Latest TCS Aptitude Question SOLUTION: Three non integers numbers X, Y, Z are such that the mean is M and the median is 5. If M is 10 more that the smallest number and 15 less than biggest number, Find the values of X+

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Three non integers numbers X, Y, Z are such that the mean is M and the median is 5. If M is 10 more that the smallest number and 15 less than biggest number, Find the values of X+Y+Z.
a) 15
b) 5
c) 20
d) 30

Asked In TCS Prabhu (11 years ago)

Unsolved Read Solution (7)

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sainath  (11 years ago)

we don't need individual values of x,y,z
so let us consider x be smaller and z is larger
so y is median=5
mean=(x+y+z)/3=(x+z+5)/3
mean=x+10 and z-15
=>(x+z+5)/3=x+10 | (x+z+5)/3=z-45
=>x+z+5=3x+30 | x+z+5=3z-45
=>2x-z+25=0 ---(1) | 2z-x-50=0 ---(2)

from the addition of two equations (1)+(2)
=>(2x-z+25)+(2z-x-50)=0
=>x+z-25=0
=>x+z=25
so x+y+z=(x+z)+y=25+5=30....

Is this solution Helpfull? Yes (43) | No (2)  

sainath  (11 years ago)

we don't need individual values of x,y,z
so let us consider x be smaller and z is larger
so y is median=5
mean=(x+y+z)/3=(x+z+5)/3
mean=x+10 and z-15
=>(x+z+5)/3=x+10
=>x+z+5=3x+30
=>2x-z+25=0 ---(1)
and
(x+z+5)/3=z-15
=>x+z+5=3z-45
=>2z-x-50=0 ---(2)
from the addition of two equations (1)+(2)
=>(2x-z+25)+(2z-x-50)=0
=>x+z-25=0
=>x+z=25
so x+y+z=(x+z)+y=25+5=30....

Is this solution Helpfull? Yes (13) | No (1)  

hina wadhwa  (11 years ago)

ans:30 median y=5 then (x=5=z)/3=x=10 and (x+5+z)=z-15 from thes two equations
x+z=25 so x+y+z=25+5=30

Is this solution Helpfull? Yes (5) | No (1)  

nik  (11 years ago)

i think ans is 20

Is this solution Helpfull? Yes (3) | No (14)  

chakri  (11 years ago)

x=m-10,y=m+15,x+y+z=3m,==>m-10+5+m+15=3m ==>m=10 ==>3m=30

Is this solution Helpfull? Yes (2) | No   

satyanarayana  (11 years ago)

ans:30 median y=5 then (x=5=z)/3=x=10 and (x+5+z)=z-15 from thes two equations
x+z=25 so x+y+z=25+5=30

Is this solution Helpfull? Yes (1) | No (2)  

nirbhay thacker  (11 years ago)

x,y,z here median is 5 take y as median...now suppose smallest no is 5...then M is 10 more then it is 15

Is this solution Helpfull? Yes | No (9)  

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