Multiple Choice Question (MCQ)
What is the least positive integer that is divisible by both 2 and 5 and leaves a remainder of 2 when it is divided by 7?

×
20

✓
30

×
50

×
65

×
75
What is the least positive integer that is divisible by both 2 and 5 and leaves a remainder of 2 when it is divided by 7?
20
30
50
65
75
If an integer is divisible by both 2 and 5, the number in its ones place must be 0. So D and E are excluded.
Then apply the 2nd condition to check if the number leaves 2 when it is divided by 7.
30 \mod 7 =2
Correct choice is B.