Divisibility
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Divisibility
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21 Questions

1. The product of 4 consecutive even numbers is always divisible by:
2. 2ab5 is a four-digit number divisible by 25. If the number formed from the two digits ab is a multiple of 13, then ab=
3. If each of the three nonzero numbers a, b and c is divisible by 3, then abc must be divisible by which one of the following the numbers?
4. How many natural numbers below 660 are divisible by 5 and 11 but not by 3?
5. What value of k makes the number 9724k exactly divisible by 6 ?
6. When 242 is divided by a certain divisor the remainder obtained is 8. When 698 is divided by the same divisor the remainder obtained is 9.However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 4.What is the value of the divisor?
7. A number is formed by writing first 67 natural numbers in front of each other as 34567891011.... What is the remainder when this number is divided by 8?
8. If 522x is a three digit number with as a digit x . If the number is divisible by 6, What is the value of the digit x is?
9. For a number to be divisible by 88 it should be:
10. Which digits should come in place of X and Y if the number 12365484XY is divisible by both 8 and 5?
11. Find the sum of the digits of the least natural number P, such that the sum of the cubes of the four smallest distinct divisors of P equals 2P.
12. Find the least of value of k so that the number 37k124 is divisible by 9 ?
13. If M183 is divisible by 11, find the value of the smallest natural number M ?
14. What is the smallest number that should be added to 27452 to make it exactly divisible by 9?
15. A number when divided by a divisor leaves a remainder of 24.When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
16. What is the value of M and N respectively if M39048458N is divisible by 8 and 11, where M and N are single digit integers?
17. What least whole number should be added to 532869 to make it divisible by 9?
18. The sum of three digit number is subtracted from the number. The Resulting number is always:
19. Find the least of value of ‘x’ so that the number 73818x4 is divisible by 8
20. What is the smallest number which must be added to 8261955 so as to obtain a sum which is divisible by 11?
21. What is the least value of x such that 7648x is divisible by 11?

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