Cluster · Number System Divisibility and Perfect Squares

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Clusters / #1206
tight score 0.09

Divisibility Rules and Missing Digits
Questions
604
Questions in this cluster
604 total
Question Category Subtype Difficulty

The least number that should be added to 1845 to make it divisible by 3, 4, 5, and 6 is:

pipeline-1273633
mp_police intermediate

If a nine-digit number 7698x138y is divisible by 72, then the value of \(\sqrt{4x+y}\) is:

pipeline-1288150
mp_police intermediate

If the 5-digit number 457xy is divisible by 3, 7, and 11, then what is the value of (2x + 5y)?

pipeline-1269988
mp_police intermediate

Find the square of the sum of the digits of the smallest number divisible by 18 and 24.

pipeline-1335800
bihar_police intermediate

What is the sum of all three-digit numbers that is divisible by 15?

pipeline-1318172
bihar_police intermediate

If the number 5X8146Y is divisible by 88, then what is the value of X?

pipeline-1302606
bihar_police intermediate

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
bihar_police intermediate

If a 5-digit number 1x53y is divisible by 72. Find the value of (5x + y - xy).

pipeline-412534
bihar_police intermediate

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
rajasthan intermediate

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
rajasthan intermediate

Find the least number that must be subtracted from 226644 to make the obtained number divisible by 16.

 

pipeline-1353624
rajasthan intermediate

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
rajasthan intermediate

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
up_police intermediate

The product of four consecutive numbers is always divisible by which of the following numbers?

pipeline-1171794
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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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If a number 418X367 is completely divisible by 9, then the smallest whole number in place of X is:

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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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Find the greatest value of ‘k’ in a 6-digit number 6745k2 such that the number is divisible by 3.

pipeline-1171492
up_police intermediate

Replace * by the smallest digit so that 723*56* is divisible by 6.

pipeline-1171647
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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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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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 Find the least value of x for which 57x716 is divisible by 9.

pipeline-1142017
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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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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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The six digit number 537xy5 is divisible by 125. How many such six digit numbers are there?

pipeline-1115979
up_police intermediate

350 + 926 + 2718 + 928 + 929 is divisible by which of the following integers?

pipeline-1112418
up_police intermediate

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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Which of the following numbers is divisible by 36?

pipeline-1170520
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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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There are how many integers between 3240 and 5960 that are divisible by both 24 and 32?

pipeline-1170189
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If 436P5 is divisible by 3, then the largest value of P is:

pipeline-1170041
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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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Which of the following sets is such that all its elements are divisors of the number 2520?

pipeline-1139794
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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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The five-digit number 45yz0 is divisible by 40. What is the maximum possible value of (y + z)?

pipeline-1131709
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715+716+ 717 is divisible by which of the following given numbers?

pipeline-1131726
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Which of the following options is divisible by 11?

pipeline-1116092
up_police intermediate

What is the least number that would be added to 78489656 so that the resultant number is divisible by 9?

pipeline-1112215
up_police intermediate

Which is the smallest natural number that is exactly divisible by each of 96, 108, and 144?

pipeline-1114974
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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
up_police intermediate

If the number a525b973 is divisible by 33, then which of the following could be (a × b)?

pipeline-1115449
up_police intermediate

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
rpf intermediate

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
rpf intermediate

If ''x'' is in a digit such that 46942x is divisible by 11, then ''x'' is equals to:

pipeline-714000
rpf intermediate

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
rpf intermediate

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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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:-

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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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When 284xy25 is divided by 11 then the remainder is 0. What is the value of x - y?

pipeline-654560
rpf intermediate

What is the digit at the tenth place of the number which is the sum of the first 100 whole numbers?

pipeline-563725
rpf intermediate
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