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Simplification Test 468
Result
Simplification Test 468

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  • Question 1/10
    1 / -0.25
    The value of  is:

    Solutions

    =

    =

    =

    = 2

    Hence, option C is the correct answer.

  • Question 2/10
    1 / -0.25
    If  and , then what is the value of (A – B)?
    Solutions

    A – B =

  • Question 3/10
    1 / -0.25
    What is the difference between the total surface area and the curved surface area of a cone whose radius is 35 cm?
    Solutions

    Radius of cone = 35 cm

    Total surface area of cone =

    Curved surface area of cone =

    Difference between the total surface area and the curved surface area of a cone

    = = = = 3850 cm2

    "Hence, option A is the correct answer."

  • Question 4/10
    1 / -0.25
    Simplify the following expression.

    20 + 3 – 2 + (4 – 1)

    Solutions

    20 + 3 – 2 + (4 – 1)

    = 23 – 2 + 3

    = 26 – 2

    = 24

    Hence, option B is the correct answer.

  • Question 5/10
    1 / -0.25
    The value of 26.4 × 12.5 +  is
    Solutions
    26.4 × 12.5 + √(222 + 20 + 112) - 31

    = 330 + √(484 + 20 + 121) – 31

    = 330 + √625 - 31

    = 330 + 25 - 31

    = 355 – 31

    = 324

    Hence, option D is the correct answer.

  • Question 6/10
    1 / -0.25
    Find the value of the given expression.

    Solutions
     Let x =

    ⇒ x =

    On squaring both sides

    x2 = 20 – x

    ⇒ x2 + x – 20 = 0

    ⇒ x2 + 5x – 4x – 20 = 0

    ⇒ x(x + 5) – 4(x + 5) = 0

    ⇒ (x - 4)(x + 5) = 0

    ∴ x = 4 [neglecting the negative value

    Hence, option A is the correct answer.

  • Question 7/10
    1 / -0.25
    Select the number that will come in place of the question mark (?) in the following mathematical statement.

    Solutions
     [18/292] × [73/144] × ? = 19

    ⇒ [1/4] × [1/8] × ? = 19

    ⇒ ? = 19 × 4 × 8

    = 608

    Hence, option B is the correct answer.

  • Question 8/10
    1 / -0.25
    What is the value of (1 ÷ 8) of 512 – {–5 ÷ 0.5} × 6?
    Solutions
     (1 ÷ 8) of 512 – {–5 ÷ 0.5} × 6

    = (1/8) × 512 – {–10} × 6

    = 64 + 60

    = 124

    Hence, option C is the correct answer.

  • Question 9/10
    1 / -0.25
    15% of 20% of S = 126. What is the value of S?
    Solutions
     15% of 20% of S = 126

    ⇒ 15/100 × 20/100 × S = 126

    ⇒ 3/20 × 1/5 × S = 126

    ⇒ S = 126 × 5 × 20/3

    = 4200

    Hence, option A is the correct answer.

  • Question 10/10
    1 / -0.25
    Simplify the following expression.

    25 – (4 ÷ 2) + 11.5 + 9.5

    Solutions
     25 – (4 ÷ 2) + 11.5 + 9.5

    = 25 – 2 + 11.5 + 9.5

    = 25 – 2 + 21

    = 46 – 2

    = 44

    Hence, option B is the correct answer.

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