Cluster · Number System Divisibility and Perfect Squares
| Question | Category | Subtype | Difficulty | |
|---|---|---|---|---|
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What is the number of factors of 1008 which are divisible by 3 but not by 9? pipeline-612818
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rpf | — | intermediate | |
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What is the product of factors of 175? pipeline-563702
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rpf | — | intermediate | |
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Find the minimum number that should be subtracted from the smallest 5-digit number such that the resultant is divisible by 76. pipeline-591068
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rpf | — | intermediate | |
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What is the number of odd factors of 40280? pipeline-578119
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rpf | — | intermediate | |
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What is the number of even factors of 3168? pipeline-591061
|
rpf | — | intermediate | |
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Find the largest 5 digit number which is exactly divisible by 12,15,18, 27. pipeline-612799
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rpf | — | intermediate | |
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If a 5-digit number 512xy is divisible by 3, 7, and 11. Find the value of (√x2 + 10y + xy). pipeline-500726
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rpf | — | intermediate | |
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If a six digit number '3x2y5z' is divisible by 7, 11 and 13 then find the sum of the HCF and LCM of (x + y + z) and (x + y - z). pipeline-539665
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rpf | — | intermediate | |
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Find the number of prime factor of: 28 × 36 × 54 × 105 pipeline-503964
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rpf | — | intermediate | |
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471 + 472 + 473 + 474 divisible by? pipeline-539669
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rpf | — | intermediate | |
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If a number is multiplied by six and 15 is added to it, the obtained number is completely divisible by 7. When the obtained number is divided by 7 the quotient obtained will be equal to the assumed number. Find the number. pipeline-503949
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rpf | — | intermediate | |
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For what maximum value of x, the number '270375x6' will be divisible by 3? pipeline-496593
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rpf | — | intermediate | |
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Find the number of factors of 2125. pipeline-496595
|
rpf | — | intermediate | |
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Which one is completely divisible by 11 as follow: 2881605, 38111071, 138455 and 49937206 pipeline-496594
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rpf | — | intermediate | |
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Find the smallest prime number that should be multiplied by 27 to make it a perfect square. pipeline-503957
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rpf | — | intermediate | |
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When 284xy25 is divided by 11 then the remainder is 0. What is the value of x - y? pipeline-539667
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rpf | — | intermediate | |
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What is the number of even factors of 1250? pipeline-489547
|
rpf | — | intermediate | |
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What is the sum of all prime factors of 5544? pipeline-490364
|
rpf | — | intermediate | |
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Find the value of X in 75X2 if it is divisible by 7. pipeline-492472
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rpf | — | intermediate | |
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What is the value of A and B respectively if the number 63904A458B is divisible by 8 and 11 both? pipeline-484318
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rpf | — | intermediate | |
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A four-digit number in the form of abab is completely divisible by 2 and 7. Find is the value of (a × b), if the number lies between 4000 and 5000. pipeline-490369
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rpf | — | intermediate | |
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Find the number of factors of 28 × 75 × 14. pipeline-492467
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rpf | — | intermediate | |
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If the three-digit number Y54 is divisible by 9, find the value of Y2 + Y. pipeline-489568
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rpf | — | intermediate | |
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If a number is given in the form of 85 × 93 × 53. What is the number of prime factors? pipeline-484342
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rpf | — | intermediate | |
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16y96x6 is divisible by 36. Find the value of (x + y)/(x)2, where x is neither prime nor a composite number. pipeline-726041
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rpf | — | intermediate | |
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If the 8-digit number 789x531y is divisible by 72, then the value of (5x – 3y) is: pipeline-703648
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rpf | — | intermediate | |
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How many factors of 63 × 154 × 182 have a number of factors of the format 2n + 1 where 'n' is any whole number? pipeline-1036046
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rpf | — | intermediate | |
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Which of the following numbers is divisible by 7? 907, 878, 795, 861 pipeline-481603
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rpf | — | intermediate | |
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If a 10-digit number 2094x843y2 is divisible by 88, then the value of (5x - 7y) for the largest possible value of x, is: pipeline-481604
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rpf | — | intermediate | |
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What should be added to a number 700 to make it divisible by 79? pipeline-703649
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rpf | — | intermediate | |
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If 35269N is divisible by 11, then find the possible value of N. pipeline-693698
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rpf | — | intermediate | |
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Which of the following numbers are divisible by 2, 3, or 5? pipeline-645983
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rpf | — | intermediate | |
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If a 10-digit number 24y68x996z is divisible by 72 then, find the value of (2z - xy). (where the value of x, y < 5 and x, y, z ≠ 0) pipeline-646001
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rpf | — | intermediate | |
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Find the minimum number that should be subtracted from the smallest 5-digit number such that the resultant is divisible by 76. pipeline-654678
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rpf | — | intermediate | |
|
Which of the numbers given below is NOT divisible by 4? pipeline-614777
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rpf | — | intermediate | |
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If 35269N is divisible by 11, then find the possible value of N. pipeline-614756
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rpf | — | intermediate | |
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What is the number of even factors of 3168? pipeline-654679
|
rpf | — | intermediate | |
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The total number of odd factors of 25 × 33 × 52 is: pipeline-645974
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rpf | — | intermediate | |
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What should be added to a number 700 to make it divisible by 79? pipeline-614765
|
rpf | — | intermediate | |
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What is the greatest 5 digit number divisible by 15, 25 and 40? pipeline-590942
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rpf | — | intermediate | |
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Which of the following is not a perfect square? pipeline-563831
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rpf | — | intermediate | |
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What is the number of factors of N which are perfect squares where N = 25 × 34 × 76? pipeline-589169
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rpf | — | intermediate | |
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If 4p75684q2 is divisible by 72 then, find the value of p + q. pipeline-589198
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rpf | — | intermediate | |
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1947 - 331 is divisible by? pipeline-563820
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rpf | — | intermediate | |
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A three-digit number N27 is divisible by 9. What will be a possible value of N, if N is a single digit? pipeline-589171
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rpf | — | intermediate | |
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Which of the following numbers is divisible by 2, 3, 4, 6, 8, and 9? pipeline-496720
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rpf | — | intermediate | |
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Find the least number that should be added to make 2543 divisible by 36. pipeline-503324
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rpf | — | intermediate | |
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How many factors of 1080 are perfect squares? pipeline-492579
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rpf | — | intermediate | |
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If the number a525b973 is divisible by 33, then which of the following could be (a × b)? pipeline-496694
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rpf | — | intermediate | |
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If a number 418X367 is completely divisible by 9, then the smallest whole number in place of X is: pipeline-492595
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rpf | — | intermediate |