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Find the greatest number by which the numbers 29, 43 and 71 when divide, leaves remainder 5, 7 and 11 respectively.1. 62. 123. 164. 18 |
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Answer» Correct Answer - 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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