Number Systems, Progressions

how many natural numbers are only factors of 720 and 840


pleasse give the approach
  • 30
  • 32
  • 60
  • 46

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While writing all natural numbers from 100 to 199, how many contain digit 1?

Can anyone elaborate me euler's theorem to find the remainders in short? i find it really hard to understand. TIA


what is the remainder when 33! is divided by 37.

sry i dont know ans..
  • 27
  • 6
  • 1
  • none of these

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no of three digit numbers which are divisible neither by 2 nor by 3??

  • 300
  • 450
  • 400
  • 350

0 voters

what is the Reminder when 6^83 + 8^83 is divided by 49

Plz post the approach

What is the remainder when 25! is divided by 29 ?

  • 0
  • 28
  • 5
  • 23

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How many three digit no. exist such that their cubes end with 44?


Approach plz?
dnt have OA
  • 16
  • 12
  • 24
  • None

0 voters

find the number of 3-digit numbers which when divided by 11 leaves a remainder of 9 & when divided by 7 leaves a remainder of 2.


Please confirm the answer with approach
  • 11 (answer mentioned in by source)
  • 10 (I am getting this answer)

0 voters

Let Sm denote the sum of the cubes of first m natural numbers. For How many values of m
  • 21
  • 23
  • 20
  • 22

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A cube is painted in such a way that three mutually adjacent faces are painted brown, two faces are painted black and the remaining face is painted blue. The cube is now cut into 343 smaller but identical cubes.

How many of the smaller cubes are painted on exactly two faces and have exactly two colours?

let S be a set of 5 digit numbers formed by the digits 1, 2, 3, 4 and 5 using each digit exactly once such that exactly 2 odd positions are occupied by odd digits. what is the sum of the digits in the rightmost position of the numbers of S?

please tag me while explaining the answer... thank you.. :)

  • 192
  • 228
  • 216
  • 294

0 voters

When (abcde)6 a 6 digit number with distinct digits. How many such numbers are completely divisible by 9?
(A) 45 (B) 49 (C) 52 (D) 57 (E) 60
  • 3
  • 4
  • 2
  • 1
  • 5

0 voters

N=abcdefghij is a 10-digit number. All digits are different from one another. If 11111 divides it evenly then how many possibilities are there for N

1)3024
2)3456
3)5076
4)1692
5)cant say
  • 5
  • 4
  • 3
  • 2
  • 1

0 voters

How many pairs of integers (x,y) exist such that x^2+4y^2

  • 95
  • 159
  • 180
  • 90

0 voters

2^1130/1130 remainder?

Find the remainder when (123123123123..................300digits) is divided by 37.

  • 2
  • 16
  • 12
  • 15

0 voters

Find the smallest positive integer that can be expressed as the sum of 9 consecutive positive integers, sum of 10 consecutive positive integers and sum of 11 consecutive positive integers.
  • 296
  • 324
  • 495
  • 675

0 voters

How many 3 - digit even numbers can you form such that if one of the digits is 5 then the following digit must be 7?
(a) 5
(b) 405
(c) 365
(d) 495