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If N=901 * 902 * 903. If N is divided by 25 then remainder is:-


The answer is 6.

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8 solutions

Shreya R
Feb 25, 2014

We see that 900 is divisible by 25. So the remainder in 901 is 1, 902 is 2, and 903 is 3. Thus we add these remainders to get the total remainder, i.e, 6.

well done putua

swapnil rajawat - 7 years, 3 months ago

cool ...

arsha sree - 7 years, 3 months ago

ang galing

Jayson Castillon - 7 years, 2 months ago

If x, y and z when divided by p give reminders a, b and c respectively, is it always the case that x y z will give reminder a+b+c?

Lets take an example of 27 29 31 divided by 25

Individually, these numbers give reminder 2, 4 and 6 that totals up to 12

But the product of given 3 numbers is 24273 which when divided by 25, gives a remainder of 23.

Nilangini Gupta - 7 years, 1 month ago

good one shreya....

Iksha Gupta - 7 years, 3 months ago

excellent Shreya

Manoj Sharma - 7 years, 3 months ago
Tan Li Xuan
Feb 24, 2014

901= 1(mod 25),902=2(mod 25),903=3(mod 25) so the remainder is 1 2 3 (mod 25) = 6.

All Shuvro
Feb 24, 2014

Mama Use calculator .... :p :p

yeah

Archiet Dev - 7 years, 3 months ago
Shabarish Ch
Feb 25, 2014

Since the second digit in all the three numbers is zero, the last two digits of the product will be determined by the last digits of 901, 902 and 903, that is, 1, 2, and 3.So, 901 × 902 × 903 = . . . . . . . . 06 901 \times 902 \times 903 = ........06 The remainder is the same as dividing 6 by 25, i.e.6.

'Kevin Gepulle'
Mar 1, 2014

All of us know that 900 is divisible by 25 so the remainder of 901 is 1, 902 is 2, 903 is 3 so you'll add it to get the total remainder

Sina Soltanieh
Feb 25, 2014

901(mod25)=1 902(mod25)=2 903(mod25)=3 Just add them all up! 1+2+3=6

Anand Raj
Feb 25, 2014

The unit Digit Will be 06 So The r = 6

Aritri Chatterjee
Feb 25, 2014

its a simple problem on divisibility , 901 902 903 when separately divided by 25 leaves 1 , 2 , 3 as remainder but * is distributed among them so 3 2 1/26 is r=6

why did you do 321/26 at last?

swapnil rajawat - 7 years, 3 months ago

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ITS 1 2 3 /25 TYPO :p

aritri chatterjee - 7 years, 3 months ago

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MORE PRECISELY 1X2X3 /25

aritri chatterjee - 7 years, 3 months ago

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