EWT | Academic Question

Questions
Question (1)
QN0030333
What is the defining property of a magic grid?
  • (A) All rows have different sums.
  • (B) All rows, columns and diagonals have the same sum.
  • (C) Only the diagonals have the same sum.
  • (D) Only the rows have the same sum.

Correct Answer: B
Explanation:

A magic grid has the same sum in every row, column and diagonal.

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Question (2)
QN0030334
In a magic grid, the common total of every row, column and diagonal is called the
  • (A) Grid value
  • (B) Magic number
  • (C) Magic sum
  • (D) Integer sum

Correct Answer: C
Explanation:

The common total is called the magic sum.

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Question (3)
QN0030335
A magic grid has the first row as 4, –2 and 3. What is the magic sum?
  • (A) 3
  • (B) 4
  • (C) 5
  • (D) 6

Correct Answer: C
Explanation:

4 + (–2) + 3 = 5.

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Question (4)
QN0030336
In a magic grid, one row contains the integers 7, –5 and –1. The magic sum is
  • (A) 0
  • (B) 1
  • (C) 2
  • (D) 3

Correct Answer: B
Explanation:

7 + (–5) + (–1) = 1.

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Question (5)
QN0030337
In a magic grid, the magic sum is 9. Two numbers in a row are 6 and –2. The third number is
  • (A) 3
  • (B) 4
  • (C) 5
  • (D) 7

Correct Answer: C
Explanation:

6 + (–2) = 4. Therefore, the missing number is 5.

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Question (6)
QN0030338
In a magic grid, the magic sum is –4. Two numbers in a column are –6 and 5. The missing number is
  • (A) –3
  • (B) –4
  • (C) –5
  • (D) –6

Correct Answer: A
Explanation:

–6 + 5 = –1. Therefore, the missing number is –3.

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Question (7)
QN0030339
A diagonal of a magic grid contains –8, 6 and 5. What is the magic sum?
  • (A) 2
  • (B) 3
  • (C) 4
  • (D) 5

Correct Answer: B
Explanation:

–8 + 6 + 5 = 3.

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Question (8)
QN0030340
In a magic grid, the magic sum is 12. Two numbers in a diagonal are 9 and –4. The third number is
  • (A) 5
  • (B) 6
  • (C) 7
  • (D) 8

Correct Answer: C
Explanation:

9 + (–4) = 5. Therefore, the missing number is 7.

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Question (9)
QN0030341
Which statement is always true for a magic grid?
  • (A) Every entry is positive.
  • (B) Every entry is negative.
  • (C) Every row has the same total.
  • (D) Every row contains consecutive integers.

Correct Answer: C
Explanation:

Every row, column and diagonal have the same total.

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Question (10)
QN0030342
If the magic sum of a grid is 0 and two numbers in a row are –9 and 4, the third number is
  • (A) –5
  • (B) 5
  • (C) –13
  • (D) 13

Correct Answer: B
Explanation:

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

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