Number Systems, Progressions

if a number t is divided by nos. m,n,o,p the respective remainder is obtained as q,r,s,t.if the difference between divisor and remainder is not constant,can we calculate the lowest value of t?

is a number containig 1 ,1's, 2, 2's, 3, 3's, 4, 4's is a perfect square?

1/1.4+1/4.7+1/7.10+1/10.13+1/13.16
=?

  • 41/7280
  • 5/16
  • 1/3
  • 3/8

0 voters

find a remainder of 2^133 divided by 133?


answer 128

Q- If N is a natural number & the number of factors of N is 720.

Find the maximum number of prime factors that N can have?

  • 3
  • 7
  • 5
  • 10

0 voters

If in any decreasing arithmetic progression, sum of all its terms, except for the first term, is equal to -36, the sum of its terms, except for the last term, is zero, and the difference of the tenth and sixth term is equal to -16, then what will be the first term of this series?

  • 20
  • -24
  • -20
  • -16
  • 16

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The product of three odd natural number is 531117, find the sum of three numbers.

  • 243
  • 183
  • 213
  • 273

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How many natural numbers from 1-900 are NOT multiples of any of the numbers 2,3 or 5?

  • 300
  • 240
  • 250
  • 270

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How many numbers between 1-1000(both excluded) are both squares and cubes?

  • 2
  • 0
  • 1
  • 3

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how many numbers(n) are there between 1 and 200 such that n/2, n/3 and (2n+1)/5 are all composite natural numbers??

  • 4
  • 1
  • 2
  • 3

0 voters

which of the following are irrational numbers?

a.4.2
b.4.33
c.4.132489435..
d.√3


  • d
  • b,c
  • a,c
  • c,d

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i have some clocks in room.alarm is set in different clocks at different time intervals in integers mutiple of a minute.incidentally,all the alarms ring together after 4 hrs.find the max number of clocks in the room.
i have some clocks in room.alarm is set in different clocks at different time intervals in integers mutiple of a minute.incidentally,all the alarms ring together after 4 hrs.find the max number of clocks in the room.

The integers 34041 and 32506, when divided by a 3-digit number n,leave the same remainder. What is the value of n?

  • 307
  • 289
  • 367
  • 453

0 voters

If f(n) is the number of solution sets (x, y) for the equation x + 2y = n, such that x, y and n are all whole numbers, what is the value of the expression X = f(870) − f(868)?
OPTIONS

1) −2
2) −1
3) 0
4) 1
5) 2

  • -2
  • 1
  • 0
  • -1

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hai. i couldnt get the solution for this


1/x+1/y=1/6(x,y belongs to N) then how many no.of solutions are possible??

how many integers between 1-100 both inclusive can be expressed as difference of sqaures of two non negative integers?

  • 748
  • 750
  • 250
  • 300

0 voters

some birds settled on the branches of a tree.First ,they sat one to a branch and there was one bird too many.Next they sat two to a branch and there was one branch too many.How many branches were there?

  • 2
  • 3
  • 4
  • 5
  • 6

0 voters

If 2

  • 6
  • 8
  • 4
  • 7
  • None of these

0 voters

(1*1*1) + (2 *2*2) + (3*3*3) + (4*4*4) +. . 10 terms is divided by 1*1 + 2 *2 + 3 *3 + 4 *4 + . . .10 terms . Find the remainder.