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 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?

pipeline-844833
railways intermediate

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

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railways intermediate

Find the remainder when 36102 is divided by 37.

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railways intermediate

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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railways intermediate

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

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ssc intermediate

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

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railways intermediate

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

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ssc intermediate

Let x be the number between 6500 and 7000 that when divided by 10, 12, 14 and 16, the remainders are 3, 5, 7 and 9, respectively. What is the sum of the digits of x?

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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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ssc intermediate

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

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Find the remainder when 979127 is divided by 35.

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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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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)?

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

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ssc intermediate

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

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ssc intermediate

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

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

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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.

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

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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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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?

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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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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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Find the remainder if 699 is divided by 5.

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

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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.

pipeline-1131982
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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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Find the remainder when 413 divided by 3.

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

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If N = (243 + 253 + 263 + 273) is divided by 102, then find 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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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 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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A number, when divided by 108, leaves a remainder of 19. What will be the remainder when the same number is divided by 12?

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A number ‘x’ when divided by 3, gives a remainder 2. The quotient when divided by 7 gives a remainder 3. The quotient is again divided by 5 and leaves a remainder of 2. What will be the remainder when x is divided by 15?

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

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Find the remainder if 699 is divided by 5.

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

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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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On dividing 8675123 by a certain number, the quotient is 33611 and the remainder is 3485. The divisor is ______.

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Find the remainder when 32 × 33 × 34 × 35 × 36 × 37 is divided by 17.

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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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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?

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

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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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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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