That I did, and when I first saw the prob I used options too (it is an old CAT or XAT prob I suppose). Just that the question posted didn't have options and your solution says to use them, which is adding insult to injury :splat: regards scrabbler
Er, what options? The solution you posted says "use options" but original posts did not have options so it was a much more painful solution!!regardsscrabbler
If you don't want to use answer options. Solving 2r^2 + 3r = 9(9 + 6r)^1/2 is more painful.
In such problems where i dont have any idea how to approach , I start with small cases .
Here, when x=0 , value of expression=0 .. and when x=1..value of exp is 20 ...
so when we vary x from 0 to 1 , we get different values from 0 to 20 .. now let's check which values we got and which we didnt.. now analysing, we skipped values at values of x which make more than one of the terms out of 2x,4x,6x,8x as integers .. ex= for x=1/2 all become integers. so we skipped 3 values ..similarly at x=1, we skipped 3 values..
now at x=1/4 and x=3/4 we skip one value each .. so we skipped total of 8 values in first 20 nos..
hence we will skip 8/20*1000=400 values in 1000 nos..
so we can obtain rest 600 values 😃 hope u understood n liked this unique approach of mine :)
In such problems where i dont have any idea how to approach , I start with small cases . Here, when x=0 , value of expression=0 .. and when x=1..value of exp is 20 ...so when we vary x from 0 to 1 , we get different values from 0 to 20 .. now let's check which values we got and which we didnt.. now analysing, we skipped values at values of x which make more than one of the terms out of 2x,4x,6x,8x as integers .. ex= for x=1/2 all become integers. so we skipped 3 values ..similarly at x=1, we skipped 3 values..now at x=1/4 and x=3/4 we skip one value each .. so we skipped total of 8 values in first 20 nos..hence we will skip 8/20*1000=400 values in 1000 nos..so we can obtain rest 600 values hope u understood n liked this unique approach of mine Team BV--Pratik Gauri
In such problems where i dont have any idea how to approach , I start with small cases . Here, when x=0 , value of expression=0 .. and when x=1..value of exp is 20 ...so when we vary x from 0 to 1 , we get different values from 0 to 20 .. now let's check which values we got and which we didnt.. now analysing, we skipped values at values of x which make more than one of the terms out of 2x,4x,6x,8x as integers .. ex= for x=1/2 all become integers. so we skipped 3 values ..similarly at x=1, we skipped 3 values..now at x=1/4 and x=3/4 we skip one value each .. so we skipped total of 8 values in first 20 nos..hence we will skip 8/20*1000=400 values in 1000 nos..so we can obtain rest 600 values hope u understood n liked this unique approach of mine Team BV--Pratik Gauri
Ram marks up his goods by 40% and gives a discount of 10%.Apart from this,he uses faulty balance which reads 800 gms for 1000 gms .What is his net profit/loss percentage?
In such problems where i dont have any idea how to approach , I start with small cases . Here, when x=0 , value of expression=0 .. and when x=1..value of exp is 20 ...so when we vary x from 0 to 1 , we get different values from 0 to 20 .. now let's check which values we got and which we didnt.. now analysing, we skipped values at values of x which make more than one of the terms out of 2x,4x,6x,8x as integers .. ex= for x=1/2 all become integers. so we skipped 3 values ..similarly at x=1, we skipped 3 values..now at x=1/4 and x=3/4 we skip one value each .. so we skipped total of 8 values in first 20 nos..hence we will skip 8/20*1000=400 values in 1000 nos..so we can obtain rest 600 values hope u understood n liked this unique approach of mine Team BV--Pratik Gauri
sir one trivia
how did u get that it will be skipping values on 1/4
In such problems where i dont have any idea how to approach , I start with small cases . Here, when x=0 , value of expression=0 .. and when x=1..value of exp is 20 ...so when we vary x from 0 to 1 , we get different values from 0 to 20 .. now let's check which values we got and which we didnt.. now analysing, we skipped values at values of x which make more than one of the terms out of 2x,4x,6x,8x as integers .. ex= for x=1/2 all become integers. so we skipped 3 values ..similarly at x=1, we skipped 3 values..now at x=1/4 and x=3/4 we skip one value each .. so we skipped total of 8 values in first 20 nos..hence we will skip 8/20*1000=400 values in 1000 nos..so we can obtain rest 600 values hope u understood n liked this unique approach of mine Team BV--Pratik Gauri
sir ye cases kaise banai jinke ley check karna hai?? e.g. 1/4 n 3/4...
The answer is Weird hence i am taking back the question. Sorry for the inconvenience caused.. The answer btw is pi i guess. Anyway, beyond the scope of CAT.
awesome! 
