# LCM and HCF Practice Set

 1. The smallest number which is divisible by 12, 16, 18, 21 and 28 after diminished by 7 is: — सबसे छोटी संख्या जिसमे से 7 घटाने के बाद, 12, 16, 18, 21 और 28 द्वारा विभाजित हो जाती है A. 1008 B. 1015 C. 1022 D. 1032 Answer: Option B Explanation: Required numbers = (LCM of 12, 16, 18, 21, 28) + 7 = 1008 + 7 = 1015 View / Hide Answer

 2. The HCF of two numbers is 11 and their LCM is 7700. If one of the numbers is 275, then the other is: — दो नंबरों का HCF 11 है और उनका LCM 7700 है। यदि संख्याओं में से एक 275 है, तो दूसरा है A. 279 B. 283 C. 308 D. 318 Answer: Option C Explanation: Other number = [11 × 7700⁄275] = 308 View / Hide Answer

 3. The product of two numbers is 4107. If the HCF of those numbers is 37, then the greater number is: — दो संख्याओं का गुणनफल 4107 है। यदि उन संख्याओं का HCF 37 है, तो बड़ी संख्या है A. 101 B. 107 C. 109 D. 111 Answer: Option D Explanation: Let the numbers be 37a and 37b. Then, 37a × 37b = 4107 ab = 3 Now, co-primes with product 3 are (1, 3) So, the required numbers are (37 × 1, 37 × 3) i.e., (1, 111) Therefore greater number = 111 View / Hide Answer

 4. The greatest possible length which can be used to measure exactly the length 7m, 3m, 85cm, 12m, 95 cm is: — सबसे बड़ी संभव लंबाई जिसका उपयोग लंबाई 7 मीटर, 3 मीटर, 85 सेमी, 12 मीटर, 95 सेमी मापने के लिए किया जा सकता है A. 15 cm B. 25 cm C. 35 cm D. 42 cm Answer: Option C Explanation: Required length = HCF of 700 cm, 385 cm and 1295 cm = 35 cm View / Hide Answer

 5. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remained in each case. — 43, 91 और 183 को विभाजित करने वाली सबसे बड़ी संख्या बताएं जिससे प्रत्येक मामले में समान शेष बचे । A. 4 B. 7 C. 9 D. 13 Answer: Option A Explanation: Required number = HCF of (91 – 43), (183 – 91) and (183 – 43) = HCF of 48, 92 and 140 = 4 View / Hide Answer

 6. The G.C.D. of 1.08, 0.36 and 0.9 is: — 1.08, 0.36 और 0.9 का G.C.D. है: A. 0.03 B. 0.9 C. 0.18 D. 0.108 Answer: Option C Explanation: Given numbers are 1.08, 0.36 and 0.90 HCF of 108, 36 and 90 is 18 HCF of given numbers – 0.18 View / Hide Answer