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

The least number which should be added to 3627 so that the sum is exactly divisible by 4, 5, 6 and 8 is:

pipeline-304090
quant intermediate

If a nine - digit number 485x3678y is divisible by 72, then for the smallest value of x, the value of (2y - 3x) is:

pipeline-304498
quant intermediate

A six-digit number 11p9q4 is divisible by 24. The greatest possible value for pq is:

pipeline-676720
quant intermediate

The number 2918245 is divisible by which of the following numbers?

pipeline-451412
quant intermediate

Find the smallest number divisible by the numbers 8, 16, 20 and 32.

pipeline-469293
quant intermediate

 If the four-digit number 463y is divisible by 7, then what is the value of y?

pipeline-462245
quant intermediate

What is the smallest perfect square which is divisible by both 12 and 5?

pipeline-624163
quant intermediate

Find the difference between the greatest and the smallest 4-digit numbers exactly divisible by 36 and 48.

pipeline-469167
quant intermediate

The number 1254216 is divisible by which of the following numbers?

pipeline-462703
quant intermediate

The number 5769116 is divisible by which of the following numbers?

pipeline-443655
quant intermediate

For what value of A, 2545A is divisible by 8?

pipeline-623491
quant intermediate

Which of the following numbers is divisible by 11?

pipeline-462254
quant intermediate

Which of the following numbers is NOT divisible by 16?

pipeline-487746
quant intermediate

Find the sum of the digits of the greatest number that can exactly divide 288 and 432.

pipeline-516572
quant intermediate

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

pipeline-530790
quant intermediate

 Find the sum of the digits of the smallest 6-digit number divisible by 18, 24, and 25.

pipeline-498791
quant intermediate

Which number is one less than the sum of all the prime factors of 2310?

pipeline-492297
quant intermediate

Which of the following is divisible by 24?

pipeline-490682
quant intermediate

From the following numbers, find the number which exactly divisible by 42.

pipeline-342522
quant intermediate

If 1234567y is divisible by 11, then what is the value of y?

pipeline-669012
quant intermediate

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

pipeline-345010
quant intermediate

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

pipeline-624505
quant intermediate

Which of the following numbers is NOT divisible by 36?

pipeline-422525
quant intermediate

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

pipeline-512215
quant intermediate

If a number 'a' is divisible by 6 and 21, then find the number by which 5a is divisible.

pipeline-518913
quant intermediate

Find the greatest number of three digits that is divisible by 3,12, 24, and 36.

pipeline-489389
quant intermediate

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

pipeline-516079
quant intermediate

Find the lowest positive value of (c – b) such that the 7-digit number 1738b9c is divisible by 12.

pipeline-670609
quant intermediate

If a seven-digit number 42971K2 is divisible by 44, then the value of K is:

pipeline-517974
quant intermediate

The largest six-digit number exactly divisible by 81 is:

pipeline-418352
quant intermediate

Find the smallest number that is exactly divisibly by 12, 15, 18, and 27.

pipeline-490066
quant intermediate

Find the sum of the digits of the smallest 6-digit number divisible by 18, 24, and 25.

pipeline-486414
quant intermediate

What is the least value of 'a' for which the number 638a435 is completely divisible by 3?

pipeline-491828
quant intermediate

What is the number which when increased by 20 is exactly divisible by 18, 56, and 42?

pipeline-486175
quant intermediate

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

pipeline-303939
quant 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-479627
quant intermediate

Find the absolute difference between the greatest 3-digit number and the smallest 4-digit number divisible by 12, 25, and 18.

pipeline-493770
quant intermediate

Z is the remainder when the smallest 4-digit number is exactly divisible by 24 and 36 is divided by 40. Find the square of Z.

pipeline-492966
quant intermediate

If a number 'a' is divisible by 18 and another number 'b' is divisible by 12, then find the number by which (a2 - b2) is divisible.

pipeline-512843
quant intermediate

What is the least number that would be subtracted from 63789474 so that the remaining number is divisible by 9?

pipeline-530592
quant intermediate

What will be the least value of x so that the 5-digit number 627x5 becomes divisible by 9?

pipeline-668437
quant intermediate

How many numbers up to 880 are divisible by both, 3 and 5?

pipeline-536726
quant intermediate

Find the number of factors in 1540.

pipeline-532828
quant intermediate

Find the number of trailing zeros in 15245! .

pipeline-532802
quant intermediate

How many times does the digit 3 appear when you count between 100 to 1000?

pipeline-570312
quant intermediate

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

pipeline-30012
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 zeros in 15495! .

pipeline-570256
quant intermediate

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

pipeline-16290
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
Page 1 of 13