Question : The product of two two-digit numbers is 2160, and their HCF is 12. The numbers are:
Option 1: (12 and 60)
Option 2: (72 and 30)
Option 3: (36 and 60)
Option 4: (60 and 72)
Latest: SSC CGL Tier 1 Result 2024 Out | SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL Tier 1 Scorecard 2024 Released | SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: (36 and 60)
Solution : Let the 1st number be $12x$ and the other be $12y$ Given: $HCF =12$ and product of two numbers = 2160 So, product of two numbers = $12x × 12y$ $2160 = 144xy$ $\Rightarrow xy = \frac{2160}{144}$ $\Rightarrow xy = 15$ The possible co-prime pairs of 15 are (1,15) and (3,5) Therefore, the numbers are (12 $×$ 1 and 12 $×$ 15) or (12 $×$ 3 and 12 $×$ 5) Hence, the numbers are (12 and 180) or (36 and 60) Hence, the correct answer is (36 and 60).
Candidates can download this ebook to know all about SSC CGL.
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Question : The HCF of the two numbers is 12. Which one of the following can never be their LCM?
Question : The product of the two numbers is 1500 and their HCF is 10. The number of such possible pairs is/are:
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:
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:
Question : The greater of the two numbers whose product is 900 and whose sum exceeds their difference by 30 is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile