Question and Answers Forum
Number TheoryQuestion and Answers: Page 4
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Question and Answers Forum |
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Number TheoryQuestion and Answers: Page 4 |
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| The number of 4−digit numbers that contain the number 6 and are divisible by 3 is ___ |
| Given p,q,r,s sre distinc prime numbers such that pq−rs divisible by 30. minimum value of p+q+r+s =? |
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| (1)solve Diopthantine equation 754x+221y=13 (2) find the number abcd such that 4×(abcd)=dcba |
| Find the number of integral solutions of (p+q)(q+r)(r+p)=8pqr+2 |
| Prove that for n≥4, S_n = Σ_(k=1) ^n k^(k!) is never a perfect cube. |
| If a,b are co-prime natural numbers satisfying a^2 + b = (a−b)^3 and b+1 is a prime find all possible values of (a, b). Please help me solve this. |
| Find the natural number n such n=7^a ∙17^b a∈N, b∈N and the sum of all its divisors (1 and n included) is 2456. |
| find the laplace invesrse for I(s) I(s)=((2000s^2 )/((s^2 +200^2 )(s^2 +400s+2×10^5 ))) |
| Let S={1, 2, 3, 4, 5, 6, 7} If we multiply atleast 2 numbers from this set with each other, what are the chances of the product to turn out to be divisible by 3? |
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| Montrer que 3^(2n+1) +2^(n+2) est divisible par 7 |
| Q. find the largest value of such that the positive integers a, b > 1 satisfy. a^b .b^a + a^b + b^a = 5329 |
| Simplify (√((4/( (√2))) + 3)) |
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| find unit digit of 1^1 +2^2 +3^3 +.......+63^(63) +64^(64) |
| if 2^(pq) −2^(rs) =32; where p,q,r,s∈Z then possible values of p + q + r + s = ?? |
| For x ,y ε Z^+ such that 7x+9y=405. Find max value of x−y. |
| { ((4x=2(mod 9))),((7x=2 (mod 13))) :} |
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