Elitmus Exam Logical Reasoning Cryptography

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Elitmus Other Question

D and E are the midpoints of AB and AC of triangle ABC; BC is produced to any point P;DE , DP & EP are joined, then
1. trng PED=1/4TRNG ABC
2.TRNG PED =TRNG BEC
3. TRNG ADE =TRNG BEC
4. TRNG BDE = TRNG BEC
consider p=(999^x-999^y) where x>y>0 are the natural numbers , what are possible remainders when divisible with 1000 where remainders (including 0)