(Q). An expression is given below:N = 1! + 2! + 3! + 4! + 5! + ………. + 99! + 100!(i) Find the unit digit of N(ii) Find the last two digit of N(iii) What will be the remainder when N is divided by 7....
(Q). Find the number of trailing zeros in (1! + 2! + 3! + 4! +5!)(6! + 7! + 8! + 9! + 10!)…………(96! + 97! + 98! + 99! + 100!). Solution:- (1! + 2! + 3! + 4! + 5!) ➝ as factorial number goes on increasing in every term. Hence in every term number...
(Q). Consider a number x.(x + 1).(x + 2).(x + 3)………till x terms. If above number is completely divisible by all two digit prime numbers then what is the minimum value of x.Solution:- Since largest two digit prime number is = 97 & Since above number is completely...
(Q). Given that k = 1! + 2! + 3! + 4! +5! + ……….. + 120!. Then which one of the following is true (i) k is odd (ii) k is even (iii) k is even or odd, can not be determined (iv) (k+3) is even. Solution:- Since 1! = 1 & all factorials...
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