Practice No. System Questions and Answers

• When (406 77  + 55) is divided by 58, the remainder is:
• A number 'x' is first multiplied by 11, and the result is subtracted from its square. After adding 24 to the resulting value, the final outcome is zero. Gi...
• If '3849x' is a five digit number which is divisible by 91, then find the value of 'x'.
• Calculate the difference between number of factors and sum of factors of 396.
• What is the highest possible sum of (x + y) if the number '7x542y6' is divisible by 12?
• What is the highest possible sum of (m + n) if the number '9m813n2' is divisible by 12?
• What is the highest possible sum of (p + q) if the number '4p679q3' is divisible by 12?
• What is the highest possible sum of (u + v) if the number '6u317v4' is divisible by 12?
• A two-digit number has a sum of its digits equal to 9. Additionally, if 27 is subtracted from this number, the resulting number has its digits reversed. Wh...
• A two-digit number has a sum of its digits equal to 10. Additionally, if 36 is subtracted from this number, the resulting number has its digits reversed. W...
• A two-digit number has a sum of its digits equal to 8. Additionally, if 27 is subtracted from this number, the resulting number has its digits reversed. Wh...
• A two-digit number has a sum of its digits equal to 11. Additionally, if 54 is subtracted from this number, the resulting number has its digits reversed. W...
• A two-digit number has a sum of its digits equal to 12. Additionally, if 45 is subtracted from this number, the resulting number has its digits reversed. W...
• A number leaves a remainder of 12 when divided by 19. What will be the remainder when three times that number is divided by 19?
• A number when divided by 21 gives a remainder of 15. What will be the remainder when twice that number is divided by 21?
• 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.