Which of the following numbers is divisible by 38?

Correct option is A

Concept Used:

A number is divisible by 38 if it is divisible by both 2 and 19

For divisibility by 2, the number must be even.

For divisibility by 19, we divide the number by 19 and check if the remainder is 0.

Solution:

Checking divisibility of 1938 by 38:

First, check if it is even. Since 1938 ends in 8, it is even, so it is divisible by 2.

Now, divide 1938 by 19:

1938÷19 = 102

Since the result is an integer, 1938 is divisible by both 2 and 19, and thus divisible by 38.

Checking divisibility of 1495 by 38:

1495 is odd, so it is not divisible by 2. Therefore, it is not divisible by 38.

Checking divisibility of 2620 by 38:

2620 is even, so it is divisible by 2.

Now, divide 2620 by 19:

2620 ÷ 19=137.89(not an integer)

Since the result is not an integer, 2620 is not divisible by 19 and thus not divisible by 38.

Checking divisibility of 2423 by 38:

2423 is odd, so it is not divisible by 2.Therefore, it is not divisible by 38. 

Thus, Option(a) 1938 is correct