Question : Directions: In the following question, correct the equation by interchanging the two signs.
6 ÷ 17 × 51 + 6 – 12 = –4
Option 1: × and ÷
Option 2: + and ÷
Option 3: + and –
Option 4: – and ÷
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Correct Answer: × and ÷
Solution :
Given:
6 ÷ 17 × 51 + 6 – 12 = –4
Let's check the options –
First option:
× and ÷
⇒ 6 × 17 ÷ 51 + 6 – 12 = –4
Solving the L.H.S. of the equation –
=
6 × 17 ÷ 51 + 6 – 12
= 2 + 6 – 12
= 8 – 12
= –4
Second option:
+ and ÷
⇒ 6 + 17 × 51 ÷ 6 – 12 = –4
Solving the L.H.S. of the equation –
= 6 + 17 × 51 ÷ 6 – 12
= 6 + 17 × 8.5 – 12
= 6 + 144.5 – 12
= 150.5 – 12
= 138.5
≠
–4
Third option:
+ and –
⇒ 6 ÷ 17 × 51 – 6 + 12 = –4
Solving the L.H.S. of the equation –
=
6 ÷ 17 × 51 – 6 + 12
= 18 – 6 + 12
= 30 – 6
= 24
≠
–4
Fourth option:
– and ÷
⇒ 6 – 17 × 51 + 6 ÷ 12 = –4
Solving the L.H.S. of the equation –
=
6 – 17 × 51 + 6 ÷ 12
= 6 – 17 × 51 + 0.5
= 6 – 867 + 0.5
= 6.5 – 867
= –860.5
≠
–4
Only the first option satisfies the equation. Hence, the first option is correct.
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