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

pipeline-1200460
ssc intermediate

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

pipeline-1193546
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Find the smallest number to be added to 1000 so that 55 divides the sum exactly.

pipeline-1168861
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From the given numbers A, B, C and D, which number is NOT divisible by 11?

A = 712712
B = 177210
C = 64614
D = 756148

pipeline-1243415
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Find the smallest four-digit number which is divisible by 4, 8, 12, and 16.

pipeline-1111475
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If the 7 digit number 504x5y3 is divisible by 11, then one of the values of the sum of x and y is

pipeline-1133172
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If 436P5 is divisible by 3, then the largest value of P is:

pipeline-1103455
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What is the least positive value of A in the number 34278A2597, which is divisible by 9? 

pipeline-1114597
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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-1090310
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What number from the following should be deducted from 1184 to make it exactly divisible by 21?

pipeline-1097105
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471 + 472 + 473 + 474 divisible by?

pipeline-1040371
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If the number 5X8146Y is divisible by 88, then what is the value of X?

pipeline-1055730
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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-1040372
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If 35269N is divisible by 11, then find the possible value of N.

pipeline-1040459
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Find the lowest positive value of (c – b) such that the 7-digit number 1738b9c is divisible by 12.

pipeline-1067078
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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-1036733
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Which of the following numbers are divisible by 2, 3, or 5?

pipeline-718518
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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-1036402
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If the 6-digit number 479xy9 is divisible by each of 7, 11, 13 then (x - y) is equal to-

pipeline-1022228
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In (72k + 92k) where k is an odd number. Which of the following is the factor of the above equation?

pipeline-1036743
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A four digit of form 4ppq is divisible by 4. What is the maximum value of p + q?

pipeline-1168721
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715+716+ 717 is divisible by which of the following given numbers?

pipeline-1154275
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The product of four consecutive numbers is always divisible by which of the following numbers?

pipeline-1193430
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If 4y7858x4 is divisible by 24, find the smallest possible value of xy.

pipeline-1168730
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The five-digit number 45yz0 is divisible by 40. What is the maximum possible value of (y + z)?

pipeline-1144830
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Replace * by the smallest digit so that 723*56* is divisible by 6.

pipeline-1130506
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If a nine - digit number 489x6378y is divisible by 72, then the value of \({\sqrt{8x+6y}}\) will be:

pipeline-1130381
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What is the smallest perfect square which is divisible by both 12 and 5?

pipeline-1080488
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What will be the least number which when doubled will be exactly divisible by 12, 14, 16 and 18?

pipeline-1085152
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What is the least number that would be subtracted from 63789474 so that the remaining number is divisible by 9?

pipeline-1069811
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Find the lowest positive value of (c – b) such that the 7-digit number 1738b9c is divisible by 12.

pipeline-1068789
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If a seven-digit number 42971K2 is divisible by 44, then the value of K is:

pipeline-1080412
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What is the smallest number that is a multiple of 13, 15, 4, 21 and 2?

pipeline-1080492
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What is the least value of x + y, if the 10-digit number 780x533y24 is divisible by 88?

pipeline-1042464
ssc intermediate

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

pipeline-1026539
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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-1026682
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The five-digit number 725yz is divisible by 15. What is the maximum possible value of the product of y and z?

pipeline-1175936
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If 4y7858x4 is divisible by 24, find the smallest possible value of xy.

pipeline-7080
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Find the number of 2-digit numbers divisible by both 2 and 4.

pipeline-1021481
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How many numbers up to 980 are divisible by both 3 and 7?

pipeline-1168505
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Find the least number that is exactly divisible by 20, 28, 34, 60, and 75.

pipeline-1088135
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If an eleven-digit number 6578x43267y is divisible by 72, then the value will be:\((\sqrt{x + 6y})\)

pipeline-1092407
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471 + 472 + 473 + 474 divisible by?

pipeline-1056015
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16y96x6 is divisible by 36. Find the value of (x + y)/(x)2, where x is neither prime nor a composite number.

pipeline-1056008
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If a nine-digit number 7698x138y is divisible by 72, then the value of \(\sqrt{4x+y}\) is:

pipeline-1368971
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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-842427
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If the five-digit number 672xy is divisible by 3, 7 and 11, then what is the value of (6x + 5y)?

pipeline-1153826
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If 1234567y is divisible by 11, then what is the value of y?

pipeline-1168597
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Which of the following is the largest 5-digit number divisible by 47?

pipeline-1130503
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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-1103041
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