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

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

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What is the least number, which when divided by 15, 80, 20 and 75 leaves remainder 14 in each case?

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The numbers 73, 115 and 185 are divided a by number to leave the same remainder. Find the greater possible such number.

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When two numbers are separately divided by 44, the remainders are 11 and 38, respectively. If the sum of the two numbers is divided by 44, then the remainder will be:

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On dividing a number by 42, we get 120 as the quotient and 0 as the remainder. On dividing the same number by 41, what will be the remainder?

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 A number ‘y’ when divided by 225 leaves 33 as the remainder. The same number when divided by 15 leaves ‘z’ as the remainder. The value of z is:

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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?

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The greatest number, by which when the numbers 1658 and 2038 are divided, the remainder are 7 and 6, respectively, is:

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The difference between two numbers is 1086. When we divide the larger number by the smaller we get six as quotient and six as remainder. Find the larger number.

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

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Find the greatest number which on dividing 1780 and 2452 leaves the remainder 4 in each case.

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The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15, and 18 is:

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When a positive number N is divided by 13 leaves the remainder 11, then find the remainder when 26N is divided by the same divisor.

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If a natural number when divided by 4, 5, 7, and 6 leaves a remainder of 3 in each case, then what is the smallest possible three-digit natural number?

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Find the remainder when the smallest 6-digit number divisible by 12, 15, and 25 is divided by 9.

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

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

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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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A number, when divided by 405, leaves a remainder of 30. What will be the remainder when the same number is divided by 27?

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

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A number divided by 17 leaves 6 as a remainder. What is the remainder when the square of the same number is divided by 17?

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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.

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When a positive number N is divided by 9 leave the remainder 2, then find the remainder when 13N is divided by the same divisor.

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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.

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Find the sum of all 3 digit numbers that leave a remainder of 3 when divided by 8.

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

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When a number divided by 6171 gives the remainder 99. What will be the remainder when the same number is divided by 51?

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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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Find the remainder when 979127 is divided by 35.

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Find the remainder when 413 divided by 3.

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Find the remainder when 571110132 is divided by 9.

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Find 150% of X, if X is the least number which when divided by 6, 7, 8, 9, and 12 remainders 2, 3, 4, 5, and 8 respectively.

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

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Find the smallest 4-digit number which if divided by 10, 12, 15, 24, or 30 leaves the remainder as 9.

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The smallest number when divided by 8, 13 and 17 leaves a remainder 5. Find the remainder when the same number is divided by 9.

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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 sum of all 3 digit numbers that leave a remainder of 4 when divided by 10.

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

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Find the sum of all 3 digit numbers that leave a remainder of 5 when divided by 10.

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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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A is the smallest three-digit number which when divided by 3, 4, and 5 leaves remainders 1, 2, and 3 respectively. What is the sum of the digits of A?

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

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Find the greatest number which when divides 261, 853, and 1221, leaves a remainder of 5 in each case.

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Find the least number which when divided by 4, 9, 12 and 15, leaves the remainder 3 in each case.
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Which of the following numbers leaves the remainder equal to the highest common factor of 6, 8, and 9, when divided by 6, 8, and 9?

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

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What will be the remainder when (265)4081+ 9 is divided by 266?

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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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