Remainder Questions:

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Q1) Remainder of 32^32^32 divided by 7?
a) 2  b)   3    c)   4    d)   6

Q2) Remainder of (22^33+10^35) divided by 45?
a)  2    b)   11   c)   8   d)  None of these

Q3) Remainder of (1^1+2^2+3^3+....+10^100) divided by 4?
a) 0     b)  1      c)  2     d) 3

Q4) Remainder of 3^450 divided by 108?
a)     3        b)    1     c) 27    d)    81

Q5) Remainder when (1!+2!+3!+.....1000!) divided by 5?
a) 1       b)   2          c)     3      d) 4

doubt ›

Submitted by shivanibusiness on Thu, 2008-07-24 13:29.
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commented on:  Thu, 2008-07-24 13:42

jigar_er_civil's picture

jigar_er_civil points: 870
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Q5) Remainder when

Q5) Remainder when (1!+2!+3!+.....1000!) divided by 5?
a) 1       b)   2          c)     3      d) 4

here  from 5! to 1000! divided by 5

so we have to find just 1!+2!+3!+4!=33 so reminder=3

Little Star

commented on:  Thu, 2008-07-24 14:32

jigar_er_civil's picture

jigar_er_civil points: 870
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Q4) Remainder of 3^450

Q4) Remainder of 3^450 divided by 108?
a)     3        b)    1     c) 27    d)    81

here 108=3*3*3*4=27*4

so finally we get 3^447 divided by 4

now 3^447 written as 9^223*3 divided by 4 so remider=1*3 =3

Little Star

commented on:  Thu, 2008-07-24 14:34

jigar_er_civil's picture

jigar_er_civil points: 870
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Q3) Remainder of

Q3) Remainder of (1^1+2^2+3^3+....+10^100) divided by 4?
a) 0     b)  1      c)  2     d) 3

can u clear, here in last term 10^10 or 10^100(this one not possible) or 100^100

plz correct it

Little Star

 

commented on:  Thu, 2008-07-24 14:37

shivanibusiness's picture

shivanibusiness points: 541
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   it is 100^100

 

 it is 100^100

commented on:  Fri, 2008-07-25 09:48

jigar_er_civil's picture

jigar_er_civil points: 870
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Q3) Remainder of

Q3) Remainder of (1^1+2^2+3^3+....+10^100) divided by 4?
a) 0     b)  1      c)  2     d) 3

ans is 0

Little Star

commented on:  Fri, 2008-07-25 09:49

jigar_er_civil's picture

jigar_er_civil points: 870
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Q1) Remainder of 32^32^32

Q1) Remainder of 32^32^32 divided by 7?
a) 2  b)   3    c)   4    d)   6

ans is 4

Little Star

commented on:  Fri, 2008-07-25 17:31

arpit 1989's picture

arpit 1989 (not verified) points: 0
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your answer is wrong

your answer is wrong

32*32*32/7

4*4*4/7

64/7

1 remainder

commented on:  Fri, 2008-07-25 18:12

jigar_er_civil's picture

jigar_er_civil points: 870
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Arpitbhai here u r for CAT

Arpitbhai

here u r for CAT not for 2nd standard school exam

so data is 32^32^32 not 32*32*32

Little Star

commented on:  Tue, 2008-08-12 11:34

jaiprabhu's picture

jaiprabhu points: 2
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Q4) Remainder of 3^450

Q4) Remainder of 3^450 divided by 108?

ur answer is wrong..

i tried using various methods...

the right answer is 81.......

commented on:  Tue, 2008-08-12 17:57

rajesh_6e's picture

rajesh_6e points: 798
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3)..

all even nums are div. by 4 so lets consider only odd nums..
1^1 rem =1
3^3 rem =(-1)^3=-1
5^5 remdr = 1
7^7 rem = -1
9^9 rem= 1

addin we get rem upto 10^10= 1
rem upto 100^100=1*10= 10 i.e. rem =2  


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