4) Find 25725 (mod 31)

Q: 7x = 4 (mod 12).

A:

Q: 3x = 1 (mod 6)

A: 3x≡1 (mod 6) ⇒ 3x-1≡0 (mod 6)This means 3x-1 is divisible by 6.

Q: x = 2 (mod 5) 2r = 22 (mod 8) 3x = 12 (mod 21) (i) How many solutions does it have lying between 0…

A: i)Given thatNotice first that the moduli are pairwise relatively prime, Therefore, we can use the…

Q: 5. Use the method of successive squaring to compute 3875 (mod 103) 1

A:

Q: (3) If today is Thursday what day of the week will it be 31 days from today? (4) If it is currently…

A:

Q: x3-3x2+27 is congruent to 0 (mod 225)

A: Consider the following problem  x3-3x2+27≡0mod 225 Prime factorization of 225 is 32×52 Now,…

Q: True or False : 4x ≡ 12 (mod 10) ⟹ x ≡ 3 (mod 10)

A:

Q: Find all integer values of x for which 3x = 4 (mod 8).

A: given congruence equation 3x≡4(mod 8)

Q: Prove that a1 + a2 = b₁ + b₂ mod n.

A: We have to prove that a1+a2=b1+b2 (mod n).Given:a1≡b1 (mod n)a2≡b2 (mod n)This means there exist…

Q: Solve the quadratic congruence x² = 35 (mod 817).

A:

Q: Show that, given a 7-digit number, where all digits except perhaps the last is non-zero, you can…

A:

Q: Simplify 146! (mod 149) to a number in the range {0, 1,... 148}.

A: