Cluster · Number System Divisibility and Perfect Squares
| Question | Category | Subtype | Difficulty | |
|---|---|---|---|---|
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The least number that should be added to 1845 to make it divisible by 3, 4, 5, and 6 is: pipeline-1273633
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mp_police | — | intermediate | |
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If a nine-digit number 7698x138y is divisible by 72, then the value of \(\sqrt{4x+y}\) is: pipeline-1288150
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mp_police | — | intermediate | |
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If the 5-digit number 457xy is divisible by 3, 7, and 11, then what is the value of (2x + 5y)? pipeline-1269988
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mp_police | — | intermediate | |
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Find the square of the sum of the digits of the smallest number divisible by 18 and 24. pipeline-1335800
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bihar_police | — | intermediate | |
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What is the sum of all three-digit numbers that is divisible by 15? pipeline-1318172
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bihar_police | — | intermediate | |
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If the number 5X8146Y is divisible by 88, then what is the value of X? pipeline-1302606
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bihar_police | — | 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) pipeline-422799
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bihar_police | — | intermediate | |
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If a 5-digit number 1x53y is divisible by 72. Find the value of (5x + y - xy). pipeline-412534
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bihar_police | — | intermediate | |
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If the nine-digit number 48x4923y8 is divisible by 88, then the value of (6x + 5y) for the maximum value of y, will be: pipeline-1351823
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rajasthan | — | intermediate | |
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A five-digit number 32054 is divisible by 11. If the digits are rearranged in increasing order, then the new number which is formed will be divisible by: pipeline-1351826
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rajasthan | — | intermediate | |
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Find the least number that must be subtracted from 226644 to make the obtained number divisible by 16.
pipeline-1353624
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rajasthan | — | intermediate | |
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There exists a natural number N which is 50 times its own logarithm to the base 10, then the sum of the digits in N is pipeline-1351827
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rajasthan | — | 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-1197958
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up_police | — | intermediate | |
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The product of four consecutive numbers is always divisible by which of the following numbers? pipeline-1171794
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up_police | — | intermediate | |
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What is the product of the largest and the smallest possible values of m for which a number 5m83m4m1 is divisible by 9? pipeline-1171927
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up_police | — | 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-1197967
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up_police | — | intermediate | |
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The greatest four-digit number which is divisible by 15, 20, 25, and 45 is: pipeline-1157711
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up_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-1171492
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up_police | — | intermediate | |
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Replace * by the smallest digit so that 723*56* is divisible by 6. pipeline-1171647
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up_police | — | intermediate | |
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The smallest four-digit number which is divisible by 15, 25, 40 and 75 is: pipeline-1155780
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up_police | — | intermediate | |
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What will be the least number which when doubled will be exactly divisible by 12, 14, 16 and 18? pipeline-1154699
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up_police | — | intermediate | |
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Find the least value of x for which 57x716 is divisible by 9. pipeline-1142017
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up_police | — | intermediate | |
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What is the value of x in the number 3426x if the number is divisible by 6 but NOT divisible by 5? pipeline-1145269
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up_police | — | intermediate | |
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A number is divisible by 11 if and only if the difference of the sum of the digits in the even and odd positions in the number is: pipeline-1139687
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up_police | — | intermediate | |
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The six digit number 537xy5 is divisible by 125. How many such six digit numbers are there? pipeline-1115979
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up_police | — | intermediate | |
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350 + 926 + 2718 + 928 + 929 is divisible by which of the following integers? pipeline-1112418
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up_police | — | 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-1170850
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up_police | — | intermediate | |
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Which of the following numbers is divisible by 36? pipeline-1170520
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up_police | — | 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-1170347
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up_police | — | intermediate | |
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There are how many integers between 3240 and 5960 that are divisible by both 24 and 32? pipeline-1170189
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up_police | — | intermediate | |
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If 436P5 is divisible by 3, then the largest value of P is: pipeline-1170041
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up_police | — | intermediate | |
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Find the least number that must be subtracted from 226644 to make the obtained number divisible by 16. pipeline-1158155
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up_police | — | intermediate | |
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Which of the following sets is such that all its elements are divisors of the number 2520? pipeline-1139794
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up_police | — | intermediate | |
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Which of the following three numbers is/are divisible by 11? A. 84478 B. 80160 C. 82984 pipeline-1146039
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up_police | — | intermediate | |
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The five-digit number 45yz0 is divisible by 40. What is the maximum possible value of (y + z)? pipeline-1131709
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up_police | — | intermediate | |
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715+716+ 717 is divisible by which of the following given numbers? pipeline-1131726
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up_police | — | intermediate | |
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Which of the following options is divisible by 11? pipeline-1116092
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up_police | — | intermediate | |
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What is the least number that would be added to 78489656 so that the resultant number is divisible by 9? pipeline-1112215
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up_police | — | intermediate | |
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Which is the smallest natural number that is exactly divisible by each of 96, 108, and 144? pipeline-1114974
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up_police | — | intermediate | |
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The least number that should be added to 1845 to make it divisible by 3, 4, 5, and 6 is: pipeline-1115454
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up_police | — | intermediate | |
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If the number a525b973 is divisible by 33, then which of the following could be (a × b)? pipeline-1115449
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up_police | — | intermediate | |
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It is given that 236 + 1 is exactly divisible by a certain number. Which one of the following is definitely also divisible by the same number? pipeline-726762
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rpf | — | intermediate | |
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A company is printing a limited number of 5-digit numbers. The company wants to know the smallest and largest 5-digit numbers that are divisible by 15, 10, and 8. Find the numbers. pipeline-1036281
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rpf | — | intermediate | |
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If ''x'' is in a digit such that 46942x is divisible by 11, then ''x'' is equals to: pipeline-714000
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rpf | — | intermediate | |
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If a 10-digit number 46789x531y is divisible by 72, then the value of (2x + 5y), for the largest value of x is: pipeline-1036292
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rpf | — | intermediate | |
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If the 6-digit number 479xy9 is divisible by each of 7, 11, 13 then (x - y) is equal to- pipeline-703524
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rpf | — | 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-633021
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rpf | — | intermediate | |
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If ''x'' is in a digit such that 46942x is divisible by 11, then ''x'' is equals to: pipeline-612936
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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-654560
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rpf | — | intermediate | |
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What is the digit at the tenth place of the number which is the sum of the first 100 whole numbers? pipeline-563725
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rpf | — | intermediate |