x+y+z=5, x+2y+2z=6, x+3y+λz=𝜌 ; λ,𝜌 ∈ R എന്ന സമവാക്യ കൂട്ടത്തിന് അനന്ത പരിഹാരങ്ങളാണ് ഉള്ളതെങ്കിൽ λ+𝜌 = ............
x+y+z=3 , x+2y+3z = 4, x+4y+kz = 6 എന്ന സമവാക്യ കൂട്ടത്തിനു ഏകമാത്ര പരിഹാരം ഇല്ലാതിരിക്കാൻ k യുടെ വില എത്ര ?
x+y+z = 5 , x+3y+3z = 9, x+2y+ 𝜶z=β തന്നിരിക്കുന്ന സമവാക്യ കൂട്ടത്തിനു അനന്ത പരിഹാരം ഉണ്ടെങ്കിൽ 𝜶, β യുടെ മൂല്യം കണ്ടെത്തുക.
3x-y+4z=3, x+2y-3z=-2, 6x+5y+λz=-3 എന്ന സമവാക്യ കൂട്ടത്തിന് ഏകമാത്ര പരിഹാരമാണ് എങ്കിൽ താഴെ പറയുന്നവയിൽ ശരിയായത് ഏത്?
രണ്ടാമത്തെ സംഖ്യ ആദ്യ സംഖ്യയുമായി ബന്ധപ്പെട്ടിരിക്കുന്ന പോലെ മൂന്ന്നാമത്തെ സംഖ്യയുടെ ബന്ധപ്പെട്ട ഓപ്ഷൻ തിരഞ്ഞെടുക്കുക
31 : 90 : : 43 : ?
10 പുരുഷന്മാർ ഒരു ജോലി 12 ദിവസം കൊണ്ട് ചെയ്തു തീർക്കാൻ കഴിയുമെങ്കിൽ അതെ ജോലി ചെയ്യാൻ 12 പുരുഷന്മാർ എടുക്കുന്ന സമയം എത്ര?
ഒരാൾ 6000 രൂപയ്ക്ക് ഒരു കസേരയും ഒരു മേശയും വാങ്ങുന്നു. അയാൾ കസേര 10% നഷ്ടത്തിലും മേശ 10% ലാഭത്തിലും വിൽക്കുന്നു. എന്നിട്ടും അയാൾക്ക് മൊത്തത്തിൽ 100 രൂപ ലാഭമുണ്ട് . ഒരു കസേരയുടെ വാങ്ങിയ വില എത്രയാണ്?
Pipes A, B and C can fill a tank in 10, 15 and 18 hours, respectively. A and C are opened for 5 hours, then only pipe A is closed and B is opened at the same time (with C). The total time taken to fill the tank completely is:
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 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 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?