disclaimer: this is a made up question, so I don't know if theres a valid solution possible here
First lets talk about the square post,
it is clear that the shot will go in only if the ball hits the side AB of the square shown below, so the probability of a shot going in is simply ##\frac 1 3##...
To approach this, I first assumed the case when the students attempts all the remaining questions.
Probability that they gain 4 marks for a guess = ##\frac 1 4##
Probability that they lose 1 for a guess = ##\frac 3 4##
Now let us say the number of correct guesses = ##r##
Now we should have at...
On simplifying the given equation we get, x^2-x-1=0 and using the quadratic formula we get x=(1+√5)/2 and x=(1-√5)/2
Now, as the formula suggests, there are two possible values for x which satisfies the given equation.
But now, if we follow a process in any general calculator by entering...
I have seen a solution for this question which was as follows,
first out of 15 elements, take away 5, thus there are 11 gaps created for the remaining 10 numbers (say N) as,
_N_N_N_N_N_N_N_N_N_N_
now, now we can insert back the 5 to comply with the non-consecutive stipulation
for which, number...
Since in an elastic collision, both momentum and energy is conserved,
P(initial)=P(final)
m1(3v)=m1v+m2v
m2/m1=2
Which was the given answer but if we use conservation of energy,
K.E(initial)=K.E(final)
1/2*m1*(3v)^2=1/2*m2*v^2+1/2*m1*v^2
m2/m1=8
Why do we get two different answers and why...
I know the conventional method for solving this question using the formula for maximum range of a projectile in an inclined plane, but since it is an objective problem, if we consider a non general case where α=0, then clearly we can see that (see attachment) only one option matches which...