Question : Directions: Which two numbers and two signs should be interchanged to make the given equation correct?
5 + 44 − 8 × 25 = 203
Option 1: 8, 5 and −, +
Option 2: 8, 44 and −, +
Option 3: 8, 5 and −, ×
Option 4: 8, 44 and −, ×
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Correct Answer: 8, 5 and −, ×
Solution :
Given:
5 + 44 − 8 × 25 = 203
Replace the given signs and numbers in the options one by one with the original signs and numbers in the given equation.
First option:
8, 5 and −, +
= 8 − 44 + 5 × 25 = 203
= 8 − 44 + 125
= 89 ≠ 203
Second option:
8, 44 and −, +
= 5 − 8 + 44 × 25 = 203
= 5 − 8 + 1100
= 1097 ≠ 203
Third option:
8, 5 and −, ×
= 8 + 44 × 5 − 25 = 203
= 8 + 220 − 25
= 228 − 25
= 203 = R.H.S.
Fourth option:
8, 44 and −, ×
= 5 + 8 × 44 − 25 = 203
= 5 + 352 − 25
= 332 ≠ 203
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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