Divisibility Rules Practice Quiz
(411).jpg "Divisibility Rules Practice Quiz - Quiz")
You must have read about the divisibility rules in your maths textbooks. Do you still remember those rules? If yes, play it out this practice quiz and test your knowledge for the same. A divisibility rule is a short and useful method to identify whether any given number is divisible by a fixed divisor without performing the actual division. The below quiz contains ten questions. Let's see how easily you solve it. Shall we begin it now? Good luck!
- 1.
If the sum of the digits of a number is divisible by 3, then the number will be divisible by which of the following?
- A.
3
- B.
9
- C.
2
- D.
7
Correct Answer
A. 3Explanation
If the sum of the digits of a number is divisible by 3, then the number will be divisible by 3 as well. This is because when a number is divisible by 3, the sum of its digits is also divisible by 3. Therefore, if the sum of the digits of a number is divisible by 3, it implies that the number itself is divisible by 3.Rate this question:
-
- 2.
Which number is divisible by 2?
- A.
123
- B.
236
- C.
237
- D.
345
Correct Answer
B. 236Explanation
The number 236 is divisible by 2 because it ends in an even digit, which means it is an even number. In contrast, the other numbers listed (123, 237, and 345) do not end in even digits and are therefore not divisible by 2.Rate this question:
-
- 3.
1000 can be divisible by which number here?
- A.
5
- B.
3
- C.
2
- D.
2 and 5 both
Correct Answer
D. 2 and 5 bothExplanation
1000 can be divided evenly by both 2 and 5. When a number is divisible by 2, it means that it can be divided into two equal parts without leaving any remainder. Similarly, when a number is divisible by 5, it means that it can be divided into five equal parts without leaving any remainder. In the case of 1000, it can be divided by 2 to give 500 and by 5 to give 200. Therefore, the correct answer is that 1000 is divisible by both 2 and 5.Rate this question:
-
- 4.
Which number is divisible by both 2 and 3?
- A.
126
- B.
100
- C.
123
- D.
133
Correct Answer
A. 126Explanation
The number 126 is divisible by both 2 and 3 because it is an even number (divisible by 2) and the sum of its digits (1+2+6) is 9, which is divisible by 3. Therefore, 126 satisfies the conditions of being divisible by both 2 and 3.Rate this question:
-
- 5.
Which number is divisible by 9?
- A.
78500
- B.
78531
- C.
78532
- D.
78534
Correct Answer
D. 78534Explanation
The number 78534 is divisible by 9 because the sum of its digits is divisible by 9. In this case, 7+8+5+3+4=27, which is divisible by 9. Therefore, 78534 is divisible by 9.Rate this question:
-
- 6.
Which number is divisible by both 3 and 9?
- A.
78531
- B.
78534
- C.
3333
- D.
1234
Correct Answer
B. 78534Explanation
The number 78534 is divisible by both 3 and 9 because the sum of its digits (7+8+5+3+4) is equal to 27, which is divisible by both 3 and 9.Rate this question:
-
- 7.
15000 can be divisible by which number here?
- A.
2
- B.
3
- C.
5
- D.
All of the above
Correct Answer
D. All of the aboveExplanation
The number 15000 can be divided evenly by 2 because it is an even number. It can also be divided evenly by 3 because the sum of its digits (1+5+0+0+0) is divisible by 3. Additionally, it can be divided evenly by 5 because it ends in 0 or 5. Therefore, all of the given numbers (2, 3, and 5) can divide 15000 evenly.Rate this question:
-
- 8.
What numbers are divisible by 2, 3, and 10 at the same time?
- A.
12
- B.
30
- C.
80
- D.
120
- E.
50
Correct Answer(s)
B. 30
D. 120Explanation
The numbers that are divisible by 2, 3, and 10 at the same time are called common multiples. In this case, 30 and 120 are the common multiples. Both 30 and 120 can be divided evenly by 2, 3, and 10, making them the correct answers.Rate this question:
-
- 9.
The number 203 is divisible by 3 and 7
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
The number 203 is not divisible by 3 because the sum of its digits (2+0+3) is not divisible by 3. Additionally, 203 is not divisible by 7 because it does not end in a 7 or a 0. Therefore, the statement is false.Rate this question:
-
- 10.
36 is divisible by
- A.
10
- B.
5
- C.
2
- D.
7
Correct Answer
C. 2Explanation
The number 36 is divisible by 2 because it is an even number.Rate this question:
-
Quiz Review Timeline +
Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
-
Current Version
-
Mar 13, 2024Quiz Edited by
ProProfs Editorial Team
Expert Reviewed by
Janaisa Harris -
Feb 23, 2022Quiz Created by
Themes
- Cartography Quizzes
- Civics Quizzes
- Economics Quizzes
- El112 Quizzes
- English Quizzes
- Geography Quizzes
- History Quizzes
- Humanities Quizzes
- Law Quizzes
- Linguistics Quizzes
- Logic Quizzes
- Philosophy Quizzes
- Political Science Quizzes
- Politics Quizzes
- Science Quizzes
- Social Science Quizzes
- Sociology Quizzes