Number Systems, Progressions

how many pairs of natural numbers exist such that their LCM is 360 ?

  • 42
  • 53
  • 54
  • 43

0 voters

Does anyone have the pdf of the book ' Demystifying Number Systems by Nishit Sinha '? please share it friends!!! i need it but it's out of stock!!!😟

an orchard has 48 apple trees,60 mango trees and 96 banana trees.These have to be arranged in rows such that each row has same number of trees of same type.Find the minimum possible rows that can be formed.

this question was posted by someone but i didnt get the answer.

f(any number)=sum of its prime factors.for eg f(4)=2+2=4.f(9)=3+3=6...f(31)=0 because it is a prime number itself
now f(1)+f(2)+.....f(100) .this whole expression divided by 99..what is the remainder

Does someone have the pdf or link to "demystifying number systems by nishit sinha" ?


10 thieves steal x gold coins and escape. While all are asleep , 2 thieves wake up and divide the coins b/w them and find 1 coin extra, Just then a 3rd thief wakes up. So the 3 divide all the coins among them and find 2 coins extra.Again the 4th thief wakes up and on dividing the coins , 3 c...

1) 2519

2) 2521

3) 534

4) None of these

  • 2519
  • none
  • 534
  • 2521

0 voters

If any number 'x' does not have a factor b/w 2 and squareroot(x) , it is a prime number... Why do we check for factors just till squareroot(x) and why not beyond that till x

  • plz answer
  • thnx

0 voters

if a number is divisible by 2 and 3 also.. Then it is also divisible by 2*3 = 6... Does this mean that if a number is divisible by 4 and also by 6.. then the number is divisible by 4*6 =24.... eg.. 36 and 12 are both divisible by 4 and 6 but not by 24... Why does the rule only apply to 4 and 6.. This is a conceptual doubt

thnku
  • clear the doubt plz
  • thnx

0 voters

Which would be greater a^b or b^a, given b>a??Please answer this question

Thanxs

  • explain
  • with conditions

0 voters

Remainder of (16! + 91)/323 ??

P, Q and R are finite sets. P has thrice as many elements as Q and Q has more elements than R. The number of subsets of Q is 63 more than that of R. What is the sum of the number of subsets of P, Q and R?

A)

218

B)

218 + 26

C)

218 + 65

D)

None of these

A company manufactures pencils in boxes of 20, 9 and 6. The boxes are sealed and the pencils cannot be sold loose. What is the largest number of pencils that a wholesaler cannot purchase using some combination of these boxes?

A)43

B)199

C)99

D)None of these

N is a set of all natural numbers less than 1000.

How many elements of N have an odd number of factors?


  • 30
  • 11
  • 31
  • 9

0 voters

@jatinsh123

Which would be greater a^b or b^a, given b>a??Please answer this question



Thanxs



1) explain



2) with conditions Skip



only base to the high power is greater than high base to the lower power
take an eg.
b=5 nd a=3
so a^b > b^a
as 3^5 > 5^3
bt it is not valid for all the cases some exceptions are there like when b=3 and a=2 and when a=4 and b=2


Not taking PG mocks as solution are not proper or missing. PG should provide a pdf for their own solutions(and not members) at least.

@adi9780

how many no can be formed using digits (1,2,3,4,5,6,7,8,9)..such that they are in increasing order(eg:0 12345,345,6789,123456789)???

sorry i dont know the options plz share ur approach





On dividing a number successively by 3,4 and 7,the remainders are 2,1 and 4 respectively. If the same no. is divided by 84 the remainder is..

  • 0
  • 2
  • -2
  • 4

0 voters

Whats the trick for these type of Questions?
x= 1/[(11)^(1/2) + (10)^(1/2)] .Find the value of x^4+ 1/[x^4] ??

how to find no. of rectangle (m x n) where m>n in a normal chess board?

lets say no. of rectangle (3 x 2) in a normal chess board??
m -> rows
n -> cloumn

How many perfect square less than 106 are multiples of 24?


approach....