Number systems

Can someone help me out to solve the below problem.Number N when divided by a particular divisor D leaves a remainder 24. Seven times N leaves a remainder 8. How many different values can D take

Can someone help me out to solve the below problem.

Number N when divided by a particular divisor D leaves a remainder 24. Seven times N leaves a remainder 8. How many different values can D take

N is the smallest integer which when multiplied with 3 gives a number made of 5's only.The sum of the digits of N IS m. The sum of the digits of M is P.What is the value of p^4?


@scrabbler sir need your help!!

Find the greatest number which leaves remainders 10,8,6 when it divides 70,80,90 respectively.


Please explain your approach also

N is the least number such that when divided by 180 or 144, the remainder is 7, but when divided by 7, the rem is 1. WHICH of the foll is true:


1. 0
2. 1000
3. 2000
4. N>4000

If x = 3 + 3^(2/3) + 3^(1/3) ;


x^3 - 9x^2 + 18x - 12 is

Options a) 1 b) 0 c) -1 d) root2

how to find euler of numbers like 9^1111 mod 19.then we have to use euler of 9.but how to find it?

in finding the hcf of 2 numbers using the div. method the last divisor is 8 and quotients are 1,1,14 and 2 in that order. Find the two numbers(and pls explain).

a 2 digit number is 18 less than the square of sum of its digits. how many such numbers are there?

Find the remainder when 12123123412345 is divided by 36 . Please help me with the approach . 

Given N = 35 x 36 x 37 .......... x 67, what is the remainder left when N is divided by 289?