A manufacturer builds a machine which will address 500 envelopes in 8 minutes. He wishes to build another machine so that when both are operating together they will address 500 envelopes in 2 minutes. The equation used to find how many minutes x it would require the second machine to address 500 envelopes alone, is a. `8-x=2` b. `1/8+1/x=1/2` c. `(500)/8+(500)/x=500` d. `x/2+x/8=1`

5^x. (8^(x-1))^(1/x)=500

A machine is marked at ₹ 7.500. The shopkeeper allows successive discounts of 8%,5% and 2% on it. The net selling price is

Find the ratio of the following:(a) 30 minutes to 1.5 hours (b) 40 cm to 1.5 m(c) 55 paise to Re 1 (d) 500 ml to 2 litres

When 500 calories heat is given to the gas X in an isobaric process, its work done comes out as 142.8 calories . The gas X is

A manufacturer produces two types of soaps using two machines A and B . A is operated for 2 minutes and B for 3 minutes to manufacture first type , while it takes 3 minutes on machine A and 5 minutes on machine B to manufature second type . Each machine can be operated at the most for 8 hours per day . The two types of soap are sold at a profit of Rs 0.25 and Rs 0.05 each respectively . Assuming that the manufactured can sell all the soaps he can manufacture , how many soaps of each type should be manufature per day so as to maximize his profit .

The sum of all positive integral values of a , where a in[1,500] for which the equation [x]^(3)+x-a=0 has a solution is:

Number of ways in which 3 tickets can be selected from a set of 500 tickets numbered 1,2,3...,500 so that the number on them are in arithmetic progression is 500(b)^(500)C_(3)(c)62250 (d) None of these