Number Which is equal to the Sum of the factorial of the digits
(Q.)ABC is three digit number in which A>0. The value of ABC is equal to the sum of the factorials of its three digits. What is the value of B? (a)9 (b)7 (c)4 (d)2 [CAT 1997 Questions, CAT...
View Articlefind the highest power of 5 which can divide 80!
(Q.)What is the greatest power of 5 which can divide 80! exactly? (a)16 (b)20 (c)19 (d)None of these [GMAT Questions , Factorial , Greatest power of 5, Quotient , CAT 1991 Questions, CAT Questions, MBA...
View ArticleQuestion based on Factorial and Remainder – division by 11
Q.)Let n!=1*2*3*4*5……*n for integer n≥1.If p=1!+(2*2!)+(3*3!)……+(10*10!),then p+2 when divided by 11! Leaves a remainder of (i)10 (ii)0 (iii)7 (iv)1 [Factorial , Remainder when divided by 11 ,...
View ArticleCAT 1993 Question – Number of zeroes in A Factorial
Q.)The product of all integers from 1 to 100 will have the following numbers of zeroes at the end. A)20 B)24 C)19 D)22 Solution : 1X2X3X4X5X6X………X100 = 100! A combiation of 2 and 5 always produces one...
View ArticleNMAT 2008 Question-15
Q.)A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5, without repetition. The total number of ways in which this can be done is (A) 216 (B) 240 (C) 600 (D) 3125...
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