If m and n are odd positive integers, then m^2+n^2 is even, but not divisible by 4. Justify. @AviJainClasses

Uploaded May 2019 | Updated September 2026, 2 weeks ago

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Real numbers class 10. Class 10 chapter 1 extra questions. Real numbers extra questions for class 10.
If m and n are odd positive integers, then m^2+n^2 is even, but not divisible by 4. Justify. Real numbers class 10. Class 10 maths.
Some other very important questions from real numbers chapter 1 class 10 have also been solved and are mentioned below with their links. All the students are requested to kindly view these questions as well and go through these questions and ask me any doubt relating to chapter 1 class 10 in the comment box.

1) If m and n are odd positive integers, then m^2+n^2 is even, but not divisible by 4. Justify
youtu.be/hOhxU1mr8FY

2) Prove that the product of three consecutive positive integers is divisible by 3
youtu.be/H-f9DZMOPG4

3) Let a and b be positive integers show that root 2 always lies between a by b and a + 2b by a + b
youtu.be/ZPA_u7T3-I0

4) Show that there is no positive integer n for which √n-1 + √n+1 is rational.
youtu.be/eA3_7fjVh4A

5) find the smallest number which leaves remainder 8 and 12 when divided by 28 and 32 respectively
youtu.be/DiUmCuPQy1Q

6) Find the smallest number which when increased by 17 is exactly divisible by 520 and 46
youtu.be/xxkz0axtR1Q

7) If the hcf and lcm of two numbers are 15 and 180, find the two number
youtu.be/QPJ8nnr7xnI

8) Express the HCF of 468 and 222 as 468x + 222y, where x and y are integers
youtu.be/qIj9oT4c3Bg

9) If the H.C.F of 210 and 55 is expressible in the form 210×5 + 55y, find the value of y
youtu.be/KF4mfH18GHI

If m and n are odd positive integers, then m^2+n^2 is even, but not divisible by 4. Justify.

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