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Recent questions tagged 2005

Find the Cartesian as well as the vector equation of the plants passing through the intersection of the plants $\overset \rightharpoonup {r}. (2 \hat{i} + 6 \hat{j}) + 12 = 0$ and $\overset \rightharpoonup {r}. (3 \hat{i} - \hat{j} + 4 \hat{k}) = 0$. Which are at unit distance from the origin?

asked Jan 24, 2013 by fingeazy

0 answers

Solve the following linear programming problem graphically: Maximize z = 60 + 15y Subject to constraints $$x + y \le 50$$ $$3x + y \le 90$$ $$x , y \ge 0 $$

asked Jan 24, 2013 by fingeazy

0 answers

Two tailors A and B earn Rs.150 and Rs.200 per day respectively. A can stitch 6 shirts and 4 plants per day while B can stitch 10 shirts and 4 pants per day. Form a linear programming problem to minimize the labour cost to produce at lest 60 shirts and 32 pants.

asked Jan 24, 2013 by fingeazy

0 answers

A company has two plants to manufacture motor cycled. 70% motor cycles are manufactured at the first plant, while 30% are manufactured at the second plant. At the first plant, 80% motor cycles are rated of the standard quality while at the second plant, 90% are rated of standard quality. A motor cycle, randomly picked up, is found to be of standard quality. Find the probability that it has come out from the second plant.

asked Jan 24, 2013 by fingeazy

1 answer

The probability that student entering a university will graduate is 0.4. Find the probability that out of 3 students of the university: • None will graduate, • Only one will graduate, • All will graduate.

asked Jan 24, 2013 by fingeazy

1 answer

In a book of 200 pages, 200 misprints are randomly distributed. Using Poisson's distribution calculate the probability that a randomly observed page of the book will be found to have atlest 3 errors. [Use: e -1 =0.3679]

asked Jan 24, 2013 by fingeazy

0 answers

A, B and C are engaged in a printing business. A being the working partner, receives 10% of the net profit as salary. The remaining profit is divided among themselves in the ratio 4:5:9. If A gets in total Rs. 3,00,000, find the total profit in the business and the shares of B and C in it.

asked Jan 24, 2013 by fingeazy

1 answer

A and B are partners in a business sharing profits and losses equality. They admit a new partner C and it is agreed that now the profit and losses will be shared amongst A, B and C in the ratio 9 : 8 : 7 respectively. If C paid Rs. 2.10 lakh as premium for the good will, find the shares of A and B in the premium.

asked Jan 24, 2013 by fingeazy

0 answers

Find the present worth of an ordinary annuity of Rs. 1,200 per annum for 10 years at 12% per annum, compounded annually. [Use (1.12) -10 =0.3221]

asked Jan 24, 2013 by fingeazy

1 answer

A calculator manufacturing company finds that the daily cost of producing calculators is given by C(x) = 200x + 7500. • If each calculator is sold for Rs. 350, find the minimum number of calculators that must be produced daily and sold to ensure no loss. • If the selling price is increased by Rs. 150, what would be the break-even point?

asked Jan 24, 2013 by fingeazy

1 answer

A bill was drawn on April 4, 2004 at 8 months after date and was discounted on July 14, 2004 at 5% per annum. If the Banker's gain is Rs.200, find the face value of the bill.

asked Jan 24, 2013 by fingeazy

0 answers

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