Question : Directions: In the following question, using which mathematical operators will the expression become correct? 9 ? 3 ? 6 ? 8 ? 4
Option 1: –, ×, =, and ×
Option 2: ÷, +, >, and +
Option 3: +, ×, <, and ×
Option 4: ×, +, <, and ×
Correct Answer: +, ×, <, and ×
Solution : Given: 9 ? 3 ? 6 ? 8 ? 4
Let's check the options – First option: –, ×, =, and × ⇒ 9 – 3 × 6 = 8 × 4 L.H.S. = 9 – 3 × 6 = 9 – 18 = –9 R.H.S. = 8 × 4 = 32 L.H.S. ≠ R.H.S. Second option: ÷, +, >, and +; ⇒ 9 ÷ 3 + 6 > 8 + 4 ⇒ 3 + 6 > 12 ⇒ 9 is not greater than 12 L.H.S. is not greater than R.H.S. Third option: +, ×, <, and ×; ⇒ 9 + 3 × 6 < 8 × 4 ⇒ 9 + 18 < 32 ⇒ 27 < 32 L.H.S. is smaller than R.H.S. Fourth option: ×, +, <, and ×; ⇒ 9 × 3 + 6 < 8 × 4 ⇒ 27 + 6 < 32 ⇒ 33 is not smaller than 32 L.H.S. is not smaller than R.H.S.
So, only the third option satisfies the equation. Hence, the third option is correct.
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