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Question

If + means -, - means x, x means ÷, ÷ means +, what will come in place of the question mark (?) in the given equation?

70 × 2 – 4 ÷ 60 + 150 = ?

This question was previously asked in
PYST : General Awareness - SSC Stenographer 2024 (Tier-I) (10-Dec-2024) (Shift 2)
The correct answer is
50

Let's solve this question step-by-step by substituting the given meanings of the symbols:

  • + means -
  • - means ×
  • × means ÷
  • ÷ means +

The given equation is:

70 × 2 – 4 ÷ 60 + 150 = ?

Substituting the meanings, we get:

70 ÷ 2 × 4 + 60 - 150 = ?

Now, following the order of operations (division and multiplication from left to right, then addition and subtraction from left to right):

  1. \(70 ÷ 2 = 35\)
  2. \(35 × 4 = 140\)
  3. \(140 + 60 = 200\)
  4. \(200 - 150 = 50\)

Therefore, the solution to the equation is 50.

The correct answer is 50. The core concept here is to systematically replace each symbol with its new meaning as defined in the problem. Careful attention to the order of operations is crucial to obtain the correct result. Incorrect application of the order of operations can lead to wrong answers. Each operation should be performed sequentially after substituting the symbol. This problem tests the understanding of mathematical operations and the ability to follow instructions accurately. It underscores the importance of reading comprehension and meticulous calculation in problem-solving. Misinterpreting the symbol substitutions is a common pitfall in these types of questions, leading to calculation errors. Thus, a step-by-step approach ensures accuracy. The ability to translate symbols and systematically apply the rules of arithmetic is what leads to the correct answer.

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Similar Questions

  1. Which two numbers (not digits) should be interchanged to make the given equation correct? 

    21 × 8 – 18 + (64 ÷ 2) + 32 = 64

  2. The two expressions on either side of the equal sign will have the same value if two numbers on the left-hand side are interchanged and two signs on the right-hand side are interchanged. What are those two numbers (not digits) and the two signs? 

    9 × 1 ÷ 3 + 8 – 7 = 12 ÷ 3 + 2 × 33 – 13

  3. The two expressions on either side of the equal sign will have the same value if two numbers on the left-hand side are interchanged and two signs on the right-hand side are interchanged. 

    What are those two numbers (not digits) and the two signs? 

    4 × 3 ÷ 6 + 2 - 8 = 10 + 2 × 3 ÷ 5 - 18

  4. 4 is related to 125 following a certain logic. Following the same logic, 8 is related to 729. Which of the following numbers is related to 1728 using the same logic?
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  7. If 'A' stands for '+', 'B' stands for '-', 'C' stands for 'x' and 'D' stands for '÷', what will come in place of the question mark in the following equation? 

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Important Questions from Mathematical Operations

  1. Which two numbers (not digits) should be interchanged to make the given equation correct? 

    21 × 8 – 18 + (64 ÷ 2) + 32 = 64

  2. The two expressions on either side of the equal sign will have the same value if two numbers on the left-hand side are interchanged and two signs on the right-hand side are interchanged. What are those two numbers (not digits) and the two signs? 

    9 × 1 ÷ 3 + 8 – 7 = 12 ÷ 3 + 2 × 33 – 13

  3. Select the set, from the given options, in which the numbers are related in the same way as are the numbers of the following sets.

    (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

    (6, 13, 78)

    (5, 22, 110)

  4. If + means -, - means ×, × means ÷, ÷ means +, then what will come in place of the question mark (?) in the following equation?

    28 - 6 ÷ 4 + 14 × 14 = ?

  5. In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is the same as that on the right side of :: ?

    (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 Operations on 13 such as adding/subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

    X : 649 :: 956 : Y

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