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Quantity I: A’s present age is 40% more than B’s present age and also 87.5% of C’s present age. After 5 years, C’s age will be 45% more than B’s age. Find the average present age of A, B and C?
Quantity II: Inlet pipe A and outlet pipe C together can fill a tank in 33(1/3) minutes. Inlet pipe B and outlet pipe C together can fill the tank in 300 minutes. If ratio of A’s efficiency to B’s efficiency is 3: 1, then in what time (in minutes) pipes A and B together can fill the tank?
  • a)
    Quantity I > Quantity II
  • b)
    Quantity I < Quantity II
  • c)
    Quantity I ≥ Quantity II
  • d)
    Quantity I ≤ Quantity II
  • e)
    Quantity I = Quantity II or relation cannot be determined
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Quantity I: A’s present age is 40% more than B’s present a...
Quantity I:
Let B’s present age = ‘5x’ years
So, A’s present age = 140% of ‘5x’ = ‘7x’ years
And C’s present age = 7x * (100/87.5) = ‘8x’ years
So, (8x + 5) = (5x + 5) * (145/100)
160x + 100 = 145x + 145
15x = 45
x = 3
A’s present age = 7 * 3 = 21 years
B’s present age = 5 * 3 = 15 years
C’s present age = 8 * 3 = 24 years
Required average = (21 + 15 + 24)/3 = 20 years
Quantity II:
Let the time taken by pipe A alone and pipe B alone to fill the tank is ‘x’ minutes and ‘3x’ minutes respectively.
Also let time taken by pipe C alone to empty the tank is ‘y’ minutes.
So, (1/x) – (1/y) = 3/100 ----------→ (1)
And (1/3x) – (1/y) = 1/300 ----------→ (2)
From equations (1) and (2):
(1/x) – (3/100) = (1/3x) – (1/300)
(1/x) – (1/3x) = (3/100) – (1/300)
2/3x = 8/300
x = 25
Time taken by pipe A alone to fill the tank = 25 minutes
Time taken by pipe B alone to fill the tank = 3 * 25 = 75 minutes
Part of tank filled by A and B together in 1 minute = (1/25) + (1/75) = 4/75
So, time taken by A and B together to fill the tank = 75/4 = 18.75 minutes
Hence, Quantity I > Quantity II.
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Quantity I: A’s present age is 40% more than B’s present age and also 87.5% of C’s present age. After 5 years, C’s age will be 45% more than B’s age. Find the average present age of A, B and C?Quantity II: Inlet pipe A and outlet pipe C together can fill a tank in 33(1/3) minutes. Inlet pipe B and outlet pipe C together can fill the tank in 300 minutes. If ratio of A’s efficiency to B’s efficiency is 3: 1, then in what time (in minutes) pipes A and B together can fill the tank?a)Quantity I > Quantity IIb)Quantity I < Quantity IIc)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or relation cannot be determinedCorrect answer is option 'A'. Can you explain this answer?
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Quantity I: A’s present age is 40% more than B’s present age and also 87.5% of C’s present age. After 5 years, C’s age will be 45% more than B’s age. Find the average present age of A, B and C?Quantity II: Inlet pipe A and outlet pipe C together can fill a tank in 33(1/3) minutes. Inlet pipe B and outlet pipe C together can fill the tank in 300 minutes. If ratio of A’s efficiency to B’s efficiency is 3: 1, then in what time (in minutes) pipes A and B together can fill the tank?a)Quantity I > Quantity IIb)Quantity I < Quantity IIc)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or relation cannot be determinedCorrect answer is option 'A'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Quantity I: A’s present age is 40% more than B’s present age and also 87.5% of C’s present age. After 5 years, C’s age will be 45% more than B’s age. Find the average present age of A, B and C?Quantity II: Inlet pipe A and outlet pipe C together can fill a tank in 33(1/3) minutes. Inlet pipe B and outlet pipe C together can fill the tank in 300 minutes. If ratio of A’s efficiency to B’s efficiency is 3: 1, then in what time (in minutes) pipes A and B together can fill the tank?a)Quantity I > Quantity IIb)Quantity I < Quantity IIc)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or relation cannot be determinedCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Quantity I: A’s present age is 40% more than B’s present age and also 87.5% of C’s present age. After 5 years, C’s age will be 45% more than B’s age. Find the average present age of A, B and C?Quantity II: Inlet pipe A and outlet pipe C together can fill a tank in 33(1/3) minutes. Inlet pipe B and outlet pipe C together can fill the tank in 300 minutes. If ratio of A’s efficiency to B’s efficiency is 3: 1, then in what time (in minutes) pipes A and B together can fill the tank?a)Quantity I > Quantity IIb)Quantity I < Quantity IIc)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or relation cannot be determinedCorrect answer is option 'A'. Can you explain this answer?.
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