Worksheet on Test of Divisibility

Practice the questions given in the worksheet on test of divisibility.

1. The largest natural number which exactly  divides the product of any five consecutive natural number is:

(a) 6

(b) 12

(c) 24

(d) 120


2. The sum of the cubes of any three consecutive natural numbers are always divisible by

(a) sum of squares of three numbers

(b) product of three numbers

(c) 27

(d) sum of three numbers.

3. The difference between the squares of two consecutive even integers is always divisible by:

(a) 12

(b) 6

(c) 4

(d) 8


4. How many three-digit numbers are divisible by 6?

(a) 102

(b) 150

(c) 151

(d) 966


5. The smallest number of five digits exactly divisible by 476 is

(a) 47600

(b) 10000

(c) 10476

(d) 10472


6. What minimum number should be added to 936261 to make it exactly divisible by 7?

(a) 12

(b) 5

(c) 9

(d) 6


7. 2^8 × 3^6 is divisible by

(a) 2^7 × 3^7

(b) 2^6 × 3^5

(c) 2^4 × 3^7

(d) 2^5 × 3^8


8. One less than (49)^15 is exactly divisible by

(a) 50

(b) 51

(c) 49

(d) 8


9. In a six-digit number, the sum of the digits in the even places is 13 but the sum of the digits in the odd place is 24. All such numbers are divisible by

(a) 7

(b) 9

(c) 11

(d) None of these


10. In a six-digit even number, the sum of the digits in the even places is 12 and the sum of the digits in the odd places is 15. All such numbers are divisible by

(a) 17

(b) 18

(c) 21

(d) none

11. The sum of all possible three-digit numbers formed from three different one-digit natural numbers when divided by the sum of the original three digits is equal to

(a) 313

(b) 121

(c) 222

(d) 444


12. If the number 357*25*is divisible by 3 and 5, the missing digits in the unit’s place and the thousand’s place respectively are

(a) 0, 6

(b) 5, 1

(c) 5, 4

(d) none of these


13. The total number of integers between 100 and 200 which are divisible by both 9 and 6 is

(a) 5

(b) 6

(c) 7

(d) 8


14. What should be the value of K so that 1623K is divisible by 99?

(a) 5

(b) 6

(c) for no value

(d) any value


15.If x and y are positive integers such that 3x + y is multiple of 11, then which of the following will also be divisible by 11?

(a) 4x + 6y

(b) x +y + 5

(c) 9x + 3y

(d) 4x - 9y


16. A number lies between the cubes of 15 and 16. If the number is divisible by the square of 12 as well as 7, what is the number?

(a) 3469

(b) 4032

(c) 4096

(d) 5249


17. How many numbers between 300 and 700 are divisible by 2, 3 and 7 together?

(a) 9

(b) 8

(c) 12

(d) 11


18. The greatest number by which n(n + 1)(n +2)(n + 3) is divisible where n is any positive integer is:

(a) 24

(b) 35

(c) 15

(d) 48


Answers for the worksheet on worksheet on test of divisibility are given below.


Answers:


1. (d)

2. (d)

3. (c)

4. (b)

5. (d)

6. (d)

7. (b)

8. (d)

9. (c)

10. (b)

11. (c)

12. (d)

13. (b)

14. (b)

15. (c)

16. (b)

17. (a)

18. (d)




Math Employment Test Samples

From Worksheet on Test of Divisibility to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Concept of Fractions |Concept of Half| Concept of One Fourth|Two Third

    Nov 07, 24 12:38 AM

    One-half
    Concept of fractions will help us to express different fractional parts of a whole. One-half When an article or a collection of objects is divided into two equal parts is called as half of the whole.

    Read More

  2. 2nd Grade Math Practice | Second Grade Math |2nd Grade Math Worksheets

    Nov 06, 24 11:59 PM

    In 2nd grade math practice you will get all types of examples on different topics along with the solutions. Second grade math games are arranged in such a way that students can learn math

    Read More

  3. 2nd Grade Division Word Problems | Worksheet on Division Word Problems

    Nov 05, 24 01:49 PM

    Division Word Problems Grade 2

    Read More

  4. 2nd Grade Division Worksheet | Dividing 2-digit by 1-digit Numbers

    Nov 05, 24 01:15 AM

    Division Fact 12 ÷ 3
    Dividing 2-digit by 1-digit Numbers

    Read More

  5. Even and Odd Numbers Between 1 and 100 | Even and Odd Numbers|Examples

    Nov 05, 24 12:55 AM

    even and odd numbers
    All the even and odd numbers between 1 and 100 are discussed here. What are the even numbers from 1 to 100? The even numbers from 1 to 100 are:

    Read More