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225 and 147 are divided by a two digit number, leaves same remainder in each case. How many such two digit numbers are possible?1. 22. 33. 44. None of these |
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Answer» Correct Answer - Option 3 : 4 Given: Numbers are 225 and 147 Concept used: If two numbers are divided by their difference or factor of difference, leaves same remainder Calculation: Given numbers are 225 and 147 Difference of the numbers = 225 – 147 = 78 Calculation of factors of 78: ⇒ 1 × 78 = 78 ⇒ 2 × 39 = 78 ⇒ 3 × 26 = 78 ⇒ 6 × 13 = 78 Factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78 Only two digit factors are = 13, 26, 39, 78 ∴ Only 4 numbers are possible. |
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