# Algebra For CAT 2012Quantitative Report

So Puys, Official Quant Thread is going too fast with way too many topics clubbed together.
All the Best For CAT 2012. [smiley] [smiley]
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@billuisback 3
hello everybody. i'm varatharaj doing pre final year in mechanical engineering in coimbatore(tamilnadu).Right from the day i know about cat i started dreaming being an IIM er! MBA is my passion. im preparing for CAT 2013. As i was from a lower middle class background i cant afford to pay the coac...
@sushmathakur Can U pls elaborate?..
@billuisback option 2
ok...
BC and CA for Shyam doesn't seem right ! :splat:
Waito then also! Don't have paper pen right now! :|
@saurav205 100% Correct.
Is the question correct?Kindly verify the path which Shyam has taken. I think it should be BC and AB for Shyam. for Ram BC and CA seems fine.
Hey friends, I have a question....
Two straight roads R1 & R2 diverge from a point A at an angle of 120*. Ram starts walking from point A along R1 at a uniform speed of 3 km/hr. Shyam starts walking at the same time from A along R2 at a uniform speed of 2 km/hr. They continue walking for 4 hr...
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@PriyankaMitra If a is positive and a^4- 62a^2+ 1 = 0, find the value of a^3+1/a^3??
488..:)
@praveen7728
@klal06 said: Permutation Combination Which regular polygon has the ratio of its diagonals to its sides as 3:1 ??
nC2 -n / n = 3/1
solving we get n = 9 Ans
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@anooph 25 kg....
Is it a 9 sided polygon??
25 kgs ...???
when the price of sugar was increased by 32%,a family reduced its consumption in such a way that the expenditure on sugar was only 10%more than before,if 30kg were consumed per month before,find the new monthly consumption? please solve this
488?
@klal06 THANKS
@vanquish_cat12 2419
@PriyankaMitra INCLUDE3 vowels, 4 consonantkeeping 2 places reserve, 3 vowels can be arranged at 5 places i.e 5P3 (as no two vowels together)Now 4 consonants can be arranged at 4! waystherefore, total no of ways is 5P3*4! = 1440
@klal06 how pls explain
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@PriyankaMitra No, Its wrong 1440 is the answer
Solve for x,y and z-ax+by+cz=0a^2x+b^2y+c^2z=0
@klal06 4320?7! - (5!*3!)??
Permutation Combination
Which regular polygon has the ratio of its diagonals to its sides as 3:1 ??
@klal06 yup dude, it will be like 4 consonants can be arranged in 4! ways and vowels can be arranged in 5p3 ways so it would be 4! X 5P3 = 1440
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@dj_harry I solved like this.....!!!
INCLUDE
3 vowels, 4 consonant
keeping 2 places reserve, 3 vowels can be arranged at 5 places i.e 5P3 (as no two vowels together)
Now 4 consonants can be arranged at 4! ways
therefore, total no of ways is 5P3*4! = 1440
@dj_harry But the answer is 1440 !!!
oops I read the question incorrectly ....
@dj_harry No it's 1440
4320?
Find the number of ways in which the letters of the word INCLUDE be permuted so that no two vowels appear together?1) 720 2) 1440 3) 4320 4)5040
Find the number of ways in which the letters of the word INCLUDE be permuted so that no two vowels appear together?a)144 2) 720 3) 1440 4) 4320
If a is positive and a^4- 62a^2+ 1 = 0, find the value of a^3+1/a^3??
Yes, I think you are going wrong in calculating the remaining no of terms.
In your case, for n =49, you get (n(n+1)/2-1) terms i.e 1224 terms, now the additional no of terms would be 10 instead of 20. i.e 1234-1224.
Hope this helps,
@[75748:karl] i dnt have an answer wid me,, but i solved it with this approach : 1,2 -> 2 (number of terms) 1,2,2 ->31,2,2,2->4...so on...now number of terms which sequence is forming gives us a (sum of natural numbers -1)i.e. ( n(n+1)/2 )-1 =1234
=>n(n+1)=2470nearest "n" number that completes...
Can you check again?, anyways posting the solution tell me where I got wrong
the sequence is 1, 2,1,2,2,1,2,2,2,1,2,2,2,2,1
so the number of terms in this sequence would be of the form n + n(n+1)/2
for n=1 we get,
1,2 No of Terms is 2
for n=2 we get
1,2,1,2,2 No of Terms is 5...