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manoj kumar

· started a discussion

· 1 Months ago

how remainder is more than 2 when it is divided by 2.

Question:

Find the remainder when 3164 is divided by 162 ?

Options:
A)

1

B)

9

C)

11

D)

81

Solution:

Ans: (d)

Ambarish Gupta

· commented

· 1 Months ago

bhai..iska reason ye h ki..ki aap devide krk 1/2 to le aoge..but real m wo aapka remainder in hoga qki..aapne jis factor s numerator aur denominator ko cut kra h ..remainder laane k liye end m usi facotr s multiply bhi karna hoga..so at the end you will to multiply 1 by 81 ..and you will get the same ans...

Knowledge Expert

· commented

· 1 Months ago

Dear Student,
Please refer this,
3^0 / 162 , remainder is 1
3^1 / 162 , remainder is 3
3^2 / 162 , remainder is 9
3^3/162 , remainder is 27
3^4 / 162 , remainder is 81

and given 3^164 / 162
It can be expressed in power of 4 , 3^4(41) / 162
Therefore remainder is 81.

Thanks and Regards
Team TR

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