Cluster · Number System Divisibility and Perfect Squares
| Question | Category | Subtype | Difficulty | |
|---|---|---|---|---|
|
If the number a525b973 is divisible by 33, then which of the following could be (a × b)? pipeline-496694
|
rpf | — | intermediate | |
|
How many factors of 1080 are perfect squares? pipeline-492579
|
rpf | — | intermediate | |
|
If the number x869y is divisible by 3 and 4 then, what will be the least value of (2x + 5y)? pipeline-490308
|
rpf | — | 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-489666
|
rpf | — | intermediate | |
|
Consider the given numbers: 12990, 55464, 507455, 1874736, and 22074056 which is completely divisible by 6 and 8 both? pipeline-490317
|
rpf | — | intermediate | |
|
The least number by which 2400 must be divided to get a number that is a perfect square is? pipeline-481725
|
rpf | — | intermediate | |
|
If 4p75684q2 is divisible by 72 then, find the value of p + q. pipeline-489668
|
rpf | — | intermediate | |
|
Find the total number of prime factors of 148. pipeline-484305
|
rpf | — | intermediate | |
|
If 'M' is the smallest perfect square number, which is exactly divisible by 12, 15 and 18, then find the sum of the digits of the quotient obtained, when M is divided by 25. pipeline-1310625
|
defence | — | 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-1318927
|
defence | — | 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-1318941
|
defence | — | intermediate | |
|
350 + 926 + 2718 + 928 + 929 is divisible by which of the following integers? pipeline-1318922
|
defence | — | intermediate | |
|
If the nine-digit number 708x6y8z9 is divisible by 99, then what is the value of x + y + z? pipeline-1305321
|
defence | — | intermediate | |
|
625 + 626 + 627 + 628 is divisible by: pipeline-1305322
|
defence | — | intermediate | |
|
If the 6-digit numbers x35624 and 1257y4 are divisible by 11 and 72, respectively, then what is the value of (5x - 2y)? pipeline-1305320
|
defence | — | intermediate | |
|
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? pipeline-1296663
|
defence | — | intermediate | |
|
For what least value of n, 22n + 2n is completely divided by 6, where n is an integer? pipeline-1296597
|
defence | — | intermediate | |
|
A number is divisible by 11 if and only if the difference of the sum of the digits in the even and odd positions in the number is: pipeline-1296651
|
defence | — | 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-1290097
|
defence | — | intermediate | |
|
Which one of the following is correct regarding the Statements given below? Statement 1: 210 is the smallest natural number having exactly 11 factors. Statement 2: 211 is the smallest natural number having exactly 12 factors. Statement 3: 212 is the smallest natural number having exactly 13 factors. pipeline-1290116
|
defence | — | intermediate | |
|
If the 9-digit number 5x82y6588 is exactly by 99 (x + y < 10), then what is the value of y - x? pipeline-1296687
|
defence | — | intermediate | |
|
If the number 756534P57Q is divisible by 72, then find the value of 2P + Q. pipeline-1290100
|
defence | — | intermediate | |
|
K being any odd number greater than 1, k33 - k is always divisible by pipeline-1296671
|
defence | — | intermediate | |
|
If the 6-digit number 479xy9 is divisible by each of 7, 11, 13, then (x - y) is equal to - pipeline-1290129
|
defence | — | intermediate | |
|
If the number 72864*@ is divisible by both 8 and 5, then what digits will come in place of * and @ respectively? pipeline-1296626
|
defence | — | intermediate | |
|
If the nine-digit number 3422213AB is divisible by 99, then what is the value of 2A + B? pipeline-1272505
|
defence | — | intermediate | |
|
The number 9730 - 1430 is divisible by? pipeline-1272501
|
defence | — | intermediate | |
|
How many natural numbers less than 1000 are divisible by 5 or 7 but NOT by 35? pipeline-1266175
|
defence | — | intermediate | |
|
What is the smallest number that is a multiple of 13, 15, 4, 21 and 2? pipeline-1251961
|
defence | — | intermediate | |
|
Find the lowest positive value of (c – b) such that the 7-digit number 1738b9c is divisible by 12. pipeline-1251963
|
defence | — | intermediate | |
|
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: pipeline-1266171
|
defence | — | intermediate | |
|
How many 100 digit even number? pipeline-1266174
|
defence | — | intermediate | |
|
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: pipeline-1266143
|
defence | — | intermediate | |
|
The product of four consecutive numbers is always divisible by which of the following numbers? pipeline-1251906
|
defence | — | intermediate | |
|
Replace * by the smallest digit so that 723*56* is divisible by 6. pipeline-1265965
|
ib | — | 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-1241983
|
defence | — | intermediate | |
|
The product of four consecutive numbers is always divisible by which of the following numbers? pipeline-1266076
|
ib | — | intermediate | |
|
How many factors of the number 28 × 36 × 54 ×105 are multiples of 120? pipeline-1241963
|
defence | — | intermediate | |
|
There exists a natural number N which is 50 times its own logarithm to the base 10, then the sum of the digits in N is pipeline-1242001
|
defence | — | intermediate | |
|
(2310 - 1024) is not divisible by? pipeline-1242005
|
defence | — | intermediate | |
|
If a 9-digit number 609a5b9c9 is divided by 99, then (a + b + c) is equal to: pipeline-1259342
|
ib | — | intermediate | |
|
If 3c2933k is divisible by both 5 and 11, where c and k are single digit natural numbers, then c + k = ______. pipeline-1259569
|
ib | — | intermediate | |
|
Which of the following numbers is divisible by 36? pipeline-1264291
|
ib | — | intermediate | |
|
The five-digit number 45yz0 is divisible by 40. What is the maximum possible value of (y + z)? pipeline-1255973
|
ib | — | intermediate | |
|
If 5A72B is divisible by 11, then what is the value of B - A? pipeline-1253393
|
ib | — | intermediate | |
|
The number 4,29,714 is divisible by: pipeline-1255177
|
ib | — | intermediate | |
|
How many numbers up to 980 are divisible by both 3 and 7? pipeline-1256062
|
ib | — | intermediate | |
|
Find the smallest four-digit number which is divisible by 4, 8, 12, and 16. pipeline-1253000
|
ib | — | intermediate | |
|
What is the least positive value of A in the number 34278A2597, which is divisible by 9? pipeline-1251826
|
ib | — | intermediate | |
|
If the 8- digit number 7x5739y2 is divisible by 88, then the largest possible value of (4x + 3y) is : pipeline-1241560
|
ib | — | intermediate |