Question
Is a two-digit number divisible by 5 ? I.The sum
of the two digit of the number is 7. II. The product of the two digits of the number is 10. Each of the questions given below has one question and two statements marked I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.Solution
From I and II, Let the two digits of the number be x and y Now, x + y = 7 and xy = 6100 (x – y)² = (x + y)² - 4xy = 7² - 4 × 10 = 49 - 40 = 9 ∴x-y = ±3 Thus, we get x = 5 and y = 2 x = 2 and y = 5 The number could therefore be 52 (not divisible by 5) or 25(divisible by 5).
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