Sequential Order of Fruits

A person is asked to put in a basket one apple when ordered 'one', one guava when ordered 'two', one orange when ordered 'three' and is asked to take out from the basket one apple and one guava both when ordered 'four'.

The ordered sequence executed by the person is as follows : 

1 2 3 3 2 1 4 2 3 1 4 2 2 3 3 1 4 1 1 3 2 3 4 1. 

How many apples will be there in the basket at the end of the above order sequence ? 

(a) 4 (b) 3 (c) 2 (d) 12.

How many fruits will be there in the basket at the end of the above order sequence ? 

(a) 13 (b) 17 (c) 9 (d) 11

Click to know the answers! 

Fruits Collection in a Sequential Order

What was that order?

The ordered sequence executed by the person is as follows :

1 2 3 3 2 1 4 2 3 1 4 2 2 3 3 1 4 1 1 3 2 3 4.

The question asks the final count of apple in the basket.

One apple is placed in the basket on order of ONE and one apple is removed when ordered FOUR.

So,

the number of apples placed in basket = Number of 1's in order sequence.

and

the number of apples taken out of basket = Number of 4's in order sequence.

Then,

the number of apples remaining in the basket = Number of 1's in order sequence - Number of 4's in order sequence = 6 - 4 = 2.



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Q.1 How many apples will be there in the basket at the end of the above order sequence ? (a) 4 (b) 3 (c) 2 (d) 1 2.


ANSWER - (C) 2

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Each time 1, 2 or 3 ordered, one fruit is added to the basket but when ever 4 is ordered, two fruits are removed from it.

Total number of fruits = Number of 1's + Number of 2's + Number of 3's - 2 x (Number of 4's) = 6 + 6 + 7 - (2x4) = 19 - 8= 11.

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Q.2 How many fruits will be there in the basket at the end of the above order sequence ? (a) 13 (b) 17 (c) 9 (d) 11

ANSWER - (d) 11

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So – who stole the apple?

During lunch, 5 of Mr. Bryant’s students visit the supermarket.

One of the 5, stole an apple.

When questioned…

  Jim said: it was Hank or Tom.
  Hank said: neither Eddie or I did it.
  Tom Said: you’re both lying
  Don said: no one of them is lying, the other is speaking the truth.
  Eddie said: no Don, that’s not true.

When the shop owner asked Mr. Bryant, he said that three of the boys are always truthful, but two lie all the time.

So – who stole the apple?

And the name of the person who stole the apple is......! 

Tom is a Apple Thief!

What's the story behind the title? 

Let's recall who said what.

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  Jim said: it was Hank or Tom.
  Hank said: neither Eddie or I did it.
  Tom Said: you’re both lying
  Don said: no one of them is lying, the other is speaking the truth.
  Eddie said: no Don, that’s not true.

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Clearly, Don and Eddie are making contradicting statements. Hence, one of them must be liar.

So there must be 1 more liar among Jim, Hank and Tom (since there are 2 liars & 3 truth tellers).

Tom's statement - you're both lying points Jim and Hank as liars. But there are total 2 liars with one being from either or Eddie as deduced above.

Hence, Tom himself must be that other liar.

Now we are sure that Jim and Hank must be telling the truth & as told by Hank, Eddie or Hank himself is not thief.

Since, Hank is not the one who stole the apple, the statement made by Jim suggests that Tom is the person who stole that apple.

With that, since 1 liar found among Jim, Hank and Tom, the immediate statement made by Don must be lie and the statement made by Eddie is truth.

The Game Of Guesses

In a contest, four fruits (an apple, a banana, an orange, and a pear) have been placed in four closed boxes (one fruit per box). People may guess which fruit is in which box. 123 people participate in the contest. When the boxes are opened, it turns out that 43 people have guessed none of the fruits correctly, 39 people have guessed one fruit correctly, and 31 people have guessed two fruits correctly.

How many people have guessed three fruits correctly, and how many people have guessed four fruits correctly?

Escape to answer without getting tricked! 

Correct Guesses From The Game Of Guesses

What was the game?

There is absolutely no way that somebody has guessed 3 correctly since if 3 are correct then 4th has to be correct. Hence, nobody guessed 3 correctly.

So number of people with all 4 guess correct is equal to 123 - 43 - 39 - 31 = 10.

10 people guessed all the 4 fruits correctly.