Question : What is the sum of all two-digit numbers which are divisible by 9?
Option 1: 565
Option 2: 535
Option 3: 585
Option 4: 475
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Correct Answer: 585
Solution : Sum of an arithmetic series = $\frac{n}{2} × (\text{first term + last term})$ ⇒ Two digit numbers divisible by 9: 18, 27, 36,..., 99 (Total terms = 10) So, the sum = $\frac{10}{2} × (18 + 99) = 585$ Therefore, the sum of all two-digit numbers which are divisible by 9 is 585. Hence, the correct answer is 585.
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Question : What is the sum of all three-digit numbers which are divisible by 15?
Option 1: 41200
Option 2: 36825
Option 3: 32850
Option 4: 28750
Question : What is the sum of all two-digit odd numbers?
Option 1: 2375
Option 2: 2475
Option 3: 2325
Option 4: 2425
Question : What is the sum of all two-digit even numbers?
Option 1: 2430
Option 2: 2410
Option 3: 2470
Option 4: 2520
Question : What will be the greatest number $32 \mathrm{a} 78\mathrm{b}$, which is divisible by 3 but NOT divisible by 9? (Where a and b are single digit numbers).
Option 1: 329787
Option 2: 329784
Option 3: 329781
Option 4: None of these
Question : What is the sum of all three digits numbers which are divisible by 20?
Option 1: 21400
Option 2: 24300
Option 3: 25800
Option 4: 22500
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