| 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 up count 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) Let I be denoted by x. There are 4 corners of a square. On counting each corner thrice, we get \[3\times 4=12\] According to the question, \[x+12=34\] \[\Rightarrow \] \[x+1212=3412\] \[x+0=22\] \[\Rightarrow \] \[x=22\] Hence, I am 22. (ii) According to the question. \[x+7=23\] \[\Rightarrow \] \[x+77=237\] \[\Rightarrow \] \[x+0=16\] \[x=16\] (iii) Let the special number be x. Then according to the question [In cricket team, no. of players be 11] \[x6=11\] \[\Rightarrow \] \[x6+6=11+6\] \[\Rightarrow \] \[x+0=17\] \[\Rightarrow \] \[x=17\] Hence, the special number is 17. (iv) Let I be denoted by x. Then according to the question. \[22x=x\] \[\Rightarrow \] \[22x+x=x+x\] \[\Rightarrow \] \[22+0=2x\] \[\Rightarrow \] \[2x=22\] \[\Rightarrow \] \[x=11\] Thus, I am 11.
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