Question 1

1. What is the generalized form of a 3-digit number abc?

A) 100a + 10b + cB) 100a + b + cC) 10a + b + cD) a + b + c

Answer

✓ Correct Answer: Option A

Question 2

2. The sum of a 2-digit number ab and the number obtained by reversing its digits (ba) is always divisible by:

A) 9B) 10C) 11D) 12

Answer

✓ Correct Answer: Option C

Question 3

Question 4

4. If the number 24x is divisible by 3, what is the least possible value for the digit x?

A) 0B) 1C) 2D) 3

Answer

✓ Correct Answer: Option A

Question 5

5. If the number 31z5 is a multiple of 9, what is the value of the digit z?

A) 0B) 1C) 2D) 9

Answer

✓ Correct Answer: Option A

Question 6

6. Solve the cryptarithm: A + A + A = BA. Find the values of A and B.

A) A=4, B=1B) A=5, B=1C) A=6, B=1D) A=5, B=2

Answer

✓ Correct Answer: Option B

Question 7

7. If the division $N \div 5$ leaves a remainder of 3, what might be the ones digit of N?

A) 0 or 5B) 1 or 6C) 2 or 7D) 3 or 8

Answer

✓ Correct Answer: Option D

Question 8

8. The number 5x2 is a multiple of 11. Find the value of the digit x.

A) 4B) 5C) 6D) 7

Answer

✓ Correct Answer: Option D

Question 9

9. Solve the cryptarithm: 3A + 25 = B2. Find A and B.

A) A=7, B=6B) A=6, B=7C) A=5, B=6D) A=7, B=5

Answer

✓ Correct Answer: Option A

Question 10

10. Let abc be a 3-digit number. The result of abc - cba is always divisible by:

A) 11B) 99C) 101D) 111

Answer

✓ Correct Answer: Option B

Question 11

11. The sum of the digits of a 2-digit number is 9. When the digits are interchanged, the resulting number is 27 more than the original number. What is the original number?

A) 27B) 36C) 45D) 63

Answer

✓ Correct Answer: Option B

Question 12

12. If a number is divisible by both 5 and 6, then it must also be divisible by:

A) 11B) 15C) 30D) 60

Answer

✓ Correct Answer: Option C

Question 13

13. The generalized form 1000a + 10b + c represents which of the following numbers?

A) a0bcB) ab0cC) a00bcD) abc

Answer

✓ Correct Answer: Option A

Question 14

14. If 21y5 is a multiple of 9, where y is a digit, what is the value of y?

A) 0B) 1C) 2D) 3

Answer

✓ Correct Answer: Option B

Question 15

15. Find the value of Q in the multiplication cryptarithm: $1Q \times Q = 9Q$.

A) 4B) 5C) 6D) 7

Answer

✓ Correct Answer: Option C

Question 16

16. According to divisibility rules, a number is divisible by 8 if the number formed by its ____________ is divisible by 8.

A) Last digitB) Last two digitsC) Last three digitsD) Sum of digits

Answer

✓ Correct Answer: Option C

Question 17

17. If 52x is divisible by 4, what is the largest single-digit value possible for x?

A) 4B) 6C) 8D) 9

Answer

✓ Correct Answer: Option C

Question 18

18. For any 3-digit number abc, the sum abc + bca + cab is always perfectly divisible by:

A) 11B) 37C) 9D) 99

Answer

✓ Correct Answer: Option B

Question 19

19. If $N \div 2$ leaves a remainder of 1, what must be true about the ones digit of N?

A) It is an even digitB) It is an odd digitC) It is a prime digitD) It must be 0 or 5

Answer

✓ Correct Answer: Option B

Question 20

20. Solve the cryptarithm: $AB \times 3 = CAB$. Find the values of A, B, and C.

A) A=5, B=0, C=1B) A=1, B=5, C=0C) A=5, B=5, C=1D) A=0, B=5, C=1

Answer

✓ Correct Answer: Option A

Accepted Answer

✓ Correct Answer: Option A

Interactive Quiz on Number Play - Grade 8 Mathematics

1. What is the generalized form of a 3-digit number abc?

2. The sum of a 2-digit number ab and the number obtained by reversing its digits (ba) is always divisible by:

3. The difference between a 2-digit number ab and the number obtained by reversing its digits (ba) is always divisible by:

4. If the number 24x is divisible by 3, what is the least possible value for the digit x?

5. If the number 31z5 is a multiple of 9, what is the value of the digit z?

6. Solve the cryptarithm: A + A + A = BA. Find the values of A and B.

7. If the division $N \div 5$ leaves a remainder of 3, what might be the ones digit of N?

8. The number 5x2 is a multiple of 11. Find the value of the digit x.

9. Solve the cryptarithm: 3A + 25 = B2. Find A and B.

10. Let abc be a 3-digit number. The result of abc - cba is always divisible by:

11. The sum of the digits of a 2-digit number is 9. When the digits are interchanged, the resulting number is 27 more than the original number. What is the original number?

12. If a number is divisible by both 5 and 6, then it must also be divisible by:

13. The generalized form 1000a + 10b + c represents which of the following numbers?

14. If 21y5 is a multiple of 9, where y is a digit, what is the value of y?

15. Find the value of Q in the multiplication cryptarithm: $1Q \times Q = 9Q$.

16. According to divisibility rules, a number is divisible by 8 if the number formed by its ____________ is divisible by 8.

17. If 52x is divisible by 4, what is the largest single-digit value possible for x?

18. For any 3-digit number abc, the sum abc + bca + cab is always perfectly divisible by:

19. If $N \div 2$ leaves a remainder of 1, what must be true about the ones digit of N?

20. Solve the cryptarithm: $AB \times 3 = CAB$. Find the values of A, B, and C.