The sum of a number, its cube root and its reciprocal number is an integer x. x will be

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08 Aug 2013 number

The sum of a number, its cube root and its reciprocal number is an integer x. x will be

OPtion

1) 1
2) 2
3) 3
4) 4
5) 5
6) 6
7) 7
8) 8
9) 9
10) none of these

Solution

the only number possible is 1 for which x will be integer so
x = 1 + (1/1) + (1)^1/3 = 3

Correct Option: 3 Best Solution (17)

jitendra sharma   10 years AGO

y+(y)1/3+1/y=x;
y=1; only 1 satisfy this condition.
then x=3 so correct option 3..

Like? Yes (6) | No (1)  

ABHISHEK KUMAR MISHRA   10 years AGO

according to question
n + (n)^1/3 + 1/n = x
but here for x should be integer then then n must be 1
so that x=1+1+1=3

Like? Yes (4) | No   

aniruddh shrivastava   10 years AGO

see, 1 is the only number which have its cube root and reciprocal integer.... so 1+cube root (1)+1/1=3

Like? Yes (4) | No (1)  

Jigyasa Kumar   10 years AGO

let the no. be 1 then 1 +(1^1/3)+(1/1)=3
3 is an integer.
Answer : 3

Like? Yes (3) | No   

Nayan Agrawal   10 years AGO

since 1 and its cr and its reci is only 3

Like? Yes (3) | No   

Pankaj   10 years AGO

1+cube rt.(1)+1/1=3
only 1 satisfies the conditions given.

Like? Yes (2) | No   

shailesh kumar mishra   10 years AGO

let the no is y
then y+y^1/3+1/y= should be integer
now 2,3,4,5,6,7,9 has no cube root and for 2 1/y
is 1/2 so using these we never get an integer but put y=1
then 1++^1/3+1/1= 1+1+1 =3 integer

Like? Yes (2) | No   

Vinay Sipani    10 years AGO

a + a^3 + (1/a) = x

As x is interger => (1/a) is also integer
=> a = 1

=> x = 1 + 1 + 1 = 3

Like? Yes (1) | No   

Chandni Maurya   10 years AGO

ans=(3).3
1+ cube root(1)+ 1/1
=1+1+1
=3

Like? Yes (1) | No   

rajakumar   10 years AGO

let the no be 1
cube of 1=1
reciprocal of 1 =1
sum =1+1+1======>3

Like? Yes (1) | No   

Bingumalla Abinay   10 years AGO

reciprocal of any number other than 1 will not give integer, so the unknown number is 1, 1+1^3+1/1=3

Like? Yes (1) | No   

chandan kumar yadav   10 years AGO

Let the number be 1
Cube root of 1=1
Reciprocal of 1=1
Adding all we get 3
Hence ans is 3

Like? Yes (1) | No   

Ann Mary Jolly   10 years AGO

If the no. is 1
Then the given sum = 1 + 1^(1/3) + 1/1
= 1 + 1 + 1
= 3

Like? Yes (1) | No   

Hema J   10 years AGO

x is 3.
let the number be y.
given that y+y^(1/3)+(1/y)=x
the value of 1/y is a whole number only if y=1.
so substituting y=1 ,the answer will be 3.

Like? Yes (1) | No   

JAGYANDUTTA CHOUDHURY   10 years AGO

1+cuberoot(1)+reciprocal(1)=1+1+1 is an integer x is 3

Like? Yes (1) | No   

KARTHIGA DEVI.J   10 years AGO

only perfect cube numbers can be taken,
So 1 is the applicable number from the options.
1+cube root(1)+1/1 = 3.
So 3 is the answer.

Like? Yes (1) | No   

kamlesh kumar vishwakarma   10 years AGO

1+cuberoot(1)+(1/1)=3 is an integer..
hence answer is 3

Like? Yes (1) | No