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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:
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 ?

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)?
An Uber auto covers a distance of 649 km in 59 hours. What is its speed in km/h?
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)
A number when increased by 40 %', gives 3570. The number is:
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Find the surface area of a sphere whose diameter is equal to 24 cm.
The sum of 10 numbers is 408. Find their average.
The average of first 134 even numbers is
The value of 256+0.01214.41\sqrt{256}+\sqrt{0.0121}-\sqrt{4.41}
A city has a population of 10,000 people and population grows at a rate of 10% per annum. What will be the population in 3 years?
If 4 , 31 , 92 , and y are in proportion, then the value of y is:
What is the largest 5-digit number exactly divisible by 999?
Evaluate: 41 - [21 - {11 - (15 - 5 ÷ 2 × 2)}]
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Ramesh's luggage bag initially weighed 15 kg when he started his tour. By the time of his departure, the weight of his bag had increased to 18 kg. Calculate the percentage increase in the weight of the luggage.
Find the LCM of 84, 126 and 210
A യും B യും ഒരുമിച്ച് 40 ദിവസത്തിനുള്ളിൽ ഒരു ജോലി ചെയ്യുന്നു. B യും C യും ഒരുമിച്ച് 25 ദിവസത്തിനുള്ളിൽ ചെയ്യുന്നു. എയും ബിയും ഒരുമിച്ച് ജോലി ചെയ്യാൻ തുടങ്ങി, എ 6 ദിവസത്തിന് ശേഷം ജോലി ഉപേക്ഷിച്ചു, ബി 8 ദിവസത്തിന് ശേഷം ജോലി ഉപേക്ഷിച്ചു. A പോയതിനു ശേഷം, C ജോലിയിൽ ചേരുകയും C 40.5 ദിവസത്തിനുള്ളിൽ ജോലി പൂർത്തിയാക്കുകയും ചെയ്തു, C-യ്ക്ക് മാത്രം എത്ര ദിവസത്തിനുള്ളിൽ ജോലി പൂർത്തിയാക്കാൻ കഴിയും?
ഒരു കമ്പ്യൂട്ടർ ഗെയിമിൽ, ഒരു ബിൽഡറിന് 20 മണിക്കൂറിനുള്ളിൽ ഒരു മതിൽ നിർമ്മിക്കാൻ കഴിയും, ഒരു ഡിസ്ട്രോയറിന് 40 മണിക്കൂറിനുള്ളിൽ അത്തരമൊരു മതിൽ പൂർണ്ണമായും തകർക്കാൻ കഴിയും. തുടക്കത്തിൽ, ബിൽഡറും ഡിസ്ട്രോയറും ഒരു അടിസ്ഥാന തലത്തിൽ ഒരുമിച്ച് പ്രവർത്തിക്കാൻ തയ്യാറായിരുന്നു. എന്നാൽ 30 മണിക്കൂറിന് ശേഷം ഡിസ്ട്രോയർ പിൻവലിച്ചു. മതിൽ പണിയാൻ എടുത്ത മൊത്തം സമയം എത്രയാണ്?

₹20-ക്ക് 1121\frac12 ലിറ്റർ എന്ന നിരക്കിൽ 60 ലിറ്റർ പാലിൽ എത്ര വെള്ളം ചേർത്താൽ മിശ്രിതം ₹ 102310\frac23 എന്ന നിരക്കിൽ ലഭിക്കും?

A trader invests ₹50,000 at an annual compound interest rate of 6%. Find half of compound interest received after 3 years.
A store marks the price of a pair of shoes at ₹1,200. During a sale, they offer a 10% discount, followed by an additional 5% discount on the new price. What is the final price of the shoes after both discounts ?
Find the least possible number which when divided by 36, 49, 54 or 70 leaves remainders of 19, 32, 37 and 53, respectively.
A bus travelling at 96 km/h completes a journey in 16 hours. At what speed will it have to cover the same distance in 8 hours?
After 63 litres of petrol was poured into an empty storage tank, it was still 10% empty. How much petrol (in litres)must be poured into the storage tank in order to fill it?
Evaluate: 41 - [36 - {48 ÷ 2 - (4 - 12 ÷ 3) ÷ 3}]
There are 7178 students in a school and the ratio of boys to girls in the school is 47 : 50, then find the number of boys in school.