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The sum of all two digit positive numbers which when divided by 7 yield 2 or 5 as remainder is:
(1) 1256
(2) 1465
(3) 1365
(4) 1356
Remainder 2: 16, 23, 30, …, 93. AP sum $S_1 = \frac{12}{2}(16 + 93) = 654$. Remainder 5: 12, 19, 26, …, 96. AP sum $S_2 = \frac{13}{2}(12 + 96) = 702$. Total $= 654 + 702 = 1356$.
BETA
