A positive integer is such that the difference of its square and square root is 252. What will be th

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29 Jul 2011 integer

A positive integer is such that the difference of its square and square root is 252. What will be the sum of that positive integer, square of that integer and fourth root of that integer?

OPtion

1) 272
2) 18
3) 258
4) 248
5) 274
6) 48
7) 22
8) 168
9) 124
10) none of these

Solution

let the positive integer is x, then according to the given condition
x^2 - sqrt(x) = 252
since difference is 252, which is an integer, and sqrt(x) is also involved, so definitely x will be a perfect square integer. Check 1,4,9 in x, but no satisfactory result will obtain. now if we take 16 in x, we will get 256-4 = 252, hence x will be 16. apply the value of x in desired expression.

Correct Option: 5 Best Solution (10)

dharmaveer   13 years AGO

16^2 - sqrt(16) = 252

so, sum of that positive integer, square of that integer and fourth root of that integer will be

16 + 256 + 2 = 274

option 5

Like? Yes (7) | No (2)  

Dr.Dipin Singh   13 years AGO

No is 16.
sum of that positive integer, square of that integer and fourth root of that integer = 16+256+2= 274

Like? Yes (3) | No   

Bawa   13 years AGO

x^2 - root x= 252
x=16

x+x^2+ fourth root of x = 16+256+2 = 274

Like? Yes (3) | No   

elakkia   13 years AGO

given + ve integer is x
then x2-root of x=252 so x=16
then they ask x+x2+4th root of x=?
16+256+2=274

Like? Yes (2) | No (1)  

swetha   13 years AGO

x^2-sqrt(x)=252
16 satisfies the above equation
x=16
x+x^2+4th root of x=16+256+2=274

Like? Yes (2) | No (1)  

GUNDA NAGESH   13 years AGO

the positive integer is 16.its square is 256 and square root is 16. so ans is 256+16+2=274

Like? Yes (2) | No (1)  

Datla Kanthi   13 years AGO

Number is 16
So 16+ square of 16 + 4th root of 16 = 16+256+2=274

Like? Yes (2) | No (2)  

Ranjeet Verma   13 years AGO

given x^2 -sqrt(x)=252
by hit and trial x=16
so x+x^2+x^(1/4)=274

Like? Yes (2) | No (2)  

Aradhana   13 years AGO

for x=16
x^2 - x^1/2 = 256 - 4 = 252(given)
so, x + x^2 + x^1/4 = 16 + 256 + 2 = 274

Ans: 274(option 5)

Like? Yes (1) | No (1)  

sacreties   13 years AGO

the number is 16 because 16^2-4=252 and 16+256+2=274

Like? Yes (1) | No (1)