Number of divisors of `2^5. 3^2 .5^3` which are divisible by 2 but not divisible by 6 and 8, is 8 (2) 12 (3) 20 (4) 72

For N=50400 the number of divisor of N , which are divisible by 6, divisible by

The sum of the divisors of 2^(5)xx3^(4)xx5^(2) , is

Which of the following numbers are divisible by 2, 4 or 8:

Column I Column II Total number of function f:{1,2,3,4,5}vec{1,2,3,4,5} than are on to and f(i)!= is equal to p. divisible by 11 If x_1, x_2x_3=2xx5xx7^2, then the number of solution set for (x_1, x_2, x_3)w h e r ex_1 in N ,x_1>1 is q. divisible by 7 Number of factors of 3780 are divisible b; either 3 or 2 both is r. divisible by 3 Total number of divisor of n=2^5xx3^4xx5^(10) that are of the form 4lambda+2,lambdageq1 is s. divisible by 4

Find the number of divisors of the number N=2^3 .3^5 .5^7 .7^9 which are perfect squares.

Find the number of divisors of the number N=2^3 .3^5 .5^7 .7^9 which are perfect squares.

The number of five-digit numbers which are divisible by 3 that can be formed by using the digits 1,2,3,4,5,6,7,8 and 9 , when repetition of digits is allowed, is

Which of the following statements are true? If a number divisible by 3, it must be divisible by 9. If a number is divisible by 9, it must be divisible by 3. If a number is divisible by 4, it must be divisible by 8. If a number is divisible by 8,it must be divisible by 4. A number is divisible by 18, if it is divisible by both 3 and 6. If a number divisible by both 9 and 10, it must be divisible by 90.

Which of the following statements are true? If a number is divisible by 3, it must be divisible by 9. If a number is divisible by 9, it must be divisible by 3. If a number is divisible by 4, it must be divisible by 8. If a number is divisible by 8, it must be divisible by 4. If a number is divisible by 18, if it is divisible by both 3 and 6. If a number is divisible by both 9 and 10, it must be divisible by 90. If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately. If a number divides three numbers exactly, it must divide their sum exactly. If two numbers are co-prime, at least one of them must be a prime number. The sum of two consecutive odd numbers is always divisible by 4.

A book contains 32 pages. A page is chosen at random. What is the probability that the sum of the digits on the page is : (i) divisible by 2 (ii) divisible by 3. (iii) divisible by 5 (iv) divisible by 2 or 3 or 5 (v) divisible by 2, 3 and 5 ?