If 'X' means '+', 'Y' means '-', 'Z' means '×', and 'W' means '÷', what is the value of the following expression? 15 W 3 X 2 Y 4…

Question

If 'X' means '+', 'Y' means '-', 'Z' means '×', and 'W' means '÷', what is the value of the following expression?

15 W 3 X 2 Y 4 = ?

1. A. 1
2. B. 3 (Correct answer)
3. C. 5
4. D. 7

Correct Answer

Option B — 3

Detailed Solution & Explanation

The correct answer is 3.

Key Points

• Substitute the symbols as defined: X → +, Y → −, Z → ×, W → ÷.
• The expression 15 W 3 X 2 Y 4 becomes 15 ÷ 3 + 2 − 4.
• Apply BODMAS: division first, 15 ÷ 3 = 5.
• Then work left to right: 5 + 2 = 7, and 7 − 4 = 3.

Additional Information

• Substitute first and apply precedence second. Evaluating in the written order before swapping is the error the distractors are built around.
• Under BODMAS, division and multiplication share a level and resolve left to right, as do addition and subtraction.
• Rewriting the converted expression on paper before evaluating takes a few seconds and eliminates nearly all mistakes in this question type, particularly when four different symbols have been reassigned.

प्रश्न (हिन्दी में)

यदि 'X' का अर्थ '+', 'Y' का अर्थ '-', 'Z' का अर्थ '×' और 'W' का अर्थ '÷' है, तो निम्नलिखित व्यंजक का मान क्या है?

15 W 3 X 2 Y 4 = ?

1. A. 1
2. B. 3
3. C. 5
4. D. 7