CAT Exam > CAT Questions > In a four digit number the sum of first two d...
Start Learning for Free
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?
Verified Answer
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
Most Upvoted Answer
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.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
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?
Question Description
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?.
Solutions 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 English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup