Instructions

For the following questions answer them individually

Question 41

A company has a job to prepare certain number cans and there are three machines A, B and C for this job. A can complete the job in 3 days, B can complete the job in 4 days, and C can complete the job in 6 days. How many days will the company take to complete the job if all the machines are used simultaneously?

Question 42

$$n^3$$ is odd. Which of the following statement(s) is/are true?

I. $$n$$ is odd.

II.$$n^2$$ is odd.

III.$$n^2$$ is even.

Instructions

Answer the questions based on the following information. Production pattern for number of units (in cubic feet) per day.

The finished goods are to be transported to the market by a truck having a capacity of 2000 cubic feet. Any finished goods (ready at the end of the day) retained overnight at the factory will incur a storage cost of Rs 5 per cubic foot for each night of storage. The hiring cost for the truck is Rs 1000 per day.

Question 43

If all the units should be sent to the market, then on which days should the trucks be hired to minimize the cost?

Question 44

If the storage cost is reduced to Re 0.80 per cubic feet per day, then on which day(s), should the truck be hired?

Instructions

For the following questions answer them individually

Question 45

One bacterium splits into eight bacteria of the next generation. But due to environmental condition only 50% survives and remaining 50% dies. If the seventh generation number is 4,096 million, what is the number in first generation?

Question 46

Three circles, each of radius 20, have centres at P, Q and R. Further, AB = 5, CD = 10 and EF = 12. What is the perimeter of ΔPQR ?

Instructions

Answer the questions based on the following information. The following operations are defined for real numbers.

a # b=a + b, if a and b both are positive else a # b=1

a $$\triangledown$$ b=$$(a \times b)^{a+b}$$ if $$a\times\ b$$ is positive else a $$\triangledown$$b=1.

Instructions

For the following questions answer them individually

Question 50

Five-digit numbers are formed using only 0, 1, 2, 3, 4 exactly once. What is the difference between the maximum and minimum number that can be formed?

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