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    Hemant Malhotra

    @hemant_malhotra

    Director at ElitesGrid | CAT 2017 - QA 100 Percentile / CAT 2016 - QA : 99.94, LR-DI - 99.70% / XAT 2017 - QA : 99.975

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    Website www.elitesgrid.com/

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    Topics created by hemant_malhotra

    • Quant Boosters - Hemant Malhotra - Set 14
      Quant - Boosters • quant - mixed bag • • hemant_malhotra  

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      @hemant_malhotra 8..............................................................
    • Quant Boosters - Hemant Malhotra - Set 13
      Quant - Boosters • quant - mixed bag • • hemant_malhotra  

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      Q30) Find the number of non negative integral solutions to the equation a + b + c = 13, such that a, b and c are distinct
    • Quant Boosters - Hemant Malhotra - Set 12
      Quant - Boosters • quant - mixed bag • • hemant_malhotra  

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      @hemant_malhotra 256 solutions.
    • Quant Boosters - Hemant Malhotra - Set 11
      Quant - Boosters • quant - mixed bag • • hemant_malhotra  

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      @hemant_malhotra as the no. of real roots is asked so it will always be 3
    • Quant Boosters - Hemant Malhotra - Set 10
      Quant - Boosters • quant - mixed bag • • hemant_malhotra  

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      a^2 - a + 1 mod 13 = 0a = 10^pa(max) = 10^910^18 - 10^9 + 1 mod 13 = 1 + 1 + 1 = 310^16 - 10^8 + 1 mod 13 = 3 - 9 + 1 = 810^14 - 10^7 + 1 mod 13 = 9 + 3 + 1 = 13 mod13=0 sop = 7 N = 16! + 89 mod 323323 = 17 * 19N mod 17 = -1 + 4 = 3N mod 19 = 9 + 13 = 3q = 3 46c23 mod 23 = = 2=r p + q + r = 12
    • Quant Boosters - Hemant Malhotra - Set 9
      Quant - Boosters • quant - mixed bag • • hemant_malhotra  

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      @hemant_malhotra I don't understand how 248 came
    • Quant Boosters - Hemant Malhotra - Set 8
      Quant - Boosters • quant - mixed bag • • hemant_malhotra  

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      999 = 37 * 27 9999 = 99 * 101 999999 = 999* 1001 = 999 * 11 * 91 = 999 * 11 * 13 * 7 2004 is a multiple of 3, 4 and 6. The given number can be divided into groups of three 9's, four 9's or six 9's at a time. The given number is divisible by 7, 13, 37 and 101.
    • Quant Boosters - Hemant Malhotra - Set 7
      Quant - Boosters • quant - mixed bag • • hemant_malhotra  

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      x^2 - 6x + 25 = (x-3)^2 + 16 so min of sqrt (x^2-6x+25) = 4 y^2 - 8y + 25 = (y-4)^2 + 9 so min of sqrt (y^2-8y+25) will be 3 so min sum will be 7 for x=3 and y=4
    • Quant Boosters - Hemant Malhotra - Set 6
      Quant - Boosters • quant - mixed bag • • hemant_malhotra  

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      a + 5b + 10c + 25d = 50 , Put d = 0, a + 5b + 10c = 50 now solve this Put d = 1 then d = 2
    • Quant Boosters - Hemant Malhotra - Set 5
      Quant - Boosters • quant - mixed bag • • hemant_malhotra  

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      Method1- Let's say original weight is 100 now he is taking 20% extra so total 120 and selling 10% less so 90. So (120-90/90) * 100 = 30/90 * 100= 33.33% Method2- multiplying factor1 * 10/9 * 6/5 = 1.33 so 33%
    • Quant Boosters - Hemant Malhotra - Set 4
      Quant - Boosters • quant - mixed bag • • hemant_malhotra  

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      @hemant_malhotra Hello sir, To the reference of the above question, I have a doubt. It says he makes 20% profit secretly and claims to sell at the 10% loss. Then, If cost price is 100 , he makes a loss of 10 I.e. 90(S.P.) but here he SECRETLY makes a profit of 20%. So won't that be 90/1.2?
    • Quant Boosters - Hemant Malhotra - Set 3
      Quant - Boosters • quant - mixed bag • • hemant_malhotra  

