Question : Directions: Which two signs should be interchanged to make the given equation correct?
114 ÷ 85 + 5 × 4 – 33 = 149
Option 1: ÷ and +
Option 2: ÷ and –
Option 3: + and ×
Option 4: – and +
Correct Answer: ÷ and +
Solution :
Given:
114 ÷ 85 + 5 × 4 – 33 = 149
Interchange the signs according to the given option.
Let's check each option –
First option:
÷ and +
114 + 85 ÷ 5 × 4 – 33 = 149
L.H.S.→114 + 17 × 4 – 33
114 + 68 – 33
149 = 149
Second option:
÷ and –
114 – 85 + 5 × 4 ÷ 33 = 149
L.H.S.→114 – 85 + 5 × 0.121
144 – 85 + 0.605 = 59.605
59.605
≠ 149
Third Option:
+ and ×
114 ÷ 85 × 5 + 4 – 33 = 149
L.H.S.→1.34 × 5 + 4 – 33
6.7 + 4 – 33 = –22.3
–22.3
≠ 149
Fourth option:
– and +
114 ÷ 85 – 5 × 4 + 33 = 149
L.H.S.→1.34 – 20 + 33 = 14.34
14.34
≠ 149
So, only the first option satisfies the equation. Hence, the first option is correct.
Hence, the
first option
is correct.
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