Number Systems, Progressions

Easy One-
A number when divided by 36 leaves a remainder 9.What could be the remainder when it is divided by 45?
  • 15
  • 18
  • 21
  • 24

0 voters

Consider all possible 8-digit binary strings having four 1s and four 0s. What is the sum of all such numbers? (Note:- a string can have a leading 0)

  • 8925
  • 7825
  • 8664
  • 9012
  • 5625

0 voters

Let f(n) denote the square of the sum of the digits of n. Let f ^2(n) denote f(f(n)), f ^3(n) denote f(f(f(n))) and so on.
Then f 1998(11) = ??

  • 16
  • 49
  • 256
  • 169

0 voters

fn ={ 2^n-1 + 1, n is odd
2^n-1 - 1,n is even
find remainder when f1+ f2 + f3....f100 is divided by 127

  • 3
  • 0
  • 91
  • 126

0 voters

Let x be the smallest integer such that the number N = (16^x) (5^800) has 805 digits. Then the sum of digits of N is

  • 19
  • 11
  • 4
  • 25

0 voters

All possible pairs are formed from the divsors of 21600. How many such pairs have a HCF of 45??

  • 276
  • 8
  • NOT
  • 49
  • 34

0 voters

find the 2nd term of an AP. If sum of first 5 even terms is 15 and sum of 1st 3 terms is -3.
plz provide the solu.

  • 1
  • 0
  • -1
  • -2
  • -3

0 voters

K is a 3 digit number such that ration of the no. to the sum of its digit is least. What is the diff between hundredth and tenth digits of the number.

  • 8
  • 9
  • 7
  • non of these

0 voters

28383rd term of 1234567891011121314.......

  • 3
  • 4
  • 9
  • 7

0 voters

What will be the last 2 digits?
(10^3+9^3)^1000 / 12^3

  • 35
  • 25
  • 65
  • 45
  • 85

0 voters

Find the smallest possible integer n for which (2^2-1)(3^2-1)(4^2-1).....(n^2-1) is a perfect square.

With explanation please....
  • 8
  • 6
  • 2
  • 4

0 voters

two digits selected from 0,1,2,3,4,5,6,7,8,9.slip on which code is handwritten allows confusion b/w top n bottom coz dey r indistinguishable.e.g 91 can be confused with 16. how man codes are there such dat there is no possibility of any confusion ?

  • none
  • 25
  • 75
  • 80

0 voters

Find the sum of terms in the series : 3,11,14,25,........upto 1851,2995

A boy multiplies 987 by a certain number beginning with 5 and obtains 559981 as his answer.If in the answer ,both 9's are wrong,correct answer will be

  • 555681
  • 553681
  • 556681
  • 555181

0 voters

Let S denote the sum of three natural numbers. Let D denote the sum of the products of them taken two at a time. Let P denote their product. If 3S + D = 2P, how many combinations are there for the numbers?

  • 7
  • 3
  • 6
  • 5
  • None of the above

0 voters

What is the remainder when 3^1001 is divided by 1001??

find the base of the number system if 14,31,62 forms GP in that system

  • B)8
  • C)9
  • D)10
  • E)none of these
  • A)7

0 voters

Which of the following are factors of 3^259 + 2^296?
(i) 16
(ii) 349
(iii) 2443



  • i & iii
  • ii & iii
  • iii
  • all

0 voters

2^156 divided by 13 ,remainder is??


  • 1
  • 11
  • 6
  • none

0 voters

a+b+c=3
a^2+b^2+c^2=5
a^3+b^3+c^3=7
find a^4+b^4+c^4