Cluster · Number Theory - Remainders and Divisibility
| Question | Category | Subtype | Difficulty | |
|---|---|---|---|---|
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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
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railways | — | intermediate | |
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Find the least number when it is divided by 12, 15, and 16 leaving remainder 7, 10, and 11 respectively. pipeline-823631
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railways | — | intermediate | |
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Find the remainder when 36102 is divided by 37. pipeline-844811
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railways | — | intermediate | |
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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? pipeline-801773
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railways | — | intermediate | |
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Find the greatest number which on dividing 1780 and 2452 leaves the remainder 4 in each case. pipeline-1282726
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ssc | — | intermediate | |
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What is the largest natural number, which divides 127 and 156 leaving remainders of 7 and 6 respectively? pipeline-801668
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railways | — | intermediate | |
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If N = (243 + 253 + 263 + 273) is divided by 102, then find the remainder. pipeline-1282723
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ssc | — | intermediate | |
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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? pipeline-1347246
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ssc | — | intermediate | |
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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? pipeline-1282804
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ssc | — | intermediate | |
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What will be the remainder when (5645 + 56) is divided by 57? pipeline-1341023
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ssc | — | intermediate | |
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Find the remainder when 979127 is divided by 35. pipeline-1340966
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ssc | — | intermediate | |
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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. pipeline-1337981
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ssc | — | intermediate | |
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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)? pipeline-1168299
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ssc | — | intermediate | |
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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. pipeline-1168407
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ssc | — | intermediate | |
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What is the least number, which when divided by 15, 80, 20 and 75 leaves remainder 14 in each case? pipeline-1282837
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ssc | — | intermediate | |
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What will be the remainder when (5645 + 56) is divided by 57? pipeline-1163966
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ssc | — | intermediate | |
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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. pipeline-1201797
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ssc | — | intermediate | |
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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:
pipeline-1192119
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ssc | — | intermediate | |
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What will be the remainder when 31 × 32 × 33 is divided by 5? pipeline-1192122
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ssc | — | intermediate | |
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What will be the remainder when 849562 is divided by 15? pipeline-1192400
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ssc | — | intermediate | |
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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. pipeline-1163957
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ssc | — | intermediate | |
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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: pipeline-1201716
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ssc | — | intermediate | |
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Find the least number which when divided by 4, 9, 12, and 15, leaves the remainder 3 in each case.
pipeline-1201182
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ssc | — | intermediate | |
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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? pipeline-1193547
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ssc | — | intermediate | |
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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? pipeline-1192291
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ssc | — | intermediate | |
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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: pipeline-1163869
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ssc | — | intermediate | |
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Find the remainder if 699 is divided by 5. pipeline-1168733
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ssc | — | intermediate | |
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What will be the remainder when (5645 + 56) is divided by 57? pipeline-1243418
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ssc | — | intermediate | |
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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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ssc | — | intermediate | |
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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? pipeline-1131979
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ssc | — | intermediate | |
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Find the remainder when 413 divided by 3. pipeline-1094792
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ssc | — | intermediate | |
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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: pipeline-1114616
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ssc | — | intermediate | |
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If N = (243 + 253 + 263 + 273) is divided by 102, then find the remainder. pipeline-1055736
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ssc | — | intermediate | |
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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: pipeline-1056677
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ssc | — | intermediate | |
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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? pipeline-1040468
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ssc | — | intermediate | |
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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? pipeline-1056678
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ssc | — | intermediate | |
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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? pipeline-988354
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ssc | — | intermediate | |
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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? pipeline-1168722
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ssc | — | intermediate | |
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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? pipeline-1193431
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ssc | — | intermediate | |
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Find the remainder if 699 is divided by 5. pipeline-1153656
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ssc | — | intermediate | |
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What will be the remainder when 31 × 32 × 33 is divided by 5? pipeline-1154258
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ssc | — | intermediate | |
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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: pipeline-1154241
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ssc | — | intermediate | |
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On dividing 8675123 by a certain number, the quotient is 33611 and the remainder is 3485. The divisor is ______. pipeline-1130247
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ssc | — | intermediate | |
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Find the remainder when 32 × 33 × 34 × 35 × 36 × 37 is divided by 17. pipeline-1138980
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ssc | — | intermediate | |
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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. pipeline-1068664
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ssc | — | intermediate | |
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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? pipeline-1042466
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ssc | — | intermediate | |
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Find the greatest number that divides 320, 378, and 552 and leaves the same remainder in each case. pipeline-1026625
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ssc | — | intermediate | |
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Find the greatest number that will divide 115, 149 and 183 leaving remainders 3, 5, 7 respectively. pipeline-1029328
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ssc | — | intermediate | |
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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? pipeline-1026538
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ssc | — | intermediate | |
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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? pipeline-1038552
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ssc | — | intermediate |