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2Q

Consider a seven-digit number 735x6y4, divisible by 44, where the two digits x and y are unknown. Consider the following two additional pieces of information: I. x and y are even numbers II. x and y are equal To determine the values of x and y UNIQUELY, which of the above pieces of information is/are MINIMALLY SUFFICIENT?

04 January 2026

a_1<a_2<\cdots<a_n

be the list of all prime numbers less than

25

\text{Define } X_i = \frac{b_i}{a_i},

b_i

is the sum of all

a_k

k

1

n, \; k\neq i

B

be the set of all integer-valued

X_i

. What is the smallest element of

B

04 January 2026

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