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What will come in place of the question mark (?) in the following equation if ‘–’ and ‘+’ are interchanged and ‘÷’ and ‘×’ are interchanged?

(7−4)÷(9−3)×(9+3)=?(7 - 4) \div (9 - 3) \times (9 + 3) = ?

A12

B11

C22

D6

Answer:

C. 22

Read Explanation:

The value that will come in place of the question mark is 22.

  1. Interchange the signs:

    • Swap − and +

    • Swap ÷ and ×

    Original Equation: (7−4)÷(9−3)×(9+3)=?\text{Original Equation: } (7 - 4) \div (9 - 3) \times (9 + 3) = ?
    New Equation: (7+4)×(9+3)÷(9−3)=?\text{New Equation: } (7 + 4) \times (9 + 3) \div (9 - 3) = ?

  2. Solve inside the parentheses first:

    • (7+4)=11(7 + 4) = 11

    • (9+3)=12(9 + 3) = 12

    • (9−3)=6(9 - 3) = 6

  3. Substitute values and compute using BODMAS/order of operations:
    11×12÷6=?11 \times 12 \div 6 = ?
    Perform the division first:
    12÷6=212 \div 6 = 2
    Then multiply:
    11×2=2211 \times 2 = 22


Related Questions:

Which two signs should be interchanged to make the given equation correct?

28−28÷14+7×2=1628 - 28 \div 14 + 7 \times 2 = 16

- എന്നാൽ ÷ എന്നും, + എന്നാൽ × എന്നും, ÷ എന്നാൽ - എന്നും , × എന്നാൽ '+' എന്നുമായാൽ താഴെ തന്നിട്ടുള്ളവയിൽ ശരിയായ പ്രസ്താവന ഏത്?

In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Select the set 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 their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

56, 63.4

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What will come in the place of the question mark (?) in the following equation, if '+' and '-' are interchanged and 'x' and '÷' are interchanged? 2 ÷ 70 x 2 - 30 + 30 = ?