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In a four digit number the sum of first two digit is equal to that of the last two digits.The sum of the first and last digit is equal to the third digit . Finally the sum of the second and fourth digits is twice the sum of the other two digits what is the third digit of that number OPTIONS :- 1. FIVE 2.EIGHT 3.ONE 4. FOUR?
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In a four digit number the sum of first two digit is equal to that of ...
Answer :
When
, then
.
When
, then
But the value of
should be less than
as it is a single digit.
Value of
would be
which is the third digit of the required number.
This question is part of UPSC exam. View all CAT courses
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In a four digit number the sum of first two digit is equal to that of ...
Analysis of the four-digit number:
Given information:
- Sum of first two digits = Sum of last two digits
- Sum of first and last digit = Third digit
- Sum of second and fourth digits = 2 * Sum of other two digits
Let's denote the digits as:
- Thousands place: A
- Hundreds place: B
- Tens place: C
- Units place: D
Equations based on the given information:
1. A + B = C + D
2. A + D = C
3. B + D = 2 * (A + C)
Solving the equations:
- Substituting equation 2 into equation 1, we get: C + B = C + D => B = D
- Substituting B = D into equation 3, we get: B + D = 2 * (A + C) => 2D = 2A + 2C => D = A + C
Putting D = A + C back into equation 2:
A + (A + C) = C => 2A + C = C => 2A = 0 => A = 0 (As A, B, C, D are digits)
Therefore, the third digit of the number is 0.
Hence, the correct option is 3. ONE.
Given information:
- Sum of first two digits = Sum of last two digits
- Sum of first and last digit = Third digit
- Sum of second and fourth digits = 2 * Sum of other two digits
Let's denote the digits as:
- Thousands place: A
- Hundreds place: B
- Tens place: C
- Units place: D
Equations based on the given information:
1. A + B = C + D
2. A + D = C
3. B + D = 2 * (A + C)
Solving the equations:
- Substituting equation 2 into equation 1, we get: C + B = C + D => B = D
- Substituting B = D into equation 3, we get: B + D = 2 * (A + C) => 2D = 2A + 2C => D = A + C
Putting D = A + C back into equation 2:
A + (A + C) = C => 2A + C = C => 2A = 0 => A = 0 (As A, B, C, D are digits)
Therefore, the third digit of the number is 0.
Hence, the correct option is 3. ONE.
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In a four digit number the sum of first two digit is equal to that of the last two digits.The sum of the first and last digit is equal to the third digit . Finally the sum of the second and fourth digits is twice the sum of the other two digits what is the third digit of that number OPTIONS :- 1. FIVE 2.EIGHT 3.ONE 4. FOUR?
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In a four digit number the sum of first two digit is equal to that of the last two digits.The sum of the first and last digit is equal to the third digit . Finally the sum of the second and fourth digits is twice the sum of the other two digits what is the third digit of that number OPTIONS :- 1. FIVE 2.EIGHT 3.ONE 4. FOUR? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In a four digit number the sum of first two digit is equal to that of the last two digits.The sum of the first and last digit is equal to the third digit . Finally the sum of the second and fourth digits is twice the sum of the other two digits what is the third digit of that number OPTIONS :- 1. FIVE 2.EIGHT 3.ONE 4. FOUR? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a four digit number the sum of first two digit is equal to that of the last two digits.The sum of the first and last digit is equal to the third digit . Finally the sum of the second and fourth digits is twice the sum of the other two digits what is the third digit of that number OPTIONS :- 1. FIVE 2.EIGHT 3.ONE 4. FOUR?.
In a four digit number the sum of first two digit is equal to that of the last two digits.The sum of the first and last digit is equal to the third digit . Finally the sum of the second and fourth digits is twice the sum of the other two digits what is the third digit of that number OPTIONS :- 1. FIVE 2.EIGHT 3.ONE 4. FOUR? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In a four digit number the sum of first two digit is equal to that of the last two digits.The sum of the first and last digit is equal to the third digit . Finally the sum of the second and fourth digits is twice the sum of the other two digits what is the third digit of that number OPTIONS :- 1. FIVE 2.EIGHT 3.ONE 4. FOUR? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a four digit number the sum of first two digit is equal to that of the last two digits.The sum of the first and last digit is equal to the third digit . Finally the sum of the second and fourth digits is twice the sum of the other two digits what is the third digit of that number OPTIONS :- 1. FIVE 2.EIGHT 3.ONE 4. FOUR?.
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