The sum of a number and its reciprocal is equal to 1/10 multiple of the number of playing card in a

Udhaya kumar   11 years AGO

x+(1/x)=(1/10)*52
x^2-5.2x+1=0
by solving we get x= 5,0.2(1/5)

Like? Yes (9) | No (3)  

saurabh anand   11 years AGO

x + 1/x = 52/10

by solving this quadratic of form -
5x^2-26x+5=0
we get, x=5,1/5.

alter,
as, x and 1/x are reciprocal of each other, which is equal to 52/10 or 5.2
where, 5.2 can be separated in the form of 5 and
1/5 i.e. 0.2
so, x = 5 and 1/5.

Like? Yes (3) | No (1)  

Dr.Dipin Singh   11 years AGO

x+1/x= 52/10=5.2
so x=5 or 1/5

Like? Yes (3) | No (1)  

Sunku Mounika   11 years AGO

x+(1/x)=52/10
By solving the equation we get x= 5, 1/5.

so, ans is 8.

Like? Yes (3) | No (1)  

Devendra Marghade   11 years AGO

If number=x
x+(1/x)=(1/10)*52
5x^2-26x+5=0
(5x-1)(x-5)
So x=5, 1/5

Like? Yes (2) | No   

vishal shanker polowalia   11 years AGO

x+(1/X)=(1/10)*52
10x^2+10=52X
10x^2-52x+10=0
after solving we get
x=5 and 1/5

Like? Yes (2) | No (1)  

eeranna   11 years AGO

x+(1/x)=(1/10)52
x^2-5.2x+1=0
from that we are obtaining
x=5,1/5

Like? Yes (1) | No   

Sneghapriya Ravindran   11 years AGO

let number be x
x+(1/x)=(1/10)(52)
by forming quadratic equation 10x^2-52x+10=0
on solving x=5 (or) x=1/5

Like? Yes (1) | No   

krishna   11 years AGO

x+1/x = (1/10*52)
solving above equation we get
x=5 and its reciprocal 1/5

Like? Yes (1) | No   

rajdeep pal   11 years AGO

let the given no be x
reciprocal of the no 1/x
addin of the two no x+1/x
no of cards in a deck 52
acc to the quesn

x+1/x=1/10*52
using sridhancharaya priniciple solve fr x
x=(52+sqrt(52^2-400))/20
x=5
x=(52-sqrt(52^2-400))/20
x=1/5

Like? Yes (1) | No   

Sajib Ghosh   11 years AGO

Let, the number is x
so its reciprocal is 1/x
and there are 52 playing cards

so.. according to the question

x + (1/x) = 52*(1/10)
=>(x^2+1)/x = 26/5
=>5*x^2 + 5 = 26*x
=>5*x^2 - 26*x + 5 = 0

now,applying shridhar acharya's principal we get,

x= -(-26) + (sqrt((-26)^2 -4*5*5)/2*5) --->(1)

and x= -(-26) - (sqrt((-26)^2 -4*5*5)/2*5) --->(2)

from (1) we get
x=5

and from (2) we get
x=1/5

so,, the correct answer is (8)

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SHRISH SHUKLA   11 years AGO

x+(1/x) = (1/10) *52

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Rajdip Sengupta   11 years AGO

the total number of cards in a deck is 52. 1/10 of 52 is 5.2.
So 5 + 1/5 = 5.2 (ans)

Like? Yes (3) | No (2)  

Pradyumna K S   11 years AGO

let the no be x
x + 1/x = 1/10 * 52
x + 1/x = 26/5
by hit and trial
x=5
or solving eq. 5 x^2 - 26 x + 5 = 0
x=5

Like? Yes (2) | No (1)  

vishal barun   11 years AGO

let the number = x
number of cards in a deck = 52

x+1/x = 52/10
5x*x-26x+5=0
solving this quadratic equation , x=5 or x=1/5
ans=option(8)

