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Amount of work done in 2 days = 1/9 + 1/12 = 7/36
In 10 days 35/36 Work is done
The remaining 1/36 will be handled by A and he can finish this off in 1/4 of a day
Hence, 10 + 1/4 = 41/4
- by sureshbala
Wed Oct 03, 2012 3:48 am- Forum: Problem Solving
- Topic: Problem Solving (Alternate day)
- Replies: 3
- Views: 33440
Number of factors of 264600 = 144
Number of factors of 264600 that are divisible by 6 = 81
Hence number of factors of 264600 which are not divisible by 6 = 144 - 81 = 63
Folks, here is the detailed explanation. Hope this helps......
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- by sureshbala
Thu Nov 19, 2009 1:33 am- Forum: Problem Solving
- Topic: Manhattan Challenge Problem
- Replies: 23
- Views: 8475
Hi, Here is the quickest way to find highest power of a prime number in any factorial. In this question we need to find the highest power of 3 in 30!. Divide 30 successively by 3 and add the respective quotients. 30/3 = 10 10/3 = 3 (don't worry about remainder) 3/3 = 1 Now add 10+ 3 + 1 = 14 Thus th...
- by sureshbala
Wed Sep 09, 2009 9:57 pm- Forum: Problem Solving
- Topic: OG 12 # 110 Factors
- Replies: 2
- Views: 1391
Next Question is here.....
Folks, I am back after a long break..... Here is the next question..... In a certain school, out of every 7 students playing Rugby, 3 play Football as well; for every student playing at least one of these two sports, there are 3 students who take up neither. It is known that 10% of the students play...
- by sureshbala
Wed Sep 09, 2009 9:46 pm- Forum: Problem Solving
- Topic: Problem Solving for 780+ Aspirants.
- Replies: 209
- Views: 63624
Here is the next question....
Participation in the local soccer league this year is 10% higher than last year.The number of males increased by 5% and the number of females increased by 20%. What fraction of the soccer league is now female?
A. 1/3
B. 4/11
C. 2/5
D. 4/9
E. 1/2
- by sureshbala
Wed Jun 10, 2009 9:43 pm- Forum: Problem Solving
- Topic: Problem Solving for 780+ Aspirants.
- Replies: 209
- Views: 63624
Hi Suresh The questions you post here are exciting and challenging, but are you sure GMAT(even at a 99%ile difficulty level) matches questions such as these? I doubt that. Also, where have you had the experience of 6 years as a GMAT tutor? In any case, thanks for the effort. Hi, Probably the initia...
- by sureshbala
Wed Jun 10, 2009 9:25 pm- Forum: Problem Solving
- Topic: Problem Solving for 780+ Aspirants.
- Replies: 209
- Views: 63624
Re: Rate/Percent Problem
Working alone at its constat rate a machine seal K cartons in 8 hours, and working alone at its own constat rate, a second machine seals K cartons in 4 hours. If the two machines , each working at it own contact rate and for the same period of time, together sealed a certain number of cartons, what...
- by sureshbala
Fri May 29, 2009 10:57 pm- Forum: Problem Solving
- Topic: Rate/Percent Problem
- Replies: 3
- Views: 1951
Let the distance from a to b, b to c and c to d be x, y and z respectively.
Given 4x = y + z
and x + y = 3z
We need to find x/(x+y)
Adding the above two equations we get , 5x = 4z i.e. x = 4z/5
Now x/(x+y) = (4z/5)/3z = 4/15
- by sureshbala
Fri May 29, 2009 10:37 pm- Forum: Problem Solving
- Topic: Ratio of distance on the number line
- Replies: 2
- Views: 6619
Re: Sequence Question
If each term in the sum a1 + a2 +....+an is either 7 or 77 and the sum equals 350, which of the following could be equal to n? 38 39 40 41 42 C Along the same lines....a DS question: The sum of positive integers x and y is 77. What is the value of xy? (1) X = y+1 (2) x and y have the same tens digi...
- by sureshbala
Fri May 29, 2009 10:12 pm- Forum: Problem Solving
- Topic: Sequence Question
- Replies: 5
- Views: 1551
Length of PQ = 13. So sqrt(3)/2 x q = 13 (where a is the side of the equilateral triangle) Now instead of calculating "a" and then the area do the following calculation which is definitely quickler. Squaring the above eqn, we get 3/4 x a^2 = 169 But we need sqrt(3)/4 x a^2, which will be 1...
- by sureshbala
Fri May 29, 2009 10:04 pm- Forum: Problem Solving
- Topic: Geometry Problem!
- Replies: 2
- Views: 1283
Re: Gmat Prep: Simple Sequence
If each term in the sum a1 + a2 +....+ an is either 7 or 77 and the sum equals 350, which of the following could be equal to n? A) 38 B) 39 C) 40 D)41 E)42 C Thanks guys for your help! This can be answered very quickly in the following manner. If all of them are 7s, then we need 50 terms. Now every...
- by sureshbala
Fri May 29, 2009 9:57 pm- Forum: Problem Solving
- Topic: Gmat Prep: Simple Sequence
- Replies: 2
- Views: 1071
Folks you can apply Alligation Technique to finish questions like these very quickly.
This technique can be applied to problems on averages, mixtures, profit & loss as well
Will try to come up with a small tutorial on this soon
- by sureshbala
Fri May 29, 2009 9:53 pm- Forum: Problem Solving
- Topic: HELP!- - - -average height
- Replies: 5
- Views: 1427
Here is the next one.....
Two positive numbers x and y are such that their LCM = 1188 and their HCF = 12. If x + y = 240, then find the smaller of the two numbers x and y.
A. 96
B. 108
C. 84
D. 144
E. None of these
- by sureshbala
Fri May 29, 2009 1:05 pm- Forum: Problem Solving
- Topic: Problem Solving for 780+ Aspirants.
- Replies: 209
- Views: 63624
Re: Bicycle stock
On June 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 4 for each of the past 5 months. If the stock continues to decrease at the same rate for the rest of the year, how many fewer bicycles will be in stock on September 1 than were in stock on January 1? (A) 8 (B) 12...
- by sureshbala
Fri May 29, 2009 12:55 pm- Forum: Problem Solving
- Topic: Bicycle stock
- Replies: 1
- Views: 3187
Folks, here is the next question.. A factor of 840 is chosen at random. What is the probability that it is divisible by 15? A. 1/4 B. 7/32 C. 1/2 D. 1/56 E. None of these Folks, nice to see different solutions here....Anyway here is my solution 840 = 2^3 x 3 x 7 x 5 So total number of factors of 84...
- by sureshbala
Fri May 29, 2009 12:47 pm- Forum: Problem Solving
- Topic: Problem Solving for 780+ Aspirants.
- Replies: 209
- Views: 63624