Question : Directions: Select the correct combination of mathematical signs to sequentially fill in the boxes and to balance the given equation.
12 * 8 * 3 * 2 * 5 * 1 * 5 * 10
Option 1: –, +, ×, ×, ÷, ×, =
Option 2: ×, –, +, ×, ÷, ×, =
Option 3: ×, ÷, ×, ×, =, –, +
Option 4: –, +, ×, ÷, ×, ×, =
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Correct Answer: –, +, ×, ÷, ×, ×, =
Solution :
Given:
12 * 8 * 3 * 2 * 5 * 1 * 5 * 10
Replace the mathematical signs as given in the options –
First option:
–, +, ×, ×, ÷, ×, =
⇒ 12 – 8 + 3 × 2 × 5 ÷ 1 × 5 = 10
⇒ 12 – 8 + 3 × 2 × 5 × 5 = 10
⇒ 12 – 8 + 150 = 10
⇒ 162 – 8 = 10
⇒ 154 ≠ 10
Second option:
×, –, +, ×, ÷, ×, =
⇒ 12 × 8 – 3 + 2 × 5 ÷ 1 × 5 = 10
⇒ 12 × 8 – 3 + 2 × 5 × 5 = 10
⇒ 96 – 3 + 50 = 10
⇒ 146 – 3 = 10
⇒ 143 ≠ 10
Third option:
×, ÷, ×, ×, =, –, +
⇒ 12 × 8 ÷ 3 × 2 × 5 = 1 – 5 + 10
⇒ 320 = 11 – 5
⇒ 320 ≠ 6
Fourth option:
–, +, ×, ÷, ×, ×, =
⇒ 12 – 8 + 3 × 2 ÷ 5 × 1 × 5 = 10
⇒ 12 – 8 + 6 = 10
⇒ 18 – 8 = 10
⇒ 10 = R.H.S.
So, from the above, only the fourth option satisfies the given equation. Hence, the fourth option is correct.
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