एक प्रश्न दिया गया है, जिसके बाद दो कथन I और II दिए गए हैं । उस प्रश्न और उन कथनों पर विचार कीजिए और सही विकल्प को चिह्नित कीजिए ।
प्रश्न :
ऐसी 1-अंक की लघुतम संख्या क्या है, जिसमें ठीक-ठीक 4 गुणनखंड हैं ?
- कथन I: इनमें से एक गुणनखंड 2 है ।
- कथन II: इनमें से एक गुणनखंड 3 है ।
उपर्युक्त प्रश्न और कथनों के सन्दर्भ में, निम्नलिखित में से कौन-सा एक सही है ?
Read this question in English
A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.
Question:
What is the smallest 1-digit number having exactly 4 distinct factors?
Statement I. 2 is one of the factors.
Statement II. 3 is one of the factors.
Which one of the following is correct in respect of the above Question and the Statements?
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other statement alone. · (b) The Question can be answered by using either Statement alone. · (c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone. · (d) The Question can be answered even without using any of the Statements.
उत्तर और व्याख्या · explanation in English
Answer: (d) इस प्रश्न का उत्तर, इन कथनों में से किसी का उपयोग किए बिना भी दिया जा सकता है ।
Among one-digit numbers only 6 (factors 1, 2, 3, 6) and 8 (factors 1, 2, 4, 8) have exactly four factors, so the smallest is 6. The question answers itself; the statements add nothing.
- List factor counts for 1–9: only 6 (1, 2, 3, 6) and 8 (1, 2, 4, 8) have exactly 4 factors.
- The smallest such number is 6 — found from the question alone.
- The statements (2 and 3 are factors) are true of 6 but are not needed.
- ✗ Statement I Not needed: the question already fixes the answer as 6.
- ✗ Statement II Not needed: 6 is found without it.
Remember · In data sufficiency, first try the question alone; if it is already settled, choose 'even without using any of the Statements'.
Question and answer: UPSC's official GS Paper II (2025, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·