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minimum value of 4a^2+9b^2+12a-24b+25 Detail solution for this type..

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TanujA3
@TanujA3  ·  380 karma

Minimum value 0.

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TanujA3
@TanujA3  ·  380 karma

Write 4a^2 + 12a in form of perfect square, it will be written as 4(a^2 +9/4 + 2*3a/2), do the same thing for the elements containing b too, you shall have this: 4(a+3/2)^2 + 9(b-4/3)^2.

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5 distinct balls and 3 distinct boxes are given.  Find the no. of ways such that no box contain more than 1 ball

Ans is 0

my doubt , why can't we select 3 distinct balls and then arrange them in 3! ways?? @TanujA3 @khan.moin00103 @tenfeettall

2 comments
TanujA3
@TanujA3  ·  380 karma

005,014,023,113,122. There is no case jisme koi box aisa na ho jisme 1 or less balls hain.

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tenfeettall
@tenfeettall  ·  48 karma

We can just think of it this way. No box can have more than 1 ball. So maximum balls that we can arrange are 3. We have 5. So 0 ways. I think the purpose of the question was just to confuse the test taker as you would usually expect the number of balls to be less than number of boxes in such a question

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If strings of seven letters are formed by choosing alphabets allowing for repetition, how many of these strings would be palindromes?

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TanujA3
@TanujA3  ·  380 karma

26*26*26*26.

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Marco_reus123
@Marco_reus123  ·  1 karma

@TanujA3 thanks. I got it. I was thinking of 26*25*24*23 but then it says that repetition is allowed

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Are VARC sectionals from IMS any good? Took Sectional 1 and found it absurdly different from anything I have seen. 15-16 VA questions and RCs of more than 800 words with merely 2-4 questions. Please suggest.

You can tell a lot about a person from his biography.
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Post 60734420537900
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Marco_reus123
@Marco_reus123  ·  1 karma

@Cutiepie1995 the avg is coming as 172. The answer is 173.9 as marked. Explain pls

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Marco_reus123
@Marco_reus123  ·  1 karma

Oh the range has been mentioned since x, y, z values are not defined. Thanks :)

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@TanujA3 always get stuck in installment. though I did this topic but can't do it in exam

Post 60720859832555
2 comments
karthikmadkekar
@karthikmadkekar  ·  46 karma

P = 25200 , Q  = 25410  Difference is 210

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karthikmadkekar
@karthikmadkekar  ·  46 karma

i) For CI, Annual istallment of X=14520 is made. P= (X/1.1) + (X/1.21) See the present value of the each installment

ii) For SI, Final amount after 2 years = (1.1)X+X  This is equal to Q(1.2) 

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approach to do these type of questions @TanujA3 @khan.moin00103

Post 60719917251678
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As the exam is approaching, my anxiety is increasing. I am constantly thinking about the paper, I don't know if it is happening with anyone else, please don't tell me to meditate, also, don't tell me to not study, give me a realistic reason as to why I should not think of it as a big deal, using this platform so that I can get genuine help with this

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tenfeettall
@tenfeettall  ·  48 karma

@suchi1996 Sorry but I do have to tell you to meditate. Trust me, I have been in a much worse condition for a different exam. And meditation got me out of it. Even if you think it's of no use, its just 10 minutes a day. So no harm in trying, is there?


https://www.youtube.com/watch?v=oVzTnS_IONU


Try it out.


I used to take a lot of stress. And now I don't. Sometimes I get stressed about why I don't have any stress for the exam lol. This can only come from a mindset change. Stress comes when you dwell on your negative thoughts. So shutting the negative thoughts the moment they arise is key. Meditation helps you with exactly that.

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karthikmadkekar
@karthikmadkekar  ·  46 karma

Best thing I learnt in headspace is the fact Anxiety is inevitable. No human is void of anxiety. If he is, then he is abnormal. So you have to accept the fact that anxiety is normal. Winners take anxiety to their advantage. Just build the negative anxiety into positive anxiety. +1 for Meditation

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What will be the solution to this question? The answer is 10.

Post 60659789230598
2 comments
anushavalecha11
@anushavalecha11  ·  77 karma

Just form the equations normally.

Let no of educated ppl = e

Let salary of 1 educated person = x

(ex + 20*25)/ (e + 20) = A

(ex + 20*10)/(e+20) = A - 10

Now,divide first eqn by second.

you would get ex = 30A - 500

Put this in first eqn, you would get e as 10.

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Marco_reus123
@Marco_reus123  ·  1 karma

@anushavalecha11 thanks man

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