Statement 1: Number of zeros at the end of 50! is equal to 12. Statement 2: Exponent of 2 in 50! is 47.

Statement-1: The number of zeros at the end of 100! Is, 24. Statement-2: The exponent of prine p in n!, is [(n)/(p)]+[(n)/(p^(2))]+.......+[(n)/(p^(r))] Where r is a natural number such that P^(r)lenltP^(r+1) .

Find the exponent of 12 in 50!

Statement 1: Number of terms in the expansion of (x+y+z+w)^(50) is .^(53)C_3 Statement 2: Number of non-negative solution of the equation p+q+r+s=50 is .^(53)C_3

50% of a number when added to 50 is equal to the number. The number is

Statement -1 : In NaCl crystal , all the octahdefral voids are occupied by Na^(+) ions. Statement-2 : The number of octahedral voids is equal to the number of Cl^(-) ions in the packing .

Statement 1: The number of circles passing through (1,2),(4,8) and (0,0) is one. Statement 2: Every triangle has one circumcircle

Statement 1: The variance of first n even natural numbers is (n^2-1)/4 Statement 2: The sum of first n natural numbers is (n(n+1)/2 and the sum of squares of first n natural numbers is (n(n+1)(2n+1)/6 (1) Statement1 is true, Statement2 is true, Statement2 is a correct explanation for statement1 (2) Statement1 is true, Statement2 is true; Statement2 is not a correct explanation for statement1. (3) Statement1 is true, statement2 is false. (4) Statement1 is false, Statement2 is true