(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!...
(Q). find the first two non-zero digit FTNZD of (555!).(444!).Solution:- if wer multiply these two factorial numbers then number of trailing zeros in the product will be the summation of trailing zeros in these two factorial numbers.∴ FTNZD of product = FTNZD(555!) ×...
(Q). A three digit number xyz is such that x + y + z = 26. Then find the sum of all possible values of x!.y!.z!.Solution:- x + y + z = 269 9 8 ⇾ 998, 989, 899∴ there will be three such numbers.9!.9!.8! + 9!.8!.9! + 8!.9!.9!= 3.9!.9!.8!...
(Q). If highest power of 8 in N! is 19. Then find the highest power of 8 in (N+1)!.Solution:- Highest power of 8 in N! = 19∴ highest power of 2 in N! = 57, 58 or 59now we are to find such value of NTo find such...
(Q). Find the FNZD in 20!×30!×40!×50!×60! Solution:- In this case the number of trailing zeros in the product will be the summation of number of trailing zeros in individual terms. & FNZD of the product will be the multiplication of the FNZD’s of all the...
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