EWT | Academic Question

Questions
Question (1)
QN0030053
Which statement is always true about the first person in the height arrangement activity?
  • (A) They are the shortest.
  • (B) They always say 0.
  • (C) They always say the largest number.
  • (D) They are always the tallest.

Correct Answer: B
Explanation:

No one stands in front of the first person, so the number of taller people in front is always 0.

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Question (2)
QN0030054
Seven children stand in a line. The last child says 6. What can you conclude?
  • (A) The last child is the tallest.
  • (B) The last child is the shortest and everyone before is taller.
  • (C) Exactly six children are shorter than the last child.
  • (D) The arrangement is impossible.

Correct Answer: B
Explanation:

Saying 6 means all six children standing in front are taller than the last child.

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Question (3)
QN0030055
Which of the following sums is always odd?
  • (A) Three even numbers + one odd number
  • (B) Four odd numbers
  • (C) Two even numbers + two odd numbers
  • (D) Six even numbers

Correct Answer: A
Explanation:

Three even numbers add to an even number, and even + odd = odd.

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Question (4)
QN0030056
A student adds 7 odd numbers. The result must be
  • (A) Even
  • (B) Odd
  • (C) Prime
  • (D) Multiple of 4

Correct Answer: B
Explanation:

The sum of an odd number of odd numbers is always odd.

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Question (5)
QN0030057
Which grid will contain an odd number of small squares?
  • (A) 18 × 25
  • (B) 41 × 19
  • (C) 64 × 17
  • (D) 52 × 38

Correct Answer: B
Explanation:

A product is odd only when both factors are odd.

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Question (6)
QN0030058
If n is an integer, which expression is always even?
  • (A) 5n + 1
  • (B) 2n + 8
  • (C) 3n + 2
  • (D) n + 7

Correct Answer: B
Explanation:

Both 2n and 8 are even, so their sum is always even.

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Question (7)
QN0030059
The 75th even number is
  • (A) 148
  • (B) 149
  • (C) 150
  • (D) 152

Correct Answer: C
Explanation:

The nth even number is 2n. Therefore, the 75th even number is 2 × 75 = 150.

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Question (8)
QN0030060
What is the 60th odd number?
  • (A) 119
  • (B) 120
  • (C) 121
  • (D) 123

Correct Answer: A
Explanation:

The nth odd number is 2n − 1. Hence, 2 × 60 − 1 = 119.

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Question (9)
QN0030061
A 3 × 3 magic square is formed using the numbers 11 to 19. What is its magic sum?
  • (A) 39
  • (B) 45
  • (C) 75
  • (D) 57

Correct Answer: B
Explanation:

Adding 10 to every number increases each row sum by 30. Original magic sum = 15, so new magic sum = 45.

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Question (10)
QN0030062
A magic square has centre number 18. What is its magic sum?
  • (A) 36
  • (B) 45
  • (C) 54
  • (D) 60

Correct Answer: C
Explanation:

The magic sum of a 3 × 3 magic square is three times the centre number. Thus, 3 × 18 = 54.

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