Question
Download Solution PDFSelect the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
59 * 12 * 6 * 24 * 2 * 105
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
59 * 12 * 6 * 24 * 2 * 105
1. Option (1): −, +, −, +, =
Equation: 59 − 12 + 6 − 24 + 2 = 105
⇒ 59 - 12 + 6 - 24 + 2
⇒ 59 + 6 + 2 - (12 + 24)
⇒ 68 - 36
⇒ 32 ≠ 105
Hence, Option (1) is not correct.
2. Option (2): ×, −, +, ×, =
Equation: 59 × 12 - 6 + 24 × 2 = 105
⇒ 708 - 6 + 48
⇒ 702 + 48
⇒ 750 ≠ 105
Hence the option (2) is not correct.
3. Option (3): +, ×, +, −, =
Equation: 59 + 12 × 6 + 24 - 2 = 105
⇒ 59 + 72 + 24 - 2
⇒155 - 2
⇒ 155 ≠ 153
Hence the option (3) is not correct.
4. Option (4): −, ÷, +, ×, =
Equation: 59 - 12 ÷ 6 + 24 × 2 = 105
⇒ 59 - 2 + 48
⇒ 107 - 2
⇒ 105 = 105
Hence, the correct option is Option (4).
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