Question

question 2 of 5 what is the greatest 2 - digit integer that is a multiple of 7 and is divisible by 4? a 28 b 56 c 84 d 98

Explanation:

Step1: Find LCM of 7 and 4

Since 7 and 4 are coprime, their LCM is \( 7\times4 = 28 \). So the numbers we want are multiples of 28.

Step2: Find 2 - digit multiples of 28

Multiples of 28: \( 28\times1 = 28 \), \( 28\times2 = 56 \), \( 28\times3 = 84 \), \( 28\times4 = 112 \) (3 - digit, so stop).

Step3: Identify the greatest 2 - digit multiple

Among 28, 56, 84, the greatest is 84.

Answer:

C. 84