If 16% of x = y% of 18, then ratio of Sqrt(x) and 2y must be

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19 Mar 2015 Percentage problem

If 16% of x = y% of 18, then ratio of Sqrt(x) and 2y must be

OPtion

1) 9/16
2) 3/16
3) 3/4
4) 9/4
5) 3/8
6) 9/8
7) 9/2
8) 3/2
9) Nothing can be said
10)None of these

Solution

According to given condition
x/2y = 9/16
so x = 9k and 2y = 16k
Therefore
Sqrt(x)/2y = Sqrt(9k)/16k
Value depend on K
So
Option 9)

Correct Option: 9 Best Solution (19)

SHAHEEN   9 years AGO

16% of x =0.16x
y% of 18=0.18y
0.16x=0.18y
x=1.125y
required ratio =sqrt(x)/2y
=>sqrt(1.125y)/2y
we can't eliminate y and get a numerical value of ratio..
so ans is option 9

Like? Yes (9) | No   

alety kiranmai   9 years AGO

16% of x =0.16x
y% of 18=0.18y
0.16x=0.18y
x=1.125y
required ratio =sqrt(x)/2y
=sqrt(1.125y)/2y

so ans is option 9

Like? Yes (3) | No   

HARMEET KAUR   9 years AGO

One possible ans is 3/16. It it is not unique.
x/y = 9/8 = 36/32
In that case, if x=36,y=32,
then
ratio of Sqrt(x) and 2y = 6/64= 3/32 which is different.
so nothing can be said.

Like? Yes (2) | No   

nikita agrawal   9 years AGO

16% 0f x = y% of 18

16/100 *x = y/100 * 18

8x = 9y

y= 8x/9

now sqrt(x):2y = sqrt(x)/(2*8x/9)

= sqrt(x)/16x/9

=9*sqrt(x) / 16x...

similarly,, if we solve it in the term of y, then

ratio will be --> 3*sqrt(y)/4*y*sqrt(2)

therefore,, nothing can be said..

Like? Yes (2) | No   

praneshkumar93   9 years AGO

sqrt make it impossible to cancel the variable

Like? Yes (1) | No   

SHREY KASERA   9 years AGO

as given x/y=9/8
no way to calculate ?x/2y

Like? Yes (1) | No   

anu   9 years AGO

Answer is dependent value of x

Like? Yes (1) | No   

ankit singh   9 years AGO

data is inadequate.

Like? Yes (1) | No   

anureet   9 years AGO

16x/100=18y/100
=> x=9y/4
=>sqrt(x)/2y=3/9(sqrty)
y >=0
hence answer is nothing can be said

Like? Yes (1) | No   

KALYAN KUMAR REDDY VALLURU   9 years AGO

cannot say

Like? Yes (1) | No   

darshana kumrawat   9 years AGO

there can be multiple values

Like? Yes (1) | No   

DEEPAK   9 years AGO

Value of y^0.5 can not be determined

Like? Yes (1) | No   

shabana banu shaik   9 years AGO

as we dont knw the value of y......8x=9y is the relation b/w them

Like? Yes (1) | No   

Madhumoy Gope   9 years AGO

nothing can be said about this ratio

Like? Yes (1) | No   

sheikh shahrukh   9 years AGO

the equation reduces to.....
16x=18y
taking under root both side
4*sqrtof(x)=3*sqrtpf(2y)
so.....
sqrtof(x/2y)=3/4...
but we have to find sqrtof(x) / 2y
so it cannot be determined and the answer can be anything from the given values so nothing can be said......
OPTION 9 is correct.......

Like? Yes (1) | No   

A SANDEEP   9 years AGO

after calculating the given relation, we found
x*16=y*19
so we dont know the exact value of x and y.

Like? Yes (1) | No   

kajal   9 years AGO

value of x and y can not be verified

Like? Yes (1) | No   

RAKESH   9 years AGO

16x = 18y
2y = 8x

Sqrt(x) / 2y = Sqrt(x) / 8x
ratio will dependent on value of x or y.

Like? Yes (1) | No   

vivek   9 years AGO

not possible

Like? Yes (1) | No