Question : Directions: Select the correct combination of mathematical signs to sequentially fill in the equation and balance it.
45 * 9 * 3 * 25 * 55 * 15
Option 1: ÷, ×, –, =, ×
Option 2: ÷, ×, =, +, +
Option 3: +, =, ÷, ×, +
Option 4: ÷, ×, +, =, –
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Correct Answer: ÷, ×, +, =, –
Solution :
Given:
45 * 9 * 3 * 25 * 55 * 15
Replace * with the mathematical signs and solve the equation using the BODMAS.
Let's check the options –
First option:
÷, ×, –, =, ×
⇒ 45 ÷ 9 × 3 – 25 = 55 × 15
L.H.S. = 45 ÷ 9 × 3 – 25
= 5 × 3 – 25
= 15 – 25
= –10
R.H.S. = 55 × 15 = 825
L.H.S. ≠ R.H.S.
Second option:
÷, ×, =, +, +
⇒ 45 ÷ 9 × 3 = 25 + 55 + 15
L.H.S. = 45 ÷ 9 × 3
= 5 × 3
= 15
R.H.S. = 25 + 55 + 15 = 95
L.H.S. ≠ R.H.S.
Third option:
+, =, ÷, ×, +
⇒ 45 + 9 = 3 ÷ 25 × 55 + 15
L.H.S. = 45 + 9 = 54
R.H.S. = 3 ÷ 25 × 55 + 15
= 0.12 × 55 + 15
= 6.6 + 15
= 21.6
L.H.S. ≠ R.H.S.
Fourth option:
÷, ×, +, =, –
⇒ 45 ÷ 9 × 3 + 25 = 55 – 15
L.H.S. = 45 ÷ 9 × 3 + 25
= 5 × 3 + 25
= 15 + 25
= 40
R.H.S. = 55 – 15 = 40
L.H.S. = R.H.S.
So, only the fourth option satisfies the given equation. Hence, the fourth option is correct.
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