InterviewSolution
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1). Quantity 1 > Quantity 2 2). Quantity 1 ≥ Quantity 2 3). Quantity 2 > Quantity 14). Quantity 2 ≥ Quantity 1 |
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Answer» Quantity 1: If we fix 1 at the unit digit place than any other digit (7, 9) can be arranged in = 2! = 2 Which means there 2 numbers which have 1 at the unit place If we observed we will find that there are 2 numbers each with 7 and 9 at the unit place. SUM of all the numbers at the unit’s place is, ⇒ 1 × 2 + 7 × 2 + 9 × 2 ⇒ 2 × (1 + 7 + 9) ⇒ 2 × (17) = 34 Sum of all the tens place = 34 × 10 = 340 Sum of all the hundred place = 34 × 100 = 34000 ∴ Sum of all POSSIBLE numbers = 34 + 340 + 34000 = 34374 Quantity 2: If we fix 1 at the unit digit place than any other digit (8, 7) can be arranged in = 2! = 2 Which means there 2 numbers which have 1 at the unit place If we observed we will find that there 2 numbers each with 7 and 8 at the unit place Sum of all the numbers at the unit’s place, ⇒ 1 × 2 + 7 × 2 + 8 × 2 ⇒ 2 × (1 + 7 + 8) ⇒ 2 × (16) = 32 Sum of all the tens place = 32 × 10 = 320 Sum of all the hundred place = 32000 ∴ Sum of all possible number = 32 + 320 + 32000 = 32352 We can see that ∴ Quantity 1 > Quantity 2 |
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