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

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

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Find the number of trailing zeros in 15245! .

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

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

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

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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?

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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

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An eight digit number of form 1x4x30y5 is divisible by 99. If both x and y are less than or equal to 5, then what is the value of x/y?

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How many numbers between 10 and 65 are divisible by 2, 3 and 4?

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Which of the following is not a perfect square?

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What is the smallest number that must be added to 19487161 so that it is divisible by 11?

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

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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:-

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

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Find the difference between total number of odd factors and the total number of even factors of number 120.

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If the number 2378x43y is completely divisible by 72, then find the value of (2x + 3y).

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Out of 339, 555, 729 and 224 which of the following number is not divisible by 3?

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Find the smallest three-digit number that is exactly divisible by 12, 45, and 24.

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

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What could be the value of x if 3738x2 is divisible by 3?

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If a nine-digit number 6978a138b is divisible by 72, then find the value of (7a – b).

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If a number 283821x87y is completely divisible by 33 then, find the value of (x - y).

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Find the smallest number by which 6300 must be multiplied to make it a perfect square.

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

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

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

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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.

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

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

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Find the greatest value of ‘k’ in a 6-digit number 6745k2 such that the number is divisible by 3.

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Which of the following is divisible by 24?

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

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

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If the nine - digit number 23541y49x is divisible by 72 then, (3x + 5y) : (5x + 3y) is equal to:

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

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

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Ram gives a six-digit number, 468312, to Shyam to check the divisibility. Shyam tells Ram that the number is divisible by 57. Shyam asks Ram, “If we rearrange the digits of this number in descending order, then by which number will it always be divisible?”

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If 5A72B is divisible by 11, then what is the value of B - A?

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The smallest prime number that is a divisor of 17408 is 2 (17408 = 17 × 210). What is the sum of the digits of the greatest prime number that is a divisor of 17391? 

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

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

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A number is cube of 53. When 7 times of 57 is subtracted from the number, then the resultant number which is formed will be divisible by:

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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

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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 = ______.

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Find the number of factors in 1610.

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If 8A5146B is divisible by 88, then what is the value of AB?

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

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Find the factors of the number:- 28 × 36 × 54

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

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

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