Question
Which of the following equations represents the number
of day in which A and C working together can finish the same work? In the following coded arithmetic questions certain symbols are used with the following meaning: I. P @ Q means add P to Q. II. P # Q means subtract Q from P. III. P $ Q means multiply P with Q. IV. P ^ Q means divide P by Q. Now study the given information and answer the questions following it. Three persons A, B and C complete a work in 40 days. B and C together are 5/4 times as efficient as A and B together. On the other hand, A and C together are 7/5 times as efficient as B and C together.Solution
Combined ratio of efficiency of (A + B), (B + C) and (A + C) is: A + B B + C A + C 4 5 5 7 -------------------------------------------------- 4k : 5k : 7k (Where K is a constant) A + B + B + C + A + C = 2(A + B + C) and 2(A + B + C) = 16k A + B + C = 8 k Note that combined efficiency of (A + B + C) is twice of the efficiency of (A + B). [Since, 8 = 4 × 2] Therefore, A and B working together will finish the work in (40 × 8)/4 days (40 × (12-4))/4 days 40 $ (12 # 4) ^ 4 days Similarly, B and C working together will finish the work in (40 × 8)/5 days (40 × (4+4))/5 Days 40 $ (4 @ 4) ^ 5 days Similarly, A and C working together will finish the work in (40 × 8)/7days (40 × (12-4))/7 Days 40 $ (12 @ 4) ^ 7 days Again, time required to finish the work by A alone (64 ×40)/ (64-40) Days 64 $ 40 ^ (64 # 40) days Since, B and C working together finish the work in 64 days while A, B and C working together finish the work in 40 days.
Which of the following company has recently announced that it will be investing Rs 2,000 crore for setting up a large hyperscale data centre in Hyderabad?
What is the main purpose of the agreement between NSDC International and We One, a subsidiary of DP World?Â
Prime Minister Modi laid the foundation stone and dedicated various National Highway and Road projects to the nation in the temple town of Pandharpur in...
Article 148 of the Constitution of India provides for an independent office of the_______.
Which state's tourism board has partnered with Starscapes for the Nakshatra Sabha initiative?
Which award did Kiran Mazumdar-Shaw receive for her contributions to biosciences?
Which initiative provides real-time updates on Ease of Doing Business?
Which of the following states has recently been rated as the leading state on various parameters of MGNREGA?
HDFC Bank inaugurated its first branch in which country in October 2024?
Which of the following statements about Mumbai and Delhi being among the world's wealthiest cities are correct?
A) Mumbai ranks 24th and Delhi ra...