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Question (21)

QN0016047

If the centre number of a generalized magic square is m, then the magic sum is

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

Correct Answer: C

Explanation:

Sum of any row, column or diagonal equals 3m.

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Question (22)

QN0016048

If the centre number is 25, the magic sum is

(A) 50
(B) 60
(C) 75
(D) 90

Correct Answer: C

Explanation:

3 × 25 = 75.

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Question (23)

QN0016049

In the generalized magic square, if m = 20, the magic sum is

(A) 40
(B) 50
(C) 60
(D) 80

Correct Answer: C

Explanation:

3 × 20 = 60.

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Question (24)

QN0016050

A magic square has centre number 18. What is its magic sum?

(A) 36
(B) 45
(C) 54
(D) 72

Correct Answer: C

Explanation:

3 × 18 = 54.

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Question (25)

QN0016051

If the centre number of a magic square is 30, the sum of any row is

(A) 30
(B) 60
(C) 75
(D) 90

Correct Answer: D

Explanation:

Magic sum = 3 × 30 = 90.

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Question (26)

QN0016052

Which operation always produces another magic square?

(A) and
(B)
(C) Both
(D) None of these

Correct Answer: C

Explanation:

Both operations preserve equal row, column and diagonal sums.

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Question (27)

QN0016053

A 3 × 3 grid has a row sum of 5. This grid is

(A) Valid
(B) Magic
(C) Impossible
(D) Incomplete

Correct Answer: C

Explanation:

Minimum possible row sum is 6.

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Question (28)

QN0016054

A 3 × 3 grid has a column sum of 26. This grid is

(A) Possible
(B) Impossible
(C) Magic
(D) Symmetric

Correct Answer: B

Explanation:

Maximum possible column sum is 24.

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Question (29)

QN0016055

Which statement is always true for a 3 × 3 grid filled with numbers 1–9 without repetition?

(A) Row sums are equal
(B) Column sums are equal
(C) Total of row sums is 45
(D) Each row sums to 15

Correct Answer: C

Explanation:

All numbers 1–9 together always sum to 45.

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Question (30)

QN0016056

The total of all row sums and all column sums together is

(A) 45
(B) 60
(C) 75
(D) 90

Correct Answer: D

Explanation:

Row sums total 45 and column sums total 45, so total = 90.

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Question (21)

If the centre number of a generalized magic square is m, then the magic sum is

Explanation:

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Question (22)

If the centre number is 25, the magic sum is

Explanation:

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Question (23)

In the generalized magic square, if m = 20, the magic sum is

Explanation:

Link:

Question (24)

A magic square has centre number 18. What is its magic sum?

Explanation:

Link:

Question (25)

If the centre number of a magic square is 30, the sum of any row is

Explanation:

Link:

Question (26)

Which operation always produces another magic square?

Explanation:

Link:

Question (27)

A 3 × 3 grid has a row sum of 5. This grid is

Explanation:

Link:

Question (28)

A 3 × 3 grid has a column sum of 26. This grid is

Explanation:

Link:

Question (29)

Which statement is always true for a 3 × 3 grid filled with numbers 1–9 without repetition?

Explanation:

Link:

Question (30)

The total of all row sums and all column sums together is

Explanation:

Link:

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