Multiple choice

Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer: नीचे दिए गए प्रत्येक प्रश्न में एक प्रश्न और तीन कथन I, II और III दिए गए हैं। आपको यह तय करना होगा कि कथन में दिए गए डेटा प्रश्न का उत्तर देने के लिए पर्याप्त हैं या नहीं। सभी कथन पढ़ें और उत्तर दें: In a kilometre race, by how many meters Chandu beats Chand? एक किलोमीटर की दौड़ में, चंदू कितने मीटर की दूरी से चाँद को हारता है? Statement I : In a kilometer race, Chandu beats Chandan by 100 meters. Statement II : The respective ratio of the speed of Chandan and Chand is 4: 3. Statement III : In a kilometer race, Chandan beats Chand by 150 meters. कथन I: एक किलोमीटर की दौड़ में, चंदू ने चंदन को 100 मीटर से हराया। कथन II: चंदन और चाँद की गति का संबंधित अनुपात 4: 3 है। कथन III: एक किलोमीटर की दौड़ में, चंदन ने चंद को 150 मीटर से हराया।

  1. III or (I and II together) are sufficient III या (I तथा II एक साथ) पर्याप्त हैं

  2. Only III is sufficient. केवल III पर्याप्त है

  3. Only I and (II or III) together are sufficient. केवल I तथा (II तथा III) एक साथ पर्याप्त है

  4. Only statement I, II, and III together are sufficient. केवल I, II तथा III एक साथ पर्याप्त हैं

  5. None of these इनमें से कोई नहीं

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

We need to find by how many meters Chandu beats Chand in a 1km (1000m) race. Statement I alone: Chandu beats Chandan by 100m in 1km. When Chandu runs 1000m, Chandan runs 900m. This doesn't involve Chand. Insufficient. Statement II alone: Chandan:Chand speed ratio = 4:3. This gives relative speeds but no distances. Insufficient. Statement III alone: Chandan beats Chand by 150m in 1km. When Chandan runs 1000m, Chand runs 850m. This doesn't involve Chandu. Insufficient. I + II together: From I, Chandu:Chandan = 1000:900 = 10:9. From II, Chandan:Chand = 4:3 = 12:9 for Chandan. So Chandu:Chandan:Chand = 10:9:6.75 = 40:36:27. When Chandu runs 1000m, Chand runs (27/40)×1000 = 675m. Chandu beats Chand by 1000 - 675 = 325m. I + II sufficient. II + III together: From III, Chandan:Chand = 1000:850 = 20:17. From II, Chandan:Chand = 4:3. This is inconsistent (20:17 ≠ 4:3). This suggests I or III might have different contexts or there's an error. Actually re-reading, maybe Statement III gives us Chandan:Chand ratio directly from the race. If Chandan runs 1000m while Chand runs 850m, then Chandan:Chand = 1000:850 = 20:17. Combined with Statement II (Chandan:Chand = 4:3), we get conflicting ratios, which is problematic. But assuming we use the race data from III with the ratio from II... Actually, let me reconsider. II + III: From III, when Chandan runs 1000m, Chand runs 850m. Speed ratio Chandan:Chand = 1000:850 = 20:17. Statement II says ratio is 4:3 = 16:12, not matching 20:17. This inconsistency means II + III might not work. But the answer claims I + (II or III) works. Let me check I + III: From I, Chandu beats Chandan by 100m. From III, Chandan beats Chand by 150m. In 1km, Chandu covers 1000m while Chandan covers 900m. Chandan covers 1000m while Chand covers 850m. So in the time Chandu covers 1000m, Chandan covers 900m. In the time Chandan covers 900m, Chand covers (900/1000)×850 = 765m. So when Chandu covers 1000m, Chand covers 765m. Chandu beats Chand by 235m. So I + III also works. I + (II or III) are sufficient.