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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?

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