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Write last two digits of the number 3^(4...

Write last two digits of the number `3^(400)dot`

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Statement 1: Total number of five-digit numbers having all different digit sand divisible by 4 can be formed using the digits {1,3,2,6,8,9}i s192. Statement 2: A number is divisible by 4, if the last two digits of the number are divisible by 4.

VMC MODULES ENGLISH-BINOMIAL THEOREM-JEE Archive
  1. Write last two digits of the number 3^(400)dot

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  2. The sum of coefficient of integral powers of x in the binomial expansi...

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  3. Coefficient of x^(11) in the expansion of (1+x^2)(1+x^3)^7(1+x^4)^(12)...

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  4. If X={4^(n)-3n-1:ninN}andy={9(n-1):ninN}, then X uu Y equals

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  5. The coefficient of the term independent of x in the exampansion of ((x...

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  6. In the binomial expansion of (a-b)^nngeq5, the sum of the 5th and 6th ...

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  7. The expression [x+(x^(3)-1)^((1)/(2))]^(5)+[x-(x^(3)-1)^((1)/(2))]^(...

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  8. Given positive integers r >1,n >2 and that the coefficient of (3r d)t ...

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  9. If the coefficient of x^(3) and x^(4) in the expansion of (1+ax+bx^(2)...

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  10. If the coefficients of 2nd, 3rd and 4th terms in the expansion of (...

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  11. If (1 + ax)^n= 1 +8x+ 24x^2 +..... then the value of a and n is

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  12. about to only mathematics

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  13. Using binomial theorem, prove that (101)^(50)> 100^(50)+99^(50)dot

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  14. If .^(n)C(4), .^(n)C(5) and .^(n)C(6) are in A.P., then n can be

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  15. if sum(r=0)^(25).^(50)C(r)(.^(50-r)C(25-r))=k(.^(50)C25), then k equal...

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  16. If the coefficients of x^(2) and x^(3)are both zero, in the expansion ...

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  17. The smallest natural number n, such that the coefficient of x in the e...

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  18. If some three consecutive coefficeints in the binomial expanison of (x...

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  19. If the fourth term in the binomial expansin of ((2)/(x) + x^(log(8) x)...

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  20. If the fourth term in the expansion of {sqrt(1/("""x^log(x+1)"}'+1/(x^...

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  21. The sum of the coefficients of all even degree terms in x in the expan...

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