Surit Datta   10 years AGO

the possible values of x , y , z are 4 , 5 , 6 respectively
to get the highest xz + yz + xy value
so according to the above value
the summation will be.
(20 + 30 + 24) = 74
so option 1
that's it.

Like? Yes (11) | No (4)  

Saurabh Kumar Gupta   10 years AGO

x+y+z=15
xy+yz+zx will be maximum only when x, y, z will be closest to each other.
so the possible set of values will be 4, 5, 6
so 4*5+5*6+4*6=74

Like? Yes (5) | No (1)  

Divya jain   10 years AGO

x,y and z can be
(1,5,9)
(1,6,8)
(2,4,9)
(2,5,8)
(2,6,7)
(3,4,8)
(3,5,7)
(4,5,6)

max value from (4,5,6) i.e 74 ans

Like? Yes (4) | No   

Kanhaiya Jha   10 years AGO

4,5,6 as x,y,z respectively

Like? Yes (4) | No (1)  

praveen kumar   10 years AGO

as z is the largest nummber then y and smallest is x
as x+y+z=15 and z

Like? Yes (2) | No   

MRITUNJAY   10 years AGO

after satisfying the condition
numbers are 4,5,6
sum is 4*5+5*6+6*4=74
option 1.

Like? Yes (3) | No (1)  

arush gupta   10 years AGO

74

Like? Yes (1) | No   

Supriya Mondal   10 years AGO

Here value of x, y and z will be 4, 5 and 6 respectively.
That satisfy the above 3 conditions that is,
i)x not= y not = z
ii)0

Like? Yes (3) | No (2)  

priyanka    10 years AGO

4,5,6
20+30+24=74
x+Y+Z= 15

Like? Yes (1) | No   

sompon temtheerakij   10 years AGO

x not= y not= z
0 < x < y < z < 10
x+y+z = 15
so, x=1,2,3,4
xy + yz + zx will be max. --> x=4 , y=5 , z=6
xy + yz + zx = 74

Like? Yes (1) | No   

ramakrishnateja   10 years AGO

x not +y, y not =z and 0

Like? Yes (1) | No   

RAKESH DEY   10 years AGO

x=5,y=4,z=6

Like? Yes (1) | No   

modem mounika   10 years AGO

x=4;y=5;z=6

Like? Yes (1) | No   

jaganmohan rao .pola   10 years AGO

74

Like? Yes (1) | No   

APPIKONDA SANTOSH NAIDU   10 years AGO

74

Like? Yes (1) | No   

sandeep ramchandra pawaskar   10 years AGO

option 1 is correct

Like? Yes (1) | No   

KUMAR HARSH   10 years AGO

given 0

Like? Yes (1) | No   

jalaj   10 years AGO

max value of xy+yz+xz=4*5+5*6+6*4=74

Like? Yes (1) | No   

madhu   10 years AGO

Maximum possible case Will arise at x,y,z are 6,5,4 respectively...
then obviously x+y+z=15 & xy+yz+zx=74
so option 1 is the correct answer...

Like? Yes (1) | No   

Kaju Gupta   10 years AGO

x=4, y=5, z=6
xy+yz+zx = 74

Like? Yes (1) | No   

nitin kishore   10 years AGO

as our equation is xy+yz+zx
to maximize the term as well as the value of equation '
i have to take
x=4,y=5,z=6
then xy+yz+zx=74.....this is the maximum value of the given equation.

Like? Yes (1) | No   

RAHUL KUMAR   10 years AGO

Ans is 74

Like? Yes (1) | No   

sona sharma   10 years AGO

4+5+6=15
so x=4 , y=5 ,z=6
and 4*5+5*6+6*4=74
Thus the answer is 74

Like? Yes (1) | No   

AMIT SAURAV   10 years AGO

x+y+z=15;since we have to assign value of x,y,z so that it's sum must be equal to 15 and all x,y,z must have thier greatest value in order of z>y>x.hence,
=>x=4;y=5;z=6;
=>4*5+5*6+4*6
=74 ans.

