ShoutBox (Part 1)

Jobs & Careers
14702
@hanushanand said:
Arey, Sir jee.. Ek question aaya tha naa Mock me! Goat tied at a corner of a Rectangle (14mx7m) with 21 m rope! Had to find the area, except the rectangle! Wo wala kiya tha aapne?? Mujhse to nhi hua tha!!
Haan kiya tha .. par main gadha.. saala rectangle bhi jod diya.. kyunki mujhe laga.. gaaye ko agar charna hai .. to rectangle ke andar bhi charegi :splat:

Uska solution to aa gaya, wohi kiya tha maine jo solution me tha ..
14703
@hanushanand said:
Arey, Sir jee.. Ek question aaya tha naa Mock me! Goat tied at a corner of a Rectangle (14mx7m) with 21 m rope! Had to find the area, except the rectangle! Wo wala kiya tha aapne?? Mujhse to nhi hua tha!!
TIME waale solution ka figure dekhlo...phir apne aap aa jayega 😛
14704

Concept of meeting points on a circle:


Speed in the ratio m:n
1. Opposite direction => (m+n) meeting points, at 2pi*k/(m+n) , where k = 0,1...m+n-1
2. Same direction => (m-n) meeting points, at 2pi*k/(m-n), where k = 0,1,..m-n-1

14705

I don't have OA:


x + 2y + 3z = 45 (Number of possible integer solutions, x,y,z >=0)

@hanushanand @fisherking
14706
@YouMadFellow said:
Concept of meeting points on a circle:
Speed in the ratio m:n
1. Opposite direction => (m+n) meeting points, at 2pi*k/(m+n) , where k = 0,1...m+n-1
2. Same direction => (m-n) meeting points, at 2pi*k/(m-n), where k = 0,1,..m-n-1
agar ratio 3:5 hai to opp direction me 8 meeting points kahan hote hain :wow:
14707
@YouMadFellow said:
2 hai ?
Tn = n^2 + 3n + 1 / (n^2) * ( n+1)^2 => n*(n+ 1) + 2n+ 1 / (n^2)*(n+1)^2
=> Tn = (1/n - 1/(n+1)) + ( 1/n^2 - 1/(n+1)^2))
Affirmative sir.. answer 2 hi hai!!
14708
@YouMadFellow said:
I don't have OA:
x + 2y + 3z = 45 (Number of possible integer solutions, x,y,z >=0)
aise question hum to hadd gandi tarah karte hain z=1 fir x+2y=42 isme bahut lamba ho jaayega :banghead:...wo tab hi theek hai jab sirf ek 2 ya 3 ho
14709
@YouMadFellow said:
I don't have OA:
x + 2y + 3z = 45 (Number of possible integer solutions, x,y,z >=0)
276 hai kya?? I guess.. sab se 23,22,21... solns aa rhe hai respectively.. on putting z=0,1,2,3... till 15!!
14710
@anupam001 said:
agar ratio 3:5 hai to opp direction me 8 meeting points kahan hote hain
Yeh circle hai . To kitne honge ? Kal se yeh meeting points ka concept pareshaan kar raha hai ...
45, 90, 135, 180,225,270,315, 360 .. => Yeh hone chahiye naa ?
14711
@hanushanand said:
276 hai kya?? I guess.. sab se 23,22,21... solns aa rhe hai respectively.. on putting z=0,1,2,3... till 15!!
Mere 192 aa rahe hai..

