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Pipes A and B can fill a tank in 12 h and 18 h, respectively, whereas pipe C can empty the full tank in 8 h. A and B opened for 4124\frac{1}{2} h and then closed. C alone will empty the tank in (in h):

An inlet pipe fills up a cistern in 2 hours, while an outlet pipe empties it in 4 hours. The empty cistern was being filled up with both the pipes open for 1 hour, after which someone closed the outlet. How long will it take in total to fill up the cistern?
Pipes A and B can fill an empty tank in 10 hours and x hours, respectively. Pipe C alone can empty a full tank In 9 hours. When all three pipes are opened together, the tank is filled up completely in 18 hours. What is the value of x?
There are two inlet pipes A and B connected to a tank. A and B can fill the tank in 32 h and 28 h, respectively. If both the pipes are opened alternately for 1 h, starting with A, then in how much time (in hours, to nearest integer) will the tank be filled?
A filling pipe can fill a pot in 40 minutes and wastage pipe can empty the filled pot in 60 minutes. By mistake without closing the wastage pipe, the filling pipe opened. In how much time an empty pot can be filled?
Three taps A, B and C can fill a tank in 10, 18 and 6 hours, respectively. If A is open all the time and B and C are open for one hour each alternatively, starting with B, the tank will be full in:
Tap A can fill a tank in 6 hours and tap B can empty the same tank in 10 hours. If both taps are opened together, then how much time (in hours) will be taken to fill the tank?
A pipe can fill a cistern in 20 minutes whereas the cistern when full can be emptied by a leak in 28 minutes. When both are opened, The time taken to fill the cistern is:
If two pipes function simultaneously, a tank is filled in 12 hours. One pipe fills the tank 10 hours faster than the other. How many hours does the faster pipe alone take to fill the tank?
Two pipes A and B can fill a tank in 12 hours and 18 hours, respectively. Both pipes are opened simultaneously. In how much time will the empty tank be filled completely ?
Pipes A and B can fill a tank in 16 hours and 24 hours, respectively, whereas pipe C can empty the full tank in 40 hours. All three pipes are opened together, but pipe C is closed after 10 hours. After how many hours will the remaining part of the tank be filled ?

A pump can fill a tank with water in 1 hour. Because of a leak, it took 1131\frac{1}{3} hours to fill the tank. In how many hours can the leak alone drain all the water of the tank when it is full?

Two pipes A and B can fill a tank in 15 hours and 18 hours, respectively. Both pipes are opened simultaneously to fill the tank. In how many hours will the empty tank be filled?
Pipes A and B can fill a tank in 16 hours and 24 hours, respectively, whereas pipe C can empty the full tank in 40 hours. All three pipes are opened together, but pipe A is closed after 10 hours. After how many hours will the remaining part of the tank be filled?
Pipes A, B and C can fill a tank in 15, 30 and 40 hours, respectively. Pipes A, B and C are opened at 6 a.m., 8 a.m. and 10 a.m., respectively, on the same day. When will the tank be full?
Three pipes can fill a tank in 15 hours, 12 hours and 10 hours, respectively. If all the three pipes are opened simultaneously for 3 hours, then what percentage of the tank will remain unfilled?
Pipes A and B can fill a tank in 18 minutes and 27 minutes, respectively. C is an outlet pipe. When A, B and C are opened together, the empty tank is completely filled in 54 minutes. Pipe C alone can empty the full tank in:
Two pipes can fill a tank in 15 hours and 4 hours, respectively, while a third pipe can empty it in 12 hours. How long (in hours) will it take to fill the empty tank if all the three pipes are opened simultaneously?

[5          2+i        3i2i    3         1i3i         1+i             0]\begin{bmatrix} 5 \ \ \ \ \ \ \ \ \ \ 2+i \ \ \ \ \ \ \ \ -3i\\ 2-i\ \ \ \ -3 \ \ \ \ \ \ \ \ \ 1-i\\ 3i \ \ \ \ \ \ \ \ \ 1+i \ \ \ \ \ \ \ \ \ \ \ \ \ 0 \end{bmatrix} ഏത് തരം മാട്രിക്സ് ആണ് ?

10 ലക്ഷം രൂപ മുതൽമുടക്കിൽ ഒരു ട്രേഡിംഗ് സ്ഥാപനം ആരംഭിച്ചു. 4 മാസത്തിന് ശേഷം ബി 15 ലക്ഷം രൂപ നിക്ഷേപിച്ച് ബിസിനസിൽ ചേർന്നു, 2 മാസത്തിന് ശേഷം ബി ചേർന്നപ്പോൾ സിയും 20 ലക്ഷം രൂപ നിക്ഷേപിച്ച് അവരോടൊപ്പം ചേർന്നു. എ ബിസിനസ് ആരംഭിച്ച് ഒരു വർഷത്തിനുശേഷം അവർ 6,00,000 രൂപ ലാഭം നേടി. ലാഭത്തിൽ സിയുടെ വിഹിതം (രൂപയിൽ) എന്താണ്?
എയും ബിയും 2: 5 എന്ന അനുപാതത്തിൽ ഒരു പങ്കാളിത്ത ബിസിനസ്സ് ആരംഭിച്ചു. B യുടെ 4/5 ന് തുല്യമായ തുക ഉപയോഗിച്ച് 3 മാസത്തിനുശേഷം C അവരോടൊപ്പം ചേർന്നു. എയ്ക്ക് 16,800 രൂപ ഓഹരിയായി ലഭിച്ചാൽ വർഷാവസാനം അവരുടെ ലാഭം (രൂപയിൽ) എത്രയായിരുന്നു?
P, Q, R എന്നീ മൂന്ന് വ്യക്തികൾക്ക് 8750 രൂപ വിതരണം ചെയ്യണം. P യും R ഉം ഒരുമിച്ച് സ്വീകരിക്കുന്നതിന്റെ (1/4) P-യും R-യും ഒരുമിച്ച് സ്വീകരിക്കുന്നതിന്റെ (2/5) P-യ്ക്ക് ലഭിക്കുന്നു. തുടർന്ന്, P തുക (രൂപയിൽ) സ്വീകരിക്കുന്നു
36 നും 121 നും ഇടയിലുള്ള ശരാശരി അനുപാതം ഇനിപ്പറയുന്നവയ്ക്ക് തുല്യമാണ്:

