1/X + 1/Y = 1/3....How many ordered pair (x.y) satisfy this.

Hi sir, please help with the problem below:

How many numbers N are there such that sum of N and its digits is 1000003?

100 bottles of wine is sold by an innkeeper in 8 days, each day overpassing by 3 bottles the qty sold on the previous day. How many bottles did he sel...

in a school there were some students. at annual function of the school if each student given one rupee more than the number students in the school, th...

the distance between place A and place B is 97 meters . A mad man start walking from place A towards place B. He walks 7 meters in first 3 mins and in...

What will be the remainder when 11111111- - - -(27times) is divided by 999?

How many four digit positive integers divisible by 7 have a property that , when the first and the last digit is interchanged , the result is a(not ne...

@anna As 1000 = 103 ≡ 1 mod999. So 12341234.... 400 digits ≡ 1 + 234 + 33(123 + 412 + 341 + 234) mod999 ≡ 1 + 234 + 33(111) mod999 ≡ 901 mod999

Sir, I still didnt get the last step! 4 × 49×50×99/6 mod 9 = 6 How did this came?

@anna Let us assume, 4x6+x3+5 = 0mod7 => 4x6+x3 = 2mod7 => x3(4x3+1) = 2mod7 Let x3 = 1mod7, then x3(4x3+1) = 5mod7. Let x3 = 2mod7, ...

@anna 30n=2nx3nx5n Number - 45*57*92*91*52*62*63*64*65*66*67 = 211x33x52x7x132…. So n=2 is the answer.

Find the maximum value of n such that 50! is perfectly divisible by 12600 raised to the power n.

Solve this question. What is the unit digit of the product 71.72.73.74.……………..72020

For how many positive integers does n! End with exactly 100 zeroes?