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If ‘□’ means ‘×’, ‘○’ means ‘+’, ‘D’ means ‘÷’ and ‘à’ means ‘–’, then which of the following equation is correct? I. 30 □ 15 ○ 40 à 100 D 10 =
Question

If ‘□’ means ‘×’, ‘○’ means ‘+’, ‘D’ means ‘÷’ and ‘à’ means ‘–’, then which of the following
equation is correct?
I. 30 □ 15 ○ 40 à 100 D 10 = 460
II. 80 D 20 □ 30 ○ 40 à 50 = 110

A.

Neither I nor II

B.

Only I

C.

Only II

D.

Both I and II

Correct option is C


Evaluate the expressions:
· ‘□’ means ‘×’ (multiplication)
· ‘○’ means ‘+’ (addition)
· ‘D’ means ‘÷’ (division)
· ‘à’ means ‘–’ (subtraction)
Analyzing Each Equation
Equation I: 30 □ 15 ○ 40 à 100 D 10
Replace the symbols with actual operations:
· 30 × 15 + 40 - 100 ÷ 10
Now, follow the order of operations:
1. Perform multiplication and division first:
· 30 × 15 = 450
· 100 ÷ 10 = 10
2. Substitute these results back into the expression:
· 450 + 40 - 10
3. Now perform addition and subtraction:
· 450 + 40 = 490
· 490 - 10 = 480
So, Equation I evaluates to 480, not 460. Therefore, Equation I is incorrect.
Equation II: 80 D 20 □ 30 ○ 40 à 50
Replace the symbols with actual operations:
· 80 ÷ 20 × 30 + 40 - 50
Now, follow the order of operations:
1. Perform multiplication and division first:
· 80 ÷ 20 = 4
· 4 × 30 = 120
2. Substitute these results back into the expression:
· 120 + 40 - 50
3. Now perform addition and subtraction:
· 120 + 40 = 160
· 160 - 50 = 110
So, Equation II evaluates to 110, which matches the right side of the equation.
Conclusion
The correct answer is: Only II

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