Question : Directions: Select the combination of mathematical signs that when sequentially placed in the blanks of the given equation will balance the equation.
(157_13)_36_1_5
Option 1: +, ÷, –, =
Option 2: –, ÷, +, =
Option 3: +, –, ÷, =
Option 4: ÷, –, +, =
Correct Answer: –, ÷, +, =
Solution :
Given:
(157_13)_36_1_5
Let's check each option –
First Option:
+, ÷, –, =
(157 + 13) ÷ 36 – 1 = 5
L.H.S. = 170 ÷ 36 – 1
= 4.722 – 1
= 3.722 ≠ 5
Second Option:
–, ÷, +, =
(157 – 13) ÷ 36 + 1 = 5
L.H.S. = 144 ÷ 36 + 1
= 4 + 1
= 5
Third Option:
+, –, ÷, =
(157 + 13) – 36 ÷ 1 = 5
L.H.S. = 170 – 36 ÷ 1
= 170 – 36
= 134 ≠ 5
Fourth Option:
÷, –, +, =
(157 ÷ 13) – 36 + 1 = 5
L.H.S. = 12.08 – 36 + 1
= 13.08 – 36
= –22.92 ≠ 5
So, only the second option satisfies the equation. Hence, the second option is correct.
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