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2012/13 AHSMC Part 1 Problem 1

Problem 1 of 16

Each day, Mr. Sod visited pubs A, B, C and D in that order, always spending $35\$35, $12\$12, $40\$40 and $27\$27 at the respective places. His total expenditure at the pubs, from the beginning of the month up to a certain moment that month, was $1061\$1061. Which pub would he be visiting next?

Answer choices

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Solution

Note that 35+12+40+27=11435 + 12 + 40 + 27 = 114 and 1061=9×114+351061 = 9 \times 114 + 35. Thus Mr. Sod had spent $35\$35 on the tenth day of that month at pub A. The answer is (B).