**Problem 1**

- Reply only answer or solution
- All can send me any category questions privately I will post it here

In the picture AO=BO And \frac {1}{2}AO=\frac{1}{2}BO

RU=6, So what is the area of \triangle{AOB} ?

Last date of replying answer is 03/03/2023 at 9:00 a.m

Ans will given in 5hat day also

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In the question, you have to tell the area of \triangle{AOB}. NOT ''A''.

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āĻā§āĻˇā§āĻ¤ā§āĻ°āĻĢāĻ˛ āĻŦā§āĻ° āĻāĻ°āĻ¤ā§ āĻšāĻŦā§

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**Problem 2**

\fbox{You should give the full process}

1000^n+283+928+2000n+500 āĻā§ 1000 āĻĻā§āĻŦāĻžāĻ°āĻž āĻāĻžāĻ āĻāĻ°āĻ˛ā§ āĻāĻžāĻāĻļā§āĻˇ āĻāĻ¤ āĻĨāĻžāĻāĻŦā§ ?

**Last date of posting answer is 06/03/2023 at**

12:00 p.m.

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āĻĒā§āĻ°āĻĻāĻ¤ā§āĻ¤ āĻ°āĻžāĻļāĻŋāĻ¤ā§ āĻĒā§āĻ°āĻĨāĻŽ āĻ āĻāĻ¤ā§āĻ°ā§āĻĨ āĻ°āĻžāĻļāĻŋ 1000^n āĻ 2000n, 1000 āĻĻā§āĻŦāĻžāĻ°āĻž āĻŦāĻŋāĻāĻžāĻā§āĻ¯āĨ¤ āĻ¸ā§āĻ¤āĻ°āĻžāĻ 283+928+500 āĻā§ 1000 āĻĻāĻŋā§ā§ āĻāĻžāĻ āĻĻāĻŋāĻ˛ā§ āĻ¯āĻ¤ āĻāĻžāĻāĻļā§āĻˇ āĻĨāĻžāĻā§ āĻ¤āĻžāĻ āĻāĻ¤ā§āĻ¤āĻ°āĨ¤

283+928+500=1711 āĻā§ 1000 āĻĻāĻŋā§ā§ āĻāĻžāĻ āĻĻāĻŋāĻ˛ā§ āĻāĻžāĻāĻļā§āĻˇ 711

āĻ¨āĻŋāĻ°ā§āĻŖā§ā§ āĻāĻ¤ā§āĻ¤āĻ° 711

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By A I meant area, but it seems like I was wrong.

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**Problem 2**

Solution

āĻĒā§āĻ°āĻĻāĻ¤ā§āĻ¤ āĻ°āĻžāĻļāĻŋāĻ¤ā§ āĻĒā§āĻ°āĻĨāĻŽ āĻ āĻāĻ¤ā§āĻ°ā§āĻĨ āĻ°āĻžāĻļāĻŋ 1000^n āĻ 2000n, 1000 āĻĻā§āĻŦāĻžāĻ°āĻž āĻŦāĻŋāĻāĻžāĻā§āĻ¯āĨ¤ āĻ¸ā§āĻ¤āĻ°āĻžāĻ 283+928+500 āĻā§ 1000 āĻĻāĻŋā§ā§ āĻāĻžāĻ āĻĻāĻŋāĻ˛ā§ āĻ¯āĻ¤ āĻāĻžāĻāĻļā§āĻˇ āĻĨāĻžāĻā§ āĻ¤āĻžāĻ āĻāĻ¤ā§āĻ¤āĻ°āĨ¤

283+928+500=1711 āĻā§ 1000 āĻĻāĻŋā§ā§ āĻāĻžāĻ āĻĻāĻŋāĻ˛ā§ āĻāĻžāĻāĻļā§āĻˇ 711

āĻ¨āĻŋāĻ°ā§āĻŖā§ā§ āĻāĻ¤ā§āĻ¤āĻ° 711

@Arko_1729 give the 3^{rd} problem

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**Problem 3**

āĻ¯āĻĻāĻŋ n āĻāĻāĻāĻž āĻ§āĻ¨āĻžāĻ¤ā§āĻŽāĻ āĻĒā§āĻ°ā§āĻ¨āĻ¸āĻāĻā§āĻ¯āĻž āĻšā§, āĻ¤āĻžāĻšāĻ˛ā§ n/n+675 āĻā§ āĻāĻžāĻāĻžāĻāĻžāĻāĻŋ āĻāĻ°ā§ āĻ˛āĻāĻŋāĻˇā§āĻ āĻāĻāĻžāĻ°ā§ āĻ˛āĻŋāĻāĻ˛ā§ p/q āĻšā§āĨ¤

