Ye raha question!




MM sir ke alawa hamari kaun sunta hai PG par!

Guys tic tac toe = x and zero wala game.

rohitpal Says

kindly show us the differentiation approach. also explain maxima and minima as mentioned by ur fellow pg friend manganese.

hey don't do this mistake alankrita maate = manganese bhai = friend = :nono::nono::nono:


Two indian tourists in the US cycled towards each other, one from point A and the other from point B. The first tourist left point A 6 hrs later than the second left point B, and it turned out on their meeting that he travelled 12 km less than the second tourist. After their meeting, they kept cycling with the same speed, and the first tourist arrived at B 8 hours later and the second arrived at A 9 hours later. Find the speed of the faster tourist.

Ye raha question!

Ek self made sawaal.
In the game of tic-tac-toe, where should one put the first mark in order to maximize his chances of winning? And why?

MM sir ke alawa hamari kaun sunta hai PG par!
central position hi hai. In that way, we can cover maximum solution sets(vertical,horizontal or diagonal lines).

u can do it by using two methods :
1) by making Perfect Squares
2) by using Differentiation

Tell me the approach which u want me to explain...both i cant..:D ( tooo explanatory....bahut likhna padega:D )

kindly show us the differentiation approach. also explain maxima and minima as mentioned by ur fellow pg friend manganese.

cylinder ko open kar ek rectangle bana diya jae!

Dimensions of the triangle: 2*pi*6/pi=12 and height/2=10
Ant travels along the hypotenuse: Length: _/244
Total distance: 2*_/244=4_/61

Where is your Tic Tac Toe question?

Anyway, is it the centre position?

Probability at the centre is 4/9 where as at other positions its 3/9

sahilmadan Says

Can u please tell ur approach?

u can do it by using two methods :
1) by making Perfect Squares
2) by using Differentiation

Tell me the approach which u want me to explain...both i cant..:D ( tooo explanatory....bahut likhna padega:D )

17x2 + 5y2 + 12xy + 10x 8y + 40 = (3x + 2y - 1)^2 + 8(x + 1)^2 + (y - 2)^2 + 27
so minimum at
x=-1
and y=2
so 27

Differentiate w.r.t. x

So, d/dx{17x2 + 5y2 + 12xy + 10x 8y + 40} = 34x + 10y(dy/dx) + 12y + 12x(dy/dx) + 10 8(dy/dx)

Put, dy/dx = 0
So, 34 + 12y + 10 = 0
One value : x=-1 y=2
So, Minimum Value = 27

(we can double differentiate and check how will it be minimum)

alankritaa Says

Answer is option(2) i.e 27

17x2 + 5y2 + 12xy + 10x 8y + 40 = (3x + 2y - 1)^2 + 8(x + 1)^2 + (y - 2)^2 + 27

first look at 12xy ..we need to get rid of it..so
12xy can be written as 3x and 2y and 2 of form 2ab..
now if we take 3x and 2y..we will see that we are also getting
after squaring we are left with 8x^2 and y^2..to make them square we need 16x and -4y..after removing this we are left with
-4y which can be witten as 2*2*y and -6x which can be witten as
2*3*x..so we can put -1 and get a eqn below
so
(3x+2y-1)^2=9x^2+4y^2+1+12xy-4y
and similiarly rest terms are made

rohitpal Says

dude. i m from commerce background. plz tell me what to do after this step. it would be in the best interest of everyone on pg if u could shed some light on this technique ,

bhai logo commerce walo dhyan rakh liya karo koi non- technical soln hai iska???

d2/dx2(f(x)) = 34 > 0
Hence, it is a case of minima

dude. i m from commerce background. plz tell me what to do after this step. it would be in the best interest of everyone on pg if u could shed some light on this technique ,

17x2 + 5y2 + 12xy + 10x 8y + 40 = (3x + 2y - 1)^2 + 8(x + 1)^2 + (y - 2)^2 + 27
so minimum at
x=-1
and y=2
so 27

Bhai isse squares mein banane ke liye is thr any technique or just observation?

rohitpal Says

kindly explain how u managed to get ( 3x + 2y - 1 ) ^2 ...l. tell me the mental approach. it would be very helpful

