Thanks Stuart and Ian for providing the solution and pointing out my mistake. I tend to double count sometimes making the problem more difficult than it actually is. Like Harsh mentioned this is not the first time I am double counting. If there are ways to determine or realize that I have double cou...

Let x be the total number of matches. 2/3 *x = 20( i.e 17 +3) x = 30. So 10 more matches remain. 3/4 * x = 3/4 * 30 ~ 22.5. Rounding this 23 matches out of 30 need to be won. of the remaining 10 matches 23-17 = 6 need to be won. So 4 additional matches can still be lost. (total losses can be 7) IMO A

another work problem

Deep and Ana decided to work together & complete the construction of a road.However, as Deep went out of town, Ana started work alone and finished 1/4 th of the road and took 'x' days more than what they would have taken if they worked together. After this, Ana fell ill and Deep working alone, c...

check this posting. Already discussed..
http://www.beatthegmat.com/quant-help-t13626.html

Hi, Here is my approach. Lets create a table with the days of the week. Consider a week from Sun - Sat. Days that rain are represented by R and no rain be X There are 5 ways to rain on three consecutive days in a week. Su M T W Th F Sa R R R X X X X X R R R X X X X X R R R X X X X X R R R X X X X X ...

I second Ajith's response for circular seating.. I would approach the question the same way.

Thanks Sanju your approach is very good.. Basic idea is the same as Sanju's but used combinations for finding "no pair" draws. B -> Blue right glove (3) B' ->Blue left glove (3) B*-> Blue gloves can be left or right R -> Red right glove (2) R' -> Red left glove (2) R*->Red gloves can be le...

Total number of people in the contest = A, B, C and 6 others. Here order does not matter only people matter. Total number of ways of selecting 3 out of 9 = 9C3 = 84 No. of ways of choosing 2 out of 3 triplets = 3C2 No. of ways of choosing 1 out of other 6 = 6C1 Ways of choosing 2 of 3 and one other ...