Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
(130 * 4) * 21 * 485 * (28 * 2)
Option 1: +, −, =, −, ×
Option 2: ÷, +, =, −, ×
Option 3: ×, −, =, −, ÷
Option 4: ×, −, =, +, ÷
Correct Answer: ×, −, =, +, ÷
Solution :
Given:
(130 * 4) * 21 * 485 * (28 * 2)
Let's check the options −
First option:
+, −, =, −, ×
⇒ (130 + 4) − 21 = 485 − (28 × 2)
L.H.S. = (130 + 4) − 21 = 134 − 21 = 113
R.H.S. = 485 − (28 × 2) = 485 − 56 = 429
L.H.S. ≠ R.H.S.
Second option:
÷, +, =, −, ×
⇒ (130 ÷ 4) + 21 = 485 − (28 × 2)
L.H.S. = (130 ÷ 4) + 21 = 32.5 + 21 = 53.5
R.H.S. = 485 − (28 × 2) = 485 − 56 = 429
L.H.S. ≠ R.H.S.
Third option:
×, −, =, −, ÷
⇒ (130 × 4) − 21 = 485 − (28 ÷ 2)
L.H.S. = (130 × 4) − 21 = 520 − 21 = 499
R.H.S. = 485 − (28 ÷ 2) = 485 − 14 = 471
L.H.S. ≠ R.H.S.
Fourth option:
×, −, =, +, ÷
⇒ (130 × 4) − 21 = 485 + (28 ÷ 2)
L.H.S. = (130 × 4) − 21 = 520 − 21 = 499
R.H.S. = 485 + (28 ÷ 2) = 485 + 14 = 499
L.H.S. = R.H.S.
Hence, the fourth option is correct.
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