1 और 100 के मध्य कितनी ऐसी पूर्ण संख्याएँ हैं जिनमें एक अंक 4 है लेकिन वे 4 से विभाज्य नहीं हैं?
Read this question in English
How many integers are there between 1 and 100 which have 4 as a digit but are not divisible by 4?
(a) 5 · (b) 11 · (c) 12 · (d) 13
उत्तर और व्याख्या · explanation in English
Answer: (c) 12
There are 19 numbers below 100 containing the digit 4: 4, 14, 24, 34, 40 to 49, and 54, 64, 74, 84, 94. Seven of them are multiples of 4, which leaves 12.
- Units digit 4: 4, 14, 24, 34, 44, 54, 64, 74, 84, 94 = 10 numbers.
- Tens digit 4 (other than 44): 40, 41, 42, 43, 45, 46, 47, 48, 49 = 9 numbers. Total = 19.
- Multiples of 4 among them: 4, 24, 40, 44, 48, 64, 84 = 7.
- Required count = 19 − 7 = 12.
Remember · Count the whole set first, then subtract the ones to exclude — fewer chances to miss a number.
Question and answer: UPSC's official GS Paper II (2020, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·