Mathematics · 2021
JEE Main · 27 July 2021, Shift 2 · Q83
Let n be a non-negative integer. Then the number of divisors of the form " 4 n +1 " of the number (10)^10 ·(11)^11 ·(13)^13 is equal to \ \ \ \.
Let n be a non-negative integer. Then the number of divisors of the form " $\displaystyle 4 \mathrm{n}+1$ " of the number $\displaystyle (10)^{10} \cdot(11)^{11} \cdot(13)^{13}$ is equal to \_\_\_\_.
Official answer
924
More from Permutations and Combinations
- If all the six digit numbers x_1 x_2 x_3 x_4 x_5 x_6 with 0<x_1<x_2<x_3<x_4<x_5<x_6 are arranged in the increasing order, then the sum of the digits…2023
- The number of symmetric matrices of order 3, with all the entries from the set \{0, 1, 2, 3, 4, 5, 6, 7, 8, 9\}, is2023
- A scientific committee is to be formed from 6 Indians and 8 foreigners, which includes at least 2 Indians and double the number of foreigners as…2021
- The number of three-digit even numbers, formed by the digits 0,1,3,4,6,7 if the repetition of digits is not allowed, is \ \ \ \.2021
- Two families with three members each and one family with four members are to be seated in a row. In how many ways can they be seated so that the same…2020
- The number of natural numbers, between 212 and 999, such that the sum of their digits is 15, is ____.2025
- The number of ways in which 21 identical apples can be distributed among three children such that each child gets at least 2 apples, is2024
- The number of square matrices of order 5 with entries from the set {0,1}, such that the sum of all the elements in each row is 1 and the sum of all…2023
JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.