Number Systems, Progressions

The sum of a number and the two numbers preceding it is equal to 30. Find the number.

  • 9
  • 11
  • 8
  • 10

0 voters

8x + 5 - 3x = 2x +11, then what is the value of x?

  • 6
  • 2
  • 5
  • 4

0 voters

if N=a0a1a2a3a4........a99 and M= a99a98a97.....a3a2a1 then what is with the divisibility of

mod of (N-M)

(my cat was on 4th November and this was in paper...please solve it)
  • is divisible by 9 but not necessarily by 11
  • s divisible by 9 but not necessarily by 99
  • divisibility of such no.s can't be predicted
  • is divisible by 9 but not necessarily by 111

0 voters

Find what would be the units digit in 27^34^19?

  • 9
  • 1
  • 3
  • 7

0 voters

Find in how many ways can 9216 be written as a product of two numbers such that both the numbers are perfect squares

  • 8
  • 1
  • 6
  • 5
  • 12

0 voters

what would be the remainder to (10*10!)/11

  • 10
  • 1
  • 5
  • 0

0 voters

If aabb is the perfect square of pq . what is the relation between pq and what is teh perfect square


How many numbers below 100 can be expressed as the difference of two perfect squares in only one way?



  • 35
  • 36
  • 34
  • 25
  • 24

0 voters

Find the sum of all the co-primes to 2016 which are less than 2016 ?

  • 552108
  • 580608
  • 580508
  • 5016
  • 558432

0 voters

How many 3- digit numbers in base 10 are there which can be expressed using 3 digits in base 9 as well as in base 11 ?


*[I don’t know the OA] [Please post your approach as well]

  • 608
  • 580
  • None of these
  • 720
  • 609

0 voters

Q1. if exactly 300 digits have been used to no. the pages of a book, how many pages the book has....?

DIRECTIONS:
Mark (1), if only statement I is sufficient to answer the question.
Mark (2), if only statement II is sufficient to answer the question.
Mark (3), if both the statements together are sufficient to answer the question.
Mark (4), if data is insufficient to answer the question.
1. Product of three distinct integers is 48. Find their sum.
I. Their sum is a prime number
II. None of the these numbers is a prime number.

  • 3
  • 2
  • 1
  • 4

0 voters

What is the remainder when 9 × 99 × 999 × … × 99… 9 is divided by 1000?

The last number in the product series contains 999 number of 9’s.

  • 129
  • None Of these
  • 89
  • 109

0 voters

for wat value of n will the remainder of 351^n and 352^n will be same when divided by 7??

  • 2
  • 4
  • 6
  • 3

0 voters

The number of digits in (2PQR)^4 where (2PQR) is a 4-digit number

  • 15
  • 13
  • cant say
  • 14

0 voters

Is pq36 a perfect square?


  • cant say
  • no
  • yes

0 voters

if (ab)^2=ccb >300 where a,b,c are distinct digits then b is

  • 6
  • 1
  • 0
  • 5

0 voters

let H(a,b)=greatest common factor of a and b.

Let A be set of n positive integers,G(A)=G.C.F. of elements(greatest common factor) of elements of set A is computed by repeatedly using the function H.The minimum number of times H is required to be used to compute G is:
  • n
  • n-1
  • n/2
  • none

0 voters

How many composite numbers between 1 to 10000 have prime numbers of factors?

approach plz

  • 35
  • 36
  • 32
  • 33
  • 34

0 voters

Can anyone explain the question below:
suppose a no. which has 2 at its right end, if 2 is shifted to the left end then the no. obtained is 2 times the earlier number. what is the earlier number?