HCF & LCM

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Q. A gardener has 36 red roses and 48 yellow roses. He wants to plant them in rows with the same number of each type of rose in each row. What is the maximum number of rows he can plant? (2023)
  • A. 6
  • B. 12
  • C. 18
  • D. 24
Q. A gardener has two types of plants, one type has a height of 3 feet and the other 5 feet. What is the minimum height at which both types can be tied together? (2023)
  • A. 15
  • B. 30
  • C. 60
  • D. 45
Q. A number is divisible by both 12 and 15. What is the smallest number that is also divisible by 36? (2023)
  • A. 180
  • B. 120
  • C. 240
  • D. 360
Q. A teacher has 48 pencils and 60 erasers. She wants to distribute them equally among students. What is the maximum number of students she can distribute to? (2023)
  • A. 12
  • B. 6
  • C. 8
  • D. 10
Q. If the HCF of 24 and 36 is 12, what is the LCM of these two numbers? (2023)
  • A. 72
  • B. 48
  • C. 60
  • D. 84
Q. If the HCF of two numbers is 5 and their product is 1000, what is their LCM? (2023)
  • A. 200
  • B. 100
  • C. 250
  • D. 150
Q. If the LCM of three numbers is 180 and their HCF is 3, what is the product of the three numbers? (2023)
  • A. 540
  • B. 1800
  • C. 5400
  • D. 18000
Q. If the LCM of two numbers is 120 and their HCF is 10, what is the product of the two numbers? (2023)
  • A. 1200
  • B. 1000
  • C. 2400
  • D. 600
Q. If the LCM of two numbers is 60 and their HCF is 4, what is the product of the two numbers? (2023)
  • A. 240
  • B. 120
  • C. 300
  • D. 180
Q. In a class of 60 students, the ratio of boys to girls is 3:2. If the number of boys is increased by 10, what will be the new ratio of boys to girls? (2023)
  • A. 4:3
  • B. 5:2
  • C. 3:2
  • D. 2:3
Q. In a class of students, the ratio of boys to girls is 3:2. If the total number of students is 50, how many boys are there? (2023)
  • A. 20
  • B. 30
  • C. 25
  • D. 15
Q. The ages of two siblings are in the ratio 4:5. If the sum of their ages is 72, what is the age of the older sibling? (2023)
  • A. 40
  • B. 36
  • C. 32
  • D. 28
Q. Two numbers have an HCF of 8 and an LCM of 72. If one of the numbers is 16, what is the other number? (2023)
  • A. 36
  • B. 24
  • C. 32
  • D. 48
Q. Which of the following numbers is a multiple of both 8 and 12? (2023)
  • A. 24
  • B. 32
  • C. 40
  • D. 48
Q. Which of the following pairs of numbers has an HCF of 1? (2023)
  • A. 8 and 12
  • B. 15 and 28
  • C. 9 and 27
  • D. 14 and 21
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