self Maths Puzzle Numerical Ability Algebra

The integers 34031 and 32506, when divided by a three-digit integer n, leave the same remainder. What is the value of n?

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self Other Question

A natural number's a is given in base 10. The number a can be written as 212 in base b and 128 in base b + 2. The value of a + b in base 10 is A person bought a certain number of oranges for Rs. 70. If the price of each orange was Rs. 2 less, he would have bought 4 more oranges for the same amount. What is the number of oranges he bought originally?