Verbal Reasoning - Arithmetic Reasoning - Discussion
Discussion Forum : Arithmetic Reasoning - Section 1 (Q.No. 18)
18.
A man wears socks of two colours - Black and brown. He has altogether 20 black socks and 20 brown socks in a drawer. Supposing he has to take out the socks in the dark, how many must he take out to be sure that he has a matching pair ?
Answer: Option
Explanation:
Since there are socks of only two colours, so two out of any three socks must always be of the same colour.
Discussion:
22 comments Page 1 of 3.
Aaaaa said:
1 decade ago
22 is the ans. Highest no we have 2 take and a take two from remaining.
Sminu said:
1 decade ago
Why cant all three of them be of the same colour?
Abinash said:
1 decade ago
There are possibilities that all the three socks of same colour. So answer should be 22.
Nag said:
1 decade ago
3 is the right answer. Even if you have all 3 of the same colour, you still have a matching pair :).
Geek said:
1 decade ago
For people who are saying that answer should be 22.
He need to find a matching pair. Not the matching pair of particular color. So taking any 3 he will ensure that he has found 1 pair.
Hope you get my point. :).
He need to find a matching pair. Not the matching pair of particular color. So taking any 3 he will ensure that he has found 1 pair.
Hope you get my point. :).
Kavik said:
1 decade ago
Hi Geek: The man should have to take out a matching pair.
If he need just a pair of socks, 2 socks itself are enough.
So the answer should be 22.
If he need just a pair of socks, 2 socks itself are enough.
So the answer should be 22.
Anish Varghese said:
1 decade ago
Guys here the person just needs one pair of socks to wear either Black or Brown, So if he takes out 3 socks them he may get all 3 black or Brown or 1 Black and 2 Brown socks or 2 Black and 1 Brown socks so any one will make a pair so the problem will be solved. So answer is Three. If still not understood please try once with 20 pair of socks thank You.
Manik said:
1 decade ago
3 is the answer.
The possibilities are: Black black brown, black black black, black brown brown, or brown brown brown.
Question is, how many socks you have to take, so that you have at least one pair of socks, of same color.
Answer is obviously 3, when you take more than 20, you will be having at least more than 5 pairs of socks, of same color.
The possibilities are: Black black brown, black black black, black brown brown, or brown brown brown.
Question is, how many socks you have to take, so that you have at least one pair of socks, of same color.
Answer is obviously 3, when you take more than 20, you will be having at least more than 5 pairs of socks, of same color.
Anupam singh parihar said:
1 decade ago
Obviously the answer is 3 because getting a pair of socks is only the concern. It may be of any colour. There are only certain possibilities which are mentined which will definitely let you to understand that in each case you will get at least one pair of socks of any of two colour.
Anupam singh parihar said:
1 decade ago
The possible cases are :-
(1) All the 3 can be of same colour.
(2) 1st may be black, 2nd may be brown & 3rd may be brown.
(3) 1st may be brown, 2nd may be black & 3rd may be black.
(4) 1st may be brown, 2nd may be black & 3rd may be again brown and vice versa.
You can easily observe that in any expected case we can have at least one pair.
(1) All the 3 can be of same colour.
(2) 1st may be black, 2nd may be brown & 3rd may be brown.
(3) 1st may be brown, 2nd may be black & 3rd may be black.
(4) 1st may be brown, 2nd may be black & 3rd may be again brown and vice versa.
You can easily observe that in any expected case we can have at least one pair.
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