A=[3i            1+i            71+i        0        2i7            2i         i];A=?A= \begin{bmatrix} 3i \ \ \ \ \ \ \ \ \ \ \ \ 1+i \ \ \ \ \ \ \ \ \ \ \ \ 7 \\ -1+i \ \ \ \ \ \ \ \ 0 \ \ \ \ \ \ \ \ -2-i\\ -7 \ \ \ \ \ \ \ \ \ \ \ \ 2-i \ \ \ \ \ \ \ \ \ -i \end{bmatrix} ; A^* = ?

ഒരു സമചതുര മാട്രിക്സ് A വിഷമ ഹെർമിഷ്യൻ ആകണമെങ്കിൽ
A, B and C together invests Rs. 53,000 in a business. A invests Rs. 5,000 more than B and B invests Rs. 6,000 more than C. Out of a total profit of Rs. 31,800, find the share of A.
A, B and C started a business investing amounts of Rs. 13,750, Rs. 16,250 and Rs. 18,750 respectively. lf B's share in the profit earned by them is Rs. 5,200. what is the difference in the profit (in Rs.) earned by A and C ?
A, B, C subscribe a sum of Rs. 75,500 for a business. A subscribes Rs. 3,500 more than B, and B subscribes Rs. 4,500 more than C. Out of a total profit of Rs. 45,300, how much (in Rs.) does A receive?
A and B started a business investing amounts of Rs. 92,500 and Rs. 1,12,500 respectively. If B's share in the profit earned by them is Rs. 9,000, what is the total profit (in Rs.) earned by them together?
Three partners shared the profit in a business in the ratio 8 : 7 : 5. They invested their capitals for 7 months, 8 months and 14 months, respectively. What was the ratio of their capitals?
3 friends A, B and C are working in a company. The salary of A is Rs. 45000 per month. C's monthly salary is 3/5 of B's monthly salary. B's monthly salary is double of A's monthly salary. What is the total salary of A, B and C per month ?
Three partners A, B, and C divide Rs. 2,21,000 amongst themselves in such a way that if Rs. 2,000, Rs. 3,000, and Rs. 4,000 are removed from the sums that A, B, and C received, respectively, then the share of the sums that they will get are in the ratio 11:18:24. How much (in Rs.) did B receive?
A started a trading firm by investing Rs. 10 lakhs. After 4 months, B joined the business by investing Rs. 15 lakhs then 2 months after when B joined, C also joined them by investing Rs. 20 lakhs. 1 year after A started the business they made Rs. 6,00,000 in profit. What is C's share of the profit (in Rs.)?
A and B started a partnership business investing in the ratio of 2 : 5. C joined them after 3 months with an amount equal to 4/5th of B. What was their profit (in Rs.) at the end of the year if A got Rs. 16,800 as his share?
ഒരു സമചതുര മാട്രിക്സ് A ഹെർമിഷ്യൻ ആകണമെങ്കിൽ
Find the simplified value of the expression 0.4×0.4+0.04×0.040.8×0.040.72\frac{0.4\times 0.4+0.04\times 0.04-0.8\times 0.04}{0.72}
A person can complete a journey in 11 hours. He covers the first one-third part of the journey at the rate of 36 km/h and the remaining distance at the rate of 60 km/h. What is the total distance of his journey (in km)?
A sum, when invested at 10% simple interest per annum, amounts to ₹2640 after 2 years. What is the simple interest (in ₹) on the same sum at the same rate of interest in 2 years?
An Uber auto covers a distance of 649 km in 59 hours. What is its speed in km/h?
What is the greatest number that when divides 718, 1085 and 1179 leaves remainders 5, 4 and 6, respectively?
If the distance between A and B is 1409 Km. From A, Vishal goes to B with speed 71 km/h and return to A with the speed 39 km/h. Find the average speed of Vishal.(rounded off to two decimal place)
The average age of 10 members of a family is 34 years. If the youngest member is 7 years old, what was the average age (in years) of the family members just before the birth of the youngest member?
The sum of five numbers is 655. The average of the first two numbers is 78 and the third number is 117. Find the average of the remaining two numbers?
A number when increased by 40 %', gives 3570. The number is:

6×17÷37+(452423+76×27)=6\times\frac17\div\frac37+(\frac{45}{24}-\frac23+\frac76\times\frac27)=

Find the surface area of a sphere whose diameter is equal to 24 cm.
A trader purchases a gadget for ₹2,000 and sells it at a profit of 25%. He then purchases a second gadget for ₹2,400 and sells it at a loss of 10%. What is the overall profit or loss (in ₹) from both transactions?
The sum of 10 numbers is 408. Find their average.
The average of first 134 even numbers is
Lalit and Manoj started a business in partnership investing ₹10,000 and ₹18,000, respectively. After eight months, Nitin joined them by investing ₹24,000. What will be the total share of Nitin and Manoj in the total profit of ₹22,000 earned at the end of 2 years from the starting of the business?