Cluster · Number Theory - Remainders and Divisibility

d
Clusters / #1269
tight score 0.09

Remainders Divisibility and Division Problems
Questions
416
Questions in this cluster
414 total
Question Category Subtype Difficulty

What is the least number when divided by 6, 8, 24 leaves a remainder of 3?

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up_police intermediate

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.

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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?

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In a division sum, the divisor is 4 times the quotient and 3 times the remainder. Find the dividend if the remainder is 20.

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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.

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What is the remainder when 38 is divided by 7?

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

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When the number M is divided by 7, the remainder is 6. What is the reminder if the square of M is divided by 7?

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

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

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

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Find the least possible number which when divided by 16, 24, and 28 leaves 13, 21, and 25 as remainders, respectively.

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

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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?

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What will be the remainder when 849562 is divided by 15?

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What is the remainder when 2579315 is divided by 11?

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Find the remainder if 345 × 620 is divided by 8.

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

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Find the remainder when 36102 is divided by 37.

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What is the remainder when a number N = 1234567891011...99 is divided by 16?

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Find the Product of remainders, when 1264 divided by 64 and 1856 divided by 56.

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

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What is the least number when divided by 12, 16, 32 leaving a remainder of 5?

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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.

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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?

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If we write natural numbers starting from 1 up to 87 digits then, check whether it is divisible by 16 or not, if not find the remainder.

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

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What is the remainder when 5225 is divided by 7?

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What is the remainder of 31272/26?

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In a division, If quotient is four times remainder and dividend is twenty-five times divisor, find the divisor if the remainder is 6. 

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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?

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What is the sum of all the numbers (greater than 100 but less than 1000) which when divided by 7, 5, and 4 gives a remainder of 3?

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If a is the smallest number for which a6a (three-digit number) is divisible by 8, then what is the remainder when aa (two-digit number) is divided by 8?

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Find the remainder when 387 is divided by 81.

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What is the largest 3 digit number when it is divided by 87 leaves remainder 3?

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Find the remainder when 387 is divided by 81.

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

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

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If a number gives 2 as the remainder when it is divided by 5, find the remainder when the square of the number is divided by 5.

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

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

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If (18556 + 603) is divided by 17 then, what will be the remainder?

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Find the greatest number that will divide 96, 148 and 73 leaving remainder 6, 4 and 1.

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Find the remainder when 36102 is divided by 37.

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Dividing 547 by p gives a remainder of 7. How many such maximum values ​​can p have?

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Find the remainder if 345 × 620 is divided by 8.

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If a number n + 3 is divided by 6 leaves the remainder 5. What will be the remainder, if 5n is divided by 8?

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Let p be the least number which when divided by 27 and 20, the remainder is 10. Find the least number to be subtracted from p to make it a perfect square.

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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?

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

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