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Simplification Test 4
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Simplification Test 4
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  • Question 1/15
    1 / -0

    What will come in place of the question mark ‘?’ in the following question?

    (256 - 196 + 169 - 144) ÷ ? = 505

    Solutions

    (256 - 196 + 169 - 144) ÷ ? = 505

    ⇒ (425 - 340) ÷ ? = 505

    ⇒ 85 ÷ ? = 505

    ⇒ ? = 85/505 = 0.16

  • Question 2/15
    1 / -0

    What will come in place of the question mark ‘?’ in the following question?

    1280% of 75 ÷ 30 + ? = 80

    Solutions

    1280% of 75 ÷ 30 + ? = 80

    ⇒ 960 ÷ 30 + ? = 80

    ⇒ 32 + ? = 80

    ⇒ ? = 80 - 32 = 48

  • Question 3/15
    1 / -0

    What will come in place of the question mark ‘?’ in the following question?

    4532 ÷ √1936 + 524 ÷ 4 = ?

    Solutions

    4532 ÷ √1936 + 524 ÷ 4 = ?

    ⇒ 4532 ÷ 44 + 131 = ?

    ⇒ 103 + 131 = ?

    ⇒ 234 = ?

  • Question 4/15
    1 / -0

    What will come in place of the question mark ‘?’ in the following question?

    √676 × 34 + 125 × 7 = ? - 41

    Solutions

    √676 × 34 + 125 × 7 = ? - 41

    ⇒ 26 × 34 + 125 × 7 = ? - 41

    ⇒ 884 + 875 = ? - 41

    ⇒ 1759 = ? - 41

    ⇒ ? = 1759 + 41 = 1800

  • Question 5/15
    1 / -0

    What will come in place of the question mark ‘?’ in the following question?

    \(\left( {\sqrt 2 + \sqrt {7 - 2\sqrt {10} } } \right) = ?\)

    Solutions

    Follow BODMAS rule to solve this question, as per the order given below,

    Step-1- Parts of an equation enclosed in 'Brackets' must be solved first, and in the bracket,

    Step-2- Any mathematical 'Of' or 'Exponent' must be solved next,

    Step-3- Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

    Step-4- Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

    Given expression is

    ⇒ \(\left( {\sqrt 2 + \sqrt {7 - 2\sqrt {10} } } \right)\)

    \(\sqrt2 + \sqrt{(\sqrt5)^2+(\sqrt2)^2-2\times\sqrt5\times\sqrt2}\)

    = √2 + √(√5 – √2)2

    = √2 + √5 – √2

    = √5

  • Question 6/15
    1 / -0

    What will come in place of question mark ‘?’ in the following question? (You do not have to calculate the exact value)

    826.88 + 320.93 + 2334.03 – 333.013 – 324.012 = 113 × √(?)
    Solutions

    826.88 + 320.93 + 2334.03 – 333.013 – 324.012 = 113 × √(?)

    Approximating the value to the nearest integer:

    ⇒ 827 + 321 + 2334 – 333 – 324 = 113 × √(?)

    ⇒ 3482 – 657 = 113 × √(?)

    ⇒ 2825 = 113 × √(?)

    ⇒ (?) = 252

    ⇒ (?) = 625
  • Question 7/15
    1 / -0

    What will come in place of question mark ‘?’ in the following question? (You do not have to calculate the exact value)

    √[3992.87 ÷ 1330.95 × √120.98] = (?)2
    Solutions

    √[3992.87 ÷ 1330.95 × √120.98] = (?)2

    Approximating the values to the nearest integer:

    ⇒ √[3993 ÷ 1331 × √121] = (?)2

    ⇒ (?)2 = √[3 × √121]

    ⇒ (?)2 = √3 × 11

    ⇒ (?) = ∜33
  • Question 8/15
    1 / -0

    What will come in place of question mark ‘?’ in the following question? (You do not have to calculate the exact value)

    37.80 ÷ 19.091 × 6.87 + 586.16 = 1189.90 - ?
    Solutions

    Follow BODMAS rule to solve this question, as per the order given below,

    Step-1- Parts of an equation enclosed in 'Brackets' must be solved first, and in the bracket,

    Step-2- Any mathematical 'Of' or 'Exponent' must be solved next,

    Step-3- Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

    Step-4- Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

    Given Expression,

    37.80 ÷ 19.091 × 6.87 + 586.16 = 1189.90 - ?

