Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
32 * 14 * 18 * 9 * 12 * 22
Option 1: –, +, ÷, ×, =
Option 2: +, –, ÷, ×, =
Option 3: ×, +, ÷, –, =
Option 4: ÷, –, +, ×, =
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Correct Answer: +, –, ÷, ×, =
Solution :
Given:
32 * 14 * 18 * 9 * 12 * 22
Let's check the given options –
First option:
–, +, ÷, ×, =
⇒ 32 – 14 + 18 ÷ 9 × 12 = 22
Solving the L.H.S. of the equation –
= 32 – 14 + 2 × 12
= 32 – 14 + 24
= 56 – 14
= 42 ≠ 22
Second option:
+, –, ÷, ×, =
⇒ 32 + 14 – 18 ÷ 9 × 12 = 22
Solving the L.H.S. of the equation –
= 32 + 14 – 2 × 12
= 32 + 14 – 24
= 46 – 24
= 22 = R.H.S.
Third option:
×, +, ÷, –, =
⇒ 32 × 14 + 18 ÷ 9 – 12 = 22
Solving the L.H.S. of the equation –
=
32 × 14 + 2 – 12
= 178 + 2 – 12
= 180 – 12
= 168 ≠ 22
Fourth option:
÷, –, +, ×, =
⇒ 32 ÷ 14 – 18 + 9 × 12 = 22
Solving the L.H.S. of the equation –
= 2.28 – 18 + 9 × 12
= 2.28 – 18 + 108
= 110.28 – 18
= 92.28 ≠ 22
So, only the second option satisfies the given equation. Hence, the second option is correct.
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