A number is such that its one sixth is equal to two third of one fourth of its square. Sum of the po

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27 Jan 2011 Value of number?

A number is such that its one sixth is equal to two third of one fourth of its square. Sum of the possible values of number would be

OPtion

1) 1
2) 2
3) 3
4) 4
5) 5
6) 6
7) 0
8) 7
9) 8
10) 9

Solution

x/6 = 2/3(x2/4)
Implies that x/6 = x2/6
Implies that x = 0, 1
0+1 =1

Correct Option: 1 Best Solution (17)

Dr.Dipin Singh   13 years AGO

x/6 = 2/3 * 1/4 * x^2= 1/6 * x^2
or
x=x^2
or
x^2-x=0
or
x(x-1)=0
means x=0,1.

sum of values = 0+1= 1...option 1

Like? Yes (3) | No   

Saranjit Singh   13 years AGO

the possible values of number would be 1 and 0.
Sum of the possible values of number would be 1+0=1

Like? Yes (2) | No   

Bawa   13 years AGO

X/6 = 1/4 x 2/3 x X^2
or
X^2=X; X=0,1.

sum of possible values = 1+0=1

Like? Yes (2) | No   

~Sandeep~   13 years AGO

As per questions if the required no. is x then,
=> 1/6 x = 2/3 * 1/4 * x^2, Solving x=1

Like? Yes (2) | No   

SHUBHAM   13 years AGO

ACC TO QUESTION

12x^2=12x
12x^2-12x=0
12x(x-1)=0
x=1

Like? Yes (1) | No   

Rohit   13 years AGO

possible values =1,0
Sum of the possible values of number=1

Like? Yes (1) | No   

jackee deori   13 years AGO

let the no. be x
x/6=2/3*1/4*x^2
x=x^2
x^2-x=0
x(x-1)=0
x=1,0
sum=1+0=1

Like? Yes (1) | No   

Mahesh   13 years AGO

A number is such that its one sixth is equal to two third of one fourth of its square.

1 and 0 are such numbers.

sum =1+0=1

Like? Yes (1) | No   

Karan   13 years AGO

A number is such that its one sixth is equal to two third of one fourth of its square. Sum of the possible values of number would be 0+1=1.

Like? Yes (1) | No   

Amit   13 years AGO

let number is x then
x/6=2/3*(1/4*(x*x)) equals
(x*x-x)=0 equals
x*(x-1)=0
so,
x=0,1

Like? Yes (1) | No   

Ranjeet Verma   13 years AGO

x/6=(2/3)*((x^2)/4)
x=0, 1
so sum =0+1=1

Like? Yes (1) | No   

Ranjana Sinha   13 years AGO

x/6=(2/3).(1/4).x^2

Like? Yes (1) | No   

shivali chatterjee   13 years AGO

LET THE NO. BE x.ACCORDING TO PROBLEM-
x/6=2/3*1/4*x^2
OR,x=x^2
OR,x=0,1

Like? Yes (1) | No   

Somil Nain   13 years AGO

x/6=2/3*1/4*x^2

Like? Yes (1) | No   

ravi jha   13 years AGO

(1/6)*x=(2/3)*(1/4)*x*x=1/6 of x*x
so. x*x/6-x/6=0
so x=1 or 0
sum=1

Like? Yes (1) | No   

goutam Choudhury   13 years AGO

let the number is x. so according to condition x/6=2/3*1/4*x^2 hence x^2-x=0 or x(x-1)=o so the possible value of x are 0 and 1. Sum is 1.

Like? Yes (1) | No (1)  

SUDESHNA SEN   13 years AGO

(1/6)*x= (2/3)of (1/4)of x^2
or, (x/6)=(2/3)*(1/4)*x^2
or, (x/6)=(x^2)/6
or, (x^2-x)/6=0
or, x(x-1)=0
So, x=0,1 and sum of the possible values of the number would be= 0+1=1..... Option 1)

Like? Yes (1) | No (1)