Booster • • shashank_prabhu  

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    • DILR Sets (with Video solutions) - Shashank Prabhu, CAT 100 Percentiler - Part 3
      DILR - Booster • • shashank_prabhu  

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      Hi can you please send the solution of SET 9
    • Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler
      Quant BBQ - Best of Best Questions • question bank • • shashank_prabhu  

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      @shashank_prabhu 608. 2^1023 608mod1000
    • DILR Sets (with Video solutions) - Shashank Prabhu, CAT 100 Percentiler - Part 2
      DILR - Booster • • shashank_prabhu  

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      @naman-jain-0 yeah 23 s the answer
    • DILR Sets (with Video solutions) - Shashank Prabhu, CAT 100 Percentiler - Part 1
      DILR - Booster • • shashank_prabhu  

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    • Question Bank - Geometry - Shashank Prabhu, CAT 100 Percentiler
      Quant BBQ - Best of Best Questions • question bank • • shashank_prabhu  

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      Q96) From a rectangular sheet of dimensions 30 cm × 20 cm, four squares of equal size are cut from the four corners. Then the resulting four sides are bent upwards to give it the shape of an open box. If the volume of the box is 1056 cm^3, what is the length of the side of the squares cut from the corners? [OA: 4]
    • Question Bank - Algebra - Shashank Prabhu, CAT 100 Percentiler
      Quant BBQ - Best of Best Questions • question bank • • shashank_prabhu  

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      @shashank_prabhu
    • Question Bank - Solved RC Questions - Sriram Krishnan, Learningroots
      Reading Comprehension • • shashank_prabhu  

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      @shashank_prabhu said in Question Bank - Solved RC Questions - Sriram Krishnan, Learningroots: RC - 6 Symptoms of Parkinson’s Disease, such as tremors, are thought to be caused by low dopamine levels in the brain. Current treatments of Parkinson’s disease are primarily reactionary, aiming to replenish dopamine levels after dopamine-producing neurons in the brain have died. Without a more detailed understanding of the behavior of dopamine-producing neurons, it has been impossible to develop treatments that would prevent the destruction of these neurons in Parkinson’s patients. Recent research provides insight into the inner workings of dopamine-producing neurons, and may lead to a new drug treatment that would proactively protect the neurons from decay. By examining the alpha-synuclein protein in yeast cells, scientists have determined that toxic levels of the protein have a detrimental effect on protein transfer within the cell. More specifically, high levels of alpha-synuclein disrupt the flow of proteins from the endoplasmic reticulum, the site of protein production in the cell, to the Golgi apparatus, the component of the cell that modifies and sorts the proteins before sending them to their final destinations within the cell. When the smooth transfer of proteins from the endoplasmic reticulum to the Golgi apparatus is interrupted, the cell dies.(adsbygoogle = window.adsbygoogle || []).push({}); With this in mind, researchers conducted a genetic screen in yeast cells in order to identify any gene that works to reverse the toxic levels of alpha-synuclein in the cell. Researchers discovered that such a gene does in fact exist, and have located the genetic counterpart in mammalian nerve cells, or neurons. This discovery has led to new hopes that drug therapy could potentially activate this gene, thereby suppressing the toxicity of alpha-synuclein in dopamine-producing neurons. While drug therapy to suppress alpha-synuclein has been examined in yeast, fruitflies, roundworms, and cultures of rat neurons, researchers are hesitant to conclude that such therapies will prove successful on human patients. Alpha-synuclein toxicity seems to be one cause for the death of dopamine-producing neurons in Parkinson’s patients, but other causes may exist. Most scientists involved with Parkinson’s research do agree, however, that such promising early results provide a basis for further testing. It can be inferred from the passage that a yeast cell with toxic levels of alpha-synuclein will die becausea. low levels of dopamine will disrupt the flow of proteins from the endoplasmic reticulum to the Golgi aparatusb. the gene that suppresses alpha-synuclein is missing or is not functioning properly in such yeast cellsc. drug therapy has proven to be ineffective in yeast cellsd.the normal distribution of proteins to the different cell components outside the Golgi apparatus will be affectede. alpha-synuclein is by nature a toxic protein(adsbygoogle = window.adsbygoogle || []).push({}); One function of the third paragraph of the passage is toa. highlight the many similarities between yeast cells and mammalian nerve cellsb. explain in detail the methods used to conduct a genetic screen in yeast cellsc. further explain the roles of various cellular components of yeast cellsd. identify the genes in yeast cells and mammalian nerve cells that work to reverse the toxic levels of alpha-synucleine. clarify the relevance of genetic testing in yeast cells to the search for a new treatment for Parkinson’s disease It can be inferred from the passage that current treatments of Parkinson’s Diseasea. repair damaged cells by replenishing dopamine levels in the brainb. are ineffective in their treatment of Parkinson’s symptoms, such as tremorsc. were developed without a complete understanding of dopamine-producing neuronsd. will inevitably be replaced by new drug therapy to suppress alpha-synuclein toxicitye. were not developed through research on yeast cells Source: ManhattanPrepFor 2 question options d also fits and according to your explanation nerve cell affected by Parkinson disease is discussed in third para while the nerve cell is where the gene found to reverse the level.
    • LR Capsules - Shashank Prabhu - CAT 100 Percentiler
      Logical Reasoning • • shashank_prabhu  

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      @Rohit-Rathore Q3) Let say we had x coins in the beginning After 1st loot : x - 1 - (x-1)/3 = 2/3(x-1) = (2x-2)/3 After 2nd loot : (2x - 2)/3 - 1 - [(2x - 2)/3 - 1]/3 = 2/3[(2x-2)/3 - 1] = (4x - 10)/9 After 3rd loot : (4x - 10)/9 - 1 - [((4x - 10)/9 - 1]/3 = 2/3 [(4x - 10)/9 - 1] = (8x - 38)/27 Now the final value (after throwing away the fake coin) = (8x - 38)/27 - 1 = (8x - 65)/27 is a multiple of 3. So we can write, (8x - 65)/27 = 3k x = (81k + 65)/8 x is an integer, 81K + 65 should be a multiple of 8, means (81K + 65) Mod 8 = 0 We know 81 Mod 8 = 1 and 65 mod 8 = 1. So to get remainder 0, we need to adjust K in a way that 81K mod 8 = 7. Least value would be K = 7 For K = 7, x = (81 * 7 + 65)/8 = 79, which should (could) be our answer. Let me know in case of any Logical/Calculation errors.
    • Question Bank - Logical Reasoning - Shashank Prabhu, CAT 100 Percentiler
      DILR - Booster • question bank • • shashank_prabhu  

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      OA: a, c, b, d and c
    • Question Bank - Modern Math - Shashank Prabhu - CAT 100 Percentiler
      Quant BBQ - Best of Best Questions • question bank • • shashank_prabhu  

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      Q91) A four-letter code has to be formed using the alphabets from the set (a, b, c, d) such that the codes formed have odd number of a’s. How many different codes can be formed satisfying the mentioned criteria?
    • Question Bank - Arithmetic - Shashank Prabhu, CAT 100 Percentiler
      Quant BBQ - Best of Best Questions • question bank • • shashank_prabhu  

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      @shashank_prabhu ans is 124