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If 15 farmers can cultivate 18 bighas of...

If 15 farmers can cultivate 18 bighas of land in 5 days, then calculate by using thoery of variation the number of days required by 10 farmers to cultivate 12 bigas of land.

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If 15 farmers can cultivate 18 bighas of land in 5 days, determine by using theory of variation the number of days required by 10 farmers to cultivate 12 bighas of land .

If 5 men can cultivate 10 acres of land in 9 days,then by usnig theory of variation, find the number of days required to cultivate 30 acres of land by 25 men .

15 men can cultivate 18 bighas of land in 5 days. By using theory of variation, determine the number of bighas to be cultivated by 10 men in 10 days.

If 5 men can cultivate om 10 bighas of land in 9 days, calculate by theory of variation how long will be taken by 25 men for cultivating 30 bighas of land.

2 men can cultivate 6 acres of land in 4 days . By using theory of variation , find the number of men required to cultivate 18 acres of land in 8 days.

An agricultural co-operative society of village Pachla has purchased a tractor. Previously 2400 bighas of land were cultivated by 25 ploughs in 36 days. Now half of th land can be cultivated only by that tractor in 30 days. Calculate by using the theory of variation the number of ploughs work equally with one tractor.

50 villages had taken 18 days to dig a pond . Calculate by using theory of variation how many extra persons will be required to dig the pond in 15 days.

4 tractors are required to cultivate 360 bighas of land in 20 days, Let us find, how many tractors are needed to cultivate 1800 bighas of land in 10 days.

25 farmers take 12 days to plough 15 bighas of land. Then let's find, how many bighas of land can be ploughed by 30 farmers in 16 days.

(Manufacturing problem): A manufacturer has three machines. I, II and III installed in his factory. Machines I and II are capable of being operated for at most 12 hours whereas machine III must be operated for atleast 5 hours a day. She produces only two items M and N each requiring the sue of all the three machines. The number of hours required for producing 1 unit of each of M and N on the three machies are given in the follownig table: She makes a profit of Rs. 600 and Rs. 400 on items M and N respectively. How many of each item should be produce so as to maximise her profit assuming that she can sell all the items that she produced? What will be the maximum profit?

UNITED BOOK HOUSE-JHOWDANGA SAMMILANI HIGH SCHOOL-EXERCISE
  1. Solve: a/(x-b)+b/(x-a) = 2(x!=b,a)

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  2. If x=(sqrt3+1)/(sqrt3-1) and xy=1 then find the value of (3x^2+5xy+3y^...

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  3. If 15 farmers can cultivate 18 bighas of land in 5 days, then calculat...

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  4. If a^2/(b+c)=b^2/(c+a)=c^2/(a+b)=1, show that 1/(1+a)+1/(1+b)+1/(1+c)=...

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  5. If the 1st and 2nd of the five numbers in continued proportion are 2 a...

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  6. Prove that opposite angles of a cyclic quadrilateral are supplementary

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  7. State and prove Pythagoras theorem.

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  8. N is the foot of the perpendicular form P to the diameter AB of the ci...

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  9. Two chords AB and CD of a cricle with centre O intersect at P. Prove t...

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  10. Draw a right angled triangle whose adjacent sides of the right angle a...

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  11. Geometrically find the value of 2sqrt7. (Only traces f construction a...

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  12. If the sum of two angles is 135^@ and their difference is Pi/2, then d...

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  13. If costheta= x/sqrt(x^2+y^2) show that x sin theta = y cos theta.

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  14. Find the value of cos^2 30^@-2cos^2 60^@-4sin^2 45^@+tan45^@.

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  15. Two towers are situated at a distance of 150 metre and the height of o...

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  16. From a point on the horizontal line through the foot of a chimney the ...

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  17. There were 800 lit . 735 lit. and 575 lit. Kerosine oil in three Keros...

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  18. There is come water in a cylindrical pot whose base diameter is 12 cm ...

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  19. A right circular cylindrical tank of 9 metre height is filled with wat...

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  20. Find the mean of the following data .

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