Like? Yes (1) | No   

Promita Maitra   11 years AGO

x+1/x=52/10
10x^2 + 10 = 52x
factorizing,
(10x-2)(x-5)=0
So, numbers are 5 and its reciprocal 1/5

Like? Yes (1) | No   

julee verma   11 years AGO

there are 52 cards in a deck and let x is a number and its reciprocacal = 1/x then equation will be -
x+1/x=1/10*52
(x^2+1)/x=52/10=26/5
5x^2+5=26x
5x^2-26x+5=0
5x^2-25x-x+5=0
(5x-1)(x-5)=0
x=5,1/5
hence answer=5,1/5

Like? Yes (1) | No   

lovely verma   11 years AGO

let number=x and its reciprocal=1/x and 52 cards in a deck equation=x+1/x=1/10*52
x^2+1/x=26/5
5x^2-26x+5=0
hence x=5,1/5

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AMIT JAISWAL   11 years AGO

according to question
x+(1/x)=52/10
on calculating x = 5,1/5

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hema singh   11 years AGO

because ther are 52 cards in a deck & then putting x=1/x=1/10(52) & solving i got this

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pranitha karnati   11 years AGO

let number is x, then
The sum of a number and its reciprocal= x+(1/x)
number of playing cards in a deck = 52
1/10 multiple of the number of playing card in a deck = (1/10)*52
so from given, x+(1/x)= 52/10
--> 10*((x)sqr) - 52*x + 10 = 0
therefore by solving, x = 5, (1/5)

Like? Yes (1) | No   

D.Mamatha   11 years AGO

There will b 52 cards in a deck.

therefore, X + (1/X) = (1/10)* 52
X + (1/X) = 5.2

X^2 + 1 = 5.2X
X^2-5.2X+1 = 0
By solving this equation
we will get X= 5 & 1/X = 1/5
So Option 8 is correct.

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amit bhagat   11 years AGO

x^2-52x+10=0
on solving we get x=5,1/5

Like? Yes (1) | No   

Harshit Daga   11 years AGO

x+1/x=(1/10)*52
which means x=5, and x=1/5

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anitha   11 years AGO

5 x^2 - 26 x + 5 = 0
x=5

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Gurmeet Singh   11 years AGO

1/10 of deck, i.e., 52 is 5.2
Therefore x+1/x=5.2
=> 5+1/5=5.2
and hence the result.
(x can be obtained by solving the quadratic equation but hit and trial is fairly easier for the given problem)

Like? Yes (1) | No   

mirtunjay verma   11 years AGO

total number of card in desk 52 so 1/10 of number is 5.2,
x+(1/x)=5.2
so number will 5,1/5,,, :)

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chandana   11 years AGO

the number of playing cards in a deck is 52 and also given that the sum of number and its reciprocal=(1/10) multiple of 52 that is 1/10(52)=26/5(on simplifying)
consider option 8
5+(1/5)=26/5(1/10 multiple of 52)
so my answer is 5,1/5(option 8)

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karthick   11 years AGO

let the no be x
x + 1/x = 1/10 * 52
x + 1/x = 26/5
by hit and trial
x=5
or solving eq. 5 x^2 - 26 x + 5 = 0
x=5

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Sandeep Negi   11 years AGO

10x^2-52x+10=0
on solving
x=1/5,5

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ANSHUL KUMAR   11 years AGO

number of card in deck is 52 so x+1/x=52/10=26/5
so x is 5 and 1/x is 1/5

so
5,1/5

Like? Yes (3) | No (3)  

Ankit Goyal   11 years AGO

Number of cards in a deck = 52
1/10 of 52 = 52/10

let the number be x

x + 1/x = 52/10

10x^2 - 52x + 10 = 0
10x^2 - 50x - 2x + 10 = 0
10x(x - 5)-2(x - 2) = 0
(10x - 2)(x - 5) = 0
so x can be 5,1/5

Like? Yes (1) | No (1)  

MADHU KUMARI   11 years AGO

5+1/5=(1/10)*52
(25+1)/5=26/5
26/5=26/5

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sujata   11 years AGO

Assume x to be a number and 1/x its reciprocal.

