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CDS - Elementary Mathematics Test 969
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CDS - Elementary Mathematics Test 969
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  • Question 1/5
    1 / -0.33
    Which is the largest among ?
    Solutions

    Here,

    We will first evaluate LCM of exponents of

    ⇒ LCM(30,20,15,10) = 60

    We know that raising the same power to will not alter signs of inequality between them.

    ⇒ 36 , 512 , 160000 , 34012224

    Clearly,  is largest

    ⇒ is the largest.

  • Question 2/5
    1 / -0.33
    There is a group of 5 people among which there is one couple. In how many ways can these 5 people be seated in a row having 5 chairs if the couple is to be seated next to each other?
    Solutions

    Given:

    There are 5 people in group and one is couple between them

    Formula:

    Total number of ways to selecting n things = n!

    Calculation:

    We will take couple as one entity so we get total 4 people to arrange = 4!

    And we can arrange couple in 2 ways

    So, total number of ways top arrange these 5 people = 4!×2 = 48

    Hence option B is correct.

  • Question 3/5
    1 / -0.33
    There is a group of 5 people among which there is one couple. In how many ways can these 5 people be seated in a row having 5 chairs if the couple is to be seated next to each other?
    Solutions

    Given:

    There are 5 people in group and one is couple between them

    Formula:

    Total number of ways to selecting n things = n!

    Calculation:

    We will take couple as one entity so we get total 4 people to arrange = 4!

    And we can arrange couple in 2 ways

    So, total number of ways top arrange these 5 people = 4!×2 = 48

    Hence option B is correct.

  • Question 4/5
    1 / -0.33
    Find cube root of 4826809
    Solutions

    Step-1

    ⇒ Find the number formed by last three digit of 4826809 = 809

    ⇒ As last digit of 809 is 9 so we shall look the number between 0 to 9 which have cube ended with 9 .

    ⇒ As cube of 9 is 729 so keep in mind 9 & forget 809.

    Step-2

    ⇒ Now remaining number is 4826

    ⇒ Find number which have cube just less than 4826 .

    ⇒ That number is 16 which have cube 4096

    So cube root of 4826809 is 169.

    Note-Above method is shortcut method for finding cube root. You have to remember cube from 0 to 20 to use this method.

  • Question 5/5
    1 / -0.33
    Find the least number which should be added to 2497 so that sum is exactly divisible by 5,6,4 and 3.
    Solutions

    We have,

    LCM ( 5, 6, 4, 3) =

    = 60

    On dividing 2497 by 60, remainder = 37

     Least number to be added = 60 – 37 = 23.

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