OnMobile Placement Paper Written Test held on 7th Nov

1) There are 10 marbles each of 5 diff colors. what is
the min. num of marbles2 be taken out so that at least 3 marbles are of same color?

2) you need to kill a dragon with 3 heads & 3 tails. you
have a magic sword that can cut 1 head, 2 heads, 1
tail, or 2 tails in 1 swing.
if 1 head is cut -> a new head grows
if 1 tail is cut -> 2 tails grow
if 2 tails are cut -> 1 head grows
if 2 heads are chopped -> nothing grows. What is d min. num of swings to be made?

3) Slow train runs b/w Blore & Mumbai, up as well as
down. It starts at 10:00pm everyday & reaches
destination by 11:30pm after 3 days. If you travel by
Slow train, how many such trains will you encounter
during journey?

4) A num of birds, black & white, are sitting on the
telewire. There is at least 1 bird of each color, also
whenever 2 birds are separated by 4 or 7 other birds
of any color, both birds are of same color. What is the
max. num of birds that can be seated in this fashion?

5) 5 ppl, A, B, C, D, E are supposed 2 cover a certain
distance from their car to a house. There is only 1
umbrella that can be shared by 2 people at a time.
It takes 1min for A 2 cover the dist, B->2 min,
C->5min, D->10min, E->15min.
What is the quickest possible time for the entire group 2 get into the house?

6) Mr.X belongs 2 a group of 8 people including himself. In the meeting, nobody shakes hands with the same person more than once but everyone shakes hands with at least 1 person. After the meeting is over, Mr.X realizes that all the
other people in the party had shook a diff num of hands. How many hands did Mr.X shake?

7) In a contest 3 problems, A, B, C are given
->25 people of the total num of them solved at least 1 problem each.
->Of all the contestants who did not solve A, the num who solved B was twice the num who solved C.
->num of people who solved only A was 1 more than num who solved A & atleast 1 other problem.
->Of all stud who solved just 1 problem , half didn't
solve A

Showing Answers 1 - 2 of 2 Answers

 we have
                   H H H          T T T

 step 1 : cut 1 tail  [  2 new T's ]
                    H H H    T T     T T

step 2 : cut 2 tails [ 1 new H]
                    H H H H    T T

step 3 : cut 2 Heads [ nothing new comes]
                      H H              T T

step 4 : cut 2 Heads [ nothing new comes]
                                         T T

step 5 : cut 1 Tail [2 new T's ]
                                         T T   T                

step 6 : cut  2 Tails[ 1 new H]
                      H                 T

step 7 : cut 1 tail [ 2 new T's]
                      H                T T

step 8: cut 2 tails[ 1 new H ]
                      H H

step 9: cut the 2 heads and the dragon dies coz nothing new comes in ...


:) total of nine swings required...................                      

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