A standard deck of playing cards consists of 52 Cards.

So the statement "The sum of a number and its reciprocal is equal to 1/10 multiple of the number of playing card in a deck" gives us

x * 1/x = 1/10 * 50

= 10x^2+52x+10=0

solving the equation we get,

x= 5 and 1/5

Like? Yes (1) | No (1)  

K.ARun   11 years AGO

X+(1/X)=52*1/10;
(X^2 + 1)/X = 52/10;
10(X^2 + 1) =52X;
10X^2+10=52X;
10X^2 -52X + 10 =0;
By solving the abv. eqn. using factorisation(50/10X,2/10X) method
We get 5,1/5..

Like? Yes (1) | No (1)  

P Niranjan   11 years AGO

let the number is x
so reciprocal of x is 1/x
x+1/x=no.of cards in a decx/10
x+1/x=52/10
x+1/x=5.2

we can get the answer by checking the options by substituting in the equation

or

x+1/x=5.2
x^2-5.2*x+1=0

x = (-(-5.2)+sqrt(5.2^2-4*1*1))/(2*1)
= 10/2
=5

Like? Yes (1) | No (1)  

Rajasekhar Reddy   11 years AGO

x+1/x = 1/10*52
x^2-5.2x+1 = 0
by solving this equation
we get x = 5 and its reciprocal is 1/5

Like? Yes (1) | No (1)  

R.RAVIKUMAR   11 years AGO

The no.of cards in a deck is 52
so, x+(1/x)=(52/10)
gives, (x^2)-5.2x+1=0
By solving for x, we get x=5,(1/5)

Like? Yes (1) | No (1)  

YUVAN SATHAIAH   11 years AGO

no.of playing cards is 52
x+1/x=1/10*52
x^2+1/x=52/10
52x=10x^2+10
=10x^2-52x+10n
formula:
x=-b^2+(or)-root of(b^2-4ac)/2
=(-52)^2+(or)-root of(52^2-4*10*10)/2*10

solving we get
x=52+(or)-48/20

x=(52+48)/20, x=(52-48)/20
=100/20, =4/20
x=5, x=1/5
answer is 8) 5,1/5

Like? Yes (2) | No (2)  

A.Sivapriya   11 years AGO

As the deck has 52 cards,
form the problem statement we get
x+(1/x)=51/10
so, we get x^2-5.2x+1=0
by solving for x we get x=5 and 1/5

Like? Yes (1) | No (1)  

swastik   11 years AGO

x*1/x=52/10

solving for x we will get ans as 5 and 1/5

Like? Yes (1) | No (1)  

Darsana K   11 years AGO

Let number be x
sum of a number and its reciprocal=x+1/x
number of cards in a deck=52
thus x+1/x=1/10*52
then in standard form,10x^2-52x+10=0
solving using formula
x=(-b±√(b^2-4ac))/2a
we get x=5 or x=1/5

Like? Yes (1) | No (1)  

Dinesh thatti   11 years AGO

from options we go take 5 and reciprocal 1/5 if we sum this we get

5+1/5=5.2 which is equal to 1/10 multiple of playing cards in deck i.e 52

1/10(52)=5.2

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thol   11 years AGO

X+(1/X)=(1/10)*52
by solving the above equation we get 5,1/5.

Like? Yes (1) | No (1)  

Sneha   11 years AGO

x+(1/x)=(1/10)(52)
where 52 is the total number of playing cards in a deck.
By, solving the above eq. we get x=5 or 1/5.

Like? Yes (1) | No (1)  

jayabharathy   11 years AGO

x+1/x=1/10(52)
(x^2+1)/x=52/10
10x^2+10=52x
10x^2-52x+10=0
x=5,1/5

Like? Yes (1) | No (1)  

Bupathikavya   11 years AGO

5+1/5=(1/10)*52

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