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

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?

What is the largest natural number, which divides 127 and 156 leaving remainders of 7 and 6 respectively?

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

The remainder when a number is divided by 15 the remainder is 3 and when the same number is divided by 4 the remainder is 1. What is the least number that satisfies both conditions?

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?

Mohan divides 14817 by a certain number. If the quotient and the remainder he gets are 98 and 117, respectively, then the divisor is:

When 860, 1712, and 3203 are divided by a two-digit number x, then the remainder in each case is y. If (2x + y) is written as p × q × r², where p, q, and r are prime numbers, then what is the value of (p + q + r)?

When the integer n is divided by 18, the quotient is x and the remainder is 6, When the integer n is divided by 25, the quotient is y and the remainder is 15. Which of the following is true?

Two numbers, when divided by a certain divisor, leave the remainder 57. When the sum of the two numbers is divided by the same divisor, the remainder is 49. The divisor is:

If polynomial P(x) = x³ - 3x² + 5x - 3 is divided by polynomial G(x) = x² - 2, the quotient and remainder are:

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.

In a division problem, the divisor is 4 times the quotient and 2 times the remainder. If the remainder is 32, then find the dividend.

 Find the remainder: (17¹³ − 21) ÷ 18

(8⁶+1) when divided by 7, would leave a remainder of:
 

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

The smallest number that, when divided by 11, 15, and 12, leaves a remainder of 7. Find the remainder when the same number is divided by 9.

The difference between the two numbers is 4002. The quotient and remainder are respectively 34 and 9 when the larger number is divided by the smaller one. Find the larger number.

When 2²⁵⁶ is divided by 17, the remainder would be:

When a number is divided by 512 it leaves a remainder 67. If the same number is divided by 32, then what will be the remainder?

In a division sum, the divisor is 14 times the quotient and 28 times the remainder. If the remainder is 6 then find the dividend.

A number divided by 18 leaves a remainder 3. What is the remainder when the square of the same number is divided by 18?

 Find the smallest 4-digit number that is divided by 4, 5, 6, 15, 10, and leaves the remainder as 3.

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

Find the remainder when 935¹²³ is divided by 39.

After the division of a number successively by 2, 3 and 5, the remainders are 1, 2 and 3, respectively. What will be the remainder, if 13 divides the same number (if the last quotient is 1)?

On dividing a certain number by 459, we get 19 as the remainder. What will the remainder be when the same number is divided by 17?

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)?

A number r when divided by 8 leaves remainder 3. What will be the remainder when (r² + 6r + 7) is divided by 8?

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

Find the four-digit dividend of 21, 42, 147, and 105 that will give the remainder 14, 35, 140, and 98, respectively.

Two positive integers differ by 1627. When the larger integer is divided by the smaller, the quotient is 7 and the remainder is 157. The sum of the smaller integer is:

Let x be the least number which, when divided by 34, 38, and 85, the remainders are 25, 29, and 76 respectively, and x is divisible by 21. What is the sum of the digits of x?

When a number N is successively divided by 6, 5, and 7, the remainders obtained are 3, 1, and 4, respectively. What is the remainder when N is divided by 15?

If the number is successively divided by 7, 4 and 3 leaves remainder 5, 3 and 2 respectively. If the order of divisor are reversed then what will be the remainder?

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?

Let x be the greatest number that divides 6564, 7416, and 8907; the remainder in each case is the same. The sum of the digits of x is:

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

Find the largest number which divides 203, 359, 437 and 593 leaving remainder 8 in each case.

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

A number when divided by 18 leaves a remainder 7. The same number when divided by 12 leaves a remainder n. How many values can n take?

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.

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?

Find the sum of all 3-digit numbers that leave a remainder of 4 when divided by 11.

When 1395, 2247, and 3738 are divided by a certain two-digit number k, the remainder in each case is p. What is the value of (2k - 3p)?

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?

A number when divided by 234 gives the remainder 36. What will be the remainder when it is divided by 13?

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?