Number System - Questions & Discussions

@vergil

Along a long corridor there are 100 doors marked as 1,2,3....100.as u know the doors can be in two states- 0pen or close.initially all doors are open.person number 1 changes the state of all doors that a multiple of 1 i.e basically all doors.person 2 then changes the state of all doors that are multiple of 2.person 3 then changes state of all doors that are multiple of 3adn so on till the person number 100 changes state of door 100. how many doors are closed??



1) p



2) p Skip



×

10 doors will be closed ..90 doors open

15^23+23^23/19

what is remainder??

wit exlaination

  • a
  • b

0 voters

find the total number of identical pices that can be obtained from the square sheet of paper when it is torn 5 times without folding?/``

  • 6
  • 12

0 voters

(3x^3-1/x^2)^20

coofficient of x^2 ????

(1/x-2x^3)^10

find the coefficient 0f x^9???

  • t
  • p

0 voters

(a+b+c+d+e+f)^210

no of coefficient???

  • q
  • t

0 voters

(1-x+x^2)^5

find the coefficient of x^4 in the expression???

with explain ur approach

  • 35
  • 45
  • 50

0 voters

plz tell how to approach in these two questions?

1- find the coefficient of x^4 in (1-x+x^2)^5 ?

2- find the integral values of x and y in x^2-3y^2=1376 ?

E(N) is defined as square root of(1 + 1/N^2 + 1/(N-1)^2) , where N is a natural number which is atleast 2. Find 1005 sigma i=2 E(i)

  • 1005-1/1005
  • 1005 - 1/1004
  • 1004-1/1004
  • 1005 -1/1006
  • 1004 - 1/1005

0 voters

A sweet shop sells sweets in boxes of different sizes. Sweets are priced at Rs.5 per sweet upto 300 sweets.For every additional 10 sweets the price of whole lot goes down by 10 paise per sweet.What should be the box size to get maximum revenue?


Pls provide solution a.s.a.p
  • 400
  • 360
  • 450
  • 380
  • 500

0 voters

@vergil

15^23+23^23/19



what is remainder??



wit exlaination



1) a



2) b Skip



×

the answer is zero cause a^n +b^n is divisible by a+b when n= odd

@ag12345

a watch ticks 90 times in 95 seconds and another watch ticks 315 times in 323 seconds. if both the watches are started together, how many times will they tick together in the first hr?



1) 100 times



2) 101 times



3) 102 times



4) none Skip



×

The first watch ticks every 95/90 sec and the sec watch ticks every 323/315 sec

they will tick together after (LCM of 95/90 and 323/315) sec

LCM of 95/90 &323/315 = LCM of 95,323/ HCF of 90, 315

= 19*5*17/45

The no. of times they will tick in the first 3600 sec = 3600 / 19*5*17/45= 3600*45/19*5*17 =100..

Once they have already ticked in the beginning ; so in 1 hour they will tick 100+1= 101 times.

Is there a more recent thread for Numbers? Can you please provide me the link

@vergil

(1-x+x^2)^5



find the coefficient of x^4 in the expression???



with explain ur approach



2 answers 1) 35



5 answers 2) 45



1 answer 3) 50



×

please explain!!

What will be the last digit of 7^11^22^33 - 7^11^33^22?

Plz explain the process too.....
  • 5
  • 4

0 voters


@Venylraj

An airline has a certain free luggage allowance and charges for excess luggage at a fixed rate per kg . Two passengers ram and rahim have 60kg between the and are charged rs 1200 and 2400 respectively for excess luggage. Had the entire luggage belonged to one of them, the excess luggage charge would have been rs 5400. What is the weight of rahim's luggage



0 answers 1) 20



0 answers 2) 25



0 answers 3) 30



4 answers 4) 35



1 answer 5) 40



×

can pls some one post solution of it./..?

find the remainder when 27^27 is divided by 100

find the remainder when 47^100 is divided by 100?