| B | H | A | A | G | F | ||
| + | A | H | J | F | K | F | |
| A | A | F | G | C | A | F |
Which digit does the letter A represent?
Correct Answer: 1
Solution and Explanation
Let's summarize the key findings:
Identification of H: The units digit of 2H must be 0, leading to the conclusion that H = 5.
Determination of A and B: Since the sum of both 6-digit numbers is a 7-digit number, the leftmost digit in the 7-digit number has to be 1. Therefore, A = 1. With H = 5, B can be calculated as 9.
Calculation of C: C is determined as A + 1, which is 2.
Possible values for G and K: The units digit of the sum of G + K is 1, leading to two possible pairs (3 and 8 or 4 and 7).
Exploration of possible values for J: Analyzing the possibilities for J based on the pairs for G and K.
- If J = 3, G = 4, K = 7, and D and E are 6 and 8.
- If J = 6, G = 7, K = 4, and D and E are 3 and 8.
- If J = 7, G = 8, K = 3, and D and E are 4 and 6.
The analysis efficiently eliminates some possibilities based on distinct digits for each letter and leads to potential solutions for the values of G, K, J, D, and E.
A represents 1.
Which digit does the letter B represent?
Correct Answer: 9
Solution and Explanation
Let's summarize the key findings:
Identification of H: The units digit of 2H must be 0, leading to the conclusion that H = 5.
Determination of A and B: Since the sum of both 6-digit numbers is a 7-digit number, the leftmost digit in the 7-digit number has to be 1. Therefore, A = 1. With H = 5, B can be calculated as 9.
Calculation of C: C is determined as A + 1, which is 2.
Possible values for G and K: The units digit of the sum of G + K is 1, leading to two possible pairs (3 and 8 or 4 and 7).
Exploration of possible values for J: Analyzing the possibilities for J based on the pairs for G and K.
- If J = 3, G = 4, K = 7, and D and E are 6 and 8.
- If J = 6, G = 7, K = 4, and D and E are 3 and 8.
- If J = 7, G = 8, K = 3, and D and E are 4 and 6.
The analysis efficiently eliminates some possibilities based on distinct digits for each letter and leads to potential solutions for the values of G, K, J, D, and E.
B represents 9.
Which among the digits 3, 4, 6 and 7 cannot be represented by the letter D?
Correct Answer: 7
Solution and Explanation
Let's summarize the key findings:
Identification of H: The units digit of 2H must be 0, leading to the conclusion that H = 5.
Determination of A and B: Since the sum of both 6-digit numbers is a 7-digit number, the leftmost digit in the 7-digit number has to be 1. Therefore, A = 1. With H = 5, B can be calculated as 9.
Calculation of C: C is determined as A + 1, which is 2.
Possible values for G and K: The units digit of the sum of G + K is 1, leading to two possible pairs (3 and 8 or 4 and 7).
Exploration of possible values for J: Analyzing the possibilities for J based on the pairs for G and K.
- If J = 3, G = 4, K = 7, and D and E are 6 and 8.
- If J = 6, G = 7, K = 4, and D and E are 3 and 8.
- If J = 7, G = 8, K = 3, and D and E are 4 and 6.
The analysis efficiently eliminates some possibilities based on distinct digits for each letter and leads to potential solutions for the values of G, K, J, D, and E.
D cannot be 7.
Which among the digits 4, 6, 7 and 8 cannot be represented by the letter G?
Correct Answer: 6
Solution and Explanation
Let's summarize the key findings:
Identification of H: The units digit of 2H must be 0, leading to the conclusion that H = 5.
Determination of A and B: Since the sum of both 6-digit numbers is a 7-digit number, the leftmost digit in the 7-digit number has to be 1. Therefore, A = 1. With H = 5, B can be calculated as 9.
Calculation of C: C is determined as A + 1, which is 2.
Possible values for G and K: The units digit of the sum of G + K is 1, leading to two possible pairs (3 and 8 or 4 and 7).
Exploration of possible values for J: Analyzing the possibilities for J based on the pairs for G and K.
- If J = 3, G = 4, K = 7, and D and E are 6 and 8.
- If J = 6, G = 7, K = 4, and D and E are 3 and 8.
- If J = 7, G = 8, K = 3, and D and E are 4 and 6.
The analysis efficiently eliminates some possibilities based on distinct digits for each letter and leads to potential solutions for the values of G, K, J, D, and E.
G cannot be 6.
Top Questions on Data comparison from Table
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1. In every month, both online and offline registration numbers were multiples of 10 .
2. In January, the number of offline registrations was twice that of online registrations.
3. In April, the number of online registrations was twice that of offline registrations.
4. The number of online registrations in March was the same as the number of offline registrations in February.
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1. In every month, both online and offline registration numbers were multiples of 10 .
2. In January, the number of offline registrations was twice that of online registrations.
3. In April, the number of online registrations was twice that of offline registrations.
4. The number of online registrations in March was the same as the number of offline registrations in February.
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1. In every month, both online and offline registration numbers were multiples of 10 .
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The following additional facts are known.
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