HCF & LCM · Question 13 · Hard
How many pairs of natural numbers have HCF 16 and product 7168?
- 1
- 3
- 2
- 4
Answer and explanation
Answer: C. 2
Explanation: Write the numbers as 16a and 16b with a, b co-prime: 256ab = 7168, so ab = 28. Co-prime pairs are (1, 28) and (4, 7), giving 2 pairs: (16, 448) and (64, 112).
Previous: The HCF and LCM of two numbers are 11 and 7700 respectively. If one number is… · Next: What is the largest 4-digit number which leaves a remainder of 3 when divided…
Practise hcf & lcm
Try a fresh set of hcf & lcm questions with an explanation after every answer, free and without signing up: HCF & LCM practice. Or sit a full placement mock test.
More hcf & lcm questions
- A hall floor measures 6.24 m by 4.32 m. What is the least number of identical…
- What is the smallest 4-digit number exactly divisible by 12, 15 and 18?
- The HCF and LCM of two numbers are 11 and 7700 respectively. If one number is…
- What is the largest 4-digit number which leaves a remainder of 3 when divided…
- The sum of two numbers is 528 and their HCF is 33. How many such pairs of…
- What is the HCF of 156 and 234?
- What is the LCM of 16, 24 and 40?
- The HCF of two numbers is 8 and their LCM is 96. If one of the numbers is 24…
- Three traffic signals on a Bengaluru road change every 48 seconds, 72 seconds…
- Which of the following pairs of numbers is co-prime?
More quantitative aptitude practice
Simplification · Percentages · Profit & Loss · Simple & Compound Interest · Ratio & Proportion · Averages · Problems on Ages · Mixtures & Alligation
LogicWiz Exams home · All practice topics · Placement mock tests · Daily 10 challenge