Let x be the greater number which when divides 955, 1027, 1075 the remainder in each case is the same. Which of the following is NOT a factor of x?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 16.
Here we don't know about the remainder, but all three are equal so it may be 0. To ease problem-solving one must consider the rem as 0.
One can say that, x = HCF of (955 + 1027 + 1075).
HCF of (955 + 1027 + 1075) = HCF of (1075 - 1027, 1075 - 955, 1027 - 955)
HCF of (955 + 1027 + 1075) = HCF of (48, 120, 72)
HCF of (955 + 1027 + 1075) = 24.
Factor of 24 = 1, 2, 3, 4, 6, 8, 12, 24.
16 is not the factor of 24.