Solved Questions on Divisibility Rules for Numbers 2 to 13
1. Which of the following numbers is divisible by 3?
a) 1248
b) 1546
c) 1876
d) 2134
Answer: a) 1248
Explanation: To check if a number is divisible by 3, add all the digits of the number.
If the sum is divisible by 3, then the original number will also be divisible by 3.
In this case, 1 + 2 + 4 + 8 = 15, which is divisible by 3, this means 1248 is also divisible by 3.
2. Which of the following numbers is divisible by 4?
a) 435
b) 516
c) 486
d) 298
Answer: b) 516
Explanation: To check if a number is divisible by 4, check the last two digits of the number. If it is divisible by 4, then the original number will also be divisible by 4.
In this case, the last two digits are 16, which are divisible by 4. So, 516 will also be divisible by 4.
3. Which of the following numbers is divisible by 5?
a)7964
b) 3547
c) 4525
d) 5698
Answer: c) 4525
Explanation: To check if a number is divisible by 5, check the last digit of the number.
If it is either 0 or 5, then the original number will also be divisible by 5.
In this case, the unit digit of the given number is 5, this means 4525 is divisible by 5.
4. Which of the following numbers is divisible by 6?
a) 816
b)1264
c) 2734
d) 3146
Answer: a) 816
Explanation: To check if a number is divisible by 6, check if it is divisible by both 2 and 3. If it is, then it is divisible by 6.
In this case, 816 is divisible by 2 (the last digit is 6) and is also divisible by 3 (8 + 1 + 6), so it is divisible by 6.
5. Which of the following numbers is divisible by 9?
a) 1745
b) 6328
c) 7415
d) 8136
Answer: d) 8136
Explanation: To check if a number is divisible by 9, add up all the digits of the number. If the sum is divisible by 9, then the original number is divisible by 9.
In this case, 8 + 1 + 3 + 6 = 18, which is divisible by 9, so 8136 is divisible by 9.
Practice Questions on Divisibility Rules for Numbers 2 to 13
1. Which of the following numbers is divisible by 3?
a) 2352
b) 1546
c) 1876
d) 2134
Answer: a) 2352
2. Which of the following numbers is divisible by 5?
a) 1248
b) 3256
c) 6480
d) 7832
Answer: c) 6480
3. Which of the following numbers is divisible by 6?
a) 1382
b) 2348
c) 4861
d) 6072
Answer: d) 6072
4. Which of the following numbers is divisible by 9?
a) 3615
b) 2069
c) 9675
d) 1654
Answer: c) 9675
5. Which of the following numbers is divisible by 10?
a) 3560
b) 4675
c) 5281
d) 6535
Answer: a) 3560
6. Which of the following numbers is divisible by 11?
a) 3635
b) 4253
c) 7084
d) 1245
Answer: c) 7084
7. Which of the following numbers is divisible by 13?
a) 1749
b) 2644
c) 3264
d) 4095
Answer: d) 4095
8. What digit should replace the * to make the number 74*8 divisible by 3?
a) 4
b) 5
c) 6
d) 7
Answer: b) 5
9. What digit should replace the * to make the number 69*87 divisible by 9?
a) 5
b) 6
c) 7
d) 8
Answer: b) 6
10. What digit should replace the * to make the number 835*9 divisible by 11?
a) 6
b) 7
c) 8
d) 9
Answer: c) 8