17x2 + 5y2 + 12xy + 10x - 8y + 40 = (3x + 2y - 1)^2 + 8(x + 1)^2 + (y - 2)^2 + 27

first look at 12xy ..we need to get rid of it..so
12xy can be written as 3x and 2y and 2 of form 2ab..
now if we take 3x and 2y..we will see that we are also getting
after squaring we are left with 8x^2 and y^2..to make them square we need 16x and -4y..after removing this we are left with
-4y which can be witten as 2*2*y and -6x which can be witten as
2*3*x..so we can put -1 and get a eqn below
so
(3x+2y-1)^2=9x^2+4y^2+1+12xy-4y
and similiarly rest terms are made..
@sahilmadan bas karte gaya aur ye form adjust ho gaya..koi pattern nahi hai.. ye parabola jaise eqn ke time kaam aata tha..
waise Mn bhai ka method accha hai..aur ab to me d/dx bhool gaya hoon..kal hi ghar jaake rd sharma dekhta hoon

rohitpal Says

kindly double differentiate and show it to us.

d2/dx2(f(x)) = 34 > 0
Hence, it is a case of minima

It is fine. Commerce is good :)

Anyway, we have 34x + 12y + 10 = 0 (I missed 'x' there)
So, d2/dx2(y) = d(34x + 12y + 10)/dx = 34 + 12dy/dx

Since, dy/dx = 0

So, d2/dx2(y) = 34

alankritaa Says

Answer is option(2) i.e 27

Can u please tell ur approach?

Differentiate w.r.t. x

So, d/dx{17x2 + 5y2 + 12xy + 10x 8y + 40} = 34x + 10y(dy/dx) + 12y + 12x(dy/dx) + 10 8(dy/dx)

Put, dy/dx = 0
So, 34 + 12y + 10 = 0
One value : x=-1 y=2
So, Minimum Value = 27

(we can double differentiate and check how will it be minimum)

kindly double differentiate and show it to us.

The minimum value of 17x2 + 5y2 + 12xy + 10x 8y + 40 for real x, y is :
1)40
2)27
3)31
4)0
5)16

Answer is option(2) i.e 27

The minimum value of 17x2 + 5y2 + 12xy + 10x - 8y + 40 for real x, y is :



1)40
2)27
3)31
4)0
5)16

Differentiate w.r.t. x

So, d/dx{17x2 + 5y2 + 12xy + 10x - 8y + 40} = 34x + 10y(dy/dx) + 12y + 12x(dy/dx) + 10 - 8(dy/dx)

Put, dy/dx = 0
So, 34x + 12y + 10 = 0
One value : x=-1 y=2
So, Minimum Value = 27

(we can double differentiate and check how will it be minimum)

17x2 + 5y2 + 12xy + 10x 8y + 40 = (3x + 2y - 1)^2 + 8(x + 1)^2 + (y - 2)^2 + 27
so minimum at
x=-1
and y=2
so 27

kindly explain how u managed to get ( 3x + 2y - 1 ) ^2 ...l. tell me the mental approach. it would be very helpful

someone plz solve this question and also explain how to solve similar questions ,

The minimum value of 17x2 + 5y2 + 12xy + 10x 8y + 40 for real x, y is :
1)40
2)27
3)31
4)0
5)16

The minimum value of 17x2 + 5y2 + 12xy + 10x 8y + 40 for real x, y is :
1)40
2)27
3)31
4)0
5)16

17x2 + 5y2 + 12xy + 10x 8y + 40 = (3x + 2y - 1)^2 + 8(x + 1)^2 + (y - 2)^2 + 27
so minimum at
x=-1
and y=2
so 27

the options are
1. 2_/61
2. 4_/61
3. 24
4. 52
5. 60

and the answer given is 2nd option...are u sure that your solution is correct ?

getting 4root61
total horizontal4*pi*r
=24
and verical..20
so 2^6*3^2+2^4*5^2
so
4root61

The minimum value of 17x2 + 5y2 + 12xy + 10x 8y + 40 for real x, y is :



1)40
2)27
3)31
4)0
5)16

the options are
1. 2_/61
2. 4_/61
3. 24
4. 52
5. 60

and the answer given is 2nd option...are u sure that your solution is correct ?

