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 –, × means +, then which of the following equations is correct?
Option 1: 43 × 7 ÷ 5 + 4 – 8 = 25
Option 2: 48 ÷ 5 + 8 × 10 – 2 = 13
Option 3: 36 × 4 – 12 + 5 ÷ 3 = 420
Option 4: 42 + 5 ÷ 6 × 8 – 3 = 28
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Correct Answer: 48 ÷ 5 + 8 × 10 – 2 = 13
Solution :
Given:
– means ÷, + means ×, ÷ means –, × means +.
Let's check the options –
First option:
43 × 7 ÷ 5 + 4 – 8 = 25
=
43 + 7 – 5 × 4 ÷ 8
= 43 + 7 – 5 × 0.5
= 43 + 7 – 2.5
= 47.5 ≠ 25
Second option:
48 ÷ 5 + 8 × 10 – 2 = 13
= 48 – 5 × 8 + 10 ÷ 2
= 48 – 5 × 8 + 5
= 48 – 40 + 5
= 13 = R.H.S.
Third option:
36 × 4 – 12 + 5 ÷ 3 = 420
=
36 + 4 ÷ 12 × 5 – 3
= 36 + 0.33 × 5 – 3
= 36 + 1.65 – 3
= 34.65 ≠ 420
Fourth option:
42 + 5 ÷ 6 × 8 – 3 = 28
=
42 × 5 – 6 + 8 ÷ 3
= 42 × 5 – 6 + 2.67
= 210 – 6 + 2.67
= 206.67 ≠ 28
So, only the second option satisfies the given condition. Hence, the second option is correct.
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