Question : Which of the following numbers will completely divide 412 + 413 + 414 + 415?
Option 1: 3
Option 2: 7
Option 3: 11
Option 4: 17
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Correct Answer: 17
Solution : Given: 412 + 413 + 414 + 415 = 412(1 + 4 + 42 + 43) = 412(1 + 4 + 16 + 64) = 412(85) Since 85 has factors of 5 and 17. $\therefore$ It is divisible by 17. Hence, the correct answer is 17.
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Question : Directions: Which of the following interchanges of numbers would make the given equation correct? 7 × 4 ÷ 14 + 12 + 30 = 50
Option 1: 12, 14
Option 2: 7, 14
Option 3: 4, 7
Option 4: 30, 50
Question : Directions: By Interchanging the given two numbers which of the following equations will be correct? 7 and 4
Option 1: 4 – 7 + 6 ÷ 2 × 3 = 12
Option 2: 4 × 3 + 7 – 9 ÷ 3 = 20
Option 3: 7 + 4 × 2 – 6 ÷ 2 = 17
Option 4: 7 + 5 × 2 – 4 ÷ 1 = 9
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct? + and –, 7 and 6
Option 1: 4 × 7 + 6 – 3 ÷ 1 = 20
Option 2: 8 × 7 + 5 ÷ 1 – 6 = 17
Option 3: 7 – 6 × 3 + 4 ÷ 1 = 8
Option 4: 7 × 2 – 6 + 4 ÷ 2 = 13
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct? × and ÷, 7 and 9
Option 1: 9 – 7 × 2 + 6 ÷ 3 = 11
Option 2: 9 + 4 × 3 – 7 ÷ 1 = 40
Option 3: 8 × 3 ÷ 6 + 9 – 7 = 14
Option 4: 9 × 3 + 4 ÷ 2 – 7 = 18
Question : Directions: By interchanging the given two signs which of the following equations will be not correct? + and ÷
Option 1: 12 ÷ 8 × 12 + 6 – 7 = 21
Option 2: 9 – 3 + 12 × 8 ÷ 4 = 11
Option 3: 46 + 23 ÷ 14 × 5 – 6 = 66
Option 4: 6 + 20 ÷ 12 × 7 – 11 = 70
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