Find the values between 1 and 100 that can be divided by 2 and 5.

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Multiples of number 10

Multiples of number 2

Multiples of number 5

Multiples of number 4

answer is A.

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Detailed Solution

Concept- Both the factors and the LCM of the provided numbers must be taken into account. We are aware that any factor of a number that divides another number also divides the larger number. Therefore, we will make use of this knowledge to identify the numbers that meet the stated requirements.
If two numbers a and b divide a given number d, then a and b also divide d. Let l be the LCM of the two numbers a and b. The numbers 2 and 5 are provided. We will therefore begin by finding the LCM of these two values. Keep in mind that both integers are co-prime to one another. The LCM of both integers is thus merely the sum of two numbers.
Thus the LCM of the indicated numbers is determined as follows: 2×5=10
Therefore, factor 2 and factor 5 will both be present in all multiples of 10 between 1 and 100. 10 now has the multiples 10, 20, 30,..., 90. All of the numbers in the above list are thus divisible by 10.
Hence, the correct option is answer 1.

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