Class 5 Exam > Class 5 Questions > If x, y and z are in proportion, then:a)x : y...
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If x, y and z are in proportion, then:
- a)x : y : : z : x;
- b)x : y : : y : z;
- c)x : y : : z : y;
- d)x : z : : y : z
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
If x, y and z are in proportion, then:a)x : y : : z : x;b)x : y : : y ...
In a proportion, the product of the first and third terms is equal to the product of the second and fourth terms.
Let's check each option:
(i) x:y::z:x → This doesn't follow the pattern of a proportion.
(ii) x:y::y:z → This follows the pattern of a proportion.
(iii) x:y::z:y → This doesn't follow the pattern of a proportion.
(iv) x:z::y:z → This doesn't follow the pattern of a proportion.
Therefore, the answer is (b).
Let's check each option:
(i) x:y::z:x → This doesn't follow the pattern of a proportion.
(ii) x:y::y:z → This follows the pattern of a proportion.
(iii) x:y::z:y → This doesn't follow the pattern of a proportion.
(iv) x:z::y:z → This doesn't follow the pattern of a proportion.
Therefore, the answer is (b).
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Community Answer
If x, y and z are in proportion, then:a)x : y : : z : x;b)x : y : : y ...
Explanation:
Proportional Relationship:
When three quantities x, y, and z are in proportion, it means that they can be expressed as a ratio of two equal fractions.
Expressing Proportion:
If x : y :: z : x, it means that the ratio of x to y is equal to the ratio of z to x.
Correct Answer:
Therefore, the correct answer is option B which states x : y : : y : z. This represents the proportional relationship between x, y, and z where the ratio of x to y is equal to the ratio of y to z.
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