#1191 - Analytical Maths Riddle
Can you find four consecutive prime numbers that add up to 220?

47 + 53 + 59 + 61 = 220
Can you find four consecutive prime numbers that add up to 220?
47 + 53 + 59 + 61 = 220
Detective Ixolite of the NYPD was investigating a murder at Chicago.
It was a difficult case, and Ixolite was completely stumped until he noticed a message sent to him by the killer cunningly hidden in a newspaper advertisement selling Car Licence Plates.
Detective Ixolite thought about it for a while, and when he had solved the puzzle, immediately arrested the guilty man.
Q1) How did Ixolite know the advert was a clue for him?
Q2) Solve the code and tell me who Ixolite arrested.
This is the newspaper advert (Car licence plates for sale) that Detective Ixolite saw.
Plates For Sale;
[W 05 NWO]
[H 13 HSR ]
[O 05 EBM]
[D 08 UNE]
[U 10 HTY]
[N 04 BRE]
[N 16 TTE]
[I 26 LHC ]
[T 10 AEE]
[I 26 CNA]
[X 22 VDA]
1)The first bit is easy, as the first letter of each plate spells WHODUNNIT IX(A challenge to our Detective.)
2)The second bit is a little trickier, but I gave you the solution.If you read the last three letters in each plate from the bottom up and right to left you get ADVANCE EACH LETTER BY THE NUMBER SHOWN, so advance W by 5 to get B, H by 13 to get U and so on until you spell BUTLER DID IT.
You can take four of the five letters out of this word, but the pronunciation never changes. What is the word?
Queue (remove the last four letters – the pronunciation is the same)
what common phrase is represented by below lines
Easy going:
Weak, 'I'm going.'
Tough, 'I'm staying.'
Medium going:
Weak, 'I'm going.'
Tough, 'I'm staying.'
Tough going:
Weak, 'I can't do it, I'm staying!'
Tough, 'Let's get going.'
When the going gets tough, the tough get going.
I noticed one of word in oxford dictionary is spelled incorrectly. What about you ?
the word is 'incorrectly'
What can you serve, but never eat?
"A Tennis Ball" Or a "Badminton shuttle"
A large water tank has two inlet pipes (a large one and a small one) and one outlet pipe. It takes 3 hours to fill the tank with the large inlet pipe. On the other hand, it takes 6 hours to fill the tank with the small inlet pipe. The outlet pipe allows the full tank to be emptied in 9 hours.
What fraction of the tank (initially empty) will be filled in 0.64 hours if all three pipes are in operation? Give your answer to two decimal places (e.g., 0.25, 0.5, or 0.75).
In one hour,
Soln 1:
the large inlet pipe fills 1 / 3 of the tank;
the small inlet pipe fills 1 / 6 of the tank;
the outlet pipe empties 1 / 9 of the tank; and therefore
all three pipes together fill [ (1 / 3) + (1 / 6) − (1 / 9) ] of the tank.
Fraction of the tank that will be filled in 0.64 hours =
0.64 [ (1 / 3) + (1 / 6) − (1 / 9) ] = 0.25.
Soln 2:
Let V be the total volume of the tank. From equation (1),
Flow Rate (large inlet pipe) = V / 3
Flow Rate (small inlet pipe) = V / 6
Flow Rate (outlet pipe) = V / 9.
Substituting in equation (2),
Rate of Accumulation in tank = (V / 3) + (V / 6) − (V / 9).
Using the above result in equation (1),
Time required to fill the complete tank = V / [ (V / 3) + (V / 6) − (V / 9) ].
Note that V cancels out on simplifying the above expression.
Fraction of the tank that will be filled in 0.64 hours =
0.64 [ (1 / 3) + (1 / 6) − (1 / 9) ] = 0.25.
Aamir Khan buys rice at Rs60/kg from Britain and then sells them at Rs 5/kg pound in India.As a result of this he becomes a millionaire. How come?
He started out as a billionaire, but lost so much money in his good works(by giving to poor people) that he became a millionaire.
Ankit Garg holidaying abroad fell off a yacht into deep water. He could not swim and he was not wearing anything to keep him afloat. It took 30 minutes for the people on the yacht to realize someone was missing. The missing man was rescued two hours later. Why didn't he drown?
He fell into the Dead Sea, which lies between Israel and Jordan. The water is so salty and dense that anyone in it floats very easily.