Find the smallest 4-digit number divisible by 8, formed using the digits 0, 2, 3, 4, 6, 8, without any repetition.

If 608xy0 is divisible by both 3 and 11, the nonzero digit in the hundred’s place and ten’s places, respectively, are:

If the 6-digit number 57zxy8 is divisible by each of 7,11 and 13, then (x- 2y + z) is:

If a 10-digit number 620x976y52 is divisible by 88, then the least value of (x² + y²) will be:

A 4-digit number x92x is divisible by 36 and a 7-digit number y569z04 is divisible by 11. For the maximum value of (y + z), what is the value of (2x + y +z)?

If the number 756534P57Q is divisible by 72, then find the value of 2P + Q.

If N = 5¹³ + 5¹² + 5¹¹ + 5¹⁰, then how many positive factors of N are there?

A number is cube of 53. When 7 times of 57 is subtracted from the number, then the resultant number which is formed will be divisible by:

Consider the following statements :

1. If (3m³ + 2m² + 5m + n)/m is not an integer, where m and n are integers, then n is not divisible by m.

2. 5(8^m) + 2^3m is divisible by 48 for all whole numbers m.

Which of the statements given above is/are correct?

What will be the least number which when doubled will be exactly divisible by 12, 14, 16 and 18?

What is the least value of x + y, if the 10-digit number 780x533y24 is divisible by 88?

What will be the least value of x so that the 5-digit number 627x5 becomes divisible by 9?

Ram gives a six-digit number, 468312, to Shyam to check the divisibility. Shyam tells Ram that the number is divisible by 57. Shyam asks Ram, “If we rearrange the digits of this number in descending order, then by which number will it always be divisible?”

A six-digit number 4ABB8A is a multiple of 33 for non-zero digits A and B. Which of the following could be the possible values of A and B?

If the product 6352 × 7A1 is divisible by 12, then the value of A is:

Find the smallest three-digit number that is exactly divisible by 12, 45, and 24.

If the 7-digit number 612x97y is divisible by 72, and the 6-digit number 34z178 is divisible by 11, then the value of (x - 2y + 3z) is:

If the 5-digit number 457xy is divisible by 3, 7, and 11, then what is the value of (2x + 5y)?

The sum of the greatest and smallest numbers of six digits is:

What is the smallest four-digit Number formed by using the digits 3, 5, 0, 6?

Which of the following numbers is divisible by 6?

What is the smallest number that must be added to 19487161 so that it is divisible by 11?

If 6428A83 is divisible by 9, then the value of A is equal to :

 Find the least value of x for which 57x716 is divisible by 9.

If 8A5146B is divisible by 88, then what is the value of AB?

If the number 2378x43y is completely divisible by 72, then find the value of (2x + 3y).

The least number of five digits which is exactly divisible by 9, 12, 15, 25 and 27 is:

Find the square of the sum of the digits of the smallest number divisible by 18 and 24.

If the 7 digit number 504x5y3 is divisible by 11, then one of the values of the sum of x and y is

Find the absolute difference between the greatest 3-digit number and the smallest 4-digit number divisible by 12, 25, and 18.

What is the least number that should be added to 1351 so that the sum is exactly divisible by 2, 4, 6, and 8?

How many numbers between 10 and 65 are divisible by 2, 3 and 4?

Ram gives a six-digit number, 468312, to Shyam to check the divisibility. Shyam tells Ram that the number is divisible by 57. Shyam asks Ram, “If we rearrange the digits of this number in descending order, then by which number will it always be divisible?”

Find the greatest value of ‘k’ in a 6-digit number 6745k2 such that the number is divisible by 3.

3⁵⁰ + 9²⁶ + 27¹⁸ + 9²⁸ + 9²⁹ is divisible by which of the following integers?

The five-digit number 45yz0 is divisible by 40. What is the maximum possible value of (y + z)?

7¹⁵+7¹⁶+ 7¹⁷ is divisible by which of the following given numbers?

How many numbers up to 980 are divisible by both 3 and 7?

Which composite number can divide the sum of the first 12 natural numbers?

If 436P5 is divisible by 3, then the largest value of P is:

Which of the following numbers is NOT divisible by 8?

If the 9-digit number 5x79856y6 is divisible by 36, then what is the negative value of \(\sqrt{(2x + y)}\) for the largest possible value of y, given x and y are natural numbers?

Which of the numbers 9592450, 9592330, 9592885 and 9592741 is divisible by 11?

Find the least number that is exactly divisible by 20, 28, 34, 60, and 75.

Which of the following is the greatest four-digit number that is divisible by 15, 25, 40, and 75?

If a seven-digit number 42971K2 is divisible by 44, then the value of K is:

What is the least number that must be added to the greatest 6-digit number so that the sum will be exactly divisible by 294?

Which of the following numbers is not divisible by 6.

What is the number which, when increased by 20, is completely divisible by 18, 56 and 42?

If the number 756534P57Q is divisible by 72, then find the value of 2P + Q.