Question : Directions: Which two signs should be interchanged to make the given equation correct?
1664 ÷ 4 × 2 + 712 – 316 = 436
Option 1: ÷ and +
Option 2: ÷ and –
Option 3: – and +
Option 4: + and ×
Correct Answer: – and +
Solution :
Given:
1664 ÷ 4 × 2 + 712 – 316 = 436
Interchange the signs given in the options one by one with the signs in the given equation
–
First option:
÷ and +
= 1664 + 4 × 2 ÷ 712 – 316
= 1664 + 4 × 0.0028 – 316
= 1664 + 0.0112 – 316
= 1664.0112 – 316
= 1348.0112
≠
436
Second option:
÷ and –
= 1664 – 4 × 2 + 712 ÷ 316
= 1664 – 4 × 2 + 2.25
= 1664 – 8 + 2.25
= 1666.25 – 8
= 1658.25
≠
436
Third option:
– and +
= 1664 ÷ 4 × 2 – 712 + 316
= 416 × 2 – 712 + 316
= 832 – 712 + 316
= 1148 – 712
= 436 =
R.H.S.
Fourth option:
+ and ×
= 1664 ÷ 4 + 2 × 712 – 316
= 416 + 2 × 712 – 316
= 416 + 1424 – 316
= 1840 – 316
= 1524
≠
436
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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