Verbal Reasoning - Arithmetic Reasoning - Discussion

Discussion :: Arithmetic Reasoning - Section 1 (Q.No.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 ?

[A]. 3
[B]. 20
[C]. 39
[D]. None of these

Answer: Option A


Since there are socks of only two colours, so two out of any three socks must always be of the same colour.

Aaaaa said: (Sep 6, 2011)  
22 is the ans. Highest no we have 2 take and a take two from remaining.

Sminu said: (Nov 5, 2012)  
Why cant all three of them be of the same colour?

Abinash said: (Jan 19, 2013)  
There are possibilities that all the three socks of same colour. So answer should be 22.

Nag said: (May 21, 2013)  
3 is the right answer. Even if you have all 3 of the same colour, you still have a matching pair :).

Geek said: (Jun 23, 2013)  
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. :).

Kavik said: (Jan 25, 2014)  
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.

Anish Varghese said: (Jun 19, 2014)  
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: (Feb 4, 2015)  
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.

Anupam Singh Parihar said: (May 4, 2015)  
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: (May 4, 2015)  
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.

Abhishek Lohara said: (Feb 13, 2016)  
Hello all please read the question clearly. It says here he need to take out "1 matching pairs" i.e. either two black or two brown so for doing this he must do 3 attempts because in 2 attempts he might get 1 black and 1 brown which is not matching pair but in 3rd one he sure get a black or brown so therefore he obviously get a matching pair.

And it's also possible that 3 of them might black or brown so ultimately he get 2 (one pair of black or brown) from minimum of 3 from here. So 3 is the "must" no. of socks he need to take out. So answer is 3.

Shubham said: (Jul 15, 2016)  
In your bedroom, you have a drawer with 3 yellow, 17 purple, 18 brown, 10 white, 2 green, 5 blue, 11 grey, and 20 orange socks.

It is dark in your bedroom, so you cannot distinguish between the colors of the socks.

So, The Question is How many socks do you need to take out of the drawer to be sure that you have at least three pairs of socks of the same color?

Can anyone answer for this?

Srisakthi said: (Oct 3, 2016)  

13 socks.

Anonymous said: (Dec 24, 2016)  
How to solve this question? Can you please explain me?

Arbind Kumar Sah said: (Feb 6, 2017)  
There may be the possibly the same colour so he must draw 22.

Pranali Mesh said: (Mar 13, 2017)  
6 individual socks are sitting in your drawer: two red, two blue and two purple. It's dark- you can't see.

You pick a first sock uniformly at random and then a second sock from the remaining five. Assume the two choices are independent.

What is the probability you end up with two socks of the same colour?

S Kima said: (Jul 6, 2017)  
A man wears a different colour of socks, he has to take another one (that is to be a matching for any colour of the other two that he is wearing) The question is how many socks to be taken out of a drawer to get a matching pair of sock. As we know, he is already wearing a pair of different colours, So. All he has to get is 3 socks.

Dakshin said: (Jun 26, 2018)  
According to me, the correct answer is 21.

Abdullah said: (Jul 14, 2018)  
If i take out 3 socks then it may be as follows;

black ---- brown
1 ---- 2
2 ---- 1.

Without this there is no combination. So one matching pair of socks must be. So the answer will be 3.

Mahesh said: (Sep 8, 2018)  
Hi, according to me, It sounds impractical because one of the socks is going to be different leg.

Dipendraji said: (Oct 2, 2019)  
Hi, the question says the word 'matching ' pair so needs to get either two black or two brown socks. Now if he draws and only two. It can be both black or both brown or one each of different color. So 2 is not the answer. But if he draws three he get either all three black or brown or 1 black two brown or 2 black one brown. I. Each case he will surely get a matching color. So 3 is the right answer.

Sagar Yadav said: (Mar 29, 2021)  
In starting he take 2 socks =if 1 is black and 1 is brown.
Know he needs 1 socks (black/Brown),
So 2+ 1=3.
The answer is 3.

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