I think I am......just my calculation is wrong :D
The answer will be 4_/61

Horizontal Distance covered by ant = 2*2(pi)*r = 2*2*(pi)*6/(pi) = 24
Vertical Distance covered by the ant = 20

Hence, total distance = _/(20^2 + 24^2) = 24_/2
___________________________________________________________________

the options are
1. 2_/61
2. 4_/61
3. 24
4. 52
5. 60

and the answer given is 2nd option...are u sure that your solution is correct ?

option 1 dude. as 35 factorial twice will give u 1 squared, 2 squared, uptil 35 squared, now only 36 is left , we know that 36 is the square of 6, so option 1 is a perfect square.

help on this
which one of the foll is a perfect square??
1) 35!*36!
2)37!*38!
3)34!*37!
4)36!*37!

P.S. No Oa

Pls solve this question--
An ant starts from a point on the bottom edge of a right circular cylinder and moves in spiral manner along the curved surface area such that it reaches the top of cylinder at a point directly above the starting point in exactly 2 identical spirals. Find the distance covered by the ant if the radius of the cylinder is 6/pie
and height is 20 units ....

getting (4*sqrt(61))

angrezo ka raaj phir se ayega bhai logo

There are 2 solutions X and Y containing olive oil and mustard oil in the ratio 11:3 and 2:5.If the two solutions are mixed in the ratio m:n to give a new solution that has 50% olive oil.find m:n

CL mock ka hai kya bhai??? kahin dekha hu ee question ku .. 3: 4

angrezo ka raaj phir se ayega bhai logo

There are 2 solutions X and Y containing olive oil and mustard oil in the ratio 11:3 and 2:5.If the two solutions are mixed in the ratio m:n to give a new solution that has 50% olive oil.find m:n

X...1100...300
Y.....200..500
11/14------2/7
----1/2----
3/14--------4/14so
m:n....3:4
@jain bhai bura ye hai ki do non returning indian ne meilke haraya india ko:splat:

Pls solve this question--
An ant starts from a point on the bottom edge of a right circular cylinder and moves in spiral manner along the curved surface area such that it reaches the top of cylinder at a point directly above the starting point in exactly 2 identical spirals. Find the distance covered by the ant if the radius of the cylinder is 6/pie
and height is 20 units ....

cylinder ko open kar ek rectangle bana diya jae!

Dimensions of the triangle: 2*pi*6/pi=12 and height/2=10
Ant travels along the hypotenuse: Length: _/244
Total distance: 2*_/244=4_/61

Ek self made sawaal.
In the game of tic-tac-toe, where should one put the first mark in order to maximiza his chances of winning? And why?

There are 2 solutions X and Y containing olive oil and mustard oil in the ratio 11:3 and 2:5.If the two solutions are mixed in the ratio m:n to give a new solution that has 50% olive oil.find m:n


3:4?

Alligation :

m:n = (1/2-2/7):(11/14-1/2) = 3:4 ???

RC89 Says

Jain bhai.. 3:4 aa rha hai mera ans toh ???

Ye to simple alligation hai yaar :

11/14------------2/7
----------1/2--------
3/14-------------4/14

So, 3:4

mytotemspins Says

3:4 aa raha bhai

yup :thumbsup::thumbsup:

jain4444 Says

There are 2 solutions X and Y containing olive oil and mustard oil in the ratio 11:3 and 2:5.If the two solutions are mixed in the ratio m:n to give a new solution that has 50% olive oil.find m:n

getting 3:4

angrezo ka raaj phir se ayega bhai logo

There are 2 solutions X and Y containing olive oil and mustard oil in the ratio 11:3 and 2:5.If the two solutions are mixed in the ratio m:n to give a new solution that has 50% olive oil.find m:n

3:4 aa raha bhai

angrezo ka raaj phir se ayega bhai logo

There are 2 solutions X and Y containing olive oil and mustard oil in the ratio 11:3 and 2:5.If the two solutions are mixed in the ratio m:n to give a new solution that has 50% olive oil.find m:n

Ye to simple alligation hai yaar :

11/14------------2/7
----------1/2--------
3/14-------------4/14

So, 3:4

Pls solve this question--
An ant starts from a point on the bottom edge of a right circular cylinder and moves in spiral manner along the curved surface area such that it reaches the top of cylinder at a point directly above the starting point in exactly 2 identical spirals. Find the distance covered by the ant if the radius of the cylinder is 6/pie
and height is 20 units ....

Horizontal Distance covered by ant = 2*2(pi)*r = 2*2*(pi)*6/(pi) = 24
Vertical Distance covered by the ant = 20

Hence, total distance = _/(20^2 + 24^2) = 4_/61 ("Oops" Error)
__________________________________________________________________________
Remember remember the fifth of November
Gunpowder, treason and plot.
I see no reason why gunpowder, treason
Should ever be forgot...

angrezo ka raaj phir se ayega bhai logo

There are 2 solutions X and Y containing olive oil and mustard oil in the ratio 11:3 and 2:5.If the two solutions are mixed in the ratio m:n to give a new solution that has 50% olive oil.find m:n

Jain bhai.. 3:4 aa rha hai mera ans toh ???

vikasneuer Says

Chandra bhai kya aapko poora vishwaas hai ki aapne sahi prashn ka uttar dekha hai? :D:D

ha yar!!!! question number bhi das bar check kiya hu... aur dono paper to agal bagal me rakha hu.. aur wo jo 111 ka funda hai.. wo aas pass ke konse bhi question me nahi hai!!!! to hum bhi to kya soche????:shocked:

angrezo ka raaj phir se ayega bhai logo

There are 2 solutions X and Y containing olive oil and mustard oil in the ratio 11:3 and 2:5.If the two solutions are mixed in the ratio m:n to give a new solution that has 50% olive oil.find m:n

Alligation :

m:n = (1/2-2/7):(11/14-1/2) = 3:4 ???

There are 2 solutions X and Y containing olive oil and mustard oil in the ratio 11:3 and 2:5.If the two solutions are mixed in the ratio m:n to give a new solution that has 50% olive oil.find m:n


3:4?

Pls solve this question--
An ant starts from a point on the bottom edge of a right circular cylinder and moves in spiral manner along the curved surface area such that it reaches the top of cylinder at a point directly above the starting point in exactly 2 identical spirals. Find the distance covered by the ant if the radius of the cylinder is 6/pie
and height is 20 units ....

Puys, sorry for SPAM !!!

INDIA lost the T20 match... :-(

India lost:banghead::banghead:
Panditji kuc kijiye
@chandrakant OA kuch bhi hone do jo method sahi lage ussipe lage rahoo :)

angrezo ka raaj phir se ayega bhai logo

There are 2 solutions X and Y containing olive oil and mustard oil in the ratio 11:3 and 2:5.If the two solutions are mixed in the ratio m:n to give a new solution that has 50% olive oil.find m:n

To all: pata hai, that was an eay question.. but jo maine OA me pada, question se to kuch relate hhi nahi tha..
bahut bada hai explanation..
will type few lines here
111 = 37*3 . therefore we find the remainder when the exp is divided by both 3 and 37.. last line remainder with 111 = 2.. any methos aisa hai kya??

P.S. as explained by u all 36*35!^2 se seedha nikalta hai!! but ye upar wala explaination kya hai?? koi method aisa hai kya???:shocked:

Chandra bhai kya aapko poora vishwaas hai ki aapne sahi prashn ka uttar dekha hai? :D:D

Ek self made sawaal.
In the game of tic-tac-toe, where should one put the first mark in order to maximize his chances of winning? And why?

India lost:banghead::banghead:..dono non returning indian ne hara diya
Panditji kuc kijiye
@chandrakant OA kuch bhi hone do jo method sahi lage ussipe lage rahoo

To all: pata hai, that was an eay question.. but jo maine OA me pada, question se to kuch relate hhi nahi tha..
bahut bada hai explanation..
will type few lines here
111 = 37*3 . therefore we find the remainder when the exp is divided by both 3 and 37.. last line remainder with 111 = 2.. any methos aisa hai kya??

P.S. as explained by u all 36*35!^2 se seedha nikalta hai!! but ye upar wala explaination kya hai?? koi method aisa hai kya???:shocked:

Puys, sorry for SPAM !!!

INDIA lost the T20 match...

help on this
which one of the foll is a perfect square??
1) 35!*36!
2)37!*38!
3)34!*37!
4)36!*37!

P.S. No Oa

sidhe option1 me nishana..
hey iam addicted pagal now

help on this
which one of the foll is a perfect square??
1) 35!*36!
2)37!*38!
3)34!*37!
4)36!*37!

P.S. No Oa

i think we can eliminate last two options easily because they have only one 37

now,if we check 35!*36!

35!^2*6!^2

help on this
which one of the foll is a perfect square??
1) 35!*36!
2)37!*38!
3)34!*37!
4)36!*37!

