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

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

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delhi_police intermediate

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?

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

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What is the remainder when 38 is divided by 7?

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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:

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When 63410 is divided by 9, what will be the remainder?

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When a number n + 3 is divided by 6, it leaves the remainder 5. What will be the remainder, if 4n is divided by 8?

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When a positive number n is divided by 12 leaves the remainder 4, when 8n is divided by the same number, then find the remainder.

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The largest three-digit number that gives the same remainder 2 when divided by 3, 5, and 9 is ________.

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Which is the largest number that divides each of 1036, 1813 and 3885 without leaving any remainder?

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

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

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Find the remainder when 452365452365.......[900 digits] is divided by 1001.

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In a number system, on dividing 11509 by a certain number, Mukesh gets 71 as the quotient and 7 as the remainder. What is the divisor?

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A number was successively divided by 3, 5 and 7 and leaves a remainder of 2, 1 and 1 respectively. What is the value of the least possible number?

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

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

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What is the remainder when 2579315 is divided by 11?

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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 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 n + 3 is divided by 6, it leaves the remainder 5. What will be the remainder, if 4n 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 452365452365.......[900 digits] is divided by 1001.

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

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Find the remainder when 387 is divided by 81.

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What is the greatest number that will divide 233 and 860 leaving the remainder 5 in both cases?

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We get 7 as a remainder when 547 is divided by p. Find the maximum values of p.

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

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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 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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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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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?

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In a number system, on dividing 11509 by a certain number, Mukesh gets 71 as the quotient and 7 as the remainder. What is the divisor?

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

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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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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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Find the greatest number that will divide 115, 149 and 183 leaving remainders 3, 5, 7 respectively.

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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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When a number n is divided by 5. the remainder is 2. When n2 is divided by 5. The remainder will be:
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A number when divided by 280 leaves 73 as the remainder. When the same number is divided by 35, the remainder will be:

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What is the remainder when 38 is divided by 7?

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

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

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

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What is the remainder when 8127 is divided by 8?

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

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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?

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Find the largest number with which when 394 and 658 are divided, they leave remainders of 1 and 3, respectively.

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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?

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