Question

if 6pq5 is divisible by both 3 and 5 which of the following digits can replace p and q​

Answer 1

Given :   6pq5 is divisible by both 3 and 5

To find : Possible values of p & q

Solution:

6pq5  is Divisible by both 3 & 5

Any number is Divisible by 5 if it ends with 0 or 5

as number is ending with 5

hence its divisible by 5

Any number  is Divisible by  3  if sum of Digits is Divisible by 3

6 + p + q  +  5  

= 11 + p +  q

p + q  can be  1  , 4 , 7  ,  10   , 13 , 16 ,

possible pair of pq ( p & q can be interchanged)

(0 , 1)   , (0 , 4) , ( 1, 3) , ( 2 , 2)  ,  ( 0 , 7) , ( 1, 6) , ( 2, 5) , ( 3, 4)  , (1 , 9) , (2 , 8) , ( 3, 7) , ( 4, 6) , ( 5, 5) , ( 4 , 9 ) , ( 5 , 8) (6 , 7)  , (7 , 9) , ( 8 , 8)

As option are not given Choose one from the above in given options

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Answer 2

Answer:

if p is 9 and q is .7then number 6975 .6975 is divisible by both 3 and 5