(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...
(Q). k is the product of first 100 multiples of 15. Find the number of trailing zeros in k.Solution:- k = (15×1).(15×2).(15×3)…………(15×100)k = 15¹⁰⁰ × 100!now highest power of 5 in...
(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...
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