Number System - Questions & Discussions

Remainder when 28! is divided by 29??

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  • 0
  • 28
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@shac

N= 202 X 20002 X 200000002 X 20000000000000002 X 20000000.... 2 (31 zeros). The sum of digits in this multiplication will be? PLz explain also.



1) a) 112



2) b) 160



3) c)144 Skip



= 2^5(10^2 +1)(10^4 + 1)(10^8 + 1)(10^16 + 1)(10^32 + 1) = 3232............ (64 terms) = 5*32 = 160

@Empathy

Number y is defined as the sum of the digit of the number x, and z7as the sum of the digits of the number y. How many natural numbers x satisfy the equation x+y+z = 60?



1 answer 1) 1



0 answers 2) 2



0 answers 3) 3



0 answers 4) 4



44,50,47

@Deliberate

Three numbers 97,152 &252 when divided by the same divisor leaves remainders 1,8 &12 respectively.How many divisors satisfy this condition.Need explanation too..



1) 10



2) 9



3) 8



4) 2 Skip



3 actually 16, 24, 48

@sakethraj

if a year ends with sunday then 13 march in that year will be on which day?



1) monday



2) friday



3) thursday



4) cannot be detrmnd Skip



wednesday

1. what is the remainder when x is divided by 100, where x = greatest integer value of [sqrt(21) + sqrt (20)]^50?

1) 301 2) 601 3) 61 4) 201 5) 1
2. For how many set of natural number values of x and y, xy^2 + y + 7 will divide x^2y + x + y?
1) 0 2)1 3) 2 4) 5 5)None of these
3. If p is a prime no and n is an integer s.t p is divisible by 4n^2+1, what is the remainder obtained when p is divided by 4
1) 0 2) 1 3) 2 4) 3 5) CBD
Pls explain des questions

N is the least natural number which when divided by k , k+1 , k+2 successively , where K is a natural number , leaves remainder of k-1 , k , k+1 respectively.

which of the following is not the possible value of N.

a, 119

b, 59

c, 11

d, 23

Pls Explain:
Consider the function f(y)=y^2 + 8y -857. y takes only such values for which f(y) is a perfect square. What is the remainder when f(y) is divided by 100?
1) 16
2) 36
3) 68
4) 36
5) 52

N=202*20002*200000002*20000000000000002*200000......2( 31 zeroes).The sum of digits in this multiplication will be? ANS:160

What is the reminder when 51^52^53 divided by 11?

what is the remainder when 1!+2!+3!+4!.......45! is divided by 47 ?

What is the value of 48 divided by 47 times 47 divided by 46 times 46 divided by 45 . . . times 4 divided by 3 times 3 divided by 2 times 2 divided by 1?






This is amazing blog for CAT puzzles........ Enjoy........

a milk solution has milk and water in the ratio 3:2. what part of the solution has to be substituted with water so as to reverse the ratio of milk and water in the solution?

what is the remainder when 100! is divided by 97^2 ??

what is the remainder when 2^1990 is divided by 1990?

Enjoy puzzling puzzles and aptitude questions..........






@eleana

what is the remainder when 2^1990 is divided by 1990?



2*2^1989/1990 ----eq (i)

= 2^1989/995

= 2*2^2(994)/995

= 2 * 1 (as 2^(2*994)/995 = 1)

= 2 * 2 = 4