Question
What is the remainder when 32025 is divided
by 7?Solution
ATQ, Powers of 3 modulo 7: 3¹ ≡ 3 3² ≡ 9 ≡ 2 3³ ≡ 3·2 = 6 3⁴ ≡ 3·6 = 18 ≡ 4 3⁵ ≡ 3·4 = 12 ≡ 5 3⁶ ≡ 3·5 = 15 ≡ 1 (mod 7) So, 3⁶ ≡ 1 (mod 7), cycle length 6. 2025 ÷ 6 = 337 remainder 3. So 3^2025 ≡ 3³ (mod 7) ≡ 27 ≡ 6 (mod 7).
Which combination insect and symptom of damage is wrong?
Insect pests whose grubs bore into the grain to feed on them, heavy infestation of those pests results in powdery mass of grain while adult scrap surfac...
Aqua regia is a mixture of:
Given below are two statements:
Statement I: Orobanche (Broomrape) is a total-root parasitic weed in rapeseed mustard.
Statement II: Strig...
Match the following:
First interspecific cross was made by which of the following Scientist?
“Regional Centre of International Rice Research Institute” is recently established in India at:
Feni is made from
The law of minimum was given by which of the following scientist?
Which of the following methods is used to determine the field capacity of a soil in laboratory conditions?
