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Question (11)

QN0016037

In a 3 × 3 magic square using numbers 1–9, the magic sum is

(A) 12
(B) 15
(C) 18
(D) 21

Correct Answer: B

Explanation:

Total 45 divided among 3 equal rows gives 15.

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Question (12)

QN0016038

Which number must occupy the centre of every 3 × 3 magic square formed using 1–9?

(A) 1
(B) 3
(C) 5
(D) 9

Correct Answer: C

Explanation:

The centre number is always 5.

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Question (13)

QN0016039

Why can 9 not be the centre of such a magic square?

(A) It is the largest number
(B) Required sums become impossible
(C) It makes rows unequal
(D) It must be in a corner

Correct Answer: B

Explanation:

A magic sum of 15 cannot be achieved with 9 at the centre.

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Question (14)

QN0016040

Which of the following cannot be at the centre of the magic square?

(A) 5
(B) 4
(C) Both 4 and 6
(D) None of these

Correct Answer: C

Explanation:

Only 5 can occupy the centre.

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Question (15)

QN0016041

The numbers 1 and 9 must be placed in

(A) Corner positions only
(B) Centre position
(C) Middle positions on the boundary
(D) Any position

Correct Answer: C

Explanation:

They cannot be at the centre or corners.

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Question (16)

QN0016042

In a 3 × 3 magic square using 1–9, the number of diagonals considered is

(A) 1
(B) 2
(C) 3
(D) 4

Correct Answer: B

Explanation:

There are two diagonals.

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Question (17)

QN0016043

If every entry of a magic square is increased by 1, the resulting grid

(A) Is not a magic square
(B) Remains a magic square
(C) Has unequal rows
(D) Has unequal diagonals

Correct Answer: B

Explanation:

Adding the same number to all entries preserves equal sums.

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Question (18)

QN0016044

If every number in a 3 × 3 magic square is increased by 1, the magic sum increases by

(A) 1
(B) 2
(C) 3
(D) 9

Correct Answer: C

Explanation:

Each row has 3 entries, so sum increases by 3.

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Question (19)

QN0016045

If every number in a magic square is doubled, the new magic sum becomes

(A) Same as before
(B) Half of original
(C) Double the original
(D) Triple the original

Correct Answer: C

Explanation:

Multiplying all entries by 2 doubles every row sum.

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Question (20)

QN0016046

A magic square with numbers 2–10 can be obtained by

(A) Subtracting 1 from each entry
(B) Adding 1 to each entry
(C) Multiplying each entry by 2
(D) Dividing each entry by 2

Correct Answer: B

Explanation:

Add 1 to every number of the 1–9 magic square.

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Question (11)

In a 3 × 3 magic square using numbers 1–9, the magic sum is

Explanation:

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Question (12)

Which number must occupy the centre of every 3 × 3 magic square formed using 1–9?

Explanation:

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Question (13)

Why can 9 not be the centre of such a magic square?

Explanation:

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Question (14)

Which of the following cannot be at the centre of the magic square?

Explanation:

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Question (15)

The numbers 1 and 9 must be placed in

Explanation:

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Question (16)

In a 3 × 3 magic square using 1–9, the number of diagonals considered is

Explanation:

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Question (17)

If every entry of a magic square is increased by 1, the resulting grid

Explanation:

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Question (18)

If every number in a 3 × 3 magic square is increased by 1, the magic sum increases by

Explanation:

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Question (19)

If every number in a magic square is doubled, the new magic sum becomes

Explanation:

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Question (20)

A magic square with numbers 2–10 can be obtained by

Explanation:

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