EWT | Academic Question

Questions
Question (21)
QN0020272
If two positive integers differ greatly while their sum remains fixed, their product generally:
  • (A) Increases
  • (B) Remains same
  • (C) Decreases
  • (D) Doubles

Correct Answer: C
Explanation:

Greater inequality reduces the product.

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Question (22)
QN0020273
Which pair with sum 26 gives the largest product?
  • (A) 12 and 14
  • (B) 13 and 13
  • (C) 10 and 16
  • (D) 9 and 17

Correct Answer: B
Explanation:

Equal numbers maximize the product.

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Question (23)
QN0020274
The largest product when the sum is 26 equals:
  • (A) 156
  • (B) 164
  • (C) 169
  • (D) 176

Correct Answer: C
Explanation:

13 × 13 = 169.

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Question (24)
QN0020275
For sum 28, which pair gives the maximum product?
  • (A) 13 and 15
  • (B) 12 and 16
  • (C) 14 and 14
  • (D) 11 and 17

Correct Answer: C
Explanation:

14 × 14 = 196.

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Question (25)
QN0020276
The product of 14 and 14 is:
  • (A) 186
  • (B) 192
  • (C) 196
  • (D) 198

Correct Answer: C
Explanation:

14 × 14 = 196.

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Question (26)
QN0020277
Which pair gives the largest product when the sum is 21?
  • (A) 10 and 11
  • (B) 9 and 12
  • (C) 8 and 13
  • (D) 7 and 14

Correct Answer: A
Explanation:

10 × 11 = 110.

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Question (27)
QN0020278
The largest product for sum 21 is:
  • (A) 108
  • (B) 109
  • (C) 110
  • (D) 111

Correct Answer: C
Explanation:

10 × 11 = 110.

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Question (28)
QN0020279
If the sum is an even number, the largest product is usually obtained when:
  • (A) Numbers differ by 1
  • (B) Numbers are equal
  • (C) One number is 1
  • (D) Both numbers are odd

Correct Answer: B
Explanation:

Equal numbers give the greatest product.

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Question (29)
QN0020280
If the sum is an odd number, the largest product is usually obtained when:
  • (A) Numbers differ by 1
  • (B) Numbers are equal
  • (C) One number is zero
  • (D) Numbers differ by 5

Correct Answer: A
Explanation:

The two numbers should be as close as possible.

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Question (30)
QN0020281
Which pair gives the largest product for sum 19?
  • (A) 8 and 11
  • (B) 9 and 10
  • (C) 7 and 12
  • (D) 6 and 13

Correct Answer: B
Explanation:

9 × 10 = 90.

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