Question : The sum of and difference between the LCM and HCF of two numbers are 512 and 496, respectively. If one number is 72, then the other number is:
Option 1: 56
Option 2: 64
Option 3: 40
Option 4: 80
New: SSC CGL 2025 Tier-1 Result
Latest: SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: 56
Solution : Let the two numbers as 'a' and 'b', where a = 72 (given). According to the problem, ⇒ LCM + HCF = 512 ⇒ LCM – HCF = 496 We can solve these two equations to find the values of LCM and HCF. Adding the two equations, ⇒ 2LCM = 512 + 496 = 1008 ⇒ LCM = 504 Substituting LCM = 504 in the first equation, ⇒ 504 + HCF = 512 ⇒ HCF = 512 – 504 = 8 Now, we know that the product of two numbers is equal to the product of their LCM and HCF. ⇒ a × b = LCM × HCF ⇒ 72 × b = 504 × 8 ⇒ b = 56 So, the other number is 56 Hence, the correct answer is 56.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : Two numbers are in the ratio of 6 : 5. If their HCF is 3, then what is the LCM of the two numbers?
Option 1: 64
Option 2: 110
Option 3: 90
Question : The HCF of the two numbers is 21 and their LCM is 840. If one of the numbers is 49, then the other number is:
Option 1: 650
Option 2: 540
Option 3: 810
Option 4: 360
Question : The HCF and LCM of the two numbers are 21 and 84, respectively. If the ratio of the two numbers is 1:4, then the larger of the two numbers is:
Option 1: 12
Option 2: 108
Option 3: 48
Option 4: 84
Question : The HCF of two numbers is 17 and the other two factors of their LCM are 11 and 19. The smaller of the two numbers is:
Option 1: 209
Option 2: 187
Option 3: 323
Option 4: 306
Question : The sum of the two numbers is 98. The difference between the two numbers is 28. Find one of the two numbers.
Option 1: 32
Option 2: 62
Option 3: 58
Option 4: 35
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile