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

Which of the following is the nearest number to 13051 and is divisible by 9?

pipeline-1036635
railways intermediate

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

pipeline-1023341
railways intermediate

Find the number of factors of 28 × 75 × 14.

pipeline-1025441
railways intermediate

If 23783Z is divisible by 9. Find the value of Z if it is a single-digit value.

pipeline-988468
railways intermediate

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

 

pipeline-1021843
railways intermediate

Find the least number that should be added to make 2543 divisible by 36.

pipeline-988461
railways intermediate

Find the number of odd factors of 23 × 32 × 51 × 73.

pipeline-848565
railways intermediate

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

pipeline-1021943
railways intermediate

471 + 472 + 473 + 474 divisible by?

pipeline-841640
railways intermediate

The least number by which 2400 must be divided to get a number that is a perfect square is?

pipeline-826868
railways intermediate

Find the numbers which are completely divisible by 11 as follow:

(i) 196405

(ii) 64482 and

(iii) 706378.

pipeline-823619
railways intermediate

Find the least perfect square number which is divisible by 10, 12 and 15.

pipeline-823625
railways intermediate

If the 8-digit number 9x8z448y is divisible by 88. Find \(\sqrt {xy + yz +x(y + z)}\) such that y > 0  and z > x

pipeline-826853
railways intermediate

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-841631
railways intermediate

If a 5-digit number 512xy is divisible by 3, 7, and 11. Find the value of (√x2 + 10y + xy).

pipeline-801672
railways intermediate

The largest number of four digits that is exactly divisible by 17 and 36 is:

pipeline-1357859
ssc intermediate

Find the least number that must be added to 8932 to make it exactly divisible by 84.

pipeline-801757
railways intermediate

What is the product of the largest and the smallest possible values of m for which a number 5m83m4m1 is divisible by 9?

pipeline-1201882
ssc intermediate

\(3^{41}+7^{82}\) will be divisible by?

pipeline-1347248
ssc intermediate

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

pipeline-1201978
ssc intermediate

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

pipeline-1284968
ssc intermediate

Which of the following numbers is NOT divisible by 8?

pipeline-1282887
ssc intermediate

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

pipeline-1346179
ssc intermediate

There are how many integers between 3240 and 5960 that are divisible by both 24 and 32?

pipeline-1343695
ssc intermediate

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

pipeline-1344600
ssc intermediate

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?”

pipeline-1175924
ssc intermediate

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

pipeline-1282660
ssc 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-1282681
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625 + 626 + 627 + 628 is divisible by:

pipeline-1282753
ssc intermediate

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

pipeline-1282836
ssc intermediate

Find the number of factors in 1610.

pipeline-1340965
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If 5A72B is divisible by 11, then what is the value of B - A?

pipeline-1190165
ssc intermediate

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

pipeline-1337498
ssc intermediate

Which of the following numbers is divisible by 36?

pipeline-1201460
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If the nine-digit number 48x4923y8 is divisible by 88, then the value of (6x + 5y) for the maximum value of y, will be:

pipeline-1202163
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Which of the numbers 9592450, 9592330, 9592885 and 9592741 is divisible by 11?

pipeline-1200633
ssc intermediate

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

pipeline-1192494
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The least number by which 2400 must be divided to get a number that is a perfect square is?

pipeline-1193731
ssc intermediate

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

pipeline-1192214
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How many factors of 63 × 154 × 182 have a number of factors of the format 2n + 1 where 'n' is any whole number?

pipeline-1199891
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What is the sum of all three-digit numbers that is divisible by 15?

pipeline-1167808
ssc intermediate

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

pipeline-1202081
ssc intermediate

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-1163580
ssc intermediate

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

pipeline-1200535
ssc intermediate

An 11-digit number 7823326867X is divisible by 18. What is the value of X?

pipeline-1201269
ssc intermediate

How many numbers up to 910 are divisible by both 3 and 5?

pipeline-1201796
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How many numbers up to 980 are divisible by both 3 and 7?

pipeline-1163958
ssc intermediate

What is the value of x in the number 3426x if the number is divisible by 6 but NOT divisible by 5?

pipeline-1168929
ssc intermediate

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

pipeline-1201184
ssc intermediate

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

pipeline-1201698
ssc intermediate
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