If + means ×, × means −, ÷ means + and − means ÷, then 175 − 25 ÷ 5 + 20 × 3 + 10 equals to:

Question

If + means ×, × means −, ÷ means + and − means ÷, then 175 − 25 ÷ 5 + 20 × 3 + 10 equals to:

1. A. 77 (Correct answer)
2. B. 87
3. C. 140
4. D. 70

Correct Answer

Option A — 77

Detailed Solution & Explanation

The correct answer is 77.

Key Points

• This is a symbol substitution question.
• First replace every symbol with the meaning given in the question: + means ×, × means −, ÷ means +, and − means ÷.
• The expression 175 − 25 ÷ 5 + 20 × 3 + 10 therefore becomes 175 ÷ 25 + 5 × 20 − 3 × 10.
• Now apply the BODMAS rule — division and multiplication before addition and subtraction:
• 175 ÷ 25 = 7; 5 × 20 = 100; 3 × 10 = 30.
• The expression reduces to 7 + 100 − 30 = 77, so option (A) is correct.

Exam Tip

• the two-step discipline matters — first substitute all symbols, rewrite the full expression, and only then apply BODMAS.
• Candidates who try to substitute and calculate simultaneously almost always slip on such questions.

प्रश्न (हिन्दी में)

यदि + का अर्थ ×, × का अर्थ −, ÷ का अर्थ + तथा − का अर्थ ÷, तब 175 − 25 ÷ 5 + 20 × 3 + 10 के समान है:

1. A. 77
2. B. 87
3. C. 140
4. D. 70