Q. 54.6( 55 Votes )

Solve the following riddles, you may yourself construct such riddles.

Who am I?

(i) Go round a square

Counting every corner

Thrice and no more !

Add the count to me

To get exactly thirty four !

(ii) For each day of the week

Make an upcount from me

If you make no mistake

You will get twenty three !

(iii) I am a special number

Take away from me a six !

A whole cricket team

You will still be able to fix !

(iv) Tell me who I am

I shall give a pretty clue !

You will get me back

If you take me out of twenty two !

Answer :

(i) From above riddle, we can conclude following:


We know that,


There are 4 corners in a square


Also,


Thrice the number of corners in the square will be 3 × 4 = 12


When 12 is added to the number than we get the result which is 34


Hence,


The number must be the difference of 34 and 12


i.e., 34 – 12 = 22


(ii) From above riddle, we can conclude following:


When the old number was up counted on Sunday then the result was 23


Also,


When the old number was up counted on Saturday then the result was 22


When the old number was up counted on Friday then the result was 21


When the old number was up counted on Thursday then the result was 20


When the old number was up counted on Wednesday then the result was 19


When the old number was up counted on Tuesday then the result was 18


When the old number was up counted on Monday then the result was 17


Therefore,


Number taken at start = 17 – 1


= 16


(iii) From above riddle, we can conclude following:


We know that,


Total players in a cricket team = 11


Therefore, according to the riddle the number is such that when 6 is subtracted from it the result is 11


Hence,


Required number = 11 + 6


= 17


(iv) From above riddle, we can conclude following:


According to the riddle the number is such that when it is subtracted from 22 then the result will be the number itself


Therefore,


The required number should be 11 which again gives 11 when it is subtracted from 22

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NCERT - Exemplar Mathematics