Question : Directions: In the following question, you have to identify the correct response from the given premises stated according to the following symbols:
If – stands for +; + stands for × and × stands for –; then which one of the following equations is not correct?
Option 1: 22 + 7 – 3 × 9 = 148
Option 2: 33 × 5 – 10 + 20 = 228
Option 3: 7 + 28 – 3 × 52 = 127
Option 4: 44 – 9 + 6 × 11 = 87
Correct Answer: 7 + 28 – 3 × 52 = 127
Solution :
Given:
– stands for +; + stands for × and × stands for –.
Let's check the options –
First option:
22 + 7 – 3 × 9 = 148
On replacing ⇒ 22 × 7 + 3 – 9 = 148
Solving the L.H.S. of the equation –
= 22 × 7 + 3 – 9
= 154 + 3 – 9
= 157 – 9
= 148 = R.H.S.
Second option:
33 × 5 – 10 + 20 = 228
On replacing ⇒ 33 – 5 + 10 × 20 = 228
Solving the L.H.S. of the equation –
= 33 – 5 + 10 × 20
= 33 – 5 + 200
= 233 – 5
= 228 = R.H.S.
Third option
: 7 + 28 – 3 × 52 = 127
On replacing ⇒ 7 × 28 + 3 – 52 = 127
Solving the L.H.S. of the equation –
= 7 × 28 + 3 – 52
= 196 + 3 – 52
= 199 – 52
= 147 ≠ 127
Fourth option:
44 – 9 + 6 × 11 = 87
On replacing ⇒ 44 + 9 × 6 – 11 = 87
Solving the L.H.S. of the equation –
= 44 + 9 × 6 – 11
= 44 + 54 – 11
= 98 – 11
= 87 = R.H.S.
So, only the third option doesn't satisfy the R.H.S. of the given equation. Hence, the third option is correct.
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