Number Systems

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Q. A box contains 36 red balls and 48 blue balls. What is the maximum number of equal groups that can be formed with the balls? (2023)
  • A. 6
  • B. 12
  • C. 18
  • D. 24
Q. A certain number when divided by 15 gives a remainder of 8. If this number is multiplied by 2, what will be the remainder when the new number is divided by 15? (2023)
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. A factory produces two types of widgets. The first type is produced every 12 days and the second every 15 days. How often will both types be produced on the same day? (2023)
  • A. 30 days
  • B. 60 days
  • C. 45 days
  • D. 75 days
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 60 red flowers and 90 yellow flowers. What is the largest number of bouquets he can make if each bouquet has the same number of red and yellow flowers? (2023)
  • A. 15
  • B. 30
  • C. 45
  • D. 60
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 gardener has two types of plants, one type requires watering every 4 days and the other every 6 days. If both types are watered together today, in how many days will they be watered together again? (2023)
  • A. 12
  • B. 24
  • C. 18
  • D. 30
Q. A group of students can complete a project in 12 days. If 4 more students join, they can complete it in 8 days. How many students were initially in the group?
  • A. 6
  • B. 8
  • C. 10
  • D. 12
Q. A group of students can complete a project in 12 days. If 4 more students join, the project can be completed in 8 days. How many students were initially in the group? (2023)
  • A. 6
  • B. 8
  • C. 10
  • D. 12
Q. A number is divided by 11 and gives a remainder of 4. If this number is multiplied by 3, what will be the remainder when the result is divided by 11?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. A number is divided by 12 and gives a remainder of 7. If this number is increased by 5, what will be the new remainder when divided by 12? (2023)
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. A number is divided by 12 and gives a remainder of 7. If this number is multiplied by 2, what will be the remainder when the new number is divided by 12? (2023)
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. A number is divided by 15 and gives a remainder of 9. If this number is decreased by 4, what will be the new remainder when divided by 15? (2023)
  • A. 0
  • B. 1
  • C. 2
  • D. 5
Q. A number is divided by 6 and gives a remainder of 4. If this number is multiplied by 3, what will be the remainder when the result is divided by 6?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. A number is divided by 6 and gives a remainder of 4. If this number is multiplied by 2, what will be the remainder when divided by 6? (2023)
  • A. 0
  • B. 1
  • C. 2
  • D. 4
Q. A number is divided by 7 and gives a remainder of 3. If this number is increased by 4, what will be the new remainder when divided by 7?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. A number is divided by 7 and gives a remainder of 4. If this number is increased by 10, what will be the new remainder when divided by 7?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. A number is divided by 8 and gives a remainder of 3. If this number is increased by 5, what will be the new remainder when divided by 8? (2023)
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. A number is divided by 9 and gives a remainder of 2. If this number is multiplied by 3, what will be the remainder when the new number is divided by 9?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. A number is divided by 9 and gives a remainder of 5. If this number is increased by 4, what will be the new remainder when divided by 9? (2023)
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. A number is divided by 9 and leaves a remainder of 5. If this number is increased by 4, what will be the new remainder when divided by 9? (2023)
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. A number is divisible by 12 and leaves a remainder of 5 when divided by 8. What is the possible value of this number? (2023)
  • A. 20
  • B. 29
  • C. 41
  • D. 53
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 number is divisible by both 12 and 15. What is the smallest number that is also divisible by both? (2023)
  • A. 30
  • B. 60
  • C. 90
  • D. 120
Q. A number is divisible by both 2 and 5. Which of the following must be true?
  • A. It is even.
  • B. It is odd.
  • C. It is a prime number.
  • D. It is a multiple of 10.
Q. A number is divisible by both 4 and 6. What is the smallest number that is also divisible by 12?
  • A. 12
  • B. 24
  • C. 36
  • D. 48
Q. A number is divisible by both 6 and 8. What is the smallest number that is also divisible by 12? (2023)
  • A. 24
  • B. 48
  • C. 36
  • D. 60
Q. A number is divisible by both 8 and 14. What is the least number of digits in the smallest number that is divisible by both? (2023)
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. A number is said to be a multiple of 4 if its last two digits form a number that is divisible by 4. Which of the following numbers is NOT a multiple of 4?
  • A. 124
  • B. 256
  • C. 378
  • D. 492
Q. A number is said to be a perfect square if it has an integer as its square root. Which of the following numbers is a perfect square?
  • A. 18
  • B. 20
  • C. 25
  • D. 30
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