Question : Directions: Select the correct combination of mathematical signs to sequentially fill in the symbols and to balance the given equation.
56 * 8 * 4 * 7 * 50 * 15
Option 1: +, =, ÷, ×, +
Option 2: ÷, ×, =, +, +
Option 3: ÷, ×, –, =, ×
Option 4: ÷, ×, +, =, –
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Correct Answer: ÷, ×, +, =, –
Solution :
Given:
56 * 8 * 4 * 7 * 50 * 15
Let’s check the options –
First option:
+, =, ÷, ×, +
⇒ 56 + 8 = 4 ÷ 7 × 50 + 15
L.H.S. = 56 + 8 = 64
R.H.S. = 4 ÷ 7 × 50 + 15
= 0.571 × 50 + 15
= 28.55 + 15
= 43.55
L.H.S.
≠
R.H.S.
Second option:
÷, ×, =, +, +
⇒ 56 ÷ 8 × 4 = 7 + 50 + 15
L.H.S. = 56 ÷ 8 × 4 = 7 × 4 = 28
R.H.S. = 7 + 50 + 15 = 72
L.H.S.
≠
R.H.S.
Third option:
÷, ×, –, =, ×
⇒ 56 ÷ 8 × 4 – 7 = 50 × 15
L.H.S. = 56 ÷ 8 × 4 – 7
= 7 × 4 – 7
= 28 – 7
= 21
R.H.S. = 50 × 15 = 750
L.H.S.
≠
R.H.S.
Fourth option:
÷, ×, +, =, –
⇒ 56 ÷ 8 × 4 + 7 = 50 – 15
L.H.S. = 56 ÷ 8 × 4 + 7
= 7 × 4 + 7
= 28 + 7
= 35
R.H.S. = 50 – 15 = 35
L.H.S. = R.H.S.
So, only the fourth option satisfies the equation. Hence, the fourth option is correct.
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