Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
5 * 23 * 24 * 4 * 10 * 111
Option 1: ÷, +, –, ×, =
Option 2: –, ×, +, ÷, =
Option 3: ×, +, ÷, –, =
Option 4: +, –, ÷, ×, =
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Correct Answer: ×, +, ÷, –, =
Solution :
Given:
5 * 23 * 24 * 4 * 10 * 111
Let's check the given options –
First option:
÷, +, –, ×, =
⇒ 5 ÷ 23 + 24 – 4 × 10 = 111
Solving the L.H.S. of the equation –
= 5 ÷ 23 + 24 – 4 × 10
= 0.22 + 24 – 4 × 10
= 0.22 + 24 – 40
= 24.22 – 40
= –15.78 ≠ 111
Second option:
–, ×, +, ÷, =
⇒ 5 – 23 × 24 + 4 ÷10 = 111
Solving the L.H.S. of the equation –
= 5 – 23 × 24 + 4 ÷10
= 5 – 23 × 24 + 0.4
= 5 – 552 + 0.4
= 5.4 – 552
= –546.6 ≠ 111
Third option:
×, +, ÷, –, =
⇒ 5 × 23 + 24 ÷ 4 – 10 = 111
Solving the L.H.S. of the equation –
= 5 × 23 + 24 ÷ 4 – 10
= 5 × 23 + 6 – 10
= 115 + 6 – 10
= 121 – 10
= 111 = R.H.S.
Fourth option:
+, –, ÷, ×, =
⇒ 5 + 23 – 24 ÷ 4 × 10 = 111
Solving the L.H.S. of the equation –
= 5 + 23 – 24 ÷ 4 × 10
= 5 + 23 – 6 × 10
= 5 + 23 – 60
= 28 – 60
= –32 ≠ 111
So, only the third option satisfies the given equation. Hence, the third option is correct.
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