Cubes and Dice Practice Question and Answer

Q:

Three positions of a cube are shown below. What will come opposite to the face containing ‘α’?

1906 0

  • 1
    β
    Correct
    Wrong
  • 2
    δ
    Correct
    Wrong
  • 3
    n
    Correct
    Wrong
  • 4
    θ
    Correct
    Wrong
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Answer : 2. "δ"

Q:

In a solid cube made up of 27 small cubes, two opposite sides yellow and two other side white. How many small cubes have the colours yellow and white alone in them?

1384 0

  • 1
    4
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    12
    Correct
    Wrong
  • 4
    16
    Correct
    Wrong
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Answer : 1. "4"

Q: Two dice are rolled simultaneously. Find the probability of getting a total of 9. 1922 0

  • 1
    1/3
    Correct
    Wrong
  • 2
    1/9
    Correct
    Wrong
  • 3
    8/9
    Correct
    Wrong
  • 4
    9/10
    Correct
    Wrong
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Answer : 2. "1/9"
Explanation :

Answer: B) 1/9 Explanation: S = { (1, 1), (1, 2), (1, 3), (1, 4),(1, 5), (1, 6), (2, 1), (2, 2),.........(6, 5), (6, 6) } => n(S) = 6 x 6 = 36 E = {(6, 3), (5, 4), (4, 5), (3, 6) } => n(E) = 4 Therefore, P(E) = 4/36 = 1/9

Q:

Four forms of a dice are shown below. In this dice is addition of it’s two opposite surface is 7. Which will be the right form of this dice in given forms?

2506 0

  • 1
    A
    Correct
    Wrong
  • 2
    B
    Correct
    Wrong
  • 3
    C
    Correct
    Wrong
  • 4
    D
    Correct
    Wrong
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Answer : 2. "B"

Q:

Four different positions of a dice are as shown below. What number is opposite to face 3?

2650 0

  • 1
    4
    Correct
    Wrong
  • 2
    3
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 1. "4"

Q: When two dice are thrown simultaneously, what is the probability that the sum of the two numbers that turn up is less than 12? 1642 0

  • 1
    35/36
    Correct
    Wrong
  • 2
    17/36
    Correct
    Wrong
  • 3
    15/36
    Correct
    Wrong
  • 4
    1/36
    Correct
    Wrong
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Answer : 1. "35/36"
Explanation :

Answer: A) 35/36 Explanation: When two dice are thrown simultaneously, the probability is n(S) = 6x6 = 36 Required, the sum of the two numbers that turn up is less than 12 That can be done as n(E) = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6)(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)(6,1), (6,2), (6,3), (6,4), (6,5) } = 35 Hence, required probability = n(E)/n(S) = 35/36.

Q:

Four forms of a dice are shown below. In this dice which word will be on the surface opposite to the world D?

3056 0

  • 1
    D
    Correct
    Wrong
  • 2
    A
    Correct
    Wrong
  • 3
    B
    Correct
    Wrong
  • 4
    C
    Correct
    Wrong
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Answer : 2. "A"
Explanation :

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Q:

Three position of a cube are shown below. What will come opposite to face containing ‘5’?

3212 0

  • 1
    1
    Correct
    Wrong
  • 2
    3
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 1. "1"

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