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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