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If @ represents a digit in 7 digit no. 3,62@,215, what is the value of @?
1) Sum of 7 digits is equal to 4 times an integer
2) Missing digit is different from any of the other digits in the number
2) Missing digit is different from any of the other digits in the number
- a)Exactly one of the statements can answer the question
- b)Both statements are required to answer the question
- c)Each statement can answer the question individually
- d)More information is required as the information provided is insufficient to answer the question
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
If @ represents a digit in 7 digit no. 3,62@,215, what is the value of...
Solution:
To find the value of @ in 7 digit no. 3,62@,215, we need to use both the given statements.
Statement 1: Sum of 7 digits is equal to 4 times an integer.
Let the sum of the digits be x. Then we can write:
x + @ + 16 = 4n
where n is some integer.
Simplifying the above equation, we get:
x + @ = 4n - 16
We can see that there are many possible values of x and @ that can satisfy this equation. For example, if n = 5, then x + @ = 4n - 16 = 4(5) - 16 = 4. In this case, x could be 1 and @ could be 3, or x could be 2 and @ could be 2, or x could be 3 and @ could be 1.
So, statement 1 alone is not sufficient to answer the question.
Statement 2: Missing digit is different from any of the other digits in the number.
This statement tells us that @ cannot be any of the digits 3, 6, 2, 1, or 5. So, @ must be either 0, 4, 7, 8, or 9.
However, this statement alone is also not sufficient to answer the question, as there are still multiple possible values of @ that could satisfy this condition.
Both statements together:
When we combine both statements, we get:
x + @ = 4n - 16
@ cannot be any of the digits 3, 6, 2, 1, or 5.
From statement 1, we know that x + @ is a multiple of 4. So, @ must be an even digit (0, 4, 8).
We can see that the only even digit that satisfies both conditions is @ = 8.
Therefore, both statements together are sufficient to answer the question.
Hence, the correct answer is option B.
To find the value of @ in 7 digit no. 3,62@,215, we need to use both the given statements.
Statement 1: Sum of 7 digits is equal to 4 times an integer.
Let the sum of the digits be x. Then we can write:
x + @ + 16 = 4n
where n is some integer.
Simplifying the above equation, we get:
x + @ = 4n - 16
We can see that there are many possible values of x and @ that can satisfy this equation. For example, if n = 5, then x + @ = 4n - 16 = 4(5) - 16 = 4. In this case, x could be 1 and @ could be 3, or x could be 2 and @ could be 2, or x could be 3 and @ could be 1.
So, statement 1 alone is not sufficient to answer the question.
Statement 2: Missing digit is different from any of the other digits in the number.
This statement tells us that @ cannot be any of the digits 3, 6, 2, 1, or 5. So, @ must be either 0, 4, 7, 8, or 9.
However, this statement alone is also not sufficient to answer the question, as there are still multiple possible values of @ that could satisfy this condition.
Both statements together:
When we combine both statements, we get:
x + @ = 4n - 16
@ cannot be any of the digits 3, 6, 2, 1, or 5.
From statement 1, we know that x + @ is a multiple of 4. So, @ must be an even digit (0, 4, 8).
We can see that the only even digit that satisfies both conditions is @ = 8.
Therefore, both statements together are sufficient to answer the question.
Hence, the correct answer is option B.
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Community Answer
If @ represents a digit in 7 digit no. 3,62@,215, what is the value of...
As the asked digit is different from the other digits already present possible digits for @ are 0,4,7,8,9. And as per statement number 1 sum of 7 digits is 4 times an integer that sum is divisible by 4. Hence the only possible digit is 9. Hence @ is 9.
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If @ represents a digit in 7 digit no. 3,62@,215, what is the value of @?1) Sum of 7 digits is equal to 4 times an integer2) Missing digit is different from any of the other digits in the number a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'B'. Can you explain this answer?
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