    We can also write values as:

    37.80 ≈ 38, 19.091 ≈ 19, 6.87 ≈ 7, 586.16 ≈ 586, 1189.90 ≈ 1190

    Given expression becomes,

    ⇒ 38 ÷ 19 × 7 + 586 = 1190 - ?

    ⇒ 2 × 7 + 586 = 1190 - ?

    ⇒ 14 + 586 = 1190 - ?

    ⇒ 600 = 1190 - ?

    ⇒ ? ≈ 590
  • Question 9/15
    1 / -0

    What will come in place of question mark ‘?’ in the following question? (You do not have to calculate the exact value)

    (57.71 ÷ 3.89) × 2.22 + 51.17 = 157.69 - ?
    Solutions

    Follow BODMAS rule to solve this question, as per the order given below,

    Step-1- Parts of an equation enclosed in 'Brackets' must be solved first, and in the bracket,

    Step-2- Any mathematical 'Of' or 'Exponent' must be solved next,

    Step-3- Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

    Step-4- Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

    Given Expression,

    (57.71 ÷ 3.89) × 2.22 + 51.17 = 157.69 - ?

    We can also write values as:

    57.71 ≈ 58, 3.89 ≈ 4, 2.22 ≈ 2, 51.17 ≈ 51, 157.69 ≈ 158

    Given expression becomes,

    ⇒ (58 ÷ 4) × 2 + 51 = 158 - ?

    ⇒ 14.5 × 2 + 51 = 158 - ?

    ⇒ 29 + 51 = 158 - ?

    ⇒ 80 = 158 - ?

    ⇒ ? = 158 – 80

    ⇒ ? ≈ 78
  • Question 10/15
    1 / -0

    What will come in place of question mark ‘?’ in the following question? (You do not have to calculate the exact value)

    (187.73 ÷ 46.60 × 25.32) ÷ 20.20 = 95.35 ÷ ?
    Solutions

    Follow BODMAS rule to solve this question, as per the order given below,

    Step-1- Parts of an equation enclosed in 'Brackets' must be solved first, and in the bracket,

    Step-2- Any mathematical 'Of' or 'Exponent' must be solved next,

    Step-3- Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

    Step-4- Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

    Given Expression,

    (187.73 ÷ 46.60 × 25.32) ÷ 20.20 = 95.35 ÷ ?

    We can also write values as:

    187.73 ≈ 188, 46.60 ≈ 47, 25.32 ≈ 25, 20.20 ≈ 20, 95.35 ≈ 95

    Given expression becomes,

    ⇒ (188 ÷ 47 × 25) ÷ 20 = 95 ÷ ?

    ⇒ (4 × 25) ÷ 20 = 95 ÷ ?

    ⇒ 100 ÷ 20 = 95 ÷ ?

    ⇒ 5 = 95 ÷ ?

    ⇒ ? ≈ 19
  • Question 11/15
    1 / -0

    What will come in place of question mark ‘?’ in the following question? (You do not have to calculate the exact value)

    (67.68 × 14.89 ÷ 3.19) ÷ 68.14 = 84.89 ÷ ?
    Solutions

    Follow BODMAS rule to solve this question, as per the order given below,

    Step-1- Parts of an equation enclosed in 'Brackets' must be solved first, and in the bracket,

    Step-2- Any mathematical 'Of' or 'Exponent' must be solved next,

    Step-3- Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

    Step-4- Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

    Given Expression,

    (67.68 × 14.89 ÷ 3.19) ÷ 68.14 = 84.89 ÷ ?

    We can also write values as:

    67.88 ≈ 68, 14.89 ≈ 15, 3.19 ≈ 3, 68.14 ≈ 68, 84.89 ≈ 85

    Given expression becomes,

    ⇒ (68 × 15 ÷ 3) ÷ 68 = 85 ÷ ?

