EWT | Academic Question

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Question (21)
QN0030353
In a magic grid, the magic sum is 10. Two numbers in a row are –3 and 8. The third number is
  • (A) 4
  • (B) 5
  • (C) 6
  • (D) 7

Correct Answer: B
Explanation:

Add the known numbers and subtract the result from the magic sum. The missing number is 5.

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Question (22)
QN0030354
A column of a magic grid contains –6, 11 and –2. What is the magic sum?
  • (A) 2
  • (B) 3
  • (C) 4
  • (D) 5

Correct Answer: B
Explanation:

–6 + 11 + (–2) = 3.

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Question (23)
QN0030355
In a magic grid, the magic sum is –5. Two numbers in a diagonal are –9 and 7. The third number is
  • (A) –2
  • (B) –3
  • (C) –4
  • (D) –5

Correct Answer: B
Explanation:

–9 + 7 = –2. Therefore, the missing number is –3.

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Question (24)
QN0030356
Which statement is correct for every magic grid of integers?
  • (A) Every row has a different sum.
  • (B) Only the diagonals have equal sums.
  • (C) Every row, column and diagonal has the same sum.
  • (D) Every number in the grid is positive.

Correct Answer: C
Explanation:

A magic grid has equal sums in every row, column and diagonal.

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Question (25)
QN0030357
In a magic grid, the magic sum is 15. Two numbers in a column are 9 and –4. The missing number is
  • (A) 8
  • (B) 9
  • (C) 10
  • (D) 11

Correct Answer: C
Explanation:

9 + (–4) = 5. Therefore, the missing number is 10.

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Question (26)
QN0030358
A row of a magic grid contains 14, –8 and 5. What is the magic sum?
  • (A) 9
  • (B) 10
  • (C) 11
  • (D) 12

Correct Answer: C
Explanation:

14 + (–8) + 5 = 11.

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Question (27)
QN0030359
In a magic grid, the magic sum is –8. Two numbers in a row are –5 and –6. The third number is
  • (A) 2
  • (B) 3
  • (C) 4
  • (D) 5

Correct Answer: B
Explanation:

–5 + (–6) = –11. The missing number is 3.

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Question (28)
QN0030360
Which of the following can be the magic sum of a magic grid of integers?
  • (A) Only positive integers
  • (B) Only negative integers
  • (C) Only zero
  • (D) Positive, negative or zero

Correct Answer: D
Explanation:

The magic sum may be positive, negative or zero.

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Question (29)
QN0030361
A diagonal of a magic grid contains –12, 9 and 6. The magic sum is
  • (A) 2
  • (B) 3
  • (C) 4
  • (D) 5

Correct Answer: B
Explanation:

–12 + 9 + 6 = 3.

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Question (30)
QN0030362
In a magic grid, the magic sum is 7. Two numbers in a column are –4 and 2. The third number is
  • (A) 7
  • (B) 8
  • (C) 9
  • (D) 10

Correct Answer: C
Explanation:

–4 + 2 = –2. Therefore, the missing number is 9.

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