Multiple choice

Passage

Each question below contains a statement followed by Quantity I and Quantity II. Find the relationship among them and give your answer as, नीचे दिए गए प्रत्येक प्रश्न में एक कथन है, जिसके बाद मात्रा I और मात्रा II हैं, उनके बीच संबंध ज्ञात कीजिये और अपना उत्तर दें।

Quantity I: A takes twice as much time as B and thrice as much time as C to finish a piece of work. Working together they can finish the work in 6 days. C can do the work alone in? Quantity II: 30 men can complete a work in 16 days. They started working but after 6 days, so 20 more men joined them. How many days will they now take to complete the remaining work? मात्रा I- A, B से दो गुना अधिक समय लेता है और तीन बार काम करने के लिए C जितना समय लेता है। एक साथ काम करने से वे 6 दिनों में काम पूरा कर सकते हैं। C अकेले काम कर सकता है? मात्रा II- 30 आदमी 16 दिनों में एक काम पूरा कर सकते हैं। उन्होंने काम करना शुरू कर दिया लेकिन 6 दिनों के बाद, इसलिए 20 और पुरुष उनके साथ जुड़ गए। बचे हुए काम को पूरा करने में उन्हें अब और कितने दिन लगेंगे?

  1. Quantity I > Quantity II मात्रा I > मात्रा II

  2. Quantity I ≥ Quantity II मात्रा I ≥ मात्रा II

  3. Quantity II > Quantity I मात्रा II > मात्रा I

  4. Quantity II ≥ Quantity I मात्रा II ≥ मात्रा I

  5. Quantity I = Quantity II or Relation cannot be established मात्रा I = मात्रा II या सम्बन्ध स्थापित नहीं किया जा सकता है
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A Correct answer
Explanation

Quantity I: If A takes twice as much time as B and thrice as much time as C, let A = 6t days (LCM of 2 and 3). Then B = 3t days, C = 2t days. Combined rate: 1/6t + 1/3t + 1/2t = 1/t. They finish in 6 days, so work = 6/t = 1, giving t = 6. C alone takes 2×6 = 12 days. Quantity II: 30 men × 16 days = 480 man-days. After 6 days: 180 man-days done, 300 remaining. With 50 men (30+20): 300/50 = 6 days needed. Since 12 > 6, Quantity I > Quantity II.

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