Latest MBA Aptitude Question SOLUTION: The HCF of three natural nos x,y,z is 13. if the sum of x,y,z is 117 then how many ordered pairs of (x,y,z) exist?

1) 27
2) 54
3) 28
4) 55

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The HCF of three natural nos x,y,z is 13. if the sum of x,y,z is 117 then how many ordered pairs of (x,y,z) exist?

1) 27
2) 54
3) 28
4) 55

Asked In MBA (11 years ago)

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Piyush Jain  (11 years ago)

number are x=13a,y=13b,z=13c where a,b,c not equal to 0
x+y+z=117
a+b+c=9
the numbers are a=1,b=1,c=7 = 3
the numbers are a=1,b=2,c=6 = 3!=6
the numbers are a=1,b=3,c=5 = 3!=6
the numbers are a=1,b=4,c=4 = 3
the numbers are a=2,b=2,c=5 = 3
the numbers are a=2,b=3,c=4 = 3!=6
the numbers are a=3,b=3,c=3 = 1
ordered pairs are = 3+6+6+3+3+6+1=28 (3) answer

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