Tuesday, June 1, 2010

इसे कहते हैं शुद्ध गणित... (This is pure mathematics...)

विशेष नोट : अगर आप जवाब ढूंढ लेते हैं तो ठीक, वरना कमेंट लिख दीजिएगा, मैं जवाब आपको मेल के जरिये भेज दूंगा...

क्या आप लोग मुझे बता सकते हैं, उत्तर का इकाई का अंक क्या होगा, यदि आप 7^46 (7 की घात 46) को हल करें...?

यदि इसी प्रश्न को मैं आसान भाषा में पूछूं, तो मुझे बताइए, शेषांक (शेषफल, अवशेष) क्या होगा, यदि 7^46 (7 की घात 46) को 10 से भाग कर दिया जाए...?

याद रखिए, कैलकुलेटर का प्रयोग न करें, तो बेहतर होगा, क्योंकि संभव है, वह आपको गलत जवाब दे...

और हां, अपने जवाब के पक्ष में तर्क भी दीजिएगा...

Now, the same riddle in English...

Special Note: If you succeed in solving this one, well and good; but in case, you don't, just leave a comment, and I will mail the answer to you...

Can you guys tell me, what would be the last digit (unit's), if you solve 7^46 (7 exponentiated by 46)...?

If I ask the same question in other words, what will the remainder be, if 7^46 is divided by 10...?

Please note that you should not use a calculator to solve this, as you may get a wrong answer...

Also, please do explain your answer...

25 comments:

  1. This comment has been removed by a blog administrator.

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  2. Jawaab dhoondhne ka tareeka bilkul sahi pakda hai aapne, lekin ek baar phir koshish keejiye, kyonki jawaab sahi nahin hai, Deepesh Bhai...

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  3. Maths background na hone ke karan thoda question samajhane me kathinai aa rahi hai fir bhi mere hisab se last digit of 7^46 will be 7.49 or 0.749048330965186

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  4. Dear Anurag, ismein sharminda hone jaisi koi baat nahin hai... 7^46 ka arth hai, 7 ko 7 se ek ke baad ek 46 baar guna (multiply) karna... For example, 7^3 ka arth hota hai, 7 x 7 x 7 = 343...

    So, ab tak samajh hi gaye hoge, ki tumhaara jawaab sahi ho hi nahin sakta... Ab ek baar phir koshish karo... Best of luck, buddy...

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  5. 7^46 solve karne par to ye aaya.... ab iska kya karu ?
    749048330965186000000000000000000000000

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  6. Sahi nahin aaya Bhai... Yaar, itne saare zero kaise aa sakte hain, kisi bhi sankhya ko 7 se multiply karne par...?

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  7. vivek bhai agar (7^23)*(7^23) kare to bhi answer vohi aata hai... ap aap hi kuch madad kariye.

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  8. Jawaab tumhe mail kar deta hoon... Email ID bataao...

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  9. csanuraggeete@gmail.com save kar lijiye aage bhi lagta rahega :-)

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  10. Sahi jawaab tumhe mail kar diya hai, Anurag...

    By the way, tumhaara ID already saved hai, dost... Bhool gaya tha, isliye dobaara maang baitha...

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  11. This comment has been removed by a blog administrator.

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  12. Jawaab bilkul sahi hai is baar, Deepesh... Badhaai...

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  13. This comment has been removed by a blog administrator.

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  14. Akki, tumhaara jawaab sahi hai, dost... Badhaai...

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  16. Tumhaara jawaab bilkul sahi hai, Anmol... Badhaai... :-)

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    Replies
    1. Shravan, jawaab bilkul sahi hai... Badhaai... :-)

      Aur haan, pareeksha ke liye haardik shubh-kaamnaayein... :-)

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  18. This comment has been removed by a blog administrator.

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    1. Waah, tumhaara yeh jawaab bhi sahi hai, Adhyayan... Bahut-bahut badhaai... :-)

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  19. 7.49 guna 10^37.
    Guna se mtlb( multiply( . ) se hai)

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    Replies
    1. Bhai mere, maine kuchh aur hi poochha hai...

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  20. Iska to phir jarur he kuchh method hoga. Krpya gurudev ap he btaye

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    Replies
    1. Shubham bhai, aapka jawaab bilkul sahi hai... Badhaai... :-)

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