Mathematical Logic and Geometry Quiz
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Mathematical Logic and Geometry Quiz

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Questions and Answers

What is the minimum distance between Kavmani's home and the bookstore?

  • 80 m
  • 40 m
  • 50 m (correct)
  • 60 m

    • In what direction did Kavmani finally face after her movement?

  • East
  • North (correct)
  • South
  • West

    • Which friend is sitting immediately to the left of B?

  • A
  • D
  • F
  • C (correct)

    • Who is seated between A and C?

    <p>D</p> Signup and view all the answers

    What is the total distance Kavmani walked before reaching the bookstore?

    <p>120 m</p> Signup and view all the answers

    Who has been named the winner of the 2024 UNESCO Guillermo Cano World Press Freedom Prize?

    <p>Sudanese journalist</p> Signup and view all the answers

    Who will replace Ajay Singh as ASSOCHAM President for 2024-25?

    <p>Pushyamitra</p> Signup and view all the answers

    Which of the following elements is NOT mentioned in the content?

    <p>Copper</p> Signup and view all the answers

    What is the main focus of the 2024 UNESCO Guillermo Cano World Press Freedom Prize?

    <p>Celebrating achievements in journalism</p> Signup and view all the answers

    What is the relationship between Ajay Singh and ASSOCHAM?

    <p>He is the current President</p> Signup and view all the answers

    How many digits are assigned to the letters in the code for TRUCK based on the given information?

    <p>5</p> Signup and view all the answers

    Which of the following represents the correct encoding for DOCILE in the specified code language?

    <p>41539125</p> Signup and view all the answers

    If FOG is encoded as 84, what might be a plausible pattern for encoding words in that language?

    <p>Each letter's code is derived from arithmetic operations between their alphabetical positions.</p> Signup and view all the answers

    Which of the following codes could logically be a representation of the word DART in the same code language?

    <p>43126</p> Signup and view all the answers

    What could be a reason for divergence between the coded information and commonly known facts?

    <p>These codes involve mathematical relationships unrecognized in standard language.</p> Signup and view all the answers

    What is the value of $xy$ if $2^{2x-y} = 16$ and $2^{x+y} = 32$?

    <p>4</p> Signup and view all the answers

    In a mixture of 729 ml containing milk and water in the ratio of 7:2, how much of the total mixture is milk?

    <p>441 ml</p> Signup and view all the answers

    If water is to be added so that the new ratio of milk to water becomes 7:3, how much water should be added?

    <p>60 ml</p> Signup and view all the answers

    What is the total volume of water in the original mixture of 729 ml in a ratio of 7:2?

    <p>81 ml</p> Signup and view all the answers

    If the original mixture is increased to a total volume of 729 ml plus added water, what would be the new total ml of the mixture if 60 ml of water is added?

    <p>789 ml</p> Signup and view all the answers

    If cosθ = 3/5, which angle can be calculated?

    <p>93.6°</p> Signup and view all the answers

    What is the diameter of the wire formed from a copper sphere of radius 3 cm?

    <p>0.2 cm</p> Signup and view all the answers

    How much longer will the wire be when transformed from a sphere of radius 3 cm?

    <p>12 meters</p> Signup and view all the answers

    If the total diameter of a cylinder's base and height is 37 meters, what is the height if the surface area is 1628 m²?

    <p>20 meters</p> Signup and view all the answers

    What percentage more is the expenditure on food compared to savings if the corresponding values are given?

    <p>13.04%</p> Signup and view all the answers

    Study Notes

    Coding Logic

    • In a certain code language, MARKER is coded as 1311811518
    • The code appears to be based on assigning numbers to letters, but the pattern is not immediately clear.
    • Logic for coding needs to be deciphered to determine how DOCILE would be coded.

    Mathematical Problems

    • 2²ˣ⁻ʸ = 16 and 2ˣ⁺ʸ = 32, then the value of xy is -
      • Requires solving for x and y using the given equations
      • The solution involves simplifying the equations using logarithmic principles

    Ratios and Mixtures

    • A 729 ml mixture contains milk and water in the ratio of 7:2
    • The goal is to determine how much water should be added to achieve a new ratio of 7:3
    • Solving this requires understanding how changing the amount of one component affects ratios

    Geometry and Mensuration

    • A sphere of copper with a radius of 3 cm is turned into a wire with a diameter of 0.2 cm
    • This involves calculating the volume of the sphere and the volume of the wire
    • The volume of the wire is equal to the volume of the sphere, allowing for a calculation of the wire's length

    Word Problems

    • Kavita walks 30 m from her home towards the east, then turns left and walks 40 m. She again turns left and walks 60 m to reach a grocery store.
    • The goal is to calculate the shortest distance between her home and the grocery store.
    • Solving this requires visualizing the path and using geometry to determine the shortest distance.

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    Description

    Test your skills in solving coding logic problems, mathematical equations, ratios, and geometry. This quiz covers a range of topics including number coding, algebraic equations, mixture calculations, and volume determination of geometric shapes. Challenge yourself and see how well you understand these mathematical concepts!

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