A few puzzles ...

Dear friends, all the previous blogs have been on my experience, my observation, my comments on anything that I have come across. Pondering upon what I can write in this post, I thought why not present you with simple but crazy problems to wreck your brain. I hope it would be a good change compared to the previous posts. Since I am also going to CAT classes i came across few of the manyyyy "cool" problems. So here you go...

1. 9 different coins are to be divied into 4 identical bags such that the sum of the coins in 3 bags is 7 and no bag remaining empty. Find the number of ways of partitioning the coins.(IMS SIMCAT1 - 2005)

a.12852 b.17892 c.12012 d.24204



2.Mr Desai has a wife and three children. Mrs. desai is 3 years younger to Mr.desai. The ages of the three children, being in Arithmetic Progression, add up to 6/5 times that of Mr.Desai's age. While the youngets child of Mr.Desai is a female, the sum of the ages of the three males in the family is 85 years.( All ages are integers only)
(IMS SIMCAT1 - 2005)

2.a the age of the second son can be
a.22 yrs b.19 c.18 d.14

2.b Find the sum of the ages of the females in desai family
a.40 b.56 c. option a or option b 4.None of these


3.Let f(n)= 1!+2!+3!+...n!
for how many values of n will f(n) be a perfect square?
a.2 b.3 c.1 d.infinite



4. In a car race, A and B started with certain speeds from the same point. After 6 hrs, A's car developed some problem and so he had to slow down to 2/3rd of his initial speed. At the same time, B increased his speed by 2 km/hr. Then he overtook A after 15 hrs. Now, to finish the race B too 5 hrs and A took 6 more hrs. Find the difference between their initial speeds.
a.0 b.3 c.7 d.5



5. If the letters of the word "COLLOQUIAL" are rearranged, then what is the probability that the letter 'L' is between two 'O's?
a. 1/7 b. 1/6 c. 1/15 d.1/630



6. After selling a watch, Shyam found that he had made a loss of 10%. he also found that had he sold it for Rs.27 more, he would have made a profit of 5%. The initail loss was..
a.2.70 b.16.65 c. 18.00 d.Data insufficient


7. A doctor, a businessman, a broker and an MBA all lived in the same building. Their names were Tom, herry, mark and frank, not necessarily in the same order
a. Tom and the MBA were not friends with mark
b.jerry and the broker were friends
c.mark and the doctor lived on the same floor.
d.The businessman was friends with Frank and the broker

7a. what was mark's profession
7b.who was the MBA
7c.Who was the businessman
7d.what was tom's profession


8. A B C
* B C
------
B 8 A
A A 2 8 0
---------------
A Q 2 6 A
---------------

8a. what is the value of(A+Q)
8b. what is the value of C^2


9. A sprinter starts running on a circular path of radius r meters. her average speed (in metres/minte) is pi*r during the first 30 second, pi*r/2 during next one minute,pi*r/4 during next 2 minutes and so on. What is the ratio of the time taken for the nth round to that of the previous round?(CAT 2004 - 2 mark sum)
(pi = 22/7)

a.4 b.8 c.16 d.32




10. Two trains move around a concentric set of tracks. the radii of the tracks are 6 km and 8 km. The trains are 400 and 500 meters in length. The two trains start from line A. If the speed of the 400 metre trainis 4km.hr and it travels on the 6km track and the 500 metre train travels along 8 km track at 6km/hr, after how much time will the front ends of the two rains meet each other for the third time at the starting point.(pi = 22/7)
a.864*pi hrs b.72*pi hrs c. pi hrs d.cannot be determined


Answers.

1.b
2a.c
2b.c
3.a
4.d
5.option c
6.option c
7a. broker
7b. frank
7c. jerry
7d. doctor
8a.OPTION B
8b.OPTION A
9.ans is option a
10.ans is option b.


-If you want to know the explanations just drop the question numbers in the comment-

If you think all this is too much and i am simply fooling around, please feel free to comment to avoid any more postings like this. But variety is the spice of life rite, so spice up ur thoughts just for a few moments and till next blog, c ya...