Practice No. System Questions and Answers

• A certain number gives a remainder of 8 when divided by 17. What will be the remainder when four times that number is divided by 17?
• A number when divided by 25 leaves a remainder of 19. What will be the remainder when five times that number is divided by 25?
• A number gives a remainder of 14 when divided by 29. What will be the remainder when six times that number is divided by 29?
•  If the sum of two numbers is 45, and their difference is 9, what are the two numbers?
• Indicate the numbers that are divisible by both 2 and 3.
• If the 4-digit number m52n is exactly divisible by 9, then what is the least value of (m + n)?
• If the 4-digit number p89q is exactly divisible by 9, what is the least value of (p + q)?
• If the 4-digit number a34b is exactly divisible by 9, what is the least value of (a + b)?
• If the 4-digit number r76s is exactly divisible by 9, what is the least value of (r + s)?
• If the 4-digit number y29z is exactly divisible by 9, what is the least value of (y + z)?
• What is the largest common divisor of the numbers 1170, 2340, and 3510?
• Find the highest common divisor of 1080, 2700, and 6480.
• What is the greatest common divisor of 1320, 1980, and 3300?
• Determine the largest common factor of 1764, 4410, and 8820.
• Find the greatest common divisor of 1540, 2310, and 3850.
• A number leaves a remainder of 17 when divided by 23. What will be the remainder when three times that number is divided by 23?
• The sum of the digits of a two-digit number is 7. If 45 is subtracted from this number, the resulting number has its digits reversed. Determine the origina...
• What is the maximum value of (a + b) if '5a346b8' is divisible by 12?
• In a class of 720 students, the ratio of boys to girls is 3:2. Additionally, among the boys, the ratio of those who participated in dancing to those who pa...
• Find the total sum of all numbers between 60 and 320 that are divisible by both 12 and 18.
• A room contains three shelves: the 1st, 2nd, and 3rd. The number of books on the 1st and 2nd shelves are in the ratio of 6:11, while the number of books on...
• Find the sum of all two-digit numbers that are exactly divisible by 7.
• Find the sum of all two-digit numbers that are exactly divisible by 6.
• Find the sum of all two-digit numbers that are exactly divisible by 9.
• Find the sum of all two-digit numbers that are exactly divisible by 5.
• Find the sum of all two-digit numbers that are exactly divisible by 4.
• Sum and difference of two natural numbers is 89 and 15. Find the square of sum of digits of smaller number.
• Determine the value of 'n' if '87n9812' is always divisible by 9.
• Find the remainder when the number (289n + 147) is divided by 17.
• 'N' is the largest three-digit number that leaves 2 as a remainder when divided by 9, 12 and 5, Find the sum of digits of 'N'.
• The remainder obtained on dividing a number 'N' by 4 is 3, Find the remainder 'N + 9' is divided by '4'.
• Find the unit digit of (57 129  - 7).
• A number when divided by 45 leaves 38 as remainder. If the same number is divided by 15, the remainder would be:
• A number gives a remainder of 19 when divided by 50. Find the remainder when the same number is divided by 25.
• A number, when divided by 64, leaves a remainder of 47. What will be the remainder when it is divided by 16?
• A number leaves a remainder of 21 when divided by 55. Find the remainder when the same number is divided by 11.
• What is the smallest number that must be added to 750, so that it becomes completely divisible by 42?
• Find the least number that should be added to 1240 so that it is exactly divisible by 65.
• What is the minimum number that should be added to 850 to make it perfectly divisible by 37?
• Determine the least number that must be added to 960 to make it a multiple of 48.