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When 2295, 3663, and 6399 are divided by a certain 3-digit number and this three-digit number lies between 170 and 180, the remainder in each case is the same. Then, what is the value of the remainder?1. 722. 123. 164. 81 |
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Answer» Correct Answer - Option 1 : 72 We need to find the Greatest Common Factor (HCF). Thus, (3663 – 2295) = 1368 (6399- 2295) = 4104 (6399 – 3663) = 2736 So, factors of 1368 = 8 × 9 × 19 = 8 × 171 Factors of 4104 = 8 × 19 × 27 = 24 × 171 Factors of 2736 = 16 × 9 × 19 = 16 × 171 Therefore, The three digit number is 171. So, Numbers are – 2295 = (171 × 13) + 72 3663 = (171 × 21) + 72 6399 = (171 × 37) + 72 ∴ The required three digit number is 171 and the remainder is 72. |
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