Question

If the number 2345p60g is exactly divisible by 3
and 5, then the maximum value of p + q is
(a) 12
(b) 13
(c) 14
(d) 15

With explanations... ​

Answer 1

Answer:

15,Multiply by both 3 and 5

3 x 5 =15

5 x 3 =15

Option D

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Answer 2

Answer:

(b) 13

Step-by-step explanation:

We have a number 2345p60q which is exactly divisible by 3 and 5

We have to find the maximum value of p+q

To find that first we have to find the value of p and q

We know that if a number is divisible by 5 then the number should have a end digit 0 and 5

So the possible value of q can be only 0 and 5

We have to find the maximum value of p+q

So let us consider q=5 as we cannot consider q=0 to get a maximum value

Now substitute the q value in the given number

We get 2345p605

We have

2+3+4+5+p+6+0+5

25+p

Therefore a number greater than 25 and divisible by 27, 30

Hence p may be 2, 5, 8  

Here highest number=8

Therefore we have p=8 q=5

Hence p+q=8+5=13

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