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Question (31)

QN0020282

The product of 9 and 10 is:

(A) 81
(B) 85
(C) 90
(D) 95

Correct Answer: C

Explanation:

9 × 10 = 90.

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Question (32)

QN0020283

Which pair with sum 32 gives the greatest product?

(A) 15 and 17
(B) 16 and 16
(C) 14 and 18
(D) 13 and 19

Correct Answer: B

Explanation:

Equal numbers maximize the product.

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Question (33)

QN0020284

The maximum product for sum 32 is:

(A) 248
(B) 252
(C) 256
(D) 260

Correct Answer: C

Explanation:

16 × 16 = 256.

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Question (34)

QN0020285

If two positive integers have sum 40, the maximum product is:

(A) 360
(B) 380
(C) 400
(D) 420

Correct Answer: C

Explanation:

20 × 20 = 400.

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Question (35)

QN0020286

Which pair produces the maximum product for sum 40?

(A) 18 and 22
(B) 20 and 20
(C) 16 and 24
(D) 15 and 25

Correct Answer: B

Explanation:

Equal numbers give the largest product.

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Question (36)

QN0020287

The product of 20 and 20 is:

(A) 380
(B) 390
(C) 400
(D) 420

Correct Answer: C

Explanation:

20 × 20 = 400.

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Question (37)

QN0020288

A key observation in “The Largest Product” is that balancing numbers tends to:

(A) Minimise product
(B) Maximise product
(C) Keep product unchanged
(D) Make product zero

Correct Answer: B

Explanation:

More balanced numbers give a larger product.

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Question (38)

QN0020289

Which pair has the greater product?

(A) 2 and 18
(B) 10 and 10
(C) Both equal
(D) Cannot be determined

Correct Answer: B

Explanation:

10×10 = 100 is greater than 2×18 = 36.

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Question (39)

QN0020290

The product of two equal positive numbers with sum 50 is:

(A) 600
(B) 625
(C) 650
(D) 675

Correct Answer: B

Explanation:

The numbers are 25 and 25; 25×25 = 625.

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Question (40)

QN0020291

The main mathematical idea behind “The Largest Product” is that for a fixed sum, the product is greatest when the numbers are:

(A) Consecutive primes
(B) Equal or as close as possible
(C) Multiples of 5
(D) Odd numbers

Correct Answer: B

Explanation:

The product is maximized when the numbers are equal or nearly equal.

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Question (31)

The product of 9 and 10 is:

Explanation:

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Question (32)

Which pair with sum 32 gives the greatest product?

Explanation:

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Question (33)

The maximum product for sum 32 is:

Explanation:

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Question (34)

If two positive integers have sum 40, the maximum product is:

Explanation:

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Question (35)

Which pair produces the maximum product for sum 40?

Explanation:

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Question (36)

The product of 20 and 20 is:

Explanation:

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Question (37)

A key observation in “The Largest Product” is that balancing numbers tends to:

Explanation:

Link:

Question (38)

Which pair has the greater product?

Explanation:

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Question (39)

The product of two equal positive numbers with sum 50 is:

Explanation:

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Question (40)

The main mathematical idea behind “The Largest Product” is that for a fixed sum, the product is greatest when the numbers are:

Explanation:

Link:

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