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Four friends, A, B, C and D distribute some money among themselves in such a manner that A gets one less than B, C gets 5 more than D, D gets 3 more than B. Who gets the smallest amount?
- a)A
- b)B
- c)C
- d)D
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Four friends, A, B, C and D distribute some money among themselves in ...
S1 – A= B-1
S2 – C=D+5
S3 – D = B+3
So, C> D >B> A
S2 – C=D+5
S3 – D = B+3
So, C> D >B> A
Most Upvoted Answer
Four friends, A, B, C and D distribute some money among themselves in ...
Given: A gets one less than B, C gets 5 more than D, D gets 3 more than B
To find: Who gets the smallest amount?
Let's assume that B gets x amount of money.
Then, according to the given conditions:
A gets (x-1) amount of money
D gets (x+3) amount of money
C gets (x+6) amount of money (since C gets 5 more than D)
Now, we can add up all the amounts and equate it to the total amount of money distributed among the four friends.
Total amount = A + B + C + D
Total amount = (x-1) + x + (x+6) + (x+3)
Total amount = 4x + 8
Let's say the total amount distributed is y.
Then we can write the equation as:
4x + 8 = y
To find the smallest amount, we need to find the minimum value of x.
Let's assume that A gets the smallest amount. Then,
A = (x-1)
B = x
C = (x+6)
D = (x+3)
So, the total amount distributed would be:
Total amount = A + B + C + D
Total amount = (x-1) + x + (x+6) + (x+3)
Total amount = 4x + 8
But we know that the total amount distributed is y.
So, we can write:
4x + 8 = y
To find the minimum value of x, we need to minimize y.
Since y is a constant, we can minimize it by minimizing x.
So, to minimize x, we need to make A as small as possible.
If A gets the smallest amount, then B would get one more than A, C would get 5 more than D, and D would get 3 more than B.
Therefore, the answer is option A (A gets the smallest amount).
To find: Who gets the smallest amount?
Let's assume that B gets x amount of money.
Then, according to the given conditions:
A gets (x-1) amount of money
D gets (x+3) amount of money
C gets (x+6) amount of money (since C gets 5 more than D)
Now, we can add up all the amounts and equate it to the total amount of money distributed among the four friends.
Total amount = A + B + C + D
Total amount = (x-1) + x + (x+6) + (x+3)
Total amount = 4x + 8
Let's say the total amount distributed is y.
Then we can write the equation as:
4x + 8 = y
To find the smallest amount, we need to find the minimum value of x.
Let's assume that A gets the smallest amount. Then,
A = (x-1)
B = x
C = (x+6)
D = (x+3)
So, the total amount distributed would be:
Total amount = A + B + C + D
Total amount = (x-1) + x + (x+6) + (x+3)
Total amount = 4x + 8
But we know that the total amount distributed is y.
So, we can write:
4x + 8 = y
To find the minimum value of x, we need to minimize y.
Since y is a constant, we can minimize it by minimizing x.
So, to minimize x, we need to make A as small as possible.
If A gets the smallest amount, then B would get one more than A, C would get 5 more than D, and D would get 3 more than B.
Therefore, the answer is option A (A gets the smallest amount).
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Four friends, A, B, C and D distribute some money among themselves in such a manner that A gets one less than B, C gets 5 more than D, D gets 3 more than B. Who gets the smallest amount?a)Ab)Bc)Cd)DCorrect answer is option 'A'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Four friends, A, B, C and D distribute some money among themselves in such a manner that A gets one less than B, C gets 5 more than D, D gets 3 more than B. Who gets the smallest amount?a)Ab)Bc)Cd)DCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four friends, A, B, C and D distribute some money among themselves in such a manner that A gets one less than B, C gets 5 more than D, D gets 3 more than B. Who gets the smallest amount?a)Ab)Bc)Cd)DCorrect answer is option 'A'. Can you explain this answer?.
Four friends, A, B, C and D distribute some money among themselves in such a manner that A gets one less than B, C gets 5 more than D, D gets 3 more than B. Who gets the smallest amount?a)Ab)Bc)Cd)DCorrect answer is option 'A'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Four friends, A, B, C and D distribute some money among themselves in such a manner that A gets one less than B, C gets 5 more than D, D gets 3 more than B. Who gets the smallest amount?a)Ab)Bc)Cd)DCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four friends, A, B, C and D distribute some money among themselves in such a manner that A gets one less than B, C gets 5 more than D, D gets 3 more than B. Who gets the smallest amount?a)Ab)Bc)Cd)DCorrect answer is option 'A'. Can you explain this answer?.
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Four friends, A, B, C and D distribute some money among themselves in such a manner that A gets one less than B, C gets 5 more than D, D gets 3 more than B. Who gets the smallest amount?a)Ab)Bc)Cd)DCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Four friends, A, B, C and D distribute some money among themselves in such a manner that A gets one less than B, C gets 5 more than D, D gets 3 more than B. Who gets the smallest amount?a)Ab)Bc)Cd)DCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Four friends, A, B, C and D distribute some money among themselves in such a manner that A gets one less than B, C gets 5 more than D, D gets 3 more than B. Who gets the smallest amount?a)Ab)Bc)Cd)DCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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