Latest TCS Aptitude Question SOLUTION: the mean of three no.s is 10 more than the least of the no.s and 15 less than the greatest of the three.if the median of three nos is 5 then the sum of three is

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the mean of three no.s is 10 more than the least of the no.s and 15 less than the greatest of the three.if the median of three nos is 5 then the sum of three is

Asked In TCS karthika (10 years ago)

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Bailore Pradyumna Acharya  (10 years ago)

30 is the answer
let 3 numbs be X,Y,Z with values in ascending order
median is the middle term which is given as 5 i.e Y=5
mean=(X+Y+Z)/3=10+X ==>30+3X=X+5+Z ==>Z-2X=25
10+X=Z-15 ==>Z-X=25 from the 2 equations,X=0,Z=25
Therefore,sum of numbers=0+5+25=30

Is this solution Helpfull? Yes (23) | No   

deevi.sriramya  (10 years ago)

sum is 30 and the numbers are 0,5,25

Is this solution Helpfull? Yes (6) | No   

Aishwarya Srikanth  (10 years ago)

Let the 3nos be x,y,z.
Mean is 'a'.
Now mean for 3nos is (x+y+z)/3=a.......(1)st eq
x be the least no., so a=x+10
z be the greatest no., so a=z-15
Given that y=5.
substitute a=x+10, so x+5+z=3(x+10)
solving this we get x=(z-25)/2
now substitute x value in eq(1) we get z=25, so a=(25-15)=10
value of x=a-10=0.
Now three nos x=0,y=5,z=15
Sum of 3nos=0+5+25=30.
Solution : 30

Is this solution Helpfull? Yes (3) | No   

Kundan Kumar  (10 years ago)

it will be 0,5,25..... There is a calculation error in the previous one. And the sum of numbers will be 30

Is this solution Helpfull? Yes (2) | No   

Kundan Kumar  (10 years ago)

Mean Should by taken as Mean= (X+Y+Z)/3 ....

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ishan tiwari  (10 years ago)

(x+y+z)/3=10+x
(x+y+z)/3=z-15
given y=5
and solving we get
z-2x=25
2z-x=50
so we get x=0 y=5 z=25

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

Hema  (10 years ago)

let the least no be x and
the greatest no be z
given (x+y+z)/3=10+x
(x+5+z)/3=10+x
x+5+z=30+3x
z=25+2x
if x=0
z=25 which is greater than 15
(0+5+25)/3=30/3 which is =10+0
so, the answer is 30

Is this solution Helpfull? Yes (1) | No   

Kundan Kumar  (10 years ago)

Ans is 105
let Three numbers X,Y,Z
Then mean= (3X+Y+Z)
From this,
X+10=Mean;
Z-15=Mean;
On solving We get,
X=Z+25
Median is 5 i.e. y=5
Now put the values
Simply X+Y+Z=105

Is this solution Helpfull? Yes | No (7)  

Ankur Tagra  (10 years ago)

let x

Is this solution Helpfull? Yes | No (4)  

sahithi  (10 years ago)

the 3 nos are 0,5,25
sum=30

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Guru Pranav  (10 years ago)

0+25+5 = 30 Ans.

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