Two players: Player A and Player B are playing a game by rolling a dice. They decided that the player who will get the higher total will be the winner. In total they rolled the dice three times and the observations were recorded as follows: Answer the following questions on the basis of the information given above: a) Who is winner of the game. b) Represent the above information as numerical inequality.
Prakash, Sachin and Anil started a business jointly investing 11 lakh, 16.5 lakh and 8.25 lakh respectively. The profit earned by them in the business at the end of 3 years was 19.5 lakh. What will be 50% of Anil's share in the profit?
A and B start a trading business with a capital of ₹ 30000 and ₹ 60000 respectively. From the profit of entire year which is ₹ 18000, A gets ₹ 8500 as his share of profit and salary for managing the business. What is the amount that A receives as his salary?
Priya started a tiffin service business by investing 40000. After 4 months her friend Rekha joined her business and invested 50000 in it. What will be the share of Rekha in the profit if they earn220000 as profit in the entire year?
A runs 3 times as fast as B. If A gives B a start of 40metres, how far must the goal on the race course be so that A and B reach the goal at the same time?
A cistern can be filled in 8 hours but due to a leakage in its bottom, it takes 2 hours more to fill the tank. If the cistern is full, how much time will the leakage take to empty it?
A cistern can be filled by pipes A and B in 4 hours and 6 hours respectively. When full, the cistern can be emptied by pipe C in 8 hours. If all the pipes were turned on at the same time, in how much time will the cistern be filled?
A pipe can fill a cistern in 6 hours. Due to a leakage in the tank the cistern is just full in 9 hours. How much time the leakage will take to empty the tank?
A man can row 7 km per hour in still water. If the stream is flowing at the rate of 5 km per hour, it takes him 7 hours to row to a place and return, how far is the place?
The speed of a boat in still water is 14 km per hour. While going downstream it moves at the rate of 24 km per hour. Find the speed of the boat against the stream.
Cost of two types of pulses is ₹ 55 per kg and ₹ 90 per kg . If both the pulses are mixed together in the ratio $2: 3$, what should be the price of the mixed variety of pulses per kg ?
A container contains $70 /$ of orange squash. The squash being too concentrated $7 /$ of squash was taken out from this container and replaced by water. This process was repeated thrice to reduce the concentration of squash. How much quantity of orange squash is left in the container?
The average salary per head of the entire staff of a small factory including the supervisor and labours is ₹ 5750 . The average salary per head of the supervisor is ₹ 20,000 and that of the labours is ₹ 5000 . Find the number of labours in the factory if there are 4 supervisors.
There are 81 boxes with 21 articles in each. When we rearrange all of the articles so that each
box has 5 articles, how many articles will be left out without a box.
What time will it be after 1250 hours, If the present time is 9:00 pm?
Answer
Number of hours in a day $=24$ hours $ 1250(\bmod 24)=2 \quad \text { (as } 1250 \text { hours }=52 \text { days }+2 \text { hours }) $ Therefore, it will be $11: 00 pm$ after 1250 hours.
Consider the below processes available in the ready queue for execution, with arrival time as 0 for all and given burst time. Find the average waiting time using the SJF scheduling algorithm.
Answer
In SJF, the shortest process is executed first, the GANTT chart for given process is
The processes P1, P2, P3, P4 given in the table below, arrives for execution in the same order, with Arrival Time 0, and given Burst Time. Find the average waiting time using the FCFS scheduling algorithm.
Divide a net profit of 21000 among three partners A,B,C in a business whose capital investments were 36000, 42000 and 48000 respective
Answer
on: Ratio of the capitals is 36000:42000:48000 or 6:7:8 The profit is divided in the ratio of capitals, there A's share ₹ $\frac{21000 \times 6}{21}=$ ₹ 6000 B's share ₹$\frac{21000 \times 6}{21}=$ ₹ 7000 C's share ₹$\frac{21000 \times 8}{21}=$ ₹ 8000
P,Q and R jointly invested a total of 64000 in a business. P invested 6000 more than Q and Q invested 5000 more than R. Find the ratio of their capital?
Answer
Let the investment of $R$ is ₹ $x$, then the investment of $Q$ and $P$ is ₹ $(x+5000)$ and $₹(x+11000)$ respectively. According to the question, $ \begin{array}{l} x+x+5000+x+11000=64000 \\ 3 x=48000 \\ x=16000 \end{array} $ The ratio of the capitals of $P, Q$ and $R$ is 27000:21000:16000 or 27:21:16