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A sheet of paper is cut into three pieces in certain way. Length of first piece of paper is equal to average of three single digit odd prime numbers while length of second piece is equal to the sum of length of first piece and one-third the length of third piece. Length of third piece is equal to the sum of lengths of first and second pieces. Find the length of original sheet.
A lapidary breaks a stone into three pieces. The weight of the first piece is thrice that of the second piece and the weight of the third piece is twice that of the second piece. If the initial weight of the stone was 18 grams. What is the weight of the heaviest piece?
Which of the following statements are true/false?
1. A minimum rate of wages for the time spent by employees for the production of output is minimum time rate.
2. Minimum piece rate is the rate based on the quantity of the output employees have produced.
3. The guaranteed time rate is a minimum rate of remuneration to apply in the case of employees employed on piece work for the purpose of securing to such employees a minimum rate of wages on a time work basis.
4. A minimum rate of remuneration to apply in the case of employees employed on piece work for the purpose of securing to such employees a minimum rate of wages on a time work basis is overtime rate.
Wages of the workers are normally, the proportionality derived from their efficiency. But the concept of efficiency of labour is itself vague such as amount of physical output, output per man hour or output per man shift. But output is not the function of man alone. There are other factors which affect the output. Which among the following is/are not the factor(s) that would affect the output directly?
1. Physical condition of work
2. Nature of machinery
3. Technical process
4. Quality of raw material
5. System of management
6. Role of fellow workers
7. Competitors in the market
To produce a component, any of the four processes can be adopted. Process A: Fixed cost = Rs. 20, Variable cost/piece = Rs. 4 Process B: Fixed cost = Rs. 50, Variable cost/piece = Rs. 3 Process C: Fixed cost = Rs. 60, Variable cost/piece = Rs. 2 Process D: Fixed cost = Rs. 70, Variable cost/piece = Rs. 1 Which of the following process is the most economical to produce 100 pieces in a batch?
Which of the following variations are true in piece part production? 1. Piece-to-piece variation 2. Time-to-time variation 3. Within-piece variation 4. Process-to-process variation
‘P’ taken 16 days to finish a piece of work. ‘Q’ takes 24 days to finish the same piece of work.  'R' takes 48 days to finish the same piece of work. How many days will all three of them together take to finish the same piece of work?
K and L can complete a piece of work together in 15 days. K starts working and works for 10 days to complete two-fifth piece of work. L completes the remaining piece of work. The per-day wages paid to L  is Rs. 200. How much does L earn from completion of the remaining piece of work?
A alone can do a piece of work in 10 days, A and B together can do the same piece of work in 20/3 days. A, B and C together can do the same piece of work in 40/7 days. In how many days can B and C together do the same piece of work?
Parth had the cylindrical iron piece. He drilled out a conical cavity from the iron piece. The height and radius of the conical cavity is 15 cm and 8 cm respectively which is equal to the eight and radius of cylindrical iron piece. Find the total surface area of the remaining cylindrical iron piece.