# Number systems

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Can someone help me out to solve the below problem.Number N when divided by a particular divisor D leaves a remainder 24. Seven times N leaves a remainder 8. How many different values can D take
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N= 204*221*238*255*.......*850.                                                                 How many consecutive zeroes will be there at the end of this number N?

8
10
11
12
Do it............

Given N = 35 x 36 x 37 .......... x 67, what is the remainder left when N is divided by 289?

cat_shell
@forever007  ·  134 karma

51

@pawandeep41  ·  0 karma

51?

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Find the remainder when 12123123412345 is divided by 36 . Please help me with the approach .

@Piyushgandhi092  ·  0 karma

No need of CRT here. It's plain and simple question guys

@Swetpagal  ·  121 karma

@Piyushgandhi092 throw some light?

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a 2 digit number is 18 less than the square of sum of its digits. how many such numbers are there?

finally MICAn
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in finding the hcf of 2 numbers using the div. method the last divisor is 8 and quotients are 1,1,14 and 2 in that order. Find the two numbers(and pls explain).

finally MICAn
@pawandeep41  ·  0 karma

none of the option satisfy quotient 1,1,1,4,2

@ananya3006  ·  0 karma

Isnt it 1,2, 14 and 2&nbsp;

OA ?

I think it should 248, 480

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how to find euler of numbers like 9^1111 mod 19.then we have to use euler of 9.but how to find it?

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@sameer1993gwl  ·  0 karma

E(19=18)

since 9 and 19 are coprime.

9^18k mod 19=1

thus 9^3 mod 19 = 7

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If x = 3 + 3^(2/3) + 3^(1/3) ;

x^3 - 9x^2 + 18x - 12 is

Options a) 1 b) 0 c) -1 d) root2
Complexity is the enemy of execution!!! ಠ_ಠ
@ganapathy.1989  ·  233 karma

@vardhanalex  ·  48 karma

@ganpath  can u explain this??? i am weak in maths...!!

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N is the least number such that when divided by 180 or 144, the remainder is 7, but when divided by 7, the rem is 1. WHICH of the foll is true:

1. 0
2. 1000
3. 2000
4. N>4000
Complexity is the enemy of execution!!! ಠ_ಠ
@Piyushgandhi092  ·  0 karma

4327

@spruce.shine  ·  5 karma

4

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Find the greatest number which leaves remainders 10,8,6 when it divides 70,80,90 respectively.

Complexity is the enemy of execution!!! ಠ_ಠ
1 comment
@Dexter4020  ·  0 karma

12
hcf of (70-10, 80-8, 90-6) -> hcf(60,72,84) -> 12

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N is the smallest integer which when multiplied with 3 gives a number made of 5's only.The sum of the digits of N IS m. The sum of the digits of M is P.What is the value of p^4?