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 ( n2n1) 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 twodigit 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
