Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * and balance the given equation.
76 * 34 * 23 * 12 * 6 * 21
Option 1: +, –, +, ÷, =
Option 2: –, –, +, +, =
Option 3: ×, –, +, ÷, =
Option 4: –, –, +, ÷, =
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Correct Answer: –, –, +, ÷, =
Solution :
Given:
76 * 34 * 23 * 12 * 6 * 21
On replacing * with the mathematical signs, we get
–
First option:
+, –, +, ÷, =
⇒ 76 + 34 – 23 + 12 ÷ 6 = 21
Solving the L.H.S. of the equation –
= 76 + 34 – 23 + 12 ÷ 6
= 76 + 34 – 23 + 2
= 110 – 25
= 85
≠
21
Second option:
–, –, +, +, =
⇒ 76 – 34 – 23 + 12 + 6 = 21
Solving the L.H.S. of the equation –
= 76 – 34 – 23 + 12 + 6
= 94 – 57
= 37
≠
21
Third option:
×, –, +, ÷, =
⇒ 76 × 34 – 23 + 12 ÷ 6 = 21
Solving the L.H.S. of the equation –
= 76 × 34 – 23 + 12 ÷ 6
= 76 × 34 – 23 + 2
= 2584 – 23 + 2
= 2586 – 23
= 2563
≠
21
Fourth option:
–, –, +, ÷, =
⇒ 76 – 34 – 23 + 12 ÷ 6 = 21
Solving the L.H.S. of the equation –
= 76 – 34 – 23 + 2
= 78 – 57
= 21 = R.H.S.
So, only the fourth option satisfies the given equation. Hence, the fourth option is correct.
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