Challenge:
How many numbers between 400 and 600 begins with digit 5 or ends with digit 5?
A- 20
B- 100
C- 110
D- 120
E- 140
The Absolute Best Book to challenge your Smart Student!
The correct answer is C.
Numbers between 500 and 599 begin with 5. So, there are 100 numbers that begin with 5.
Consider numbers that end with 5:
405, 415, 425, 435, …, 495
Also, numbers 505, 515, 525, …, 595, end with 5. But, we counted them before!
There are 20 numbers that end with 5. We counted 10 of them before. Therefore, there are 100 + 10 = 110 numbers that begin with digit 5 or end with digit 5.
Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.
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