z = 0 -> x+ 2y = 45 => 23 solutions
z = 1 -> x + 2y = 43 => 22 solutions
z = 2 -> x + 2y = 39 => 20 solutions
...
(23 + 22) + (20 + 19) + .... (2 +1) = (3 + 45) * 8/2 = 192
14712
@YouMadFellow said:
Yeh circle hai . To kitne honge ? Kal se yeh meeting points ka concept pareshaan kar raha hai ...
45, 90, 135, 180,225,270,315, 360 .. => Yeh hone chahiye naa ?
Affirmative! Aisa hi hota hai!
14713
@YouMadFellow said:
Mere 192 aa rahe hai..
z = 0 -> x+ 2y = 45 => 23 solutions
z = 1 -> x + 2y = 43 => 22 solutions
z = 2 -> x + 2y = 39 => 20 solutions
...
(23 + 22) + (20 + 19) + .... (2 +1) = (3 + 45) * 8/2 = 192
Haan! aapka hi sahi hai! I dint calculate poora, to guess mara tha!
14714
@YouMadFellow said:
Mere 192 aa rahe hai..
z = 0 -> x+ 2y = 45 => 23 solutions
z = 1 -> x + 2y = 43 => 22 solutions
z = 2 -> x + 2y = 39 => 20 solutions
...
(23 + 22) + (20 + 19) + .... (2 +1) = (3 + 45) * 8/2 = 192
Mera bhi yahi aaya...Sahi hoga
14715
@YouMadFellow
The functions f(x) and g(x) are defined as: f(x) = f(x – 1) + x and g(x) = g(x – 1) + f(x), where x is an integer greater than or equal to 1. If f(0) = 0, then the value of k, for which g(k) – g(4) = g(10) – g(8), is
a) 8
b) 6
c) 9
d) 12
e) NOT
14716
@hanushanand said:
@YouMadFellow
The functions f(x) and g(x) are defined as: f(x) = f(x – 1) + x and g(x) = g(x – 1) + f(x), where x is an integer greater than or equal to 1. If f(0) = 0, then the value of k, for which g(k) – g(4) = g(10) – g(8), is
a) 8 b) 6 c) 9 d) 12 e) NOT
8 ?

f(x) = x*(x+1)/2 ..Observation

g(x) = g(x-1) + x*(x+1)/2
x=> x+1 and add
g(x+1) - g(x-1) = (x+1)^2

=> g(10) - g(8) = 10^2

g(8) - g(6) = 8^2
g(6) - g(4) = 6^2
g(8)- g(4) = 10^2

k = 8
14717
@YouMadFellow said:
8 ?
f(x) = x*(x+1)/2 ..Observation
g(x) = g(x-1) + x*(x+1)/2
x=> x+1 and add
g(x+1) - g(x-1) = (x+1)^2
=> g(10) - g(8) = 10^2
g(8) - g(6) = 8^2
g(6) - g(4) = 6^2
g(8)- g(4) = 10^2
k = 8
Yes boss! Aap to bas fode hi pade ho!! 😛
14718
@hanushanand said:
Yes boss! Aap to bas fode hi pade ho!!
Time laga.. isliye no use
14719

Some formulae:


1. Perfect numbers = (2^(p-1))* (2^p - 1)
2. LCM X HCF = product of numbers

3. Lateral surface area of a cube/cuboid = 4a^2 / 2*(lh+bh)
4. Total surface area of a cube = 6a^2 / 2*(lh + bh + lb)

5. Total number of functions from A (n) -> B (m) = n^m

14720
@YouMadFellow said:
Yeh circle hai . To kitne honge ? Kal se yeh meeting points ka concept pareshaan kar raha hai ...
45, 90, 135, 180,225,270,315, 360 .. => Yeh hone chahiye naa ?
jitna mujhe pata hai 3:5 is similar to 1:3 jiske 4 meeting point honge 90 180 270 360
14721
@YouMadFellow said:
Some formulae:
1. Perfect numbers = (2^(p-1))* (2^p - 1)
2. LCM X HCF = product of numbers
3. Lateral surface area of a cube/cuboid = 4a^2 / 2*(lh+bh)
4. Total surface area of a cube = 6a^2 / 2*(lh + bh + lb)
5. Total number of functions from A (n) -> B (m) = n^m
Thanks for 5! Waise, Onto, Into functions bhi bataa do!!
And, Mean, median and mode me kya relation hota hai??