What is the maximum value of m if the number N=35*45*55*60*124*75 is divisible by 5^m?

The difference between Compound itnerest and simple interest  at the same rate of interest R percent p.a on an amount of Rs 15000 for 2 years is Rs 96.What is ths value of R?

The expression x³q²- x³pt+4x²pt-4x²q²+3xq²-3xpt is divisible by

The difference between the squares of two consecutive odd integers is always divisible by

A student was asked to multiply a number by 25.He instead multiplied the number by 52 and got the answer 324 more than correct answer.The number to be multiplied was

Consider the following equations:

1.The equation 1990x-173y=11 has no solution in integers for x and y

2.The equation 3x-12y=7 has no solution in integers for x and y

Which of the above statements are correct?