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A tank with rectangular base and rectangular sides, open at the top is to be constructed so that its depth is  2m and volume is 8 m3 . If building of tank casts Rs. 70 per sq. metre for the base and Rs. 45 per sq. metre for sides, what is the cost of least expensive tank?

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A tank with rectangular base and rectangular sides,open at the top is to be constructed so that its depth is 2m and volume is 8m3. If building of tank costs Rs 70 per square metre for the base and Rs 45 per square metre for sides,what is the cost of least expensive tank?

A tank with rectangular base and rectangular sides open at the top is to be constructed so that its depth is 3m and volume is 75m3. If building of tank costs Rs.100 per square metre for the base and Rs.50per square metres for the sides,find the cost of least expensive tank.

Find the cost of cultivating a rectangular field 34 m long and 18 m wide at Rs. 4.50 per sq. metre. Also, find the cost of fencing the field at Rs. 2.25 per metre.

Find the cost of fencing a rectangular field 62 m long and 33m wide at Rs 16 per metre.

Find the cost of fencing a rectangular lawn at 3.50 per metre, if its area is 2160 m^2 and the sides are in the ratio of 5:3

One side of a square plot is 250m, find the cost of levelling it at the rate of Rs.2 per square metre.

Find the cost of cultivating a rectangular field 80 m long and 35 m wide at Rs 15 per square metre. Also, find the cost of fencing the field at Rs 24 per metre.

The volume of a closed square based rectangular box is 1000 cubic metre. The cost of constructing the base is 15 paise per square metre and the cost of constructing the top is 25 paise per square metre. The cost of constructing its sides is 20 paise per square metre and the cost of constructing the box is Rs. 3.Find the dimensions of box for minimum cost of construction.

Water tank is made of iron sheet. Its dimensions are 4m times 3m times 2m .Find the cost of painting the inside of the tank at the rate of Rs 7 per square metre

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Evaluate : int(6x+7)/(sqrt((x-5)(x-4)))\ dx

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  2. Evaluate: intsinxsin2xsin3x dx

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  3. A tank with rectangular base and rectangular sides, open at the top...

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  4. Find the volume of the larges cylinder that can be inscribed in a s...

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  5. If [(2,3),(5,7)] [(1,-3),(-2,4)]=[(-4,6),(-9,x)], write the value of x

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  6. If y=e^a cos^((-1)x)\ ,\ -1\ lt=xlt=1, show that (1-x^2)(d^2y)/(dx^2)-...

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  7. If x\ sqrt(1+y)+y\ sqrt(1+x\ )\ 0,\ -1<x<1,\ x!=y , then prove that...

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  8. Show that the relation R in the set A = {1, 2, 3, 4, 5} given by R = {...

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  9. Evaluate: int2^3 1/x\ dx

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  10. Three bags contain balls as shown in the table below: Bag Numb...

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  11. A diet is to contain at least 80 units of Vitamin A and 100 units o...

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  12. Using matrices, solve the following system of equations: 2x-3y+5z=11...

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  13. Find the equation of the plane passing through the point (-1,3,2) and ...

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  14. Using the method of integration find the area of the region bounded b...

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  15. Show that: tan(1/2sin^(-1)(3/4))=(4-sqrt(7))/3

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  16. Find the probability of throwing at most 2 sixes in 6 throws of a s...

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  17. Find the equation of the plane passing through the point (1, 3, 2) ...

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  18. A window is in the form of a rectangle surmounted by a semi-circula...

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  19. Using the method of integration, find the area of the region bounde...

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  20. Find the mean number of heads in three tosses of a fair coin.

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