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

What is the number of factors of 1008 which are divisible by 3 but not by 9?

pipeline-612818
rpf intermediate

What is the product of factors of 175?

pipeline-563702
rpf intermediate

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

pipeline-591068
rpf intermediate

What is the number of odd factors of 40280?

pipeline-578119
rpf intermediate

What is the number of even factors of 3168?

pipeline-591061
rpf intermediate

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

pipeline-612799
rpf intermediate

If a 5-digit number 512xy is divisible by 3, 7, and 11. Find the value of (√x2 + 10y + xy).

pipeline-500726
rpf intermediate

If a six digit number '3x2y5z' is divisible by 7, 11 and 13 then find the sum of the HCF and LCM of (x + y + z) and (x + y - z).

pipeline-539665
rpf intermediate

Find the number of prime factor of:

28 × 36 × 54 × 105

pipeline-503964
rpf intermediate

471 + 472 + 473 + 474 divisible by?

pipeline-539669
rpf 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-503949
rpf intermediate

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

pipeline-496593
rpf intermediate

Find the number of factors of 2125.

pipeline-496595
rpf intermediate

Which one is completely divisible by 11 as follow:

2881605, 38111071, 138455 and 49937206

pipeline-496594
rpf intermediate

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

pipeline-503957
rpf intermediate

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

pipeline-539667
rpf intermediate

What is the number of even factors of 1250?

pipeline-489547
rpf intermediate

What is the sum of all prime factors of 5544?

pipeline-490364
rpf intermediate

Find the value of X in 75X2 if it is divisible by 7.

pipeline-492472
rpf intermediate

What is the value of A and B respectively if the number 63904A458B is divisible by 8 and 11 both?

pipeline-484318
rpf 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-490369
rpf intermediate

Find the number of factors of 28 × 75 × 14.

pipeline-492467
rpf intermediate

If the three-digit number Y54 is divisible by 9, find the value of Y2 + Y.

pipeline-489568
rpf intermediate

If a number is given in the form of 85 × 93 × 53. What is the number of prime factors?

pipeline-484342
rpf intermediate

16y96x6 is divisible by 36. Find the value of (x + y)/(x)2, where x is neither prime nor a composite number.

pipeline-726041
rpf intermediate

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

pipeline-703648
rpf intermediate

How many factors of 63 × 154 × 182 have a number of factors of the format 2n + 1 where 'n' is any whole number?

pipeline-1036046
rpf intermediate

Which of the following numbers is divisible by 7?

907, 878, 795, 861

pipeline-481603
rpf intermediate

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-481604
rpf intermediate

What should be added to a number 700 to make it divisible by 79?

pipeline-703649
rpf intermediate

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

pipeline-693698
rpf intermediate

Which of the following numbers are divisible by 2, 3, or 5?

pipeline-645983
rpf 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 and x, y, z ≠ 0)

pipeline-646001
rpf intermediate

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

pipeline-654678
rpf intermediate

Which of the numbers given below is NOT divisible by 4?

pipeline-614777
rpf intermediate

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

pipeline-614756
rpf intermediate

What is the number of even factors of 3168?

pipeline-654679
rpf intermediate

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

pipeline-645974
rpf intermediate

What should be added to a number 700 to make it divisible by 79?

pipeline-614765
rpf intermediate

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

pipeline-590942
rpf intermediate

Which of the following is not a perfect square?

pipeline-563831
rpf intermediate

What is the number of factors of N which are perfect squares where N = 25 × 34 × 76?

pipeline-589169
rpf intermediate

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

pipeline-589198
rpf intermediate

1947 - 331 is divisible by?

pipeline-563820
rpf intermediate

A three-digit number N27 is divisible by 9. What will be a possible value of N, if N is a single digit?

pipeline-589171
rpf intermediate

Which of the following numbers is divisible by 2, 3, 4, 6, 8, and 9?

pipeline-496720
rpf intermediate

Find the least number that should be added to make 2543 divisible by 36.

pipeline-503324
rpf intermediate

How many factors of 1080 are perfect squares? 

pipeline-492579
rpf intermediate

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

pipeline-496694
rpf intermediate

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

pipeline-492595
rpf intermediate
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