Q: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
Solution: Given that, working days = 5 working hours = 8 A man get rupess per hour is Rs.2.40 So in one day the man get total rupees is 2.40 x 8 = 19.2 So in 5 days week the man get total rupees is 19.2 x 5 = 96 So in 4 week the man get total rupees is 96 x 4 = 384 So the man worked for = 160hours in 4 weeks But given that the man earned Rs.432 Hence remaning money is (432-384 = 48)which is earn by doing overtime work Overtime hours = 48/3.20 = 15 So total worked hours is = 15 + 160 = 175.
Q: Adam and Smith are working on a project. Adam takes 6 hrs to type 36 pages on a computer, while Smith takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type a project of 120 pages?
Solution: Number of pages typed by Adam in 1 hour = 36/6 = 6 Number of pages typed by Smith in 1 hour = 40/5 = 8Number of pages typed by both in 1 hour = (6 + 8) = 14Time taken by both to type 110 pages = (120 * 1/14) = 847 = 8 hrs 34 min.
Q: A can complete a piece of work in 12 days and B is 60% more efficient than A. In how many days B will complete the same work ?
Solution: Ratio of times taken by A and B = 160 : 100A can do the work in 12 daysLet B can do the work in "D" days=> 160:100 = 12 : D=> D = 12 x 100/160 = 7.5 hrs
Q: M can complete a piece of work in 10 days. N is 33.33% less efficient than M. calculate the number of days required to both to complete the work?
Solution: M = 10 days The ratio of efficiency of M & N are 3 : 2 Hence, the time rquired for N alone = 15 days => Required time taken t=by both to complete the work = M x N / M + N = 10 x 15/ 10 + 15 = 150/25 = 6 days.
Q: A loan of Rs. 305 was taken at a certain rate per annum of compound interest, for 3 years. After 3 years the amount repaid was Rs. 670, calculate the rate of compound interest.
Solution: 30%
Q: What is the characteristic of the logarithm of 0.0000134?
Solution: log (0.0000134). Since there are four zeros between the decimal point and the first significant digit, the characteristic is –5.
Q: A fast-moving superfast express crosses another passenger train in 20 seconds. The speed of the faster train is 72 km/hr and the speed of the slower train is 27 km/h. Also, the length of the faster train is 100m, then find the length of the slower train if they are moving in the same direction.
Solution: Time= (Sum of length of the two trains)/ (Difference in speeds) 20=(100+x)/(25/2) ⇒⇒ X=150m
| You Have Score | /7 |