Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
(440 * 11) * 85 * 57 * (34 * 3)
Option 1: +, −, =, ÷, +
Option 2: ×, =, −, ÷, +
Option 3: +, ×, =, ÷, +
Option 4: ÷, −, =, −, ×
Correct Answer: ÷, −, =, −, ×
Solution :
Given:
(440 * 11) * 85 * 57 * (34 * 3)
Let's check the given options –
First option:
+, −, =, ÷, +
⇒ (440 + 11) − 85 = 57 ÷ (34 + 3)
L.H.S. = 451 − 85 = 366
R.H.S. = 57 ÷ 37 = 1.54
L.H.S. ≠ R.H.S.
Second option:
×, =, −, ÷, +
⇒ (440 × 11) = 85 − 57 ÷ (34 + 3)
L.H.S. = (440 × 11) = 4840
R.H.S. = 85 − 57 ÷ 37 = 85 − 1.54 = 83.46
L.H.S. ≠ R.H.S.
Third option:
+, ×, =, ÷, +
⇒ (440 + 11) × 85 = 57 ÷ (34 + 3)
L.H.S. = 451 × 85 = 38335
R.H.S. = 57 ÷ 37 = 1.54
L.H.S. ≠ R.H.S.
Fourth option:
÷, −, =, −, ×
⇒ (440 ÷ 11) − 85 = 57 − (34 × 3)
L.H.S. = 40 − 85 = –45
R.H.S. = 57 − 102 = –45
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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