31.
The sum of the digits of two-digit number is 10, while when the digits are reversed, the number decrease by 54. Find the changed number.

32.
If A381 is divisible by 11, find the value of the smallest natural number A?

33.
If 381A is divisible by 9, find the value of the smallest natural number A?

34.
A forester wants to plant 44 apples tree, 66 banana trees and 110 mango trees in equal rows (in terms of number of trees). Also, he wants to make distinct rows of tree (i.e. only one type of tree in one row). The number of rows (minimum) that required is:

35.
The greatest number which will divides: 4003, 4126 and 4249, leaving the same remainder in each case:

36.
Find the number of divisors of 1420.

37.
The LCM of two numbers is 1890 and their HCF is 30. If one of them is 270, the other will be

38.
Find the least number of five digits which when divided by 40, 60, and 75, leave remainders 31, 51 and 66 respectively.

39.
There are 576 boys and 448 girls in a school that are to be divided into equal sections of either boys or girls alone. Find the total number of sections thus formed?

40.
Which of following can never be ending of a perfect square?

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