(Q). Let p be a two digit prime number greater than 60 & k be a number such that k= . Given that exponent of p in k is 2. then how many such value of p exists....
(Q). If x(y!) is completely divisible by 5¹⁵ & x is a single digit number. then find the minimum & maximum value of y. Solution:- To find the minimum value of y ➪Since x is a single digit number & we have to find the minimum value of y:So take x as 3now we...
(Q). If S is the sum of factorial of all the prime numbers less than 150. Then what will be the last three digit of S. Solution:- Since the last three digits of factorials greater than or equal to 15! are ‘000’. Hence we need not to consider factorial...
(Q). Find the number of trailing zeros in 1!.2!.3!.4!.5!………148!.149!.150!. Solution:- 1! till 4! will have same number of trailing zeros.5! till 9! will have same number of trailing zeros.10! till 14! will have same number of trailing zeros.15! till...
1. if a! + b! + c! + d! + e! +f! + g! + h! is a two digit number. Find the maximum value of a. 2. If unit digit of x! + y! + z! is 9 then find the value of x!.y!.z!. 3. Find the unit digit of 1! + 2! + 3! + 4! + 5! +6! + ………… +15! 4. If N = p!...
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