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      for any weight we have 3 possibilities:- Place it on the weight panPlace it on other pan, along with something whose weight we need to findWe don't use itSo, it is similar to base 3, hence by taking weight of form 3^n, we can ensure that we are using least number of weights and when we just have two possibilities. so 3^n >=300 so n=6
    • Quant Boosters - Hemant Malhotra - Set 2
      Quant - Boosters • quant - mixed bag • • hemant_malhotra  

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      @hemant_malhotra shouldn't A point at the top so the distance become 2+3+2 = 7 as in room A at top face not at bottom face
    • Quant Boosters - Hemant Malhotra - Set 1
      Quant - Boosters • quant - mixed bag • • hemant_malhotra  

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      @pratik0809 It is asked to create subset so that NO two elements sum to 11. So Null set satisfies right ? Logic here is, for a usual case (without any conditions), we can have 2^n subsets for a set of n elements. Why ? because each element can either be present or not in the subset. So each element can have two options giving a total of 2^n possibilities. Here, we have 5 pairs and each pair can contribute in 3 ways - First element selected or Second element selected or None is selected. So total subsets = 3^5 = 243 ways (which includes null set too)
    • Question Bank (2) - Logical Reasoning - Hemant Malhotra
      DILR - Booster • question bank • • hemant_malhotra  

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      @hemant_malhotra please i am not able to solve this do tell me the solution [email protected]
    • Critical Reasoning Practice Questions (Solved) - Hemant Malhotra
      Critical Reasoning • • hemant_malhotra  

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    • Question Bank (1) - Logical Reasoning - Hemant Malhotra
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      @hemant_malhotra how is it box 2 ???kindly explain
    • Question Bank - Modern Math - Hemant Malhotra
      Quant BBQ - Best of Best Questions • question bank • • hemant_malhotra  

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      @hemant_malhotra 4!5c25
    • Question Bank - Arithmetic - Hemant Malhotra
      Quant BBQ - Best of Best Questions • question bank • • hemant_malhotra  

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      @hemant_malhotra... 1:5
    • Question Bank - Geometry - Hemant Malhotra
      Quant BBQ - Best of Best Questions • question bank • • hemant_malhotra  

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      @hemant_malhotra 7.4 is the answer !!
    • Question Bank - Number Theory - Hemant Malhotra
      Quant BBQ - Best of Best Questions • • hemant_malhotra  

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    • Minimum Weighing Requirements
      Logical Reasoning • • hemant_malhotra  

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    • Tackling Coin Picking Problems
      Logical Reasoning • games & tournaments • • hemant_malhotra  

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    • Question Bank - Algebra - Hemant Malhotra
      Quant BBQ - Best of Best Questions • question bank • • hemant_malhotra  

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      @hemant_malhotra said in Question Bank - Algebra - Hemant Malhotra: Let a < b < c be the three real roots of the equation √2014 x^3 - 4029 x^2 + 2 = 0. Find b(a + c). https://artofproblemsolving.com/wiki/index.php/2014_AIME_I_Problems/Problem_9
    • Set Theory - Maxima/Minima concepts - Hemant Malhotra
      Quant Primer • set theory • • hemant_malhotra  

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    • Cauchy Schwarz Inequality - Hemant Malhotra
      Quant Primer • theory of equations • • hemant_malhotra  

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    • Formula To Find Ordered & Unordered Pairs Possible For A Given LCM - Hemant Malhotra
      Quant Primer • hcf lcm • • hemant_malhotra  

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    • Number Theory Concepts For CAT - Hemant Malhotra
      Quant Primer • quant - mixed bag • • hemant_malhotra  

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    • Number Of Solutions For Equations Involving Difference/Sum Of Perfect Squares - Hemant Malhotra
      Quant Primer • theory of equations • • hemant_malhotra  

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      @vishwa2017 for question no. 2, 256 is a perfect square, so i think answer should be 14