EWT | Academic Question

Questions
Question (1)
QN0020132
In a ‘Think of a Number’ trick, the starting number is usually represented by:
  • (A) 0
  • (B) 1
  • (C) x
  • (D) 10

Correct Answer: C
Explanation:

x is used as a variable to represent the unknown starting number.

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Question (2)
QN0020133
In the trick discussed, the first operation performed after thinking of a number is:
  • (A) Add 4
  • (B) Double it
  • (C) Divide by 2
  • (D) Subtract the original number

Correct Answer: B
Explanation:

The number is doubled first.

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Question (3)
QN0020134
After doubling a number x, the resulting algebraic expression is:
  • (A) x + 2
  • (B)
  • (C) 2x
  • (D) x/2

Correct Answer: C
Explanation:

Doubling x gives 2x.

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Question (4)
QN0020135
In the trick, after doubling x and adding 4, the expression becomes:
  • (A) x + 4
  • (B) 2x + 4
  • (C) 2x − 4
  • (D) x + 2

Correct Answer: B
Explanation:

Adding 4 to 2x gives 2x + 4.

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Question (5)
QN0020136
After dividing (2x + 4) by 2, the expression simplifies to:
  • (A) x + 4
  • (B) x + 2
  • (C) 2x + 2
  • (D) x − 2

Correct Answer: B
Explanation:

(2x + 4)/2 = x + 2.

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Question (6)
QN0020137
In the standard trick, the final result after subtracting the original number is always:
  • (A) 0
  • (B) 1
  • (C) 2
  • (D) Depends on x

Correct Answer: C
Explanation:

x + 2 − x = 2.

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Question (7)
QN0020138
If the chosen number is 8, the final result of the trick is:
  • (A) 8
  • (B) 4
  • (C) 2
  • (D) 0

Correct Answer: C
Explanation:

The trick always gives 2.

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Question (8)
QN0020139
If the chosen number is 25, the final result obtained is:
  • (A) 25
  • (B) 2
  • (C) 5
  • (D) 0

Correct Answer: B
Explanation:

The result is independent of the chosen number.

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Question (9)
QN0020140
If the chosen number is −3, the final result is:
  • (A) −3
  • (B) −2
  • (C) 0
  • (D) 2

Correct Answer: D
Explanation:

The trick works for negative numbers as well.

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Question (10)
QN0020141
The reason the trick works for every starting number is that:
  • (A) The number is doubled
  • (B) The original number cancels out
  • (C) 4 is added
  • (D) The result is guessed

Correct Answer: B
Explanation:

The variable x cancels in the final step.

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