An integer x is selected in such a way that x + x^(1/2) + x^(1/4) = 276 Then sum of all digits of the number y = 100000 x^(1/4) + 1000 x^(1/2) + x will be

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20 Feb 2015 Sum of Number An integer x is selected in such a way that x + x^(1/2) + x^(1/4) = 276 Then sum of all digits of the number y = 100000 x^(1/4) + 1000 x^(1/2) + x will be: OPtion
1) 16
2) 19
3) 22
4) 24
5) 26
6) 29
7) 32
8) 35
9) 36
10)39; Correct Option: 4 Best Solution (34)

Saurabh Kumar Gupta 9 years AGO

x + x^(1/2) + x^(1/4) = 276
let t = x^(1/4) so x = t^4
now t^4 + t^2 + t = 276
so t = 4 fits in the equation
so x = 4^4 = 256
now y = 100000 x^(1/4) + 1000 x^(1/2) + x
y = 100000*4 + 1000*16 + 256 = 416256
so required sum of digits = 4+1+6+2+5+6 = 24

Like? Yes (13) | No (1)

Supriya Mondal 9 years AGO

From the question we get that x=256
After putting the value of x in the next equation we get
Y=416256
So sum of digit=4+1+6+2+5+6=24
So,option 4)24 is the right answer

Like? Yes (3) | No

Yathiraj 9 years AGO

x = 256
y = 100000 x^(1/4) + 1000 x^(1/2) + x = 416256
4+1+6+2+5+6 = 24

Like? Yes (2) | No

RAKESH 9 years AGO

x = 256
find y and sum of digits = 24

Like? Yes (2) | No

s.durgadevi 9 years AGO

x+x^(1/2)+x^(1/4)=276
1+1/2+1/4=7/4
=(276)^4/7
=24.8
therefore ans is option 4 -24

Like? Yes (2) | No

JANARTHANAN RAM 9 years AGO

x=256;
y=416256;
so ans 4+1+6+2+5+6=24;

Like? Yes (2) | No (1)

MRITUNJAY 9 years AGO

x+x^1/2+x^1/4=276
256+16+4=276

y=100000*4+1000*16+256=416256

sum of digit is 24.
option 4.

Like? Yes (2) | No (1)

praveen kumar 9 years AGO

from the given condition x+x^1/2+x^1/4=276
the value of x comes out= 256

now according to question,
100000 (x=256)^1/4+1000 (x=256)^1/2+(x=256)
=416256

so the sum of all digits,4+1+6+2+5+6=24

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ABHINAV PUSHPAM 9 years AGO

256+16+4=276
Y=416256
So answer will be 24
Option 4)

Like? Yes (2) | No (1)

KUMAR HARSH 9 years AGO

take x=256 which satisfy the condition x + x^(1/2) + x^(1/4) = 276
so y=100000*4+1000*16+256=416256
sum of digit=4+1+6+2+5+6

Like? Yes (1) | No

Math Lovers 9 years AGO

x + x^(1/2) + x^(1/4) = 276
=> x= 4
=> y = 416256
sum of digit = 24

Like? Yes (1) | No

Revathi Perapu 9 years AGO

x=256,
Then 100000 x^(1/4) + 1000 x^(1/2) + x=416256
sum of the digits are 24

Like? Yes (1) | No

modem mounika 9 years AGO

X = 256; y= 416256
then 4+1+6+2+5+6 =24

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Debashis Dey 9 years AGO

simplifying x + x^(1/2) + x^(1/4) = 276 we get values for x^1/4=4 ,x=256, and x^1/2=16 putting this values in equation y we get a number 56256 sum of digits of this number is 24

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sandeep ramchandra pawaskar 9 years AGO

option 4 is correct

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SAKTHEESVARI S 9 years AGO

256+(256)^1/2+(256)^1/4=256+16+4=276;
so,here x=256; substituting x value in y eqn, we get 416256 as the answer,so the sum of all digit of the number is=4+1+6+2+5+6=24;

Like? Yes (1) | No

Ajinkya Kulkarni 9 years AGO