[simrat_sandy]

Originally Posted by prateek7563

What is the remainder obtained on dividing

16^101 + 8^101 + 4^101 + 2^101 + 1 by 2^100 +1

please solve this one. How can u think that substitution. please explain

the numerator is divisible by 16+8+4+2=30
and the denominator is divisble by 3
hence nr is a multiple of 30 and dr is multiple of 3
so i think remainder should be 0??
is this logic correct?

[prateek7563]

Originally Posted by simrat_sandy

the numerator is divisible by 16+8+4+2=30
and the denominator is divisble by 3
hence nr is a multiple of 30 and dr is multiple of 3
so i think remainder should be 0??
is this logic correct?

i dont think so

[simrat_sandy]

Originally Posted by knight27

The ans is -41.........
X and Y will be 7 and 23 respectively.......

Pls confirm

yes that's correct, i got the same ans

[simrat_sandy]

Originally Posted by prateek7563

i dont think so

correct it is not possible

[arya5139]

Originally Posted by crazy_mn2002

how did u replace 2^101 by -2... after the step : (2^100+1+2^100+1-2)/2^100+1 , i think it will be 1+1+(-2/2^100+1)... but how did u replace it by -2. please explain.

consider 2^101%(2^100 + 1) = (2^100 + 2^100)%(2^100 + 1)
= (2^100 +1 +2^100 + 1 -2)%(2^100 + 1)
= (2*(2^100 +1) - 2)%(2^100 +1)

See, remainder when 2*(2^100 +1) will be divide by (2^100 +1) will be Zero not 1 and when -2 is divided by (2^100 +1) it will give remainder of -2
=> final remainder in above expression would be -2

[crazy_mn2002]

@ arya... i got it... thanks...

[knight27]

The owner of an art shop conducts his business in the following manner. Every once in a while he raises his price by X%, then a while later he reduces all the new prices by X%. After one such up-down cycle, the price of painting decrease by Rs.441 After second up down cycle, the painting was sold for Rs.1944.81 What was the original price of the painting?

1. 2756.25
2. 2256.25
3. 2500
4. 2000

[shilpakokkanti]

1)In a race of 500 m,L beats M by40 sec and beats N by 12 5mm.If M and N run a 500m race,M beats N by 40 sec.Find the time taken by M to run the race?

280 is the ans.

Also find the speed of N??
ans is 1.5625 m/s.

2) In a 100 m race,Ajay gives bala a start of x m(x>=20) ands is beaten by him by Y m(y<=20).
If the speeds of both are distinct.which of the following cannot be the ratio of the speeds of ajay and bala?

ans is 9:10

[knight27]

Originally Posted by simrat_sandy

the numerator is divisible by 16+8+4+2=30
and the denominator is divisble by 3
hence nr is a multiple of 30 and dr is multiple of 3
so i think remainder should be 0??
is this logic correct?

16+8+4+2+1 = 31 and divided by 3(2+1), the remainder is 1 only........
Is it correct?.....
Pls confirm

[TheVacuum]

Originally Posted by MaskedMenace

My answer is 9

There may be other possibilities

3,9,9,12
2,9,10,11

here are 4 numbers in a sequence.The average of first three no.s =7,and last three no.s is 3 more than the first.The avg. of 2nd and 3rd no. is??

i am unable to identify the seq in the series that you have mentioned...

acc to me it could be 4, 7, 10 and 13
with avg 8.5..