x, y and z are three positive integers such that x not= y not= z and 0 < x < y < z < 10 If x+y+z =

Surit Datta   9 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   9 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   9 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   9 years AGO

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

Like? Yes (4) | No (1)  

praveen kumar   9 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   9 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   9 years AGO

74

Like? Yes (1) | No   

Supriya Mondal   9 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    9 years AGO

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

Like? Yes (1) | No   

sompon temtheerakij   9 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   9 years AGO

x not +y, y not =z and 0

Like? Yes (1) | No   

RAKESH DEY   9 years AGO

x=5,y=4,z=6

Like? Yes (1) | No   

modem mounika   9 years AGO

x=4;y=5;z=6

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jaganmohan rao .pola   9 years AGO

74

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APPIKONDA SANTOSH NAIDU   9 years AGO

74

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sandeep ramchandra pawaskar   9 years AGO

option 1 is correct

Like? Yes (1) | No   

KUMAR HARSH   9 years AGO

given 0

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jalaj   9 years AGO

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

Like? Yes (1) | No   

madhu   9 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   9 years AGO

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

Like? Yes (1) | No   

nitin kishore   9 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   9 years AGO

Ans is 74

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sona sharma   9 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   9 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   9 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   9 years AGO

x=4
y=5
z=6

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rakhi kumari   9 years AGO

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

Like? Yes (1) | No   

ganesh babu   9 years AGO

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

Like? Yes (1) | No   

Koustabh Chatterjee   9 years AGO

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

Like? Yes (1) | No   

Shruity Govil   9 years AGO

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

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Revathi Perapu   9 years AGO

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

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A M ANKIT KALLURAYA   9 years AGO

x=4 y=5 z=6

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Mukul Dixit   9 years AGO

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

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Sambar Naresh   9 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   9 years AGO

X=4,y=5,z=6

Like? Yes (1) | No   

Alka Sinha   9 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   9 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   9 years AGO

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

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Prudhvi Kalavakunta   9 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

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surya   9 years AGO

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

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Shahrukh   9 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   9 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.

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A.SOMA SUNDARI   9 years AGO

In the above ques they have given 0

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sneha   9 years AGO

0

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s.durgadevi   9 years AGO

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

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ASIM KUMAR HALDAR   9 years AGO

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

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SUSHANT KUMAR   9 years AGO

x= 4 y =5 z =6

so xy +yz +zx =74

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POOJA SINGH   9 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   9 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..........

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ADARSH GAURAV   9 years AGO

74 is the answer.

Like? Yes (1) | No   

naresh kumar   9 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

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kishan kumar   9 years AGO

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

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Kashish Aneja   9 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   9 years AGO

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

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shahbaz Alam Ansari   9 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   9 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   9 years AGO

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

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phani krishna   9 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)

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Shripad Kulkarni   9 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

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Debashis Dey   9 years AGO

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

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surya    9 years AGO

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

Like? Yes (1) | No   

Vipul Kumar Paliwal   9 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   9 years AGO

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

Like? Yes (2) | No (2)  

Jaspalsingh Parmar   9 years AGO

Option 1 is correct

Like? Yes (1) | No (1)  

p.venkata kalyan   9 years AGO

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

Like? Yes (1) | No (1)  

Sanu Panji   9 years AGO

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

Like? Yes (1) | No (1)  

Yathiraj   9 years AGO

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

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Like? Yes (2) | No (2)  

ABHINAV PUSHPAM   9 years AGO

No. Is 6,5,4

Like? Yes (1) | No (1)  

sravani   9 years AGO

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

Like? Yes (1) | No (1)  

salman idrisi   9 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   9 years AGO

xy + yz + zx < = 75 for any values

for 6,5,4 its 74

Like? Yes (1) | No (2)