Practice No. System Questions and Answers

• If the 4-digit number r76s is exactly divisible by 9, what is the least value of (r + s)?
• What is the largest common divisor of the numbers 1170, 2340, and 3510?
• 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'.
• 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.
• What is the smallest number that must be added to 1500 so that it becomes exactly divisible by 47?
• Find the least number that should be added to 2050 so that it becomes exactly divisible by 63.
• Average marks scored by a student in 5 subjects is 75. If average marks scored by him excluding his highest and lowest marks is 60 and highest marks scored...
• The nine-digit number 7x31265y2 is divisible by 88. Find the value of √(xy), given that x < 8 and y < 8.
• A number exceeds 45 times its reciprocal by 5/6. Find the number.
• A number is 2/5 more than 33 times its reciprocal. What is the number?
• A number exceeds 40 times its reciprocal by 7/8. Determine the number.
• A number is more than 21 times its reciprocal by 4. What is the number?
• What is the least value of ‘a’ that should come in the number 5943a2, to make the number exactly divisible by 8?
• A number increases by 30 when 60% of it is added to itself. What is the final value after addition?
• When 40% of a number is added to the number itself, the result is 21 more than the original number. What is the resulting number?
• A number becomes 90 more than itself when 120% of it is added to it. What number is obtained after the addition?