    ⇒ (68 × 5) ÷ 68 = 85 ÷ ?

    ⇒ 340 ÷ 68 = 85 ÷ ?

    ⇒ 5 = 85 ÷ ?

    ⇒ ? ≈ 17
  • Question 12/15
    1 / -0

    What will come in place of question mark ‘?’ in the following question? (You do not have to calculate the exact value)

    75.4 × 5.19 + 515.30 = 314.90 × ? – 54.73
    Solutions

    Follow BODMAS rule to solve this question, as per the order given below,

    Step-1- Parts of an equation enclosed in 'Brackets' must be solved first, and in the bracket,

    Step-2- Any mathematical 'Of' or 'Exponent' must be solved next,

    Step-3- Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

    Step-4- Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

    Given Expression,

    75.4 × 5.19 + 515.30 = 314.90 × ? – 54.73

    We can also write values as:

    75.4 ≈ 75, 5.19 ≈ 5, 515.30 ≈ 515, 314.90 ≈ 315, 54.73 ≈ 55

    Given expression becomes,

    ⇒ 75 × 5 + 515 = 315 × ? – 55

    ⇒ 375 + 515 = 315 × ? - 55

    ⇒ 890 = 315 × ? - 55

    ⇒ 315 × ? = 945

    ⇒ ? ≈ 3
  • Question 13/15
    1 / -0

    What will come in place of question mark ‘?’ in the following question? (You do not have to calculate the exact value)

    75.01% of 540.02 + 200/3% of 3869.98 = (?)

    Solutions

    According to the BODMAS rule, the priority in which the operations should be done is:

    Operations

    Symbols

    B-Bracket

    ()

    O-Of

    Of

    D-Division

    ÷, /

    M-Multiplication

    ×

    A-Addition

    +

    S-Subtraction

    -

     

    ⇒ 75.01% of 540.02 + 200/3% of 3869.98 = (?)

    Approximating the value to the nearest integer:

    ⇒ 75% of 540 + 200/3% of 3870 = ?

    ⇒ 405 + 200/3% of 3870 = ? 

    (?) = 405 + 2580 

    (?) = 2985

  • Question 14/15
    1 / -0

    What will come in place of the question mark ‘?’ in the following question?

    1124 + [24 + {23 – (27 + 6 × 9) + 91} + 66.67% of 75] = ?2 + 270
    Solutions

    Follow BODMAS rule to solve this question, as per the order given below,

    Step–1: Parts of an equation enclosed in 'Brackets' must be solved first, and in the bracket,

    Step–2: Any mathematical 'Of' or 'Exponent' must be solved next,

    Step–3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

    Step–4: Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

    1124 + [24 + {23 – (27 + 6 × 9) + 91} + 66.67% of 75] = ?2 + 270

    ⇒ 1124 + [24 + {23 – (27 + 54) + 91} + 2/3 × 75] = ?2 + 270

    ⇒ 1124 + [24 + {23 – 81 + 91} + 2 × 25] = ?2 + 270

    ⇒ 1124 + [24 + 33 + 50] = ?2 + 270

    ⇒ 1124 + 107 = ?2 + 270

    ⇒ ?2 = 1231 – 270 = 961

    ∴ ? = 31
  • Question 15/15
    1 / -0

    What will come in place of the question mark ‘?’ in the following question?

    1347 + 254 + 457 – 3382 + 8745 – 5723 = ?

    Solutions

    Follow BODMAS rule to solve this question, as per the order given below,

    Step–1: Parts of an equation enclosed in 'Brackets' must be solved first, and in the bracket,

    Step–2: Any mathematical 'Of' or 'Exponent' must be solved next,

    Step–3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

    Step–4: Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

    1347 + 254 + 457 – 3382 + 8745 – 5723 = ?

    ⇒ ? = 2058 + 5363 – 5723

    ⇒ ? = 7421 – 5723

    ∴ ? = 1698 

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