Question
Quantity I: A can complete a task in 15 days, while B
can do it in 12 days. A worked alone for the first 5 days and then left. B and C together finished the remaining work in 4.8 days. How long will it take C to complete the work on his own? Quantity II: The current age ratio of A to B is 3:2, and the average age of A, B, C, and D is 15 years. B’s age is 2.5 years less than the average of A and B’s ages, and C is older than D. What is C’s current age? In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis.Solution
Answer: D Quantity I: Time taken by A alone to complete the work = 15 days Time taken by B alone to complete the work = 12 days Part of work done by A alone in 1 day = 1/15 So, part of work done by A alone in 5 days = 5/15 = 1/3 Remaining part of work = 2/3 Time taken by B and C together to complete remaining work = 4.8 days So, time taken by B and C together to complete the whole work So, = 4.8 * 3/2 = 7.2 days So, time taken by C alone to complete the whole work = 18 days Quantity II: Let present ages of A and B are ‘3x’ and ‘2x’ respectively. So, [(3x + 2x)/2] – 2x = 2.5 x = 5 Present age of A and B are 15 years and 10 years, respectively. Since, average of present ages of A, B, C and D = 15 years So, (15 + 10 + C + D)/4= 15 C + D = 35 Since, C is older than D. So, present age of C ≥ 18 years. Hence, Quantity I ≤ Quantity II
Consumption Fund, an open-ended scheme that will invest in equity, equity related securities of firms engaged in consumption and consumption related act...
Where did Lord Buddha achieve Parinirvana (pass away)?
Which state recently commemorated Nupi Lal Numit 2024, honoring the courage and resilience of women?
What is the name of the anti-drone system deployed by Punjab to prevent cross-border smuggling?
A funding of $122 million to the top three Indian medical research institutions has recently been announced by which country?
Which country won the title of Asian Hockey Champions Trophy 2023?
Which of the following statement/statements is/are incorrect regarding the Annual Mass Drug Administration (MDA) Campaign launched by the Uttar Pradesh ...
As per the RBI's latest Report on Currency and Finance (RCF), what is projected to be a key factor sustaining the growth in remittances to India, expect...
Consider the following statements about Mohenjo Daro:
1. Archaeologists recently discovered 2000-year-old copper coins in this area.
Pandit Bhajan Sopori has recently died. He used to play which of the following instruments?