Question : Directions: Which two signs and two numbers (Not digits) should be interchanged in the given equation to make it correct?
9 ÷ 3 + 7 × 4 – 5 = 20
Option 1: ÷ and –, 5 and 4
Option 2: × and –, 3 and 5
Option 3: + and ×, 9 and 7
Option 4: ÷ and –, 7 and 5
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Correct Answer: + and ×, 9 and 7
Solution :
Given:
9 ÷ 3 + 7 × 4 – 5 = 20
Let's check the given options –
First Option:
÷ and –, 5 and 4
⇒ 9 – 3 + 7 × 5 ÷ 4 = 20
Solving the L.H.S. of the equation –
= 9 – 3 + 7 × 1.25
= 9 – 3 + 8.75
= 14.75
≠
20
Second option:
× and –, 3 and 5
⇒ 9 ÷ 5 + 7 – 4 × 3 = 20
Solving the L.H.S. of the equation –
= 1.8 + 7 – 4 × 3
= 1.8 + 7 – 12
= –3.2
≠
20
Third option:
+ and ×, 9 and 7
⇒ 7 ÷ 3 × 9 + 4 – 5 = 20
Solving the L.H.S. of the equation –
= 21 + 4 – 5
= 20
Fourth option:
÷ and –, 7 and 5
⇒ 9 – 3 + 5 × 4 ÷ 7 = 20
Solving the L.H.S. of the equation –
= 9 – 3 + 5 × 0.57
= 9 – 3 + 2.85
= 8.85
≠
20
So, only the third option satisfies the given equation. Hence, the third option is correct.
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