EWT | Academic Question

Questions
Question (1)
QN0016027
In a 3 × 3 grid filled with numbers 1 to 9 without repetition, what do the numbers written outside the rows and columns represent?
  • (A) Product of numbers
  • (B) Difference of numbers
  • (C) Sum of numbers
  • (D) Average of numbers

Correct Answer: C
Explanation:

The circled numbers represent the sums of the corresponding rows and columns.

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Question (2)
QN0016028
The smallest possible row sum in a 3 × 3 grid using numbers 1–9 without repetition is
  • (A) 3
  • (B) 6
  • (C) 9
  • (D) 12

Correct Answer: B
Explanation:

Smallest sum = 1 + 2 + 3 = 6.

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Question (3)
QN0016029
The largest possible row sum in a 3 × 3 grid using numbers 1–9 without repetition is
  • (A) 21
  • (B) 22
  • (C) 24
  • (D) 27

Correct Answer: C
Explanation:

Largest sum = 7 + 8 + 9 = 24.

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Question (4)
QN0016030
Which of the following row sums is impossible in a 3 × 3 grid using numbers 1–9 without repetition?
  • (A) 10
  • (B) 18
  • (C) 24
  • (D) 25

Correct Answer: D
Explanation:

No row sum can exceed 24.

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Question (5)
QN0016031
The sum of all numbers from 1 to 9 is
  • (A) 36
  • (B) 40
  • (C) 45
  • (D) 50

Correct Answer: C
Explanation:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45.

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Question (6)
QN0016032
The total of all three row sums in any valid 3 × 3 grid using numbers 1–9 is
  • (A) 30
  • (B) 36
  • (C) 40
  • (D) 45

Correct Answer: D
Explanation:

Every number from 1 to 9 is counted once, giving total 45.

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Question (7)
QN0016033
The total of all three column sums in any valid 3 × 3 grid using numbers 1–9 is
  • (A) 45
  • (B) 30
  • (C) 24
  • (D) 15

Correct Answer: A
Explanation:

Column sums together equal the sum of numbers 1–9, i.e., 45.

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Question (8)
QN0016034
If the row sums of a magic square made using 1–9 are equal, each row sum must be
  • (A) 9
  • (B) 12
  • (C) 15
  • (D) 18

Correct Answer: C
Explanation:

45 ÷ 3 = 15.

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Question (9)
QN0016035
A square grid in which every row, column and diagonal have the same sum is called a
  • (A) Prime square
  • (B) Magic square
  • (C) Number square
  • (D) Grid square

Correct Answer: B
Explanation:

Such a grid is called a magic square.

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Question (10)
QN0016036
The common sum in a magic square is called
  • (A) Equal sum
  • (B) Grid sum
  • (C) Magic sum
  • (D) Square sum

Correct Answer: C
Explanation:

The common row, column and diagonal sum is called the magic sum.

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