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If all the natural numbers from 1 to 202...

If all the natural numbers from 1 to 2021 are written as 12345.....20202021, then find the 2021st term

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KVPY PREVIOUS YEAR-KVPY-exercise
  1. The number of ordered pairs of integers(x,y) which satisfy x^3 + y^3 =...

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  2. A,B,E are 3 points of the circumference of a circle of radius 1. If an...

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  3. [x^2] = x + 1 how many real roots

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  4. If x + y = 1 where x and y are positive numbers, then the minimum valu...

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  5. If all the natural numbers from 1 to 2021 are written as 12345.....202...

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  6. [(2^(2020)+1)/(2^(2018)+1)] + [(3^(2020)+1)/(3^(2018)+1)] + [(4^(2020)...

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  7. Let's say abcde is a 5 digit number which when multiplied by 9 new num...

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  8. I: m is any composite number that divides (m-1)! II: n is a natural ...

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  9. 2^x + 3^y = 5^(xy) Number of solutions = ?

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  10. In a book self if m books have black cover and n books have blue cover...

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  11. xgt2ygt0 and 2log(x-2y)=log xy Possible values of x/y is/are

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  12. In an equiangular octagon if 6 consecutive sides are 6,8,7,10,9,5 then...

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  13. If the function f(x) = 2+x^2-e^x and g(x) = f^(-1)(x), then the value ...

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  14. S= lim(nrarroo) sum(k=0)^n 1/sqrt(n^2 + k ^2)

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  15. f(x): R to R |f(x)-f(y)| > |x-y| forall x,y in R check one-one/man...

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  16. x^3 - [x]^3 = (x - [x])^3

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  17. S1:lim(n->oo) (2^n + (-2)^n)/2^n does not exist S2:lim(n->oo) (3^n +...

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  18. In a 15 sidead polygon a diagnol is chosen at random. Find the probabi...

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