Question

Let x be the greatest number which divides 955, 1027, 1075, the remainder in each case is the same. Which of the following is NOT a factor if x?
1. 6
2. 8
3. 4
4. 16

Answer 1

Correct Answer - Option 4 : 16

Given:

Number = 955, 1027, 1075

Concept used:

The greatest number means we will calculate the HCF of the given number. We will see the factors of numbers.

Calculations:

⇒ Required number (x) = HCF of (1027 - 955), (1075 - 1027) and (1075 - 955)

⇒ Required number (x) = HCF of 72, 48 and 120

⇒ HCF of 72, 48 and 120 = 24

⇒ Required number (x) = 24

⇒ Factors of 24 = 6 , 8 , 4 but 16 is not the factor of 24

∴ 16 is not the factor of 24.