The difference between two numbers is 3820. The quotient and remainder are respectively 32 and 7 when the larger number is divided by the smaller one. Find the larger number.

The largest number will be ___________by which when divided 275 and 146 leaves the remainder 5 and 6 respectively.

On dividing a number by 55, we get 28 as the remainder. On dividing the same number by 11, what is the remainder?

The difference between two numbers is 3820. The quotient and remainder are respectively 32 and 7 when the larger number is divided by the smaller one. Find the larger number.

Find the remainder when 9²⁰ + 2 is divided by 4.

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

When a number is divided by 13, it leaves the remainder 6. What will be the remainder when the square of the same number is divided by 13?

The least multiple of 23 when divided by 18, 21, and 24 leaves the remainder 7. 10, and 13 respectively. The number is:

Let x be the least number which, when divided by 12, 18, 20, 27, and 30, the remainder in each case is 2, and x is divisible by 47. If the HCF of x and 1932 is y, then the sum of the digits of y is:

The divisor is 11 times the quotient and 5 times the remainder. If the remainder is 44, then the dividend is:

If a number is divided by 899, the remainder is 63. If the same number is divided by 29. The remainder will be:

In a division problem, the divisor is 12 times the quotient and 9 times the remainder. If the remainder is 96, then find the dividend.

What is the remainder when we divide 3⁹⁰ + 5⁹⁰ by 17?

Rahul had some marbles. When he distributed the marbles equally among 27 children, he found that 17 marbles were left. Had he distributed the marbles equally among 19 children and 15 children, he still would have had 9 and 5 marbles, respectively, left with him. But when he distributed them equally among 80 children, no marble was left. The number of marbles that Rahul initially had may lie between ________.

 Find the remainder: (17¹³ − 21) ÷ 18

Find the smallest number that leaves a remainder of 4 on division by 5, 5 on division by 6, 6 on division by 7, 7 on division by 8 and 8 on division by 9?

Two positive numbers differ by 2880. When the greater number is divided by the smaller number, the quotient is 6 and the remainder is 120. What is the HCF of the greater of the two given numbers and 3916?

Find the remainder when (7⁸⁶ + 5⁸⁶) is divided by 74.

When the number of 2k + 1 form is divided by 7 leaves a remainder of 3. When divided by 5 the remainder is 4. What is the sum of all three digits such numbers?

Let x be the least 4-digit number which when divided by 2, 3, 4, 5, 6 and 7 leaves a remainder of 1 in each case. If x lies between 2800 and 3000, then what is the sum of the digits of x?

If n is a natural number, then what is the sum of all distinct remainders of 4ⁿ + 6ⁿ + 9ⁿ + 11ⁿ when divided by 10 for various values of n?

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?

When m is divided by 7, the remainder is 5. When 3m is divided by 7, the remainder is:

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.

Find the smallest 5-digit number which when divided by 15, 20 and 25 leaves remainders 7, 12 and 17, respectively.

A number is divided by 49 and leaves a remainder of 9. If the same number is divided by 7, then the remainder will be:

When a number is divided by 7611 gives the remainder 91. What will be the remainder when the same number is divided by 59?

What is the sum of all 3-digit numbers that give a remainder of 5 when they are divided by 50?

What is the remainder when we divide 4⁵⁰ + 7⁵⁰ by 65?

A natural number n divides 732 and leaves 12 as a remainder. How many values of n are possible?

When 93, 119, and 158 are divided by the integer n (n > 1), the remainder in each case is d. What is the value of (n + d)?

Let d + 2(2b + c) = 19. What will be the remainder when the 4-digit number abcd is divided by 8?

Find the smallest 5-digit number which when divided by 15, 20 and 25 leaves remainders 7, 12 and 17, respectively.

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

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

When a number X is divided successively by 3, 5 and 7 leaves a remainder of 2, 3 and 4 respectively. What is the sum of the digits of the smallest such possible X?

Find the least number when it is divided by 12, 15, and 16 leaving remainder 7, 10, and 11 respectively.

The remainder of the term 9 + 9² + ... + 9⁽²ⁿ⁺¹⁾ when divided by 6 is:

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.

Find the remainder when 7⁶ + 5 is divided by 6.

What will be the remainder when we divide 3⁵⁰ + 5⁵⁰ by 34.

On dividing a number by 55, we get 28 as the remainder. On dividing the same number by 11, what is the remainder?

A number when divided by 78 gives the quotient 280 and the remainder 0. If the same number is divided by 65. what Will be the value of the remainder?

When (2²⁴ - 1) is divided by 7, then the remainder is:

If a natural number, when divided by 5, 6, and 7, leaves a remainder of 4, in each case, then what is the smallest possible three-digit natural number?

If a natural number, when divided by 2, 3, and 4, leaves a remainder of 1 in each case, then what is the smallest possible three-digit natural number?

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

When a positive number n is divided by 12, it leaves the remainder 4. When 8n is divided by the same number, what will be the remainder?

The largest four-digit number which when divided by 7, 11 and 13 leaves remainder 4 in each case is: