Question

How many integers n are there such that 2≤n≤1000 and the hcf of n and 36 is 1

a.416
b.332
c.333
d.455

Answer 1

I am total confused... :(

Answer 2

why

Answer 3

kyon ki jab pehle mujhe jo mila tha wo 1 se 1000 ke bich tha.

So, mujhe 333 ke sath 1 to join karna tha na.

tab solution 334 nikalta.

Answer 4

Alright, lets count again freshly

Answer 5

sir plzz chek eng chta...pzzzz

Answer 6

okay ! :)

Answer 7

how many numbers are divisible by 2 ?
how many numbers are divisible by 3 ?
how many numbers are divisible by 6 ?

Answer 8

500 by 2, 333 by 3 and 166 by 6 between 1 and 1000

Answer 9

Excellent !
so how many are coprime to 36 ?

Answer 10

and can you list down first few

Answer 11

1000-(500+333-166) = 333
par yahan pe 1 to exclude ho rahan hain na ?????

Answer 12

lets see,
can you list down first few integres that are coprime with 36 ?

Answer 13

main e 2 se dekha tha to 5 se hoga.. 5,7....

Answer 14

lets first figure out the count for 1<= n <= 1000

Answer 15

first few would be : 1, 5, 7, ...
and the total count for this is 333 right ?

Answer 16

par 1 kese a jayaga main e to 2 se 1000 tak dekha na tab 500 nikla . phir 3 se 1000 tak ka liya. phir minus kiya 6 se 1000 ke bich ka.

Answer 17

yeah, how many total numbers are there between 2 and 1000 ?

Answer 18

including 2 and 1000

Answer 19

999 ???

Answer 20

subtract the count of multiples of 2,3 from 999,
what do you get ?

Answer 21

166 ...

Answer 22

multiples of 2,3 between 2 and 1000 : (500+333-166)

Answer 23

so the total count of numbers that are NOT multiple of 2,3 would be :

999 -(500+333-166)

Answer 24

oho I get it. it is 332 . Okay I get it...

Ouch! I was an idiot to subtract from 1000.. Thank you !

@surd sorry to cause you turmoil. #apologies.

Answer 25

its okiee...

Answer 26

loll

Answer 27

it was a trick question as it was asked right after 1<= n<= 1000 :P

Answer 28

ya, I got tricked. :(