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 number of factors of 28 × 75 × 14.

pipeline-842589
railways intermediate

Find the number of trailing zeros in 15870! .

pipeline-853605
railways intermediate

Which of the following three numbers is/are divisible by 11?

A. 84478

B. 80160

C. 82984

pipeline-848663
railways intermediate

Which natural number is nearest to 8769, which is completely divisible by 70?

pipeline-844556
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-853616
railways intermediate

If 16A3 is completely divisible by 7, what is the value of A?

 

pipeline-823006
railways intermediate

If the seven-digit number 4853x44 is divisible by 8, then find the smallest value of 2x.

pipeline-848063
railways intermediate

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-802846
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Find the factors of the number:- 28 × 36 × 54

pipeline-824381
railways intermediate

If a number is in the form of 815 × 97 × 25× 493, find the total number of factors of the given number.

pipeline-823000
railways intermediate

If a number 955x138y is completely divisible by 88 then what is the maximum value of x + y?

pipeline-822999
railways intermediate

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

pipeline-824377
railways intermediate

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

pipeline-827957
railways intermediate

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

pipeline-827968
railways intermediate

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

pipeline-838063
railways intermediate

If 8x8793y is divisible by 4 and 9 (Where y > 2). Find the value of x + y.

pipeline-848053
railways intermediate

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

pipeline-802843
railways 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-802746
railways intermediate

1947 - 331 is divisible by?

pipeline-802546
railways intermediate

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

pipeline-802536
railways intermediate

If the number 12a7b2c is divisible by the lowest two prime numbers and the lowest two-digit prime number, then what is the sum of a, b, c?

pipeline-802543
railways intermediate

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

pipeline-802547
railways intermediate

If 925x487y is divisible by 88, find x + y.

pipeline-842450
railways intermediate

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

pipeline-802657
railways 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-802659
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If 4p75684q2 is divisible by 72 then, find the value of p + q.

pipeline-842785
railways intermediate

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

pipeline-841713
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Which of the following numbers are divisible by 2, 3, or 5?

pipeline-823541
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Which of the following three numbers is/are divisible by 11?

A. 84478

B. 80160

C. 82984

pipeline-824220
railways intermediate

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

pipeline-802111
railways intermediate

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

pipeline-1172080
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715+716+ 717 is divisible by which of the following given numbers?

pipeline-1146842
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Which among the following numbers is exactly divisible by 11, 13, and 7?

pipeline-1171994
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What number from the following should be deducted from 1184 to make it exactly divisible by 21?

pipeline-1096784
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Which number among 98984, 98992, 98998 and 99008 is NOT divisible by 8?

pipeline-1106619
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If the nine - digit number 23541y49x is divisible by 72 then, (3x + 5y) : (5x + 3y) is equal to:

pipeline-1102356
railways intermediate

What is the number of even factors of 1250?

pipeline-801961
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715+716+ 717 is divisible by which of the following given numbers?

pipeline-1106615
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Which of the following numbers is not divisible by 6.

pipeline-1102368
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Which of the following is divisible by 24?

pipeline-1086360
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What is the minimum value of 'Y' for which 267Y2 is divisible by 3?

pipeline-1086896
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Find the square of the sum of the digits of the smallest number divisible by 18 and 24.

pipeline-1080672
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Find the least number which is exactly divisible by 20, 28, 34, 60 and 75.

pipeline-1081187
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If 1234567y is divisible by 11, then what is the value of y?

pipeline-1081193
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Find the lowest positive value of (c – b) such that the 7-digit number 1738b9c is divisible by 12.

pipeline-1081195
railways intermediate

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

pipeline-1080673
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The least number of five digits which is exactly divisible by 9, 12, 15, 25 and 27 is:

pipeline-1089071
railways intermediate

What is the greatest number of 4-digits which is divisible by 45, 25 and 5?

pipeline-1080668
railways intermediate

If a nine-digit number 985x3678y is divisible by 72, then the value of (4x – 3y) is:

pipeline-1086894
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What is the smallest perfect square number which is completely divisible by 4, 6, 9, 12 and 15?
pipeline-1086370
railways intermediate
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