Number Systems, Progressions

If the harmonic mean between two positive numbers is to their geometric mean as 12 : 13; then the numbers could be in
the ratio :

please explain the solution whoever gets it correct.. :)
  • 1/12:1/13
  • 4:9
  • 2:3
  • (a) 12 : 13

0 voters

A number is divided by 7,remainder is x. then divided by 19, leaves remainder 2x & when divided by 39, gives remainder 3x. if x=4,then find least possible such number?

find the valve of 9^1/29^1/49^1/8*9^1/16…


Approach Please

  • 8
  • 0
  • 2
  • 9

0 voters

(10^10+10^10^2+10^10^3+10^10^4+10^10^5+10^10^6+10^10^7+10^10^8+10^10^9+10^10^10)/7 what will be reminder??

  • 1
  • 4
  • none of this
  • 5

0 voters

what is the remainder when 3^1001 is divided by 1001?(plz explain)

  • 971
  • 966

0 voters

the no. of digitsin the smallest no. consisting ofonly ones and zeroesand divisible by 225.

  • 4
  • 10
  • 11
  • 9

0 voters

find d lowest 4 digit number, which when divided by 5 gives 1 and wen divided by 6 gives 2 as remainder.


post approach also.

A positive whole number M less than 100 is represented in base 2 base 3 base 5 notation.it is found that in all 3 cases the last digit is 1.while in exactly two out of the three cases the leading digit is 1 then M equals

  • A)31
  • B)63
  • C)75
  • D)91
  • E) none of these

0 voters

K(N) denotes no. of ways in which N can be expressed as a difference of two perfect squares. Which of the following is maximum?


Please explain thoroughly..
  • k(105)
  • k(216)
  • k(110)
  • k(384)

0 voters

What is the remainder when 2512.2513.2514.2515 + (2516)^3 + (2517)^4 is divided by 9?

  • 0
  • 5
  • 3
  • 1

0 voters

what is the remainder when 16! is divided by 19

post your approach too

THere are n books in a shelf. if you divide the books into groups of 9, 2 books are left and groups of 11, 7 are left. If the capacity of the shelf is 1000 books. How many differnet values n can take?

  • 12
  • 10
  • 9
  • 8

0 voters

If (5x+11y) is prime number for natural number values of x and y, then what is the minimum value of (x+y)?

  • 2
  • 6
  • 5
  • 4
  • 3

0 voters

How many factors of N=1020 will be divisible by 5 but not by 15?

  • 0
  • 12
  • 3
  • 6
  • 2

0 voters

If a,b,c,d are natural no.s such that a^d + b^d = c^d, which of the following is true

  • minimum of a,b,c is atleast d
  • max of a,b,c is atmost d
  • min{a,b,c}<d></d>
  • d=1

0 voters

If a no. is of form 144k+1 is divisible by 17, how many such combinations are possible?


Please dont use hit and trial method.
  • 2
  • 3
  • 4
  • 5

0 voters

for how many of first 300 even natural numbers is the total number of factors even ??
pls post a solution too

In the product of all co-primes of 59 that are less than 59,find the largest power of 10.

Approach!

  • 11
  • 13
  • 362
  • 384
  • None of these

0 voters

Rem[(7^15)/15] ?


Post the approach too

how many no's b/w 100 & 900 have sum of their digits equal to 12 ?


any shortcut ? jain4444 Aizen Ibanez