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Question

If x means +, + means ÷, - means x and ÷ means -, then 8x7-8+40÷2 = ?

This question was previously asked in
SSC CGL 2016 (Tier 1) Previous Year Question Paper (11-Sep-2016) (Shift 2)
The correct answer is
37/5

This question tests your understanding of arithmetic operations and symbol substitution.

Step 1: Replace the symbols

The given equation is: 8x7-8+40÷2 = ?

Replacing the symbols according to the given conditions (x means +, + means ÷, - means x, ÷ means -):

The equation becomes: 8 + 7 x 8 ÷ 40 - 2 = ?

Step 2: Apply the order of operations (BODMAS/PEMDAS)

Following the order of operations (Brackets, Orders, Division and Multiplication, Addition and Subtraction), we perform the calculations:

  1. Multiplication and Division (from left to right): 7 x 8 = 56; 56 ÷ 40 = 56/40 = 7/5
  2. Addition and Subtraction (from left to right): 8 + 7/5 - 2
  3. To add and subtract fractions, we find a common denominator, which is 5 in this case:
  4. (40 + 7 - 10)/5 = 37/5

Step 3: Determine the answer

Therefore, the final answer is 37/5.

Step 4: Eliminate incorrect options

  • Option 1 (1): Incorrect because it doesn't follow the order of operations and symbol substitutions correctly.
  • Option 2 (37/5): Correct as shown in the step-by-step solution above.
  • Option 3 (8 3/5): Incorrect. This is a miscalculation of 37/5. (37/5 = 7.4 or 7 2/5)
  • Option 4 (44): Incorrect. This is a completely wrong calculation resulting from not following the order of operations and ignoring symbol changes.

Final Answer: 37/5

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