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Practice Divisibility rules Questions and Answers

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?
How can 420 mobile phones be shared equally in the students present in the classroom?
Which of the following numbers will completely divide 412 + 413+ 414 + 415 + 416?
. Which of the following numbers is divisible by 24?
which of the following pairs of non-zeroes values of p and q make the 6-digit number 674pq0 divisible by both 3 and 11?
If the polynomial (2x3 + ax2 + 3x-5) and (x3 + ax² - 2x + a) leave the same remainder when divided by (x - 2), find the remainder....
What is the minimum value of X for which 437X6 is divisible by 9?
Find the remainder when 413 is divided by 5.
When a natural number 'n' is divided by 4, the remainder is 3. What will be the remainder when (2n + 3) is divided by 4?
How many 3 digit numbers are divisible by 3?
x + 5x – 2x – 24 has a zero at x = 6. Find the other zeros.
Find the quotient of 0.36 ÷ 0.48 (correct to three decimal places).
What is the remainder when 219 is divided by 3?
If the 6-digit number 589y72 is completely divisible by 8, then the smallest integer in place of y will be:
If the 6-digit number 324a16 is completely divisible by 8, then the largest integer that can replace a is:
If 1234567y is divisible by 11, then what is the value of y?
If the number 10293y8 is divisible by 11, then what is the value of y?
Which of the following numbers is divisible by 22?
Which of the following numbers is divisible by 22?
Which of the following numbers is divisible by 24?
A six-digit number 23p7q6 is divisible by 24. Then the greatest possible value for (p + q) is:

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