Mathematical operation and symbol notation

  1. If '+' means 'minus', '-' means 'multiply', '÷' means 'plus' and 'x' means 'divide', then 10 x 5 ÷ 3 - 2 + 3 = ?
    1. 5
    2. 53/3
    3. 21
    4. 36
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    ? = 10 x 5 ÷ 3 - 2 + 3
    As per question
    = 10 ÷ 5 + 3 x 2 - 3

    Apply the rule BODMAS

    B -Brackets first
    O -Orders (i.e. Powers and Square Roots, etc.)
    DM -Division and Multiplication (left-to-right)
    AS -Addition and Subtraction (left-to-right)

    Correct Option: A

    ? = 10 x 5 ÷ 3 - 2 + 3
    = 10 ÷ 5 + 3 x 2 - 3
    Apply the rule BODMAS
    Do things in Brackets First
    (Powers, Roots) before Multiply, Divide, Add or Subtract.
    Multiply or Divide before you Add or Subtract
    = 10 ÷ 5 + 3 x 2 - 3
    = 2 + 3 x 2 - 3
    Addition
    = 2 + 6 - 3
    Subtraction
    = 8 - 3 = 5

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  1. If "T" means (x), 'U' means (-) , 'X' means (÷) and W means (+), then what will be the value of the following expression ?

    (50 X 2) W (28 T 4 )
    1. 142
    2. 158
    3. 137
    4. 163
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    Given expression, (50 x 2) W (28 T 4)
    After interchanging the letters with symbols, we get
    (50 ÷ 2) + (28 x 4)

    Correct Option: C

    Given expression, (50 x 2) W (28 T 4)
    After interchanging the letters with symbols, we get
    (50 ÷ 2) + (28 x 4) = 25 + 112 = 137

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  1. Select the correct combination of mathematical signs to replace the * signs and to balance the given equation.
    40 * 2 * 4 * 3 * 8
    1. + - ÷ =
    2. ÷ + = x
    3. + ÷ x =
    4. + x - =
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    Given, 40* 2* 4 * 3 * 8
    Let us check all the options one by one.
    From option (a), putting the signs in given equation, we get
    40 + 2 - 4 ÷ 3
    = 8 ⇒ 42 - 4/3 = 8
    ⇒ 126 - 4 = 24 ⇒ 122 = 24
    ∴ L H S ≠ R H S
    So, option (a) is incorrect.
    From option (b), putting the signs in given equation, we get
    40 ÷ 2 + 4 = 3 x 8
    ⇒ 20 + 4 = 24 ⇒ 24 = 24

    Correct Option: B

    Given, 40* 2* 4 * 3 * 8
    Let us check all the options one by one.
    From option (a), putting the signs in given equation, we get
    40 + 2 - 4 ÷ 3
    = 8 ⇒ 42 - 4/3 = 8
    ⇒ 126 - 4 = 24 ⇒ 122 = 24
    ∴ L H S ≠ R H S
    So, option (a) is incorrect.
    From option (b), putting the signs in given equation, we get
    40 ÷ 2 + 4 = 3 x 8
    ⇒ 20 + 4 = 24 ⇒ 24 = 24
    LHS = RHS
    Hence, option (b) is correct and there is no need to check remaining options.

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In each of the following questions, all the equations except one have been solved according to a certain rule. You are required to solve the unsolved equation following the same rule and to choose the correct answer out of the given options.

  1. 4 - 4 = 17, 6 - 6 = 37, 2 - 2 = 5, 5 - 5 = ?
    1. 27
    2. 26
    3. 20
    4. 24
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    As, 4 - 4 ⇒ 4 x 4 + 1 = 17
    6 - 6 ⇒ 6 x 6 + 1 = 37

    Correct Option: B

    As, 4 - 4 ⇒ 4 x 4 + 1 = 17
    6 - 6 ⇒ 6 x 6 + 1 = 37
    2 - 2 ⇒ 2 x 2 + 1 = 5
    Similarly, 5 - 5 ⇒ 5 x 5 + 1 = 26
    ∴ ? = 26

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  1. If S means '-', Q means 'x' , R means '÷' and P means '+' then
    1   P   45   R   2   Q   2   S   4 = ?
    1. 40
    2. 42
    3. 36
    4. 46
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    After replacing the sign according to question
    1   P   45   R   2   Q   2   S   4
    = 1 + 45 ÷ 2 x 2 - 4

    Correct Option: B

    After replacing the sign according to question
    1   P   45   R   2   Q   2   S   4
    Apply the BODMAS Rule
    = 1 + 45 ÷ 2 x 2 - 4
    = 1 + 22.5 x 2 - 4
    = 1 + 45 - 4 = 42

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