The position of how many alphabets will remain unchanged

Find the smallest number divisible by 45, 60, and 75 that is greater than 1500.

If the number 1005x4 is completely divisible by 8, then the smallest integer in place of x will be:

The greatest number that will divide 398, 437 and 5425 leaving 7, 12 and 2 as remainders, respectively, is:

A six-digit number 23p7q6 is divisible by 24. Then the greatest possible value for (p + q) is:

Find the largest 4-digit number divisible by 88.

A number gives a remainder of 27 when divided by 36. What will be the remainder when the same number is divided by 12?

What is the smallest perfect square that is divisible by each of 42, 48 and 60?

Find the least 4-digit number which is when divided by 18, 30, and 45 leaves a remainder of 7 in each case.

When a number is divided by 19, the quotient is 145, and the difference between the quotient and the remainder is 134. Find the number.