Question:
If S = (1 x 1!) + (2 x 2!) + (3 x 3!) + … + (11 x 11!), then (S + 5) when divided by 12! leaves a remainder of
If S = (1 x 1!) + (2 x 2!) + (3 x 3!) + … + (11 x 11!), then (S + 5) when divided by 12! leaves a remainder of
Updated On: Jul 26, 2024
- 0
- 1
- 4
- 6
- 7
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
The correct option is (C): 4
Was this answer helpful?
0
0
Top Questions on Number Systems
- The product of the last 2 digits of $ (1919)^{1919} $ is:
- JEE Main - 2025
- Mathematics
- Number Systems
- The remainder, when \(7^{98}\) is divided by 23, is equal to:
- JEE Main - 2025
- Mathematics
- Number Systems
- The number of natural numbers, between 212 and 999, such that the sum of their digits is 15, is _____.
- JEE Main - 2025
- Mathematics
- Number Systems
- The greatest value of \( n \), where \( n \in \mathbb{N} \), such that \( 3^n \) divides \( 50! \) is:
- JEE Main - 2025
- Mathematics
- Number Systems
- Let \( A = \{1, 2, 3, \dots, 10\} \) and \( B = \left\{ \frac{m}{n} : m, n \in A, m <n \text{ and } \gcd(m, n) = 1 \right\} \). Then \( n(B) \) is equal to :
- JEE Main - 2025
- Mathematics
- Number Systems
View More Questions
Questions Asked in IBSAT exam
- In triangle DEF shown below, points A, B and C are taken on DE, DF and EF respectively such that EC = AC and CF = BC. If angle D = 40 degress, then what is angle ACB in degrees?
- IBSAT
- Triangles, Circles & Quadrilaterals
- Directions: In the question, the first two words are related in a particular manner. You have to choose a word from the options so that a new pair of words is formed where the relation is the same as that of the first pair of words. You are required to consider the secondary meaning of certain words while choosing an answer.
Vindicator : Revenge :: Epicurean :- IBSAT
- Analogy
- Lumber : Bear :: Waddle :
Directions: In the question, the first two words are related in a particular manner. You have to choose a word from the options so that a new pair of words is formed where the relation is the same as that of the first pair of words. You are required to consider the secondary meaning of certain words while choosing an answer.- IBSAT
- Analogy
- A boy has some coins with some value on them. He arranges the coins in the form of a star as shown below such that the sums of the numbers in the four circles along any line segment of the star are all equal. What is the sum of the missing numbers?
- IBSAT
- Logical and Analytical Reasoning Skills
- Directions: Fill in the blanks with the words that best fit the meaning of the sentence as a whole.
If a nation is unable to come to ______ on interpreting its own past, it will be unable to ______ its national interests.- IBSAT
- Fill in the Blanks
View More Questions