TCS
Company
Numerical Ability
Age Problem
12 people {a1,a2......a12} meet and shake hands in a circular fashion. In other words,there are 36 handshakes involving the pairs {a1,a2},{a2,a3},.....{a11,a12}.{a12,a1}. Then the size of the smallest set of people such that the rest have shaken hands with at least one person in the set is?
Options--> 12,4 18,11
Read Solution (Total 10)
-
- I think its a wrong one. It should be 12 handshakes in place of 36 hand shakes.
- 9 years agoHelpfull: Yes(4) No(0)
- {a1, a2}, {a2, a3},{a3, a4}, {a4, a5},{a5, a6}, {a6, a7} …, {a11,a12}, {a12, a1}
From the above arrangement, If we separate a3, a6, a9, .....a12. Total 4 persons, the remaining persons must have shaked hand with atleast one person. So answer is 4
- 9 years agoHelpfull: Yes(3) No(8)
- 12
as 12 people shake hands in circular fashion so each person have shake hands with atleast one - 9 years agoHelpfull: Yes(1) No(0)
- (a1,a2), (a3,a4),(a5,a6),(a7,a8),(a9,a10),(a11,a12)
so smallest set of people is 12 - 9 years agoHelpfull: Yes(0) No(0)
- Can you please explain this question?
- 9 years agoHelpfull: Yes(0) No(0)
- plz explain the questn
- 9 years agoHelpfull: Yes(0) No(0)
- 12
there are 12 person and each have shake hands at least once - 9 years agoHelpfull: Yes(0) No(1)
- ALL THE PESRSON SITED IN THE CIRCULAR FASHION.
AND ONE PERSON CAN SAKE HAND WITH 2 OTHER PERSON...
SO MINIMUM SET CONTAIN 4.
EXAMPLE--{a1,a5,a8,a11}. - 9 years agoHelpfull: Yes(0) No(0)
- if i consider a1 then the no. of rest set will be 10 in such a way of {a1,a3},{a1,a5}, ........................
if i consider a2 then the no. of rest set will be 9 in such a way of {a2,a4},{a2,a5},...................
in this way we get the rest no. of set 1
but in the question the min no. of set is 4
so the answer is 4.
- 9 years agoHelpfull: Yes(0) No(0)
- answer is 4 because we need to select those people which have shaken hands with different people in the set. i mean put those people in set such that rest will be adjacent to at least one person in the set. Since this set has to be minimum so put {a1,a4,a7,a10} in the set.so answer is 4 (hint: first create a circular set of 12 person and check this adjacent thing)
- 8 years agoHelpfull: Yes(0) No(0)
TCS Other Question