Number Systems, Progressions

If x, y and z are natural numbers such that x
plz share the approach

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  • 1
  • 2
  • non

0 voters

The number of positive integer valued pairs(x,y) satisfying 4x-17y=1 and x

  • 57
  • 58
  • 55
  • 59

0 voters

Let a,b,c be distinct digits. Consider a two digit number 'ab' and a three digit number 'ccb', both defined under the usual decimal number system, if(ab)^2=ccb and ccb>300, then the value of b is

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  • 0

0 voters

In four digit number sum of first two digits is equal to that of last 2 digits. The sum of first and last digit is equal to 3 digit. Finally , the sum of the second and fourth digits is twice the sum of the other 2 digits. What is third digit of the number.

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  • 4
  • 1
  • 5
  • 8

0 voters

A number has exactly 32 factors out of which 4 are not composite. Product of these 4 factors(which are not composite) is 30. How many such numbers are possible?

  • 4
  • 3
  • Not possible.
  • 6
  • 2

0 voters

1000^7-17 is written in decimal notation. What is the sum of its digits?

  • 183
  • 182
  • 181
  • none of these
  • 1

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Atul is given Rs. 158 in one-rupee denominations. He asked to allocate them into number of bags such that any amount required between Rs. 1 and Rs. 158 can be given by handling out a certain number of bags without opening them.What is the minimum number of bags required?

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  • 7
  • 9
  • 8

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All possible seven-digit numbers in base 2 ( binary ) having four 1s and three 0s. What is the sum of all such numbers?


  • 1470
  • 1615
  • 1740
  • 1910

0 voters

first we increase the denominator of a positive fraction by 3 and then decrease it by5. the sum of the resulting fraction proves to be equal to 19/42. find the denominator of the fraction if its numerator is 2.

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  • 8
  • 12
  • 9

0 voters

find the sum of all 2 digit no. that give the remainder 3.when they are divided by 7.

  • 656
  • 686
  • 676
  • 666

0 voters

N=123123123....300 digits. Find the remainder when N is divided by 504?

  • 35
  • none of these
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  • 412

0 voters


Smallest no. that leaves remainder 3,4,5 whn divided by 5,6,7 respectively and leaves remainder 1 with 11

Find the remainder when 2^164 is divided by 164?

  • 64
  • 16
  • 4
  • 2

0 voters


[ (81!+91!)^2-(81!-91!)^2]/81!*91!.......simplify it?
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  • 1
  • 0
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0 voters

Hi.how to find number of even factors of a number

rem: (7^50)/90


post solution too
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  • 243
  • 49
  • 1

0 voters

n^2 has 11 factors less than n. In how many ways can n^3 can be written as a product of 2 distinct no.

  • 8
  • 33
  • 17
  • 16

0 voters

If a four digit number “abcd” is divisible by 4 and another four digit number “acbd” is divisible by 8 then what is the minimum value of a+b+c+d ?

(A) 33

(B) 34

(C) 36

(D) None of these


pls explain the approach too

how many factors of 1800 are divisible by 10???

a) 1800 b) 180 c) 18 d) 8

From a no series a student deletes a no and finds that the average of remaining no's is 35+7/17. find how many no's were there originally and which no was deleted?

please tell the approach!!!