Practice Divisibility rules Questions and Answers

• If a number 5678x43267y is completely divisible by 72 then (x+y)?
• If the number 1005x4 is completely divisible by 8, then the smallest integer in place of x will be:
• What is the least number which when divided by 15, 18 and 36 leaves the same remainder 9 in each case and is divisible by 11?
• If a nine-digit number 785x3678y is divisible by 72, then the value of (x − y) is:
• What is the smallest perfect square that is divisible by each of 42, 48 and 60?
• Find the greatest value of (a + b) such that an 8-digit number 4523a60b is divisible by 15.
• Find the greatest number 23a68b, which is divisible by 3 but NOT divisible by 9.
• The greatest number that will divide 398, 437 and 5425 leaving 7, 12 and 2 as remainders, respectively, is:
• Find the greatest number of four digits which is divisible by 14, 30 and 42.
• What is the largest common divisor of the numbers 1026, 2268 and 2430?
• What will be the remainder when 742 is divided by 48?
• Which of the following pairs of non-zero values of p and q make 6-digit number 674pq0 divisible by both 3 and 11?
• Find the greatest number that will divide 49, 147 and 322 to leave the same remainder in each case.
• A number n when divided by 6, leaves a remainder 3. What will be the remainder when (n2 + 5n + 8) is divided by 6?
• If the 6-digit number 1344AB is divisible by 3, 7, and 11, then what is the value of A + B?
• If the seven-digit number 52A6B7C is divisible by 33 and A, B, C are primes then the maximum value of 3A+2B+5C?
• The number 976512is non-divisible by which of the following numbers?
• Which of the following pairs of non-zero values of p and q make 6-digit number 674pq0 divisible by both 3 and 11?
• A six-digit number 11p9q4 is divisible by 24. Then the greatest possible value for (p + q) is
•   If a nine-digit number 89563x87y is divisible by 72, then the value of √ (8x -6y) will be ∶
• 21 is divided into three parts which are in arithmetic progression (A.P.) in such a way that the sum of their square is 155. Find the smallest part.
• 18 is divided into three parts which are in arithmetic progression (A.P.) in such a way that the sum of their square is 158. Find the square of the sum
• A number n when divided by 6, leaves a remainder 3. What will be the remainder when (n2 + 5n + 8) is divided by 6?
• A number n when divided by 6, leaves a remainder of 3. What will be the remainder when (n² +5n+8) is divided by 6?
• Which one of the following numbers is divisible by 11?
• If 'N' is the greatest three-digit number which when divided by 27, 6, 8 and 9 Leaves in each case the same remainder of 5, then the sum of the digits of '...
• A five-digit number 2A78B, is divisible by 55. What is the difference between the maximum and minimum possible value of (A-B)?
• Find the remainder when 23 x 34 x 45 x 56 x 67 x 78 is divided by 11.
• Find the remainder when 2722 is divided by 729.
• Find the remainder obtained by dividing 961125 by 37.
• What are the last two digits of 56283 x 141283 × 125254?
• The difference between two numbers is 3820. When a larger number is divided by a smaller number, the quotient and remainder are 32 and 7 respectively. Find...
• Find the smallest 4-digit number which when divided by 10, 15, 20, 25, 30 leaves remainder 9.
• The difference between the two numbers is 1980. The quotient and remainder are respectively 20 and 4 when the larger number is divided by the smaller one. ...
• How many factors of 23 × 33 × 54 ×91× is divisible by 50 but not by 100?
• What is the number of divisors of 480?
• The least perfect square number which is divisible by 9, 12, 15, 24:
• When a number is divided by 119, the remainder remains 15. When the same number is divided by 17, what will be the remainder?