Question : Directions: Select the correct combination of the mathematical signs to replace Y in the below equation and thereby balance it.
16 Y 2 Y 3 Y 6 Y 4
Option 1: ÷, ×, =, –
Option 2: ×, ÷, =, –
Option 3: ÷, ×, =, ×
Option 4: ×, =, –, ÷
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Correct Answer: ÷, ×, =, ×
Solution :
Given:
16 Y 2 Y 3 Y 6 Y 4
Let's check each option –
First Option:
÷, ×, =, –
16 ÷ 2 × 3 = 6 – 4
L.H.S. = 16 ÷ 2 × 3 = 8 × 3 = 24
R.H.S. = 6 – 4 = 2
L.H.S. ≠ R.H.S.
Second Option:
×, ÷, =, –
16 × 2 ÷ 3 = 6 – 4
L.H.S. = 16 × 2 ÷ 3 = 16 × 0.67 =10.72
R.H.S. = 6 – 4 = 2
L.H.S. ≠ R.H.S.
Third Option:
÷, ×, =, ×
16 ÷ 2 × 3 = 6 × 4
L.H.S. = 16 ÷ 2 × 3 = 8 × 3 = 24
R.H.S. = 6 × 4 = 24
L.H.S. = R.H.S.
Fourth Option:
×, =, –, ÷
16 × 2 = 3 – 6 ÷ 4
L.H.S. = 16 × 2 = 32
R.H.S. = 3 – 6 ÷ 4 = 3 – 1.5 = 1.5
L.H.S. ≠ R.H.S.
So, only the third option satisfies the equation. Hence, the third option is correct.
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