When a number is divided by 7, it leaves 1 as the remainder. When the cube of this number is divided by 7, what will be the remainder?

Find the remainder when 4¹³ divided by 3.

If N = (24³ + 25³ + 26³ + 27³) is divided by 102, then find the remainder.

When three numbers 531, 567, and 591 are divided by the largest number n it leaves 'm' as a remainder in each case. Find the value of 3n - 6m.

A number when divided by 112 it leaves 31 as remainder. When the same number is divided by 14 and 16 it leaves remainder as A and B respectively then what is the ratio of A and B?

What will be the remainder when 3²⁷ is divided by 26?

When a number is divided by 7991, the remainder is 89. What will be the remainder when the same number is divided by 61?

In a division sum, the divisor is 11 times the quotient and 22 times the remainder. If the remainder is 9 then find the dividend.

A number when divided by 48, leaves the remainder 5, and the quotient found out is 3 times the remainder. Find the remainder when this number is divided by 25.

A natural number N leaves remainder of 1 when it is divided by 2, 3, 4, 5 or 7. Find the number of possible values of N if N < 10000.

Q is the smallest natural number such that it leaves a remainder of 3 when divided by 11 and 4 when divided by 9. What will be the remainder when Q is divided by 7?

What is the remainder when [7^{(4n + 3)}] × 6ⁿ is divided by 10; where ‘n’ is a positive integer.

What is the second smallest number which upon dividing by 3, 5, 7 and 11 leaves a remainder of 2 in each case?

What is the remainder when 6557 × 4123 is divided by 12?

A number, when divided by 108, leaves a remainder of 19. What will be the remainder when the same number is divided by 12?

Find the remainder when (1723⁸⁸⁸ + 1235²²²) is divided by 4.

Find the greatest number that divides 320, 378, and 552 and leaves the same remainder in each case.

N is the smallest three digit prime number. When N is divided by 13, then what will be the remainder?

A number when divided by 8 leaves a remainder of 6, when divided by 9 leaves a remainder of 7, when divided by 10 leaves a remainder of 8. What would be sum of such numbers which are less than 1000?

What is the least number that when divided by 11, 13, 19 leaves the remainder of 7 in each case?

Find the remainder when 36¹⁰² is divided by 37.

What is the remainder when we divide 7¹¹⁰ + 11¹¹⁰ by 170?

Find the number when successively divided 3, 5, and 7, leaving the remainder 2, 1, and 3, respectively, and the last quotient is 3.

When a positive integer 'n' is divided by 12, the remainder is 5. What will be the remainder if 8n² +7 is divided by 12?

Find the remainder when 4¹³ divided by 3.

A number divided by 15 leaves a remainder of 5. What is the remainder when the square of the same number is divided by 15?

When an integer n is divided by 6, the remainder is 5. What is the remainder if 9n is divided by 6?

What will be the remainder when (56⁴⁵ + 56) is divided by 57?

What will be the remainder when 31 × 32 × 33 is divided by 5?

Find the remainder when 32 × 33 × 34 × 35 × 36 × 37 is divided by 17.

The difference between two numbers is 4176. The quotient and remainder are respectively 36 and 11 when the larger number is divided by the smaller one. Find the larger number.

x is the smallest six-digit number which, when divided by 20, 21, 22, 24, and 28, the remainder in each case is 5. What will be the quotient when x is divided by 462?

 If 7 divides the integer, then the remainder is 2. What will be the remainder if 9n is divided by 7?

If (77⁷⁷+77) is divided by 78, then the remainder will be:

On dividing a certain number by 304, we get 43 as the remainder. If the same number is divided by 16, what will be the remainder?

Find the smallest 4-digit number that, if divided by 9, 12, 15, 18, or 36, leaves the remainder as 7.

When a positive number n is divided by 15 leaves the remainder 13, when 5n is divided by the same number, then find the remainder.

Find the least number which is when divided by 21, 23, and 25 leaves the same remainder of 19 in each case.

A number divided by 15 leaves a remainder of 5. What is the remainder when the square of the same number is divided by 15?

Find the remainder when 979¹²⁷ is divided by 35.

What is the remainder when (x¹⁷ + 1) is divided by (x + 1)?

By dividing 14528 by a certain number, Suresh gets 83 as the quotient and 3 as the remainder. What is the divisor?

Find the second smallest number which, when divided by 81 or 63, leaves a remainder of 7 in each case.

Find the least number which when divided by 12,15, 18 and 27 leaves remainders 10, 13, 16 and 25 respectively.

What is the greatest number which divides 784 and 857 and leaves the remainder 4 and 2, respectively?

The divisor is 10 times the quotient and 5 times the remainder in a division sum. what is the dividend if the reminder is 46?

Find the remainder when 3⁸⁷ is divided by 81.

Let X be the least number divisible by 13 such that when X divided by 4, 5, 6, 7, 8, and 12 the remainder in each case is 2. What is the sum of digits of X?