@bullseyes said:for a population of 87,300 only 90 mins???
WILL GO WITH POWER OF 4. CUD HV MADE MISTAKE IN CALC. TOO LAZY TO PIC UP PEN N PAPER
@soham2208 said:4 + 4^2 + 4^3 + ... 4^n >= 87300=> 4/3*(4^n - 1) >= 87300 = > n = 8 approx Ans = 10*n = 80 minutes ?
it will be better if u take a pen and paper and solve it
Coefficient of x^10 in (1-x^5)^4 * (1-x)^-3
10
12
-12
-10
@bullseyes said:it will be better if u take a pen and paper and solve it
So, is this thinking wrong ?
First 4 people -> 10 minutes
Next 16 people (Each of those 4 tell to 4 each simultaneously) -> 10 minutes again
Can they tell the gossip simultaneously ?
@amresh_maverick AM>=GM
2^sinx+2^cosx/2>=sqrt(2^sinx*2^cosx)
2^sinx+2^cosx>=2sqrt(2^sinx+cosx).......(i)
min value of sinx+cosx=-rt2 at x=5pi/4
put the value of sinx+cosx =-rt2 in (i)...u will get the ans..
@amresh_maverick said:OA (_/2)^(2-_/2)approach plzMy sol contains : by symmetry
arey bahi mera bhi sahi tha...solve nhi kiya sahi se
...minimum will be at 5pi/4....
...minimum will be at 5pi/4....when u differentiate it u get pi/4, which will give u maximum value....since it is periodic so minimum will be at (pi+pi/4)=5pi/4..put it and solve u get c
An insect is crawling to climb a 20 metre long pipe of diameter 3.5 metres. If the insect take 4
circular rounds to reach the top of the building, then what will be total distance (in nearer
metres) traveled by insect to reach the top?
(1) 47 m (2) 48 m (3) 49 m (4) 50 m
circular rounds to reach the top of the building, then what will be total distance (in nearer
metres) traveled by insect to reach the top?
(1) 47 m (2) 48 m (3) 49 m (4) 50 m
@amresh_maverick said:Coefficient of x^10 in (1-x^5)^4 * (1-x)^-31012-12-10
1/(1-x) = (1 + x + x^2 + ......)
1/(1-x)^2 = ( 1 + 2x + 3x^2 +....)
1/(1-x)^3 = ( 1 + 3x + 6x^2 + ...(n*(n+1)/2) x^(n-1) + .....) = g(x)
f(x) = (1 - x^5)^4 * g(x)
f(x) = ( 1 - 4C3(1)(x^5) + 4C2(1)(x^10)+ higher terms) * g(x)
Coefficient of x^10 = x^10 in g(x) - 4C3(1)*(x^5 in g(x)) + 4C2(1)*(1 in g(x))
= 66 - 4*21 + 6 = -12 ?
PS: Was just trying something random :P
If g(x) is the least integer function greater than or equal to x, find the value of
g(_/10) + g(_/11) ............. +g(_/100)
693
689
697
none of these
@kumargaurav_bn said:An insect is crawling to climb a 20 metre long pipe of diameter 3.5 metres. If the insect take 4circular rounds to reach the top of the building, then what will be total distance (in nearermetres) traveled by insect to reach the top?(1) 47 m (2) 48 m (3) 49 m (4) 50 m
Is it 48 ?
Open up the pipe and form a rectangle, so with each round:
Height = 5m
Length = 2pi*r = 11m
=> One circle = root(146)
Ans = 4*root(146) = 48.33
@kumargaurav_bn said:An insect is crawling to climb a 20 metre long pipe of diameter 3.5 metres. If the insect take 4circular rounds to reach the top of the building, then what will be total distance (in nearermetres) traveled by insect to reach the top?(1) 47 m (2) 48 m (3) 49 m (4) 50 m
is it 48?
no pen n paper..galat ho sakta hai :|
@amresh_maverick said:If g(x) is the least integer function greater than or equal to x, find the value ofg(_/10) + g(_/11) ............. +g(_/100) 693689697none of these
693
@amresh_maverick said:If g(x) is the least integer function greater than or equal to x, find the value ofg(_/10) + g(_/11) ............. +g(_/100) 693689697none of these
g(_/10) to g(_/16) = 4 => 7 values
g(_/17) to g(_/25) = 5 => 9 values
g(_/26) to g(_/36) = 6 => 11 values
So, in general, Tn for Sum = (n+3)*(2n+5)
Sum = 28 + 45 + 66 + 91 + 120 + 153 + 190 = 693 ?
@kumargaurav_bn said:An insect is crawling to climb a 20 metre long pipe of diameter 3.5 metres. If the insect take 4circular rounds to reach the top of the building, then what will be total distance (in nearermetres) traveled by insect to reach the top?(1) 47 m (2) 48 m (3) 49 m (4) 50 m
48
o.a 48.32
@amresh_maverick said:If g(x) is the least integer function greater than or equal to x, find the value ofg(_/10) + g(_/11) ............. +g(_/100) 693689697none of these
693 ?
10 to 16 -- 7 terms with each being 4
17 to 25 -- 9 terms with each being 9
and so on till 100
@amresh_maverick said:If g(x) is the least integer function greater than or equal to x, find the value ofg(_/10) + g(_/11) ............. +g(_/100) 693689697none of these
OA : 693