Cluster · Number Theory - Remainders and Divisibility
| Question | Category | Subtype | Difficulty | |
|---|---|---|---|---|
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When a number is divided by 7, leaves 1 as the remainder. When the cube of this number is divided by 7, what will be the remainder? pipeline-607706
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quant | — | intermediate | |
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Which is the largest number that divides each of 1036, 1813 and 3885 without leaving any remainder? pipeline-582021
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quant | — | 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-575396
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quant | — | intermediate | |
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When m is divided by 7, the remainder is 5. When 3m is divided by 7, the remainder is: pipeline-550049
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quant | — | intermediate | |
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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. pipeline-817
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reasoning | — | intermediate | |
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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? pipeline-509866
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reasoning | — | intermediate | |
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What is the remainder when 20193 divided by 11? pipeline-17772
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reasoning | — | intermediate | |
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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? pipeline-1343
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reasoning | — | intermediate | |
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Find the remainder when (1723888 + 1235222) is divided by 4. pipeline-3032
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reasoning | — | intermediate | |
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x is the least possible natural number that is added to 85 to make it divisible by 13. Now if resultant number is squared and then x is added and is divided by 23, the remainder will be? pipeline-5322
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reasoning | — | intermediate | |
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Without doing the actual division, find the remainder when 28735429 is divided by 9. pipeline-1306154
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mp_police | — | intermediate | |
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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? pipeline-1306043
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mp_police | — | intermediate | |
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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. pipeline-1306253
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mp_police | — | intermediate | |
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The divisor is 11 times the quotient and 5 times the remainder. If the remainder is 44, then the dividend is: pipeline-1305950
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mp_police | — | intermediate | |
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Which is the largest number that divides each of 1036, 1813 and 3885 without leaving any remainder? pipeline-1306039
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mp_police | — | intermediate | |
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On dividing a certain number by 304, we get 43 as the remainder. If the same number is divided by 16, what will be the remainder? pipeline-1306151
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mp_police | — | intermediate | |
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Find the largest number which divides 203, 359, 437 and 593 leaving remainder 8 in each case. pipeline-1300186
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mp_police | — | intermediate | |
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Let x be the least number which when divided by 12, 18, 20, 27 and 30, the remainder in each case is 2 and x is divisible by 47. If the HCF of x and 1932 is y, then the sum of the digits of y is? pipeline-1302126
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mp_police | — | intermediate | |
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The difference between two numbers is 3820. The quotient and remainder are respectively 32 and 7 when the larger number is divided by the smaller one. Find the larger number. pipeline-1302113
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mp_police | — | intermediate | |
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When 1395, 2247, and 3738 are divided by a certain two-digit number k, the remainder in each case is p. What is the value of (2k - 3p)? pipeline-1305829
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mp_police | — | intermediate | |
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When a positive integer 'n' is divided by 12, the remainder is 5. What will be the remainder if 8n2 + 7 is divided by 22? pipeline-1302117
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mp_police | — | intermediate | |
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Find the remainder when 32 × 33 × 34 × 35 × 36 × 37 is divided by 17. pipeline-1291613
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mp_police | — | 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-1290615
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mp_police | — | intermediate | |
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What will be the remainder when 31 × 32 × 33 is divided by 5? pipeline-1291610
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mp_police | — | 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-1297040
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mp_police | — | intermediate | |
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Two positive numbers differ by 2134. When the greater number is divided by the smaller number, the quotient is 2 and the remainder is 147. What is the HCF of the greater of the two given numbers and 4225? pipeline-1299296
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mp_police | — | intermediate | |
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What is the remainder when 38 is divided by 7? pipeline-1290618
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mp_police | — | intermediate | |
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Find the remainder when 920 + 2 is divided by 4. pipeline-1273622
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mp_police | — | intermediate | |
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What is the remainder when we divide 450 + 750 by 65? pipeline-1286130
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mp_police | — | intermediate | |
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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? pipeline-1273624
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mp_police | — | intermediate | |
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When 93, 119, and 158 are divided by the integer n (n > 1), the remainder in each case is d. What is the value of (n + d)? pipeline-1272125
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mp_police | — | intermediate | |
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In a division problem, the divisor is 12 times the quotient and 9 times the remainder. If the remainder is 96, then find the dividend. pipeline-1269979
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mp_police | — | intermediate | |
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If N = (243 + 253 + 263 + 273) is divided by 102, then find the remainder. pipeline-1333917
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bihar_police | — | intermediate | |
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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? pipeline-1324069
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bihar_police | — | intermediate | |
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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? pipeline-1323871
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bihar_police | — | 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-1307913
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bihar_police | — | intermediate | |
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When 2256 is divided by 17, the remainder would be: pipeline-1363809
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rajasthan | — | intermediate | |
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The divisor is 4 times the quotient and 3 times the remainder. Find the dividend if the remainder is 20.
pipeline-1353621
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rajasthan | — | 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-1351865
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rajasthan | — | intermediate | |
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When 2525 is divided by 26, the remainder is ? pipeline-1193949
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up_police | — | intermediate | |
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What is the least number that when divided by 11, 13, 19 leaves the remainder of 7 in each case? pipeline-1193958
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up_police | — | 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-1171795
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up_police | — | intermediate | |
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Find the remainder when 32 × 33 × 34 × 35 × 36 × 37 is divided by 17. pipeline-1148176
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up_police | — | intermediate | |
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The remainder of the term 9 + 92 + ... + 9(2n+1) when divided by 6 is: pipeline-1145277
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up_police | — | intermediate | |
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When 2256 is divided by 17, the remainder would be: pipeline-1139695
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up_police | — | intermediate | |
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In a division sum, the divisor is 13 times the quotient and 6 times the remainder. If the remainder is 39, then the dividend is: pipeline-1142040
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up_police | — | intermediate | |
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What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder? pipeline-1139541
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up_police | — | intermediate | |
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When all the students of a school are arranged in rows of 16 students, 5 students are left out. All students were arranged in rows of 20 students 13 are left out. What is the minimum number of students in the school? pipeline-1139537
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up_police | — | 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-1109165
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up_police | — | intermediate | |
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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. pipeline-1114873
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up_police | — | intermediate |