Quant Boosters - Hemant Malhotra - Set 13


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


    Q22) A woman and a girl went to a fruit market. The woman bought 5 apples, 3 mangoes and 7 oranges for Rs.51. The girl bought 10 apples, 5 mangoes and 14 oranges for Rs.98. Find the cost of each mango.


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


    Q23) In how many ways 20 similar mangoes can be distributed among 4 men such that no one can get more than 10 and each one can get at-least one mango.

    OA : 19C3 - 4(9C3)


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


    Q24) Find number of ways in which sum on 3 dice rolled is 15


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


    Q25) What will be the last digit of 2^3^4^5 - 2^3^5^4?


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


    Q26) ABC is a 3 digit number such that ABC = 5 * (AB + BC + CA)
    Find total number of possible values for ABC


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


    100A + 10B + C = 5 * (10A + B + 10B + C + 10C + A)
    100A + 10B + C = 55 * (A + B + C)
    45(A - B) = 54C
    so A - B = 6/5 * C
    so C = 0 then A - B = 0 then A will vary from 1 to 9 so 9 values
    when C = 5 then A - B = 6 then A will vary from 6 to 9 so 4 values
    so 9 + 4 = 13 values


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


    Q27) Find number co-primes to 300 which are greater than 200 but less than 300


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


    Q28) Find number of triangles with integral sides if perimeter is 50

    [OA : 52]


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


    Q29) Find the number of trailing zeros if 75^25 is written in base 25


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


    Q30) Find the number of non negative integral solutions to the equation a + b + c = 13, such that a, b and c are distinct


 

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