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Number TheoryQuestion and Answers: Page 15 |
LCM(a,(3/5)a)=3a a=? |
number of digit of a number 2^(2016) and 5^(2016) is? |
(1+(1/x))^(x+1) =(1+(1/(2019)))^(2019) Find all possible values of x |
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(( i))^(1/(i )) ? |
prove that 1+x^(111) +x^(222) +x^(333) +x^(444) divides 1+ x^(111) +x^(222) +x^(333) +.......+x^(999) |
solve 2x^(99) +3x^(98) +2x^(97) +3x^(96) +.....2x+3=0 in R |
how many solution the equation ⌊ x ⌋ +2016. {x} = 38? |
For any positive integer n, τ(n) is the number of its factors Prove, Σ_(i=1) ^n τ(i)=Σ_(i=1) ^n ⌊n/i⌋ |
A four_digit whole number is interesting if the number formed by the leftmost two digits is twice as large as the number formed by the rightmost two digits. (for example 2010 is interesting) 1 find the largest whole number B such that all interesting numbers are divisible by B 2 find the smallest whole number D such that D is divisible by all interesting numbers. |
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Is there a formula to calculate Σ_(i=1) ^n (1/i^2 ) interms of n..? |
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use the Chinese Remainder theorem to find x such that x ≡ 2(mod 3) 2x ≡ 3(mod 5) 3x≡ 4( mod 7) |
z = 2 + i find arg(z) |
Find the value of (1+(√(−3)))^(3/4) help please |
1111^(2019) mod 11111=....? |
solve log_((24sinx)) (24cosx)=(3/2) |
If a,b, c are in Harmonic progression find the value of ((a+b)/(b−a)) + ((b+c)/(b−c)) . ? |
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