- 6
- 12
- 16
- 18

Option 2 : 12

**Given:**

When 29, 43 and 71 divided by the number, it leaves the remainder 5, 7 and 11 respectively.

**Concept Used:**

Concept of HCF

**Calculation:**

29 - 5 = 24

43 - 7 = 36

71 - 11 = 60

Now,

24 = 2 × 2 × 2 × 3

36 = 2 × 2 × 3 × 3

60 = 2 × 2 × 3 × 5

HCF of 24, 36 and 60 is 2 × 2 × 3 = 12

**∴ The required greatest number is 12.**

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