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150 workers were engaged to finish a job...

150 workers were engaged to finish a job in a certain number of days. 4 workers dropped out on second day, 4 more workers dropped out on third day and so on.

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25 days
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150 workers were engaged to finish a piece of work in a certain number of days. Four workers dropped from the work on the second day. Four workers dropped on third day and so on. It took 8 more days to finish the work. Find the number of days in which the work was completed. [Let the no.of days to finish the work is 'r' then 150 x = (x+8)/2 [2 xx 150 + (x+8-1)(-4)]

A contract on construction job specifies a penalty for delay of completion beyond a certain date as follows : Rs 200 for the first day . Rs 250 for the second day , Rs 300 for the third day , etc. the penalty for each succeeding day being Rs50 more than for the preceding day. How much money the contractor has to pay as penalty , if the has delayed the work by 30 days?

A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs 90, find the number of articles produced and the cost of each article.

A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs. 90. find the number of articles produced and the cost of each article.

In a workshop, there are five machines and the probability of any one of them to be out of service on a day is (1)/(4) . If the probability that at most two machines will be out of service on the same day is ((3)/(4))^(3)k then k is equal to :

(A)John and Jivanti together have 45 marbles, Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with. (2) A cottage industry produces a cartain number of toys in a day. The cost of production of each toy (in rupee) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was Rs.750. We would like to find out the number of toys produced on that day.

A class teacher has the following attendence record of 40 students of a class for the whole term. Find the mean number of days a student was present out of 56 days in the term.

Formulate the following problems as a pair of equations and hence find their solutions: 2 women and 5 men can together finish an embroidery work in 4 days, while 3 women and 6 men can finish it in 3 days. Find the time taken by 1 woman alone to finish the work, and also that taken by 1 man alone.

NCERT GUJARATI-SEQUENCES AND SERIES-Miscellaneous Exercise On Chapter 9
  1. The sum of the first four terms of an A.P. is 56. The sum of the last ...

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  2. If (a+bx)/(a-bx)=(b-cx)/(b-cx)=(c+dx)/(c-dx)( x ne 0) then show that ...

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  3. Let S be the sum, P the product and R the sum of reciprocals of n term...

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  4. The p^(th), q^(th) and r^(th) terms of an A.P. are a, b, c, respectiv...

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  5. If a(1/b+1/c),b(1/c+1/a),c(1/a+1/b) are in A.P., prove that a,b,c are...

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  6. If a, b, c, d are in G.P, prove that (a^n + b^n), (b^n + c^n), (c^n +...

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  7. If a and b are the roots of x^2 – 3x + p = 0 and c, d are roots of x^...

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  8. The ratio of the A.M. and G.M. of two positive numbers a and b, is m :...

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  9. If a, b, c are in A.P., b, c, d are in G.P. and 1/c,1/d,1/e are in A.P...

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  10. Find the sum of the following series up to n terms: (i) 5+55+555+......

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  11. Find the 20^(th) term of the series 2 xx 4 + 4 xx 6 + 6 xx 8 + ... + ...

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  12. Find the sum of the first n terms of the series: 3+ 7 +13 +21 +31 +......

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  13. If S1, S2, S3 are the sum of first n natural numbers, their squares a...

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  14. Find the sum of the following series up to n terms: 1^3/1+(1^3+2^3)/...

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  15. A farmer buys a used tractor for Rs 12000. He pays Rs 6000 cash and ag...

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  16. Shamshad Ali buys a scooter for Rs 22000. He pays Rs 4000 cash and agr...

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  17. A person writes a letter to four of his friends. He asks each one of t...

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  18. A man deposited Rs 10000 in a bank at the rate of 5% simple interest a...

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  19. A manufacturer reckons that the value of a machine, which costs him Rs...

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  20. 150 workers were engaged to finish a job in a certain number of days. ...

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