Between-100-and-600-how-many-number-are-such-which-are-totally-divisible-by-11-or-17-

Question Number 58069 by Kunal12588 last updated on 17/Apr/19

B e t w e e n 100 a n d 600, h o w m a n y n u m b e r

a r e s u c h w h i c h a r e t o t a l l y d i v i s i b l e b y 11 o r 17 .

Commented by Kunal12588 last updated on 17/Apr/19

Commented by Kunal12588 last updated on 17/Apr/19

Commented by Kunal12588 last updated on 17/Apr/19

I s t h i s c o r r e c t ?

Commented by tanmay last updated on 17/Apr/19

y e s c o r r e c t \dots

Answered by tanmay last updated on 17/Apr/19

N (11) = 110, 121, \dots 594

110 + (x - 1) \times 11 = 594

x - 1 = \frac{484}{11} \to x = 44 + 1 = 45 t o t a l 45 n u b e r s \leftarrow l o o k h e r e

N (17) = 102, 119 \dots 595

102 + (y - 1) 17 = 595

y = \frac{595 - 102}{17} + 1

y = \frac{493}{17} + 1 = 30

n o w 17 \times 11 = 187

N (187) = 187, 374, 561

z = 3

A o r B = A + B - A \cap B

= 45 + 30 - 3

= 72

Commented by Kunal12588 last updated on 17/Apr/19

t h a n k y o u s i r . I a n s w e r e d (i m a g e) t h e q u e s t i o n

b u t t h e r e w a s n o r e p l y a n d t h e r e w a s a n o t h e r

a n s w e r w h e r e s o m e o n e t o o k^{'} {o r}^{'} a s^{'} {a n d}^{'} . S o

I t h o u g h t m y a n s w e r (i m a g e) i s w r o n g .

Commented by MJS last updated on 18/Apr/19

“ {or}^{″} is not the same as “ {xor}^{″}

divisible by 11 or divisible by 17 includes

divisible by 11 and 17

divisible by 11 xor divisible by 17 excludes

divisible by 11 and 17

so in math language {it}^{'} s different from spoken

language . {we}^{'} re on a math forum, so we

should use math language

187 is ((divisible by 11) or (divisible by 17))

187 is not ((divisible by 11) xor (divisible by 17))

btw would you like coffee or tea ?

Commented by Kunal12588 last updated on 18/Apr/19

y e s s i r xor i s^{'} E x c l u s i v e {o r}^{'} w h i c h e x c l u d e s

^{'} {a n d}^{'} . w o u l d y o u l i k e c o f f e e o r t e a - i s a e g .

o f e x c l u s i v e o r . A m I r i g h t s i r M J S

b t w I l i k e c o f e e .

Commented by MJS last updated on 18/Apr/19

{you}^{'} re right .

Facebook Tweet Pin