Number Systems, Progressions

Find the sum....

3/4+5/36+7/144+9/400.........+19/8100

With approach please.....
sry no OA...

If a natural Number N has more than 2 prime factors.what will be the minimum number of factors of N^3 ?

  • 64
  • 60
  • None of the above.
  • 66

0 voters

HCF of 2 numbers is 6.
Product of the numbers = 4320

How many such pairs exist?
  • 4
  • 3
  • 2
  • None

0 voters

. Find X^y+y^x=46. Find X and Y values?

COPS
CLOSE
CELLAR
CORPSE
CASE
+ COLLAR
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RECTOR
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what is the value of every alphabet ?

plzzzzz explain how to solve this:


rem when 50! is divided by 2^60 ????
Grass in lawn grows equally thick and in a uniform rate. It takes 40 days for 40 cows and 60 days for 30 cows to eat the whole of the grass. How many days does it take for 20 cows to do the same?
  • 120
  • 180
  • 80
  • 60

0 voters

1!+2!+3!...+50! Divided by 5! Remainder will be ?
  • 1
  • 77
  • 33
  • 0

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The first term of the AP is unity and common difference is 4, which of the following terms will be a term in the series..
  • 7855
  • 10224
  • 89991
  • All of the above
  • 26121

0 voters

Hw many 6 dgt evn numbrs cn b frmd fm dgts 1 2 3 4 5 6 7 so that d dgt shd nt repeat and the secnd last dgt is evn


  • 2160
  • 6480
  • 320
  • 720

0 voters

A number has exactly 3 prime factors, 125 factors of this number are perfect squares and 27 factors of this number are perfect cubes. overall how many factors does the number have???
  • some other option
  • 729
  • 629
  • 329

0 voters

If a number is written as 100100100100100100100 in Base 2, how will it be written in Base 8?

  • 460
  • 7777777
  • 4444444
  • 2222222
  • NONE AFF THESEE…:smiley:

0 voters

A sequence x1,x2,x3 Is said to be in harmonic progression if the reciprocals 1/x1,1/x2,1/x3 are in arithmetic progression. The 5th and 7th term for harmonic progression are 30 and 50 respectively what is difference between 6th and 4th term ?
  • none of them
  • 20
  • 12.5
  • 100

0 voters

How many natural number not exceeding 4321 can be formed with the digits 1,2,3 and 4 if the digits can repeat.
  • 326
  • 229
  • 313
  • 429

0 voters

Find the 28383rd term of the series: 123456789101112

  • 3
  • 4
  • 9
  • 7

0 voters

P(x)=(x^2012+x^2011+x^2010+...+x+1)^2-x^2012
Q(x)=x^2011+x^2010+....+x+1
The remainder when P(x) is divided by Q(x) is ?

sorry : i do not know the answer !
  • 0
  • 30
  • 20
  • 1

0 voters

What is remainder when ((1!)^3+(2!)^3+(3!)^3+.......+(1152!)^3)/1152..?

  • 125
  • 225
  • 325
  • 205

0 voters

1,2,2,3,3,3,4,4,4,4,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,…………………………………..
Then what is the 2320 position of the number in the sequence?

do not know the right answer.
  • 2
  • 3
  • 4
  • 1

0 voters

‎1,2,2,3,3,3,4,4,4,4,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,…………………………………..
Then what is the 2926 term
  • 3
  • 4
  • 1
  • 2

0 voters

The HCF of three natural numbers x, y and z is 13. If the sum of x, y and z is 117, then how many ordered triplets (x, y, z) exist?

  • 27
  • 55
  • 54
  • 28

0 voters