Cluster · Number System Divisibility and Perfect Squares
| Question | Category | Subtype | Difficulty | |
|---|---|---|---|---|
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If a nine-digit number 985x3678y is divisible by 72, then the value of (4x – 3y) is: pipeline-1992
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reasoning | — | intermediate | |
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Find the value of X in 75X2 if it is divisible by 7. pipeline-42625
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reasoning | — | intermediate | |
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If a 8-digit number 30x558y2 is divisible by 88, then the value of (6x + 6y) is: pipeline-6997
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reasoning | — | intermediate | |
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If the 8-digit number 789x531y is divisible by 72, then the value of (5x – 3y) is: pipeline-6338
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reasoning | — | intermediate | |
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If the six digit number 4x573y is divisible by 72 then the value of (x + y) is: pipeline-6475
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reasoning | — | intermediate | |
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The ten digit number 2x600000y8 is exactly divisible by 24. If x ≠ 0 and y ≠ 0, then the least value of (x + y) is equal to: pipeline-7780
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reasoning | — | intermediate | |
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What is the number of even factors of 3168? pipeline-3697
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reasoning | — | intermediate | |
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An eight digit number of form 1x4x30y5 is divisible by 99. If both x and y are less than or equal to 5, then what is the value of x/y? pipeline-1344
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reasoning | — | intermediate | |
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Mr. Swaminathan can make a 6 digit number by repeating a three digit number (such as 312312, 423423, 123123), then he feels that the resultant number will always be divisible by:- pipeline-508972
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reasoning | — | intermediate | |
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A four digit of form 4ppq is divisible by 4. What is the maximum value of p + q? pipeline-2635
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reasoning | — | 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-15939
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reasoning | — | intermediate | |
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If the nine-digit number 8175x45y2 is divisible by 72, then find the largest value of y: pipeline-7901
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reasoning | — | 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-3935
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reasoning | — | intermediate | |
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If 925x487y is divisible by 88, find x + y. pipeline-113
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reasoning | — | intermediate | |
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The total number of odd factors of 25 × 33 × 52 is: pipeline-512071
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reasoning | — | intermediate | |
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If 4p75684q2 is divisible by 72 then, find the value of p + q. pipeline-1038
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reasoning | — | intermediate | |
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If a 10-digit number 6220x558y2 is divisible by 88, then the value of (5x + 5y) is: pipeline-5832
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reasoning | — | intermediate | |
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A number 14 when added to twice its seventh multiple and the resultant when divided by the smallest prime number give the outcome as- pipeline-507679
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reasoning | — | intermediate | |
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Which of the following numbers are divisible by 2, 3, or 5? pipeline-510762
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reasoning | — | intermediate | |
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What is the value of x so that the seven digit number 55350x2 is divisible by 72? pipeline-5394
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reasoning | — | intermediate | |
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Find the lowest positive value of (c – b) such that the 7-digit number 1738b9c is divisible by 12. pipeline-1306231
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mp_police | — | intermediate | |
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Find the greatest 3-digit number divisible by 3, formed using the digits 0, 1, 2, 3, 5 without any repetition. pipeline-1305940
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mp_police | — | intermediate | |
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Which number among 24963, 24973, 24983 and 24993 is divisible by 7? pipeline-1306033
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mp_police | — | intermediate | |
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If 1234567y is divisible by 11, then what is the value of y? pipeline-1306248
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mp_police | — | intermediate | |
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The product of four consecutive numbers is always divisible by which of the following numbers? pipeline-1306234
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mp_police | — | intermediate | |
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When choosing a 3-digit number at random, what is the probability of choosing a number which is divisible by both 5 and 9? pipeline-1305956
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mp_police | — | intermediate | |
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What is the smallest number that is a multiple of 13, 15, 4, 21 and 2? pipeline-1306130
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mp_police | — | intermediate | |
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If the 11-digit number 89x6402087y is divisible by 72, then what is the value of (2x - y)? pipeline-1305932
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mp_police | — | intermediate | |
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What will be the least value of x so that the 5-digit number 627x5 becomes divisible by 9? pipeline-1306257
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mp_police | — | intermediate | |
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If a 9-digit number 609a5b9c9 is divided by 99, then (a + b + c) is equal to: pipeline-1305643
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mp_police | — | intermediate | |
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If 8A5146B is divisible by 88, then what is the value of AB? pipeline-1305848
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mp_police | — | intermediate | |
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The product of four consecutive numbers is always divisible by which of the following numbers? pipeline-1305745
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mp_police | — | intermediate | |
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What is the least value of x for which the number 712x816 is divisible by 12? pipeline-1305854
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mp_police | — | intermediate | |
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Find the lowest positive value of (c – b) such that the 7-digit number 1738b9c is divisible by 12. pipeline-1305747
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mp_police | — | intermediate | |
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What is the smallest perfect square number which is completely divisible by 4, 6, 9, 12 and 15?
pipeline-1305735
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mp_police | — | intermediate | |
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If the seven - digit number 49x29y6 is divisible by 72, then what will be the value of (x + 2y) for the largest value of x and y? pipeline-1302124
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mp_police | — | intermediate | |
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What is the smallest number that is a multiple of 13, 15, 4, 21 and 2? pipeline-1305748
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mp_police | — | intermediate | |
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How many factors of the number 28 × 36 × 54 ×105 are multiples of 120? pipeline-1299281
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mp_police | — | intermediate | |
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(2310 - 1024) is not divisible by? pipeline-1299298
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mp_police | — | intermediate | |
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Which of the following is the largest 5-digit number divisible by 47? pipeline-1292904
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mp_police | — | intermediate | |
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Find the smallest number by which 6300 must be multiplied to make it a perfect square. pipeline-1293002
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mp_police | — | intermediate | |
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What is the smallest number that must be added to 19487161 so that it is divisible by 11? pipeline-1297059
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mp_police | — | intermediate | |
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Find the greatest value of ‘k’ in a 6-digit number 6745k2 such that the number is divisible by 3. pipeline-1291602
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mp_police | — | intermediate | |
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Which of the following numbers is divisible by 6? pipeline-1292906
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mp_police | — | intermediate | |
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If 1234567y is divisible by 11, then what is the value of y? pipeline-1292989
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mp_police | — | intermediate | |
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A six-digit number 4ABB8A is a multiple of 33 for non-zero digits A and B. Which of the following could be the possible values of A and B? pipeline-1286136
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mp_police | — | intermediate | |
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471 + 472 + 473 + 474 divisible by? pipeline-1286144
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mp_police | — | intermediate | |
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Which among the following numbers is exactly divisible by 11, 13, and 7? pipeline-1288154
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mp_police | — | intermediate | |
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Find the least value of k for which a 7-digit number 249k876 is divisible by 6. pipeline-1273610
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mp_police | — | intermediate | |
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If the 7-digit number 612x97y is divisible by 72, and the 6-digit number 34z178 is divisible by 11, then the value of (x - 2y + 3z) is: pipeline-1272113
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mp_police | — | intermediate |