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Q14
(CISF/2017)
Miscellaneous & General Knowledge › Important Days, Places & Events
How many times will the digit 5 come in counting from 1 to 99, excluding those numbers which are divisible by 3 ?
Result
Your answer:
—
·
Correct:
C
Explanation
To determine how many times the digit 5 appears in numbers from 1 to 99 that are not divisible by 3, we first identify all occurrences of 5 and then remove those found in numbers divisible by 3.
1. Occurrences of 5 in numbers 1–99:
- In the units place: 5, 15, 25, 35, 45, 55, 65, 75, 85, 95 (10 occurrences)
- In the tens place: 50, 51, 52, 53, 54, 55, 56, 57, 58, 59 (10 occurrences)
- Total occurrences = 20 (Note: 55 is counted twice as it contains two 5s).
2. Numbers containing 5 that are divisible by 3:
- The numbers are: 15, 45, 51, 54, 57, and 75.
- Each of these 6 numbers contains the digit 5 exactly once.
3. Final Calculation:
Subtracting the 6 occurrences in excluded numbers from the total: 20 - 6 = 14.
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SIMILAR QUESTIONS
Which one of the following is the largest 3-digit number which when divided by 12, 15 and 18 respectively, gives a remainder 5 in each case ?