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A suit, a trouser, and a shirt are to be stitched from a cloth. The cloth required for the suit is the average of cloth required for trousers and shirt. The length of the cloth for suit is 1.5 times the cloth required for the shirt. The length of cloth required for shirt is 5 times the even prime number. Which of the following is/are correct? A. Cloth required for trousers is 20 m B. Average length of cloth required for all the dresses = Cloth required for suit C. Initially, the cloth was 45 m D. Cloth required for shirt is 15 m

A suit, a trouser, and a shirt are to be stitched from a cloth. The cloth required for the suit is the average of cloth required for trousers and shirt. The length of the cloth for suit is 1.5 times the cloth required for the shirt. The length of cloth required for shirt is 5 times the even prime number. Which of the following is/are correct? A. Cloth required for trousers is 20 m B. Average length of cloth required for all the dresses = Cloth required for suit C. Initially, the cloth was 45 m D. Cloth required for shirt is 15 m Correct Answer A, B and C 

Given:

Cloth required for shirt = 5 × even prime number

Cloth required for suit = 1.5 × cloth required for shirt

Cloth required for suit = average of cloth required for trousers and shirt

Formula Used:

Average = Sum of values/Number of values

Calculation:

Only even prime number = 2

Cloth required for shirt = 5 × 2

⇒ 10 m

Cloth required for suit = 1.5 × 10

⇒ 15 m

Cloth required for suit = Average of cloth required for trousers and shirt/2

⇒ 15 = (Cloth required for trousers + Cloth required for shirt)/2

⇒ 30 = Cloth required for trousers + 10

⇒ Cloth required for trousers = 20 m

Average length of cloth required for all the dresses = (10 + 15 + 20)/3

⇒ 45/3

⇒ 15 m

Cloth required for shirt = 10 m

Cloth required for suit = 15 m

Cloth required for trousers = 20 m

Only option D is not correct.

∴ A, B, and C are correct.

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