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 value of k in the number 3426k if the number is divisible by 6 but NOT divisible by 5.

pipeline-1085507
delhi_police intermediate

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

pipeline-1083747
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625 + 626 + 627 + 628 is divisible by:

pipeline-1085517
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If P is a digit such that 6954P is divisible by 11, then P equals:

pipeline-1257181
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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-1251358
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If 3c2933k is divisible by both 5 and 11, where c and k are single digit natural numbers, then c + k = ______.

pipeline-1257081
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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-1251259
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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-1230683
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If an eleven-digit number 6578x43267y is divisible by 72, then the value will be:\((\sqrt{x + 6y})\)

pipeline-1224532
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If m is even, then (8m – 1) is divisible by:

pipeline-1203332
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What is the largest five-digit number exactly divisible by 88?

pipeline-1199486
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What is the smallest number that is a multiple of 13, 15, 4, 21 and 2?

pipeline-1194850
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What is the least value of x + y, if the 10-digit number 780x533y24 is divisible by 88?

pipeline-1161185
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What is the least value of x for which the number 712x816 is divisible by 12?

pipeline-1201020
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Find the least number that must be subtracted from 226644 to make the obtained number divisible by 16.

pipeline-1155393
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What will be the greatest number 32a78b, which is divisible by 3 but NOT divisible by 9? (Where a and b are single-digit numbers)

pipeline-1157838
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If the number 6p5157q is divisible by 88, then p × q = ______, where p and q are single digit numbers.

pipeline-1111633
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If 11-digit number 88p554085k6, k ≠ p, is divisible by 72, then what is the value of (3k + 2p)?

pipeline-1106469
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What will be the least number which when doubled will be exactly divisible by 12, 14, 16 and 18?

pipeline-1133044
delhi_police intermediate

If the 5-digit number 750PQ is divisible by 3, 7, and 11, then what is the value of P + 2Q?

pipeline-1094553
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The least number which is exactly divisible by 5, 6, 8, 10 and 12 is :

pipeline-1089926
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The least perfect square which is divisible by each of 27, 54, and 72 is:

pipeline-1096645
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If 4p75684q2 is divisible by 72 then, find the value of p + q.

pipeline-1084044
delhi_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-1023253
railways 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-1022138
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How many two digit numbers are there which are divisible by 8?

pipeline-1023244
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If 32949X is divisible by 8 then find the value of X.

pipeline-1082764
delhi_police intermediate

Find the number of factors of given numbers 225 and 525.

pipeline-854225
railways intermediate

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

pipeline-854231
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Find the sum of digits in tens place in all the even numbers lesser than 100.

pipeline-988657
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Find the value of N in 563N1, if this number is divisible by 11. 

pipeline-988663
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Find the greatest 4-digit number which is exactly divisible by each one of the numbers as follows: 12, 18, 21, and 28.

pipeline-848876
railways intermediate

Find the least number which when added to 115 makes it divisible by 3, 5, 6 and 8.

pipeline-853711
railways intermediate

If 4y7858x4 is divisible by 24, find the smallest possible value of xy.

pipeline-841790
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Find the largest 4 digit number which can be completely divisible by 18, 24, and 30.

pipeline-828057
railways intermediate

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-827169
railways intermediate

Find the minimum number that should be subtracted from the smallest 5-digit number such that the resultant is divisible by 76.

pipeline-854010
railways intermediate

What is the greatest 5 digit number divisible by 15, 25 and 40?

pipeline-802354
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If 35269N is divisible by 11, then find the possible value of N.

pipeline-824967
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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-854034
railways intermediate

How many distinct numbers can be added to 563 to make sum divisible by 114. (Sum must be less than 1000)

pipeline-854024
railways intermediate

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-853913
railways intermediate

What is the number of even factors of 3168?

pipeline-824973
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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-853922
railways intermediate

Find the largest 5 digit number which is exactly divisible by 12,15,18, 27.

pipeline-802448
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The total number of odd factors of 25 × 33 × 52 is:

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If the 8-digit number 789x531y is divisible by 72, then the value of (5x – 3y) is:

pipeline-838086
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Find the smallest prime number that should be multiplied by 27 to make it a perfect square.

pipeline-848675
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If the 8-digit number 789x531y is divisible by 72, then the value of (5x – 3y) is:

pipeline-848687
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For what maximum value of x, the number '270375x6' will be divisible by 3?

pipeline-842588
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