Multiple Choice Questions on The sum of squares of three positive integers is 323 If the sum of squares of two numbers is twice t........... for SSC CGL Exam Preparation

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Multiple Choice Questions

The sum of squares of three positive integers is 323 If the sum of squares of two numbers is twice t...........

Quantitative Aptitude (CGL) Number System
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    The sum of squares of three positive integers is 323. If the sum of squares of two numbers is twice the third, their product is

    255

    Correct Answer

    260

    Incorrect Answer

    265

    Incorrect Answer

    270

    Incorrect Answer
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    Explanation:

    Let the integers in 
    a,b,c
    a^2+b^2+c2=323......(i)
    a^2+b^2=2c........(ii)
    Break the 323 in to their squares
    a = 5
    b = 3
    c = 17
    So, a^2+b^2+c^2=323
    and
    a^2+b^2=2c
    252+32=2×17
    34=34
    So Satisfied
    a : b : c = 17×5×3=255

    By: MIRZA SADDAM HUSSAIN
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