Find the greatest value of k for which the 6-digit number 24312k is divisible by 6.

If an 8-digit number 1862383A is divisible by 22, find the value of A.

The 4th term of an arithmetic progression is 15, 15th term is -29, find the 10th term?

Which of the following numbers is not a prime number?

If a certain number of two digits is divided by the sum of its digits, the quotient is 6 and the remainder is 3. If the digits are reversed and the resulting number is divided by the sum of the digits, the quotient is 4 and the remainder is 9. The sum of the digits of the number is 

Natu and Buchku each have certain number of oranges. Natu says to Buchku, “If you give me 10 of your oranges, I will have twice the number of oranges left with you”. Buchku replies,“If you give me 10 of your oranges, I will have the same number of oranges as left with you”. What is the number of oranges with Natu and Buchku, respectively?

A six digit number is formed by writing a three digit number two times consecutively. Find the least four digit number which can exactly divide this type of six digit number.

The sum of four numbers is 64. If you add 3 to the first number, 3 is subtracted from second number, the third is multiplied by 3 and the sum is divided by 3, then all the results are equal. What is the difference between the largest and the smallest of the original numbers?