Question

H.C.F. and L.C.M. of two numbers are 7 and 140 respectively. If the numbers are between 20 and 45 the sum of the number is

• A. 70
• B. 77
• C. 63
• D. 56

Answer 1

The correct option is C 63

Since the H.C.F. is 7 therefore, possible numbers could be 21, 28, 35 and 42. L.C.M. of the numbers does not have the factor of 3. But 21 and 42 are the numbers which have 3 as a factor. So, 21 and 42 will not be the numbers. If 21 and 42 are not the numbers, then the numbers are 28 and 35.
Sum of the numbers =28+35=63.