Question

Which of the following sequences of signs would replace '*' to correctly solve the given equation?

14 * 24 * 3 * 5 * 3 * 7

• A. +, ÷, -, ×, =
• B. +, ÷, ×, -, =
• C. ÷, +, ×, -, =
• D. +, ×, ÷, -, =

Answer 1

Answer:

A. +, ÷, -, ×, =

Solution: 1) +, ÷, -, ×, = Given expression: 14 * 24 * 3 * 5 * 3 * 7 After replacing the *’s by the signs given on the option above, we get: 14 + 24 ÷ 3 - 5 × 3 = 7 => 14 + 8 – 15 = 7 => 22 – 15 = 7 => 7 = 7 2) +, ÷, ×, -, = Given expression: 14 * 24 * 3 * 5 * 3 * 7 After replacing the *’s by the signs given on the option above, we get: 14 + 24 ÷ 3 × 5 - 3 = 7 => 14 + 8 × 5 – 3 = 7 => 14 + 40 – 3 = 7 => 54 – 3 = 7 => 51 ≠ 7 3) ÷, +, ×, -, = Given expression: 14 * 24 * 3 * 5 * 3 * 7 After replacing the *’s by the signs given on the option above, we get: 14 ÷ 24 + 3 × 5 - 3 = 7 => 0.58 + 15 – 3 = 7 => 15.58 – 3 = 7 => 12.58 ≠ 7 4) +, ×, ÷, -, = Given expression: 14 * 24 * 3 * 5 * 3 * 7 After replacing the *’s by the signs given on the option above, we get: 14 + 24 × 3 ÷ 5 - 3 = 7 => 14 + 14.4 – 3 = 7 => 28.4 – 3 = 7 => 25.5 ≠ 7 Hence, ‘+, ÷, -, ×, =’ is the correct answer.