Question : Directions: In the following question, you have to identify the correct response from the given premises stated according to the following symbols.
If + means ÷, × means +, – means ×, and ÷ means –, then which of the following equations is correct?
Option 1: 36 × 6 + 3 – 2 < 20
Option 2: 36 × 6 + 3 × 2 = 20
Option 3: 36 + 6 × 3 + 2 = 20
Option 4: 36 + 6 – 3 × 2 = 20
Correct Answer: 36 + 6 – 3 × 2 = 20
Solution :
Given:
+ means ÷, × means +, – means ×, and ÷ means –
Let's check the options –
First option:
36 × 6 + 3 – 2 < 20
= 36 + 6 ÷ 3 × 2
= 36 + 2 × 2
= 36 + 4
= 40 > 20; L.H.S. is not smaller than R.H.S.
Second option:
36 × 6 + 3 × 2 = 20
= 36 + 6 ÷ 3 + 2
= 36 + 2 + 2
= 40 ≠ 20; L.H.S. ≠ R.H.S.
Third option:
36 + 6 × 3 + 2 = 20
= 36 ÷ 6 + 3 ÷ 2
= 6 + 1.5
= 7.5 ≠ 20; L.H.S. ≠ R.H.S.
Fourth option:
36 + 6 – 3 × 2 = 20
= 36 ÷ 6 × 3 + 2 = 20
= 6 × 3 + 2
= 18 + 2
= 20; L.H.S. = R.H.S.
So, only the fourth option satisfies the equation. Hence, the fourth option is correct.
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