n a multiple choice ques having 4 options, one is awarded 1 mark for
correct and -x for wrong ans.
if one answers randomply and get 0 marks find value of x.
(ans is considered correct only when one ticks all the correct options)
x = 1/10 Assuming all combinations of answers possible and are picked from uniformly.
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3x = total = 9*r = 9x/cr Therefore cr = 3
r = # parrots = x/cr -> r = 10
p = # peacocks = x/cp -> cp = 30/28
d = # doves = r+5 = x/cd = x/3+5 ->x(1/2-1/3) = 5 -> x = 30, d=15
cr = cd+1 = 3 -> cd = 2
3x/cr = 2+p = x -> p=28
cr = 3, cd = 2, cp = 28/30
r = 10, d = 15, p = 28
x = 30
total money = 90
a man spends 3 equal sums of money in purchasing doves,parrots and
peacocks.A parrot cost 1 rs more that
a dove.Had the man invested all his money in parrots,he would have been
able to
buy 2 parrots more that the number of peacocks he had purschased
earlier.also the man purchased 5 more
doves than parrots. the total sum of money he spent on purchasing the
birds is equal to 9 times
the total number of parrots he purchased. find the number of doves,
parrots and peacocks
he purchased and total minimum amount of money he spent.
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there is a chain of trianges whose vertices are metal beads. if the
sides of triangles
are formed by joining a single thread to the metal beads what will be
the length of the thread reqd. to form the chain
of 6 triangles of unit sides using 13 beads.
3*6 = 18 units
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I am in a 100-story building. I have with me two glass balls. I know
that if I throw the ball out of the window it will
never break if the floor number is less than F and it will always
break if the floor number is equal or greater than F.
Assuming that I can reuse the glass ball which didn't break, what is
the minimum number of throws required to find F and
the strategy to find F?
Only go to every other floor starting at the second floor and working your way up if the ball breaks go down one floor and check. worst case senario 51 tries.
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One day two mathematicians, Igor and Pavel, meet in the street.
"I have three sons," says Pavel. "The product of their ages is equal to
36." Looking around and then
pointing to a nearby house, Pavel says, "The sum of their ages is
equal to the number of windows in the building over
there."
Igor thinks for a minute and then responds, "Listen, Pavel, I cannot
find the ages of your sons."
"Oh, I am very sorry", says Pavel; "I forgot to tell you that my
oldest son has red hair."
Now Igor is able to find the ages of the brothers. Can you do it?
x*y*z = 36 -> x,y,z = {(6,3,2),(6,6,1),(36,1,1),(12,3,1),(18,2,1),(9,2,2),(4,3,3)}
two of these add to the same sum : 9+2+2=13, 6+6+1=13 by knowing there is a singlular oldest with red hair it must be 9,2,2