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

pipeline-1992
reasoning intermediate

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

pipeline-42625
reasoning intermediate

If a 8-digit number 30x558y2 is divisible by 88, then the value of (6x + 6y) is:

pipeline-6997
reasoning intermediate

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

pipeline-6338
reasoning intermediate

If the six digit number 4x573y is divisible by 72 then the value of (x + y) is:

pipeline-6475
reasoning intermediate

The ten digit number 2x600000y8 is exactly divisible by 24. If x ≠ 0 and y ≠ 0, then the least value of (x + y) is equal to:

pipeline-7780
reasoning intermediate

What is the number of even factors of 3168?

pipeline-3697
reasoning intermediate

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?

pipeline-1344
reasoning intermediate

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:-

pipeline-508972
reasoning intermediate

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

pipeline-2635
reasoning 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-15939
reasoning intermediate

If the nine-digit number 8175x45y2 is divisible by 72, then find the largest value of y:

pipeline-7901
reasoning 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-3935
reasoning intermediate

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

pipeline-113
reasoning intermediate

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

pipeline-512071
reasoning intermediate

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

pipeline-1038
reasoning intermediate

If a 10-digit number 6220x558y2 is divisible by 88, then the value of (5x + 5y) is:

pipeline-5832
reasoning intermediate

A number 14 when added to twice its seventh multiple and the resultant when divided by the smallest prime number give the outcome as-

pipeline-507679
reasoning intermediate

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

pipeline-510762
reasoning intermediate

What is the value of x so that the seven digit number 55350x2 is divisible by 72?

pipeline-5394
reasoning intermediate

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

pipeline-1306231
mp_police intermediate

Find the greatest 3-digit number divisible by 3, formed using the digits 0, 1, 2, 3, 5 without any repetition.

pipeline-1305940
mp_police intermediate

Which number among 24963, 24973, 24983 and 24993 is divisible by 7?

pipeline-1306033
mp_police intermediate

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

pipeline-1306248
mp_police intermediate

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

pipeline-1306234
mp_police intermediate

When choosing a 3-digit number at random, what is the probability of choosing a number which is divisible by both 5 and 9?

pipeline-1305956
mp_police intermediate

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

pipeline-1306130
mp_police intermediate

If the 11-digit number 89x6402087y is divisible by 72, then what is the value of (2x - y)?

pipeline-1305932
mp_police intermediate

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

pipeline-1306257
mp_police intermediate

If a 9-digit number 609a5b9c9 is divided by 99, then (a + b + c) is equal to:

pipeline-1305643
mp_police intermediate

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

pipeline-1305848
mp_police intermediate

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

pipeline-1305745
mp_police intermediate

What is the least value of x for which the number 712x816 is divisible by 12?

pipeline-1305854
mp_police intermediate

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

pipeline-1305747
mp_police intermediate
What is the smallest perfect square number which is completely divisible by 4, 6, 9, 12 and 15?
pipeline-1305735
mp_police intermediate

If the seven - digit number 49x29y6 is divisible by 72, then what will be the value of (x + 2y) for the largest value of x and y?

pipeline-1302124
mp_police intermediate

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

pipeline-1305748
mp_police intermediate

How many factors of the number 28 × 36 × 54 ×105 are multiples of 120?

pipeline-1299281
mp_police intermediate

(2310 - 1024) is not divisible by?

pipeline-1299298
mp_police intermediate

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

pipeline-1292904
mp_police intermediate

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

pipeline-1293002
mp_police intermediate

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

pipeline-1297059
mp_police intermediate

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

pipeline-1291602
mp_police intermediate

Which of the following numbers is divisible by 6?

pipeline-1292906
mp_police intermediate

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

pipeline-1292989
mp_police intermediate

A six-digit number 4ABB8A is a multiple of 33 for non-zero digits A and B. Which of the following could be the possible values of A and B?

pipeline-1286136
mp_police intermediate

471 + 472 + 473 + 474 divisible by?

pipeline-1286144
mp_police intermediate

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

pipeline-1288154
mp_police intermediate

Find the least value of k for which a 7-digit number 249k876 is divisible by 6.

pipeline-1273610
mp_police intermediate

If the 7-digit number 612x97y is divisible by 72, and the 6-digit number 34z178 is divisible by 11, then the value of (x - 2y + 3z) is:

pipeline-1272113
mp_police intermediate
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