Practice30Create account

Any positive even integer can be written in which form (q is some integer)?

Class 10Euclid's Division LemmaNumber Systems
  • A
  • B
  • C
  • D

Step-by-Step Solution

By the lemma with , remainders are 0 or 1. Even integers have remainder 0, so they are of the form .
Answer: A)

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Euclid's Division Lemma practice questions

More Class 10 Euclid's Division Lemma practice

Any positive odd integer is of the form 2q + 1. The next form for an odd integer is 4q +…The square of any positive integer is of the form 3m or 3m + 1 for some integer m. The…Apply Euclid's Division Lemma to a = 250 and b = 23. The remainder r is:Use Euclid's algorithm to find the HCF of 4052 and 12576.Ramesh has 420 oranges and 130 apples. He wants to pack them into boxes so that every…