Like? Yes (1) | No   

Abhishek Rana   10 years AGO

Bcoz multipication of higher no. Is higher and the combination we could get between 0 to 10 acc. To conditions provided best combination is x=4 , y=5,z=6

Like? Yes (1) | No   

Rahul Mahadik   10 years AGO

x=4
y=5
z=6

Like? Yes (1) | No   

rakhi kumari   10 years AGO

(x,y,z)=4,5,6
xy + yz + zx =74

Like? Yes (1) | No   

ganesh babu   10 years AGO

X=4, Y=5, Z=6
xy+yz+zx=74

Like? Yes (1) | No   

Koustabh Chatterjee   10 years AGO

x=4,y=5,z=6
so it will be 74

Like? Yes (1) | No   

Shruity Govil   10 years AGO

x=5, y=6, z=4
5*6+6*4+4*5=74

Like? Yes (1) | No   

Revathi Perapu   10 years AGO

x=4;y=5;z=6
then xy+yz+zx=20+30+24=74

Like? Yes (1) | No   

A M ANKIT KALLURAYA   10 years AGO

x=4 y=5 z=6

Like? Yes (1) | No   

Mukul Dixit   10 years AGO

answer is 1). 74
Because values of x,y and z will be 4,5 and 6 respectively.

Like? Yes (1) | No   

Sambar Naresh   10 years AGO

If x+y+z=15
There will 3 possible values
i) 3+4+8=15
but xy + yz + zx = 68
ii) 3+5+7=15
but xy + yz + zx = 71
iii) 4+5+6=15
xy + yz + zx = 74
so, options 1 is correct.

Like? Yes (1) | No   

tejomayi   10 years AGO

X=4,y=5,z=6

Like? Yes (1) | No   

Alka Sinha   10 years AGO

we have 3 equation :
X != Y != Z
0 < x < y < z < 10
X + Y + Z = 15

Best combination of number to satisfied this condition is 6, 5 and 4.
Som Answer is 74.

Like? Yes (1) | No   

Naveen Pandey   10 years AGO

take the middle value i.e. 15/3=5
so, 5+6+4=15
so the answer will be 74

Like? Yes (1) | No   

Rajesh R   10 years AGO

4+5+6=15
4*5+5*6+4*6=74

Like? Yes (1) | No   

Prudhvi Kalavakunta   10 years AGO

for values 4,5,6 n according to the formula (a+b+c)^2 , maximum possible value for xy+yz+zx is 74

Like? Yes (1) | No   

surya   10 years AGO

x=4,y=5,z=6
x+y+z=15
xy+yz+zx=74

Like? Yes (1) | No   

Shahrukh   10 years AGO

4+5+6=15
so
4*5+5*6+6*4=74

by hit nd trial method

Like? Yes (1) | No   

Harish Reddy Namala   10 years AGO

Tried with maximum sets of values that x,y,z can have. From the sets of values the product can reach maximum upto 74. The minimum value for this is 59.

Like? Yes (1) | No   

A.SOMA SUNDARI   10 years AGO

In the above ques they have given 0

Like? Yes (1) | No   

sneha   10 years AGO

0

Like? Yes (1) | No   

s.durgadevi   10 years AGO

x=6,y=4,z=5
xy+yz+zx=74

Like? Yes (1) | No   

ASIM KUMAR HALDAR   10 years AGO

4,5,6 is maximum possibility so answer is 74

Like? Yes (1) | No   

SUSHANT KUMAR   10 years AGO

x= 4 y =5 z =6

so xy +yz +zx =74

Like? Yes (1) | No   

POOJA SINGH   10 years AGO

all possible values of x y z that satisfy the condition x + y + z equals to 15 is (1,5,9)(1,6,8)(2,6,7)(2,4,9)(2,5,8)(3,4,8)(3,5,7)(4,5,6)
out of this only (4, 5, 6 )satisfy the given question so the maximum value of is 74.

Like? Yes (1) | No   

Dorababu M   10 years AGO

sharing the 15 among 3 parts 5,5,5-->but x!=y!=z then one difference among these 3 variables we get better solution 4,5,6
then 20+30+24=74 it is the maximum possible value..........

Like? Yes (1) | No   

ADARSH GAURAV   10 years AGO

74 is the answer.

Like? Yes (1) | No   

naresh kumar   10 years AGO

let x=4,y=5,z=6 1st condition satisfied ,and x+Y+z=15=4+5+6=15,so xy+yz+zx=4*5+5*6+6*4=74

Like? Yes (1) | No   

kishan kumar   10 years AGO

only best combination is 4 5 6
so sum of multiple of two no is 78 only

Like? Yes (1) | No   

Kashish Aneja   10 years AGO

for product to be maximum x=y=z
but as they are not same therefore they must be near as possible to 5 so
x=4;y=5;z=6
hence max value is 74

Like? Yes (1) | No   

RAKESH ARYA   10 years AGO

here the max. value of x,y and z =4,5 ,6 resp.
so we have xy+yz+xz=74 max.

Like? Yes (1) | No   

shahbaz Alam Ansari   10 years AGO

As ( x+y+z)=15
So req values to be 15 according to question will be
9+5+1
9+4+2
9+1+4
8+6+1
8+5+2
8+4+3
7+2+6
7+3+5
6+4+5
All other values will be repeated for the values of x, y,z
So acc to question
Value for xy+yz+zx from above value of x,y,z are
59
62
49
62
66
74
68
71
74
So maximum possible value is 74

Like? Yes (1) | No   

pravallika   10 years AGO

4,5,6 are the numbers with which we get maximum value for the function xy+yz+zx

Like? Yes (1) | No   

Pinaki Ghosh   10 years AGO

4+5+6 = 15
4*5 + 5*6 + 6*4 = 74

Like? Yes (1) | No   

phani krishna   10 years AGO

maximum value is applicable when 4,5,6 are applicable as x,y,z as the product is cyclic. so value is (4*5+5*6+6*4)

Like? Yes (1) | No   

Shripad Kulkarni   10 years AGO

by taking the random values of x y z as per condition given..
x=4 y=5 z=6
so ans. is 74

Like? Yes (1) | No   

Debashis Dey   10 years AGO

taking x=4 y=5 z=6 we get xy+yz+zx=74 satisfying all given conditions

Like? Yes (1) | No   

surya    10 years AGO

x=4,y=5,z=6
20+30+24=74

Like? Yes (1) | No   

Vipul Kumar Paliwal   10 years AGO

the max. value of z can be 6...then y=5 and x=4...we get x+y+z=15...and
xy+yz+zx=4.5+5.6+6.4= 20+30+24= 74

Like? Yes (1) | No   

Abhishek Sumit   10 years AGO

x=4,y=5,z=6
xy+yz+zx=74

Like? Yes (2) | No (2)  

Jaspalsingh Parmar   10 years AGO

Option 1 is correct

Like? Yes (1) | No (1)  

p.venkata kalyan   10 years AGO

take the x=5,y=4,z=6

Like? Yes (1) | No (1)  

Sanu Panji   10 years AGO

x,y,z= 4,5,6
xy+yz+zx=74

Like? Yes (1) | No (1)  

Yathiraj   10 years AGO

x = 4
y = 5
z = 6
xy+yx+zx: 74

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Like? Yes (2) | No (2)  

ABHINAV PUSHPAM   10 years AGO

No. Is 6,5,4

Like? Yes (1) | No (1)  

sravani   10 years AGO

4,5,6 gives the maximum product...I,e. 74

Like? Yes (1) | No (1)  

salman idrisi   10 years AGO

possible value of x,y and z are 4,5 and 6 in oder to minimize x^2+y^2+z^2 so as to maximize xy+yz+xz formula (x+y+z)^2=X^2+y^2+z^2-2(xy+yz+xz)

Like? Yes (1) | No (1)  

RAKESH   10 years AGO

xy + yz + zx < = 75 for any values

for 6,5,4 its 74

Like? Yes (1) | No (2)