Question 23
There are 1665 students in Mathsville Secondary School. Each student’s birthday falls in one of the seven months in the bar chart. All horizontal grid lines are equally spaced. The principal accidentally spilled ink over part of the chart and wants to redraw it. The numbers of students born in May and June have the same last digit. The numbers born in January and May have the same digit sum. How many students were born in April?
Interpretation used by the source solution: the baseline is zero, July’s bar is one grid interval high, and each hidden March/April bar is between one and four grid intervals high, inclusive. Use these bounds for the obscured bars; the ink is an intentional part of the problem.

Answer format: enter one whole number without units; leading zeros are optional. The source answer sheet uses four digits (for example, 7 is shaded as 0007).
Interpretation used by the source solution: the baseline is zero, July’s bar is one grid interval high, and each hidden March/April bar is between one and four grid intervals high, inclusive. Use these bounds for the obscured bars; the ink is an intentional part of the problem.

Answer format: enter one whole number without units; leading zeros are optional. The source answer sheet uses four digits (for example, 7 is shaded as 0007).