1	Find the remainder when ( 300300 - 1 ) is divided by 1001. Type in your answer as an integer. ... CAT Quantitative Ability Theory of Numbers Remainders
2	Find the remainder when 3340 is divided by 341. Type in your answer as an integer. For example... CAT Quantitative Ability Theory of Numbers Remainders
3	Find the remainder when (40! + 2) is divided by 41. Type in your answer as an integer. For example,... CAT Quantitative Ability Theory of Numbers Remainders Advanced Theorems Wilson's Theorem
4	Find the remainder when 52k is divided by 13 where ( k = 1!  + 2!+.......+ 5!). Type in y... CAT Quantitative Ability Theory of Numbers Remainders
5	What is the remainder when the number 123123123.....123123(300 digits) is divided by 99? Type in yo... CAT Quantitative Ability Theory of Numbers Remainders
6	Find the remainder when 21990 is divided by 1990. Type in your answer as an integer. For examp... CAT Quantitative Ability Theory of Numbers Remainders
7	Find the remainder when 752 is divided by 2402. Type in your answer as an integer. For example... CAT Quantitative Ability Theory of Numbers Remainders
8	The last two digit in the expansion of (1989)91​ : Type in your answer as an integer. For example, ... CAT Quantitative Ability Theory of Numbers Remainders
9	What is the remainder when 1 + (11)11 + (111)111 + (1111)1111 + ...(111.(10 digits)..111)111…... CAT Quantitative Ability Theory of Numbers Remainders
10	What is the remainder when 3040 is divided by 7? Type in your answer as an integer. For example, if... CAT Quantitative Ability Theory of Numbers Remainders
11	The units digit of the expression ( 11 1 + 12 2 + 13 3 + 14 4 + 15 5 + 16 6 ) is T... CAT Quantitative Ability Theory of Numbers Remainders Properties of Remainders
12	Find the last 2 digits of 123123! Type in your answer as an integer. For example, if your answer is... CAT Quantitative Ability Theory of Numbers Remainders
13	The remainder when (888222888222888222 …. upto 9235 digits) is divided by 53 is :  ... CAT Quantitative Ability Theory of Numbers Remainders
14	The remainder when (888!) 999 169 is divided by 77 is : Type in your answer as an ... CAT Quantitative Ability Theory of Numbers Remainders
15	Find the remainder when 270 is divided by 96. CAT Quantitative Ability Theory of Numbers Remainders
16	What is the remainder when 2256 divided by 17? CAT Quantitative Ability Theory of Numbers Remainders
17	Find the least number which must be subtracted from 9269 so that resulting number is exactly divisib... CAT Quantitative Ability Theory of Numbers Remainders Properties of Remainders
18	Find the remainder when 43444 is divided by 9. Type in your answer as an integer. For example,... CAT Quantitative Ability Theory of Numbers Remainders
19	What is the remainder when 123 × 124 × 125 is divided by 9? CAT Quantitative Ability Theory of Numbers Remainders
20	The digit in the units place of the number represented by ( 7 95 − 3 58 ) is Type in... CAT Quantitative Ability Theory of Numbers Remainders Properties of Remainders
21	If n is a positive prime integer, what is the remainder when ( n2n-1) is divided by ( n -&... CAT Quantitative Ability Theory of Numbers Remainders
22	What is the least number which when divided by 12, 18, 36 and 45 leaves remainders 8, 14, 32 and 41,... CAT Quantitative Ability Theory of Numbers Remainders Properties of Remainders
23	The units digit of ( 12345k ) 72 is 6. Among the given options, what can be the value of k? ... CAT Quantitative Ability Theory of Numbers Remainders Properties of Remainders
24	Is there any positive integer 'n' possible such which can divide ( 2n + 3n&nb... CAT Quantitative Ability Theory of Numbers Remainders
25	The last digit of the number obtained by multiplying the numbers 81⋅82⋅83⋅84⋅85... CAT Quantitative Ability Theory of Numbers Remainders Properties of Remainders
26	How many numbers between 11 and 1111 which when divided by 9 leave a remainder of 6 and when di... CAT Quantitative Ability Theory of Numbers Factors, Multiples HCF, LCM Application of Remainders Remainders
27	What is the remainder when 1! + 2! + 3! + …. + 100! is divided by 5? Type in your answer as ... CAT Quantitative Ability Theory of Numbers Remainders
28	Find the least number (greater than 20) which is a factor of 7 101 + 18 101  Type in your... CAT Quantitative Ability Theory of Numbers Remainders Properties of Remainders
29	What is the remainder when S = 1! + 2! + 3! +…….+ 19! + 20! is divided by 20? Type in... CAT Quantitative Ability Theory of Numbers Remainders
30	What is the sum of all two-digit numbers that give a remainder of 3 when they are divided by 7? Typ... CAT Quantitative Ability Theory of Numbers Remainders
31	Find the last two digits of 78(379k+2), where k is a natural number Type in your answer as an integ... CAT Quantitative Ability Theory of Numbers Remainders
32	What is the remainder when 33333...........333 (200 times) is divided by 13? Type in your answer as... CAT Quantitative Ability Theory of Numbers Remainders
33	What is the remainder when 683 + 883 is divided by 49? Type in your answer as an integer. For examp... CAT Quantitative Ability Theory of Numbers Remainders
34	The remainder when (1! + 2! + 3! + ….. + 50!) is divided by 10 is: Type in your answer as an... CAT Quantitative Ability Theory of Numbers Remainders
35	If k and m are natural numbers, then the remainder when (3k + ( -1)m)6 is divided by 9 : ... CAT Quantitative Ability Theory of Numbers Remainders
36	What is the remainder when (81)21 + (27)21 + (9)21 + (3)21 + 1 is divided by 320 + 1? Type in your ... CAT Quantitative Ability Theory of Numbers Remainders