(q-p) āĻāĻ° āĻ¸āĻŽā§āĻāĻžāĻŦā§āĻ¯ āĻ¸āĻāĻ˛ āĻāĻŋāĻ¨ā§āĻ¨ āĻāĻŋāĻ¨ā§āĻ¨ āĻŽāĻžāĻ¨ā§āĻ° āĻ¯ā§āĻāĻĢāĻ˛ āĻāĻ¤?

āĻāĻāĻāĻŋ āĻāĻā§āĻ¨āĻžāĻāĻļāĻā§ āĻāĻžāĻāĻžāĻāĻžāĻāĻŋ āĻāĻ°āĻ˛ā§ āĻāĻŽāĻ°āĻž āĻšāĻ° āĻ āĻ˛āĻŦāĻā§ āĻ¤āĻžāĻĻā§āĻ° āĻāĻ¸āĻžāĻā§ āĻĻāĻŋā§ā§ āĻāĻžāĻ āĻĻāĻŋāĻāĨ¤āĻāĻžāĻāĻžāĻāĻžāĻāĻŋāĻ° āĻĒāĻ° āĻ˛āĻŦ āĻāĻŦāĻ āĻšāĻ°ā§āĻ° āĻ¸āĻžāĻ§āĻžāĻ°āĻŖ āĻā§āĻ¨āĻŋāĻ¤āĻ 1 āĻšā§āĨ¤

**BdMO 2020 national primary**

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**Problem 6**

āĻ°āĻžāĻšā§āĻ˛ āĻ¸ā§āĻĨāĻžāĻ¨āĻžāĻāĻ āĻ¤āĻ˛ā§ (3,3) āĻŦāĻŋāĻ¨ā§āĻĻā§āĻ¤ā§ āĻāĻā§āĨ¤ āĻ¸ā§ āĻāĻāĻ§āĻžāĻĒā§ āĻšāĻ¯āĻŧ āĻ¤āĻžāĻ° āĻŦāĻŋāĻ¨ā§āĻĻā§āĻ° āĻāĻāĻāĻ° āĻāĻĒāĻ°ā§āĻ° āĻŦāĻŋāĻ¨ā§āĻĻā§āĻ¤ā§ āĻ¯ā§āĻ¤ā§ āĻĒāĻžāĻ°ā§ āĻ
āĻĨāĻŦāĻž āĻāĻāĻāĻ° āĻĄāĻžāĻ¨ā§āĻ° āĻŦāĻŋāĻ¨ā§āĻĻā§āĻ¤ā§ āĻ¯ā§āĻ¤ā§ āĻĒāĻžāĻ°ā§āĨ¤ āĻ¤āĻžāĻ° āĻŽā§āĻ˛āĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻž āĻā§āĻŦāĻ āĻĒāĻāĻ¨ā§āĻĻ, āĻ¤āĻžāĻ āĻ¸ā§ āĻāĻāĻ¨ā§ āĻāĻŽāĻ¨ āĻā§āĻ¨ā§ āĻŦāĻŋāĻ¨ā§āĻĻā§āĻ¤ā§ āĻ¯āĻžāĻŦā§ āĻ¨āĻž āĻ¯āĻžāĻ° āĻā§āĻ āĻāĻ° āĻā§āĻāĻŋ āĻāĻāĻ¯āĻŧāĻ āĻ¯ā§āĻāĻŋāĻāĨ¤ āĻ¸ā§ āĻāĻ¤āĻāĻžāĻŦā§ (20,13) āĻŦāĻŋāĻ¨ā§āĻĻā§āĻ¤ā§ āĻĒā§āĻāĻāĻžāĻ¤ā§ āĻĒāĻžāĻ°ā§?

Rahul is at (3,3) on the coordinate plane. In each step, he can move one point up or one point to the right. He loves primes, and will never visit a coordinate point where both values are composite. In how many ways can he reach (20,13) ?