P.S. No Oa

it is option 1... 35!*36!

35!*35!* 36 => (35!)^2 * (6)^2
:gm

For graph transformations and all...

Graps & modulus functions

@Hi5 : Hearty congratulations and loads of hi5s
@suja : Kholiye apne koshans ka pitara :)
__________________________________________________________________________
Remember remember the fifth of November
Gunpowder, treason and plot.
I see no reason why gunpowder, treason
Should ever be forgot...

help on this
which one of the foll is a perfect square??
1) 35!*36!
2)37!*38!
3)34!*37!
4)36!*37!

P.S. No Oa

option 1???
35!*36!
35!*35!*36
(35!)^2*6^2

---------------------------------------
HAPPY GANESH CHATURTHI to all

getting 9

(1, 71),
(2, 47),
(3,35),
(5, 23),
(7, 17),
(8, 15),
(11, 66)
(13, 65),
(26,39)

any missed ???

nhii sirjii ..
Hum hi 11 aur 11 ka lcm 121 le liye the
office env mein thoda bahut jhol to chalta hai :P

@alankrita madam -- dekhiye kitna kuch hai aapse seekhne k liye aur aap bas uttar de deti hai :)

answer should be 6
jo no. list kiye hai unmein se 3 mein common factor aa rha hai
t

help on this
which one of the foll is a perfect square??
1) 35!*36!
2)37!*38!
3)34!*37!
4)36!*37!

P.S. No Oa

Answer is option(1)..

help on this
which one of the foll is a perfect square??
1) 35!*36!
2)37!*38!
3)34!*37!
4)36!*37!

P.S. No Oa

yaar
35!x36! Hoga

help on this
which one of the foll is a perfect square??
1) 35!*36!
2)37!*38!
3)34!*37!
4)36!*37!

P.S. No Oa

Option 1
35!*36!
=>(35*34*32.....1)*(36*35*34......1)
=>(35*34...1)*36
=>(35*34...1)*6

help on this
which one of the foll is a perfect square??
1) 35!*36!
2)37!*38!
3)34!*37!
4)36!*37!

P.S. No Oa

option 1

help on this
which one of the foll is a perfect square??
1) 35!*36!
2)37!*38!
3)34!*37!
4)36!*37!

P.S. No Oa

35! * 36! = 35! * 36*35! = (35!)^2 * 6^2.
So, it is a perfect sqaure.

help on this
which one of the foll is a perfect square??
1) 35!*36!
2)37!*38!
3)34!*37!
4)36!*37!

P.S. No Oa

Ye kya hai chandra bhai?
1) is 36(35!)^2=6^2*35!^2
1) is the answer

help on this
which one of the foll is a perfect square??
1) 35!*36!
2)37!*38!
3)34!*37!
4)36!*37!

P.S. No Oa

Ye wala khud se kar le...

Hint : 37!*38! = *38, but 38 is not a perfect square!

Le sab log to bata hi diye...

What is the highest power of 3 in (11^972 - 1)
Please share the approach also while posting answers.

P.S - I dont have OA

Would have been easier with options, and then using backtracking.

We have to find the highest power of 3 that leaves the remainder of 1 when divided from 11^972.

Means, E(required number) = 1.
For 3^6, i.e., 729, E(729) = 486
So, 11^972 % 729 = (11^486)^2 % 729 = 1.

So, n = 6 ???

help on this
which one of the foll is a perfect square??
1) 35!*36!
2)37!*38!
3)34!*37!
4)36!*37!

P.s. No oa

1)35!*36!

36!=36*35!

=>35!*35!*36 =>(35!*6)^2

sach me mujhe bhi 08 dikh raha hai!!! kash aisa question CAT me aata.. aur option bhi hota!!!


not to spam..
ye lo..
N has f factors, 2N has 2f factors, 6N has 4f, 15N has 3f.. how many factors does 30N has??

N has f cator
2N has 2f factor....which mean power of two in N is 0
6N has 4f factor...which mean power of three in N is also 0
so 15N has 3f...that mean power of 5 was one ..
so number is of form..
x^n*5..has (n+1)*2=f
x^n*5*2*3*5..will have (n+1)*3*2*2=12(n+1)
so 6f

help on this
which one of the foll is a perfect square??
1) 35!*36!
2)37!*38!
3)34!*37!
4)36!*37!

P.S. No Oa