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On a circular track with center at O, A starts at a point P and runs in clockwise direction. At the same time B starts at Q and runs in anti-clockwise direction the angle POQ measured in the clockwise direction is 270 degree. The distance covered by B by the time he meets A for the first time is equal to is equal to the distance covered by A between the first and the second meetings. What fraction of the track length does A cover by the first meeting?
A largest cylinder is cut from a solid cone of Radius R and height H.find the ratio of the Volumes of the cylinder and remaining part of the cone...
My main question is how to start these questions i face huge difficulty whenever this cutting is done in the question
is there a defined 2 solve these kinds of question then kindly share it
Please see attached file. Hopefully have not made any mistake, it has been years since I have done differentiation!
regards
scrabbler
what is the remainder when 2009^2010 is divided by 2011?
When a natural number “p” is multiplied by 4, it gives a perfect cube and when it is multiplied by 9, it gives a perfect square. Find the minimum possible value of the expression p^2- 16p + 1.
TOTAL AMOUNT WITH BOYS:1050
AMOUNT WITH GIRLS:675
1050---675
1125--600
1075--650
1150--575
AMOUNT DOUBLE
Edited: Bill and Clinton take the square of a certain decimal number and express it in base 5 and 6 respectively. Then Bush comes and he takes the two representations and assuming that the expressions are in base 10, adds the numbers. Which number/s from 0 to 9 cannot be the value of the unit's digit of the sum obtained?
Share your approach too.
there are 5 envelopes and corresponding 5 letters . what is the probability that no single letter is placed in the right envelope ?
In a cookie jar, there are 6 chocolate chip cookies and 8 oatmeal cookies. Hungry Paddy takes out the cookies one at a time and proceeds to eat them. The probability that the 7th cookie that Paddy eats is a chocolate chip cookie is a/b, where a and b are positive coprime integers. What is the value of a+b?
if the integers m and n are chosen at random from 1 to 100 then probability that a number of the form 7^m+7^n is divisible by 5 is?
there are 25 points on a plane of which 7 are collinear . how many quadrilaterals can be formed from these points?
5706
2603
13015
42564
2654
AMS employs 8 professor on there staff .their respective probability of remaining in employment for 10 years are .2 .3 .4 .5 .6 .7 .8 .9.the probability that after 10 years atleast 6 of them still work in ams is ?
Let
θ=inverse sin 7/25
Consider the sequence of values defined by
a n=sin(nθ) (this means a of n = a down n)
They satisfy the recurrence relation
a n+2=k1 * an+1+k0 * an , where n belongs to natural no.
(this means a down n+2 = k down 1 * a down n+1 + k down 0 * a down n
for some (fixed) real numbers
k1,k0
The sum
k1+k0 can be written as p/q, where p and q are positive coprime integers. What is the value of p+q ?👍
prob of a wining a game is 2/5 and b is 3/5 . series will win by the person who wins 3 matches . find the prob. that a wins the series.(no draw)
Convex quadrilateral ABCD has sides AB=BC=21, CD=15 and AD=9. Given additionally that ∠ABC=60∘, what is the length of BD?
How many numbers from 1 to 1000 inclusive can be expressed as the sum of k≥2 consecutive positive integers for some value of k?
ABC is a triangle with circumcenter O, obtuse angle BAC and AB
The remainder when 28! is divided by 62 is ...guys plz help..
The remainder when 28! is divided by 62 is ...guys plz help..
62 = 2*31
We find remainders individually by 2 and 31
28!Mod2 = 0
30!Mod31= -1 (Wilson's Thm)
30*29*28!Mod31 = 30
29*28!Mod31 = 1
(-2)28!Mod31 = 1 = 32
28!Mod31 = -16 = 15
So rem is of the form 2x = 31y + 15
Rem = 46