EWT | Academic Question

Questions
Question (1)
QN0019272
A ratio is said to be in its simplest form when:
  • (A) Its terms are equal
  • (B) Its terms have no common factor other than 1
  • (C) Both terms are even
  • (D) The first term is greater than the second

Correct Answer: B
Explanation:

A ratio is in simplest form when the HCF of its terms is 1.

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Question (2)
QN0019273
To reduce a ratio to its simplest form, we divide both terms by their:
  • (A) LCM
  • (B) Product
  • (C) HCF
  • (D) Difference

Correct Answer: C
Explanation:

Divide both terms by their HCF.

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Question (3)
QN0019274
The simplest form of 60 : 40 is:
  • (A) 2 : 1
  • (B) 3 : 2
  • (C) 4 : 3
  • (D) 5 : 2

Correct Answer: B
Explanation:

Divide both terms by 20 to get 3 : 2.

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Question (4)
QN0019275
The HCF of 60 and 40 is:
  • (A) 10
  • (B) 15
  • (C) 20
  • (D) 30

Correct Answer: C
Explanation:

The greatest common factor of 60 and 40 is 20.

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Question (5)
QN0019276
The simplest form of 90 : 60 is:
  • (A) 2 : 1
  • (B) 3 : 2
  • (C) 4 : 3
  • (D) 5 : 2

Correct Answer: B
Explanation:

Divide both terms by 30.

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Question (6)
QN0019277
Which of the following ratios is already in simplest form?
  • (A) 12 : 18
  • (B) 14 : 21
  • (C) 7 : 11
  • (D) 15 : 25

Correct Answer: C
Explanation:

7 and 11 have no common factor other than 1.

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Question (7)
QN0019278
The ratio 72 : 96 reduces to:
  • (A) 2 : 3
  • (B) 3 : 4
  • (C) 4 : 5
  • (D) 5 : 6

Correct Answer: B
Explanation:

Divide both terms by 24.

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Question (8)
QN0019279
The HCF of 72 and 96 is:
  • (A) 12
  • (B) 18
  • (C) 24
  • (D) 36

Correct Answer: C
Explanation:

The HCF of 72 and 96 is 24.

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Question (9)
QN0019280
Which ratio has simplest form 1 : 1?
  • (A) 24 : 12
  • (B) 40 : 40
  • (C) 18 : 9
  • (D) 50 : 25

Correct Answer: B
Explanation:

Equal terms simplify to 1 : 1.

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Question (10)
QN0019281
A ratio in simplest form cannot be reduced further because:
  • (A) The terms are equal
  • (B) The terms are prime numbers only
  • (C) The HCF of its terms is 1
  • (D) The ratio is improper

Correct Answer: C
Explanation:

A ratio in simplest form has HCF equal to 1.

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