The Candle Light Study

Power went off when Vipul was studying. It was around 2:00 AM. He lighted two uniform candles of equal length but one thicker than the other. The thick candle is supposed to last four hours and the thin one one hours less. When he finally went to sleep, the thick candle was twice as long as the thin one.

For how long did Vipul study in candle light?

Well, he studied in candle light for....hours. Know here! 

The Candle Light Studying Hours

What was the question?

It's clear that, the thick candle lasts for 4 hours and thin one lasts only 3 hours.

If L is length of these candles (they are of equal length) then thick candle burns L/4 per hour and thin one burns L/3 per hour.

Let's assume Vipul studied for X hours.

In X hours, amount of thick candle burnt = XL/4

 

In X hours, amount of thin candle burnt = XL/3

 

After X hours, amount of thick candle remaining = L - XL/4

 

After X hours, amount of thin candle remaining = L - XL/3

 

Also, it is given that the thick candle was twice as long as the thin one when he finally went to sleep.

 

(L - XL/4) = 2(L - XL/3 )

 

L(1 - X/4) = 2L (1 - X/3)

(1 - X/4) = 2(1 - X/3)

 

(4 - X)/4 = 2(3 - X)/3

3(4 - X) = 8(3 - X)

12 - 3X = 24 - 8X

5X = 12

X=12/5

 

Converting 12/5 hours into minutes as X = 12/5 * 60 = 144 minutes.

 

Hence, Vipul must have studied for 2 hours and 24 minutes.

 

 

  

The Toaster Twist!

Jasmine has a toaster with two slots that toasts one side of each piece of bread at a time, and it takes one minute to do so.

If she wants to make 3 pieces of toast, what is the least amount of time she needs to toast them on both sides?

She needs only....minutes. Click to know. 

Smarter Use of Toaster!

What was the task given?

Jasmine has 3 pieces of bread and she want to toast total 6 sides of toasts. Since, the toaster can toast 2 sides (in two slots) at a time in 1  minute, she needs only 3 minutes to toast all her 3 pieces. All that she need to do use the toaster smartly.

Let A-B, C-D and E-F be the names of sides of toast that Jasmine has.

1. She puts 2 pieces - A-B and C-D in the two slots of toaster so that 2 sides say A and C are toasted but B and D remains untoasted. 1 minute used in the process.

2. For next minute, she takes out 1 piece say C-D and puts E-F in toaster while she flips A-B so that B is toasted. With that, B and E are toasted in this minute.

3. Now, only F and D are remain untoasted. In third minute, using 2 slots of toaster she toasts these 2 sides. 

Who Lives Where?

There are 4 big houses in my home town.

They are made from these materials: red marbles, green marbles, white marbles and blue marbles. 

Mrs Jennifer's house is somewhere to the left of the green marbles one and the third one along is white marbles.

Mrs Sharon owns a red marbles house and Mr Cruz does not live at either end, but lives somewhere to the right of the blue marbles house. 

Mr Danny lives in the fourth house, while the first house is not made from red marbles. 

Who lives where, and what is their house made from ?

HERE is step by step process to know who lives where! 

Location and Owner of Each House

What are the hints given?

Take a look at the given details once again - 

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1. Mrs Jennifer's house is somewhere to the left of the green marbles one.

2. The third house along is white marbles.

3. Mrs Sharon owns a red marbles house.

4. Mr Cruz does not live at either end.

5. Mr Cruz lives somewhere to the right of the blue marbles house. 

6. Mr Danny lives in the fourth house, 

7. The first house is not made from red marbles.

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Let's make a table of location, owner and material used for house as below and then fill up as per given details.

STEPS : 

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1.As per clue no. 6 and 7, we have,

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2. As per clue no.2, we have,

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3. The clue no.3 suggests, Mrs Sharon owns a red marbles house. The only location available for this combination is second house. Hence,

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4. The clue no.4 indicates that Mr Cruz does not live at either end. 

So, the only place that is not at the either end is house no.3 made up of white marbles. Hence, Mr. Cruz must be living at this house.

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5. As per clue no.1, Jennifer needs to be somewhere to the left of the green marbles one. 

That green house has to be the fourth house in row and Jennifer must be living in the first house made up of blue marbles for above clue to be true.

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Hidden Wallet of Question Mark

After recent events, Question Mark is annoyed with his brother, Skid Mark. Skid thought it would be funny to hide Question's wallet. 

He told Question that he would get it back if he finds it. So, first off, Skid laid five colored keys in a row. One of them is a key to a room where Skid is hiding Question's wallet. 

Using the clues, can you determine the order of the keys and which is the right key? 

Red: This key is somewhere to the left of the key to the door. 

Blue: This key is not at one of the ends. 

Green: This key is three spaces away from the key to the door (2 between).

Yellow: This key is next to the key to the door. 

Orange: This key is in the middle.

Logical Steps to know the RIGHT key are here!