Number Systems, Progressions

Let A,B,C,x be single digit positive integers. Let x be the quotient when A000 is divided by ABC. The different number of values of x possible is

a)3 B)4 C) 5 D) 6
imagewhen divided by 9 gives the remainder ?
Sorry for posting it again.. But the I deleted the post as I though it was not showing up properly..

A four digit number is formed by using 5,6,8 and 9 each used only once.How many of them will be divisible by 7 ?


4,5,6,7

Let sum of squares of two numbers be 914. The sum of numbers when divided by 7 leaves the remainder ? 0,2,4,6


When 10^10 is divided by 81, find the quotient


Consider two positive non prime numbers not divisible by 5,sum of squares of which is divisible by 25 and less than 1000. How many pairs of such numbers exist


A certain number when successively divided by 8 and 11 leaves remainders of 3 and 7 respectively. What will be remainder when the number is divided by the product of 8 and 11?


@cheerfulMBA

If the sum of 32 consecutive numbers is a perfect square then what is the minimum possible value of the sum of the first and the last term of the series of 32 consecutive numbers


32n+528=c^2

n=(C^2-528)/32;

Now somebody please help me to find out the values

@cher

A certain number when successively divided by 8 and 11 leaves remainders of 3 and 7 respectively. What will be remainder when the number is divided by the product of 8 and 11?

If AB = BC = AC = PB = CQ = x, what is the length of AP?


  • 2
  • 1
  • sqrt (2x)
  • sqrt (3x)

0 voters

remainder when 48^46 is divided by 49^2??


find the remainder of 55555 .... 93 times divided by 98


Please explain the logic to be applied for these questions


remainder of 2 ^1990 / 1990

remainder of 2 ^1990 / 1990


N is a 50 digit number (in the decimal scale). All digits except the 26th digit (from the left)are 1. If N is divisible by 13, find the 26th digit.


Hcf of 2472,1284 and a third number N is 12. If their LCM is 2^3 * 3^2 * 5^1 * 103 * 107, then find the number N ?


(P.S- The product of the HCF and LCM equals the product of the numbers. Does this rule hold true for more than 2 numbers? Why /Why not? )

@kumar.kishlay777

Hcf of 2472,1284 and a third number N is 12. If their LCM is 2^3 * 3^2 * 5^1 * 103 * 107, then find the number N ?

(P.S- The product of the HCF and LCM equals the product of the numbers. Does this rule hold true for more than 2 numbers? Why /Why not? )



Cant be found out as more than one possible number is there for N..

T and G are two positive integers which end in same unit digit in base-b.

If half of (T + G) is written in base-b, then it's unit digit is either 2 or 6.

Find the value of b.

A. 7

B. 8

C. 9

D. data insufficient

what will be the 250th letter in the series a,a,b,a,b,c,a,b,c,d......
plz share the approach also..

5555.......upto 96 digits divided by 14 what will be the remainder ?