Question
data-sheets-value="{"1":2,"2":"The product of two numbers is 10140 and their HCF is 13. Total number of such pairs of numbers is "}" data-sheets-userformat="{"2":4993,"3":{"1":0},"10":2,"11":4,"12":0,"15":"arial,sans,sans-serif"}">The product of two numbers is 10140 and their HCF is 13. Total number of such pairs of numbers is?
Solution
As HCF is 13 so let numbers be 13x & 13y. It means x & y must be co-prime. Now 13x × 13y = 10140, So xy = 60. Now pairs of (x, y) can be (1,60) , (2,30) , (3,20) , (4,15) , (5,12) & (6, 10). Here only (1,60) , (3,20) , (4,15) & (5, 12) are co-prime so number of pairs are 4.
More HCF and LCM Questions
- On which date is National Safe Motherhood Day observed annually in India?
- Which social reformer established the Satyashodhak Samaj?
Where was the Vietnam-India Bilateral Army Exercise (VINBAX) 2024 conducted?
Where was the final of the ACC Men’s T20 Emerging Teams Asia Cup 2024 held?
Which ruler founded the city of Hisar in Haryana?
National Payments Corporation of India is a corporation established by the Reserve Bank of India, in which year was it established?
- Which airline has been recognized as the world’s safest full-service airline in 2025?
- During spring, plants primarily transport stored food from their roots to which structures?
In which year was the prestigious Saraswati Samman literary award instituted?
What is the purpose of "Operation Rising Sun"?
Relevant for Exams:
