The numbers 73, 115 and 185 are divided a by number to leave the same remainder. Find the greater possible such number.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 14.
This type of question can be easily solved by taking the difference between two numbers
The difference between the first and second numbers = 115 - 73 = 42
The difference between the second and third numbers = 185 - 115 = 70
The difference between the third and first numbers = 185 - 73 = 112
H.C.F(42, 70, 112)
⇒ 42 = 2 × 7 × 3
⇒ 70 = 7 × 5 × 2
⇒ 112 = 2 × 2 × 2 × 2 × 7
Thus,
H.C.F = 14
Hence, The possible greatest number will be 14