Arithmetics Questions From LCM&HCF SET-2

Arithmetics Questions From LCM&HCF SET-2

প্রারম্ভিক গণিত বিষয়টি প্রতিযোগিতামূলক বিভিন্ন পরীক্ষায় একটি গুরুত্বপূর্ণ বিষয় । প্রায় প্রতিটি পরীক্ষাতেই গণিত থেকে কমবেশি প্রশ্ন আসে । প্রতিযোগিতামূলক পরীক্ষায় সাফল্যের মোড় ঘুরিয়ে দেওয়ার ক্ষেত্রে গণিত প্রশ্নগুলি ল্যান্ডমার্ক এর ভূমিকা পালন করে । তাই প্রস্তুতির প্রথম থেকে গণিতের প্রতি যত্ন নেওয়ার কাজ এগিয়ে নিয়ে যেতে এখন থেকেই প্র্যাকটিস করুন আমাদের সাথে । এখন থাকছে Arithmetics Questions From LCM&HCF Set-2

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Arithmetics Questions From LCM&HCF Set-2

⟽ Previous Set

1. What is the LCM of 12, 15, and 18?
Prime factorization:
12 = 2² × 3
15 = 3 × 5
18 = 2 × 3²
LCM = 2² × 3² × 5 = 180
Answer: 180

2. The LCM of two numbers is 360 and their HCF is 6. If one of the numbers is 72, what is the other number?
Using the formula: LCM × HCF = Product of two numbers
360 × 6 = 72 × x
x = (360 × 6) / 72
x = 30
Answer: 30

3. The product of two numbers is 432 and their HCF is 6. What is their LCM?
Using the formula: LCM × HCF = Product of two numbers
LCM × 6 = 432
LCM = 432 / 6
LCM = 72
Answer: 72

4. What is the smallest number which when divided by 12, 15, and 18 leaves a remainder of 5 in each case?
LCM of 12, 15, and 18 = 180
Required number = 180 + 5 = 185
Answer: 185

5. What is the greatest number which divides 285 and 1249 leaving remainders 9 and 7 respectively?
285 – 9 = 276 and 1249 – 7 = 1242
HCF of 276 and 1242 = 12
Answer: 12

6. The LCM of two numbers is 420 and their HCF is 14. If one of the numbers is 84, what is the other number?
Using the formula: LCM × HCF = Product of two numbers
420 × 14 = 84 × x
x = (420 × 14) / 84
x = 70
Answer: 70

7. What is the smallest number which is exactly divisible by 12, 15, and 18?
LCM of 12, 15, and 18 = 2² × 3² × 5 = 180
Answer: 180

8. The product of two numbers is 864 and their HCF is 12. What is their LCM?
Using the formula: LCM × HCF = Product of two numbers
LCM × 12 = 864
LCM = 864 / 12
LCM = 72
Answer: 72

9. What is the greatest number which divides 201 and 262 leaving remainders 5 and 6 respectively?
201 – 5 = 196 and 262 – 6 = 256
HCF of 196 and 256 = 14
Answer: 14

10. The LCM of two numbers is 720 and their HCF is 8. If one of the numbers is 80, what is the other number?
Using the formula: LCM × HCF = Product of two numbers
720 × 8 = 80 × x
x = (720 × 8) / 80
x = 72
Answer: 72

11. What is the smallest number which when divided by 8, 12, and 15 leaves a remainder of 3 in each case?
LCM of 8, 12, and 15 = 120
Required number = 120 + 3 = 123
Answer: 123

12. The product of two numbers is 600 and their HCF is 10. What is their LCM?
Using the formula: LCM × HCF = Product of two numbers
LCM × 10 = 600
LCM = 600 / 10
LCM = 60
Answer: 60

13. What is the greatest number which divides 302 and 481 leaving remainders 2 and 3 respectively?
302 – 2 = 300 and 481 – 3 = 478
HCF of 300 and 478 = 15
Answer: 15

14. The LCM of two numbers is 900 and their HCF is 15. If one of the numbers is 180, what is the other number?
Using the formula: LCM × HCF = Product of two numbers
900 × 15 = 180 × x
x = (900 × 15) / 180
x = 75
Answer: 75

15. What is the smallest number which is exactly divisible by 10, 12, and 15?
LCM of 10, 12, and 15 = 2² × 3 × 5 = 60
Answer: 60

16. The product of two numbers is 1008 and their HCF is 12. What is their LCM?
Using the formula: LCM × HCF = Product of two numbers
LCM × 12 = 1008
LCM = 1008 / 12
LCM = 84
Answer: 84

17. What is the greatest number which divides 165 and 252 leaving remainders 5 and 6 respectively?
165 – 5 = 160 and 252 – 6 = 246
HCF of 160 and 246 = 16
Answer: 16

18. The LCM of two numbers is 1080 and their HCF is 18. If one of the numbers is 216, what is the other number?
Using the formula: LCM × HCF = Product of two numbers
1080 × 18 = 216 × x
x = (1080 × 18) / 216
x = 90
Answer: 90

19. What is the smallest number which when divided by 9, 12, and 15 leaves a remainder of 4 in each case?
LCM of 9, 12, and 15 = 180
Required number = 180 + 4 = 184
Answer: 184

20. The product of two numbers is 1296 and their HCF is 18. What is their LCM?
Using the formula: LCM × HCF = Product of two numbers
LCM × 18 = 1296
LCM = 1296 / 18
LCM = 72
Answer: 72 ➣ Next Post