Cluster · Number System Divisibility and Perfect Squares

d
Clusters / #1206
tight score 0.09

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

Find the number of trailing zeros in 15870! .

pipeline-537112
quant intermediate

Find the smallest four-digit number which is divisible by 4, 8, 12, and 16.

pipeline-422354
quant intermediate

Find the number of trailing zero's in 475! .

pipeline-567289
quant intermediate

Find the least number to be added to 1739 so that it is exactly divisible by 11.

pipeline-16290
quant intermediate

Find the number of factors in 1750.

pipeline-537110
quant intermediate

What smallest number should be added to the sum of squares of 15 and 14, so that the resulting number is a perfect square?

pipeline-14633
quant intermediate

What is the minimum value of 'Y' for which 267Y2 is divisible by 3?

pipeline-30012
quant intermediate
What is the smallest perfect square number which is completely divisible by 4, 6, 9, 12 and 15?
pipeline-574722
quant intermediate

The largest number of four digits that is exactly divisible by 17 and 36 is:

pipeline-568022
quant intermediate

What is the largest two-digit number that is divisible by both 7 and 3?

pipeline-357104
quant intermediate

What is the greatest number of 4-digits which is divisible by 45, 25 and 5?

pipeline-366541
quant intermediate

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

pipeline-574720
quant intermediate

What will be the least number which when doubled will be exactly divisible by 12, 14, 16 and 18?

pipeline-577461
quant intermediate

What is the largest five-digit number exactly divisible by 88?

pipeline-602330
quant intermediate

Which of the following is the greatest four-digit number that is divisible by 15, 25, 40, and 75?

pipeline-578343
quant intermediate

What is the least value of x + y, if the 10-digit number 780x533y24 is divisible by 88?

pipeline-580089
quant intermediate

Which of the following number is NOT divisible by 11?

pipeline-571055
quant intermediate

Which of the following is the nearest number to 13051 and is divisible by 9?

pipeline-574548
quant intermediate

Find the smallest number that can be subtracted from 148109326 so that it becomes divisible by 8.

pipeline-534763
quant intermediate

The least number that should be added to 1351 so that the sum is exactly divisible by 2, 4, 6, and 8 is:

pipeline-581501
quant intermediate

625 + 626 + 627 + 628 is divisible by:

pipeline-534319
quant intermediate

What is the least value of x for which the number 712x816 is divisible by 12?

pipeline-615557
quant intermediate

A number is divisible by 3 only when:

pipeline-465953
quant intermediate

Find the least number that is exactly divisible by 20, 28, 34, 60, and 75.

pipeline-577388
quant intermediate

The least number of five digits which is exactly divisible by 9, 12, 15, 25 and 27 is:

pipeline-578357
quant intermediate

Which of the following numbers is not divisible by 6.

pipeline-568590
quant intermediate

How many of the following numbers are divisible by 132?

660, 754, 924, 1452, 1526, 1980, 2045 and 2170

pipeline-541594
quant intermediate

A six-digit number is divisible by 33. If 54 is added to the number, then the new number formed will also be divisible by:

pipeline-544580
quant intermediate

Which of the following numbers will completely divide 412 + 413 + 414 + 415?

pipeline-539804
quant intermediate

The smallest number added to 888 so that it is exactly divisible by 35 is:

pipeline-540713
quant intermediate

Which of the following numbers is divisible by 36?

pipeline-541022
quant intermediate

Which number among 24963, 24973, 24983 and 24993 is divisible by 7?

pipeline-541018
quant intermediate

An 11-digit number 7823326867X is divisible by 18. What is the value of X?

pipeline-558695
quant intermediate

Which of the numbers 9592450, 9592330, 9592885 and 9592741 is divisible by 11?

pipeline-562355
quant intermediate

Which of the following numbers is divisible by 11?

pipeline-546006
quant intermediate

Which number among 98984, 98992, 98998, and 99008 is NOT divisible by 8?

pipeline-550010
quant intermediate

Which number among 34936, 35508, 35580, and 36508 is divisible by 33?

pipeline-558821
quant intermediate

What is the sum of the divisors of 484 that are perfect squares?

pipeline-546010
quant intermediate

Which of the following numbers is divisible by 36?

pipeline-558712
quant intermediate

Which of the following numbers is divisible by 9?

pipeline-544873
quant intermediate

Which number among 34623, 34716, 34782 and 34783 is NOT divisible by 3?

pipeline-555418
quant intermediate

Which of the following numbers is divisible by 24?

pipeline-539813
quant intermediate

If x is a 3-digit number and y is a obtained by permuting the digits of x manner, then (x - y) is always divisible by:

pipeline-443289
english intermediate

The sum of the digits of a three digit number is subtracted from that number, then it will always be divisible by

 

pipeline-59546
english intermediate

If an eleven-digit number 5y5888406x6 is divisible by 72, then what is the value of (9x – 2y), for the least value of x?

pipeline-6844
reasoning intermediate

If 925x487y is divisible by 88, find x + y.

pipeline-113
reasoning intermediate

If 16A3 is completely divisible by 7, what is the value of A?

pipeline-509868
reasoning intermediate

A four digit of form 4ppq is divisible by 4. What is the maximum value of p + q?

pipeline-2635
reasoning intermediate

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
reasoning intermediate

What is the number of even factors of 3168?

pipeline-3697
reasoning intermediate
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