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What is the cost of flooring the rectangular hall?
I. Length and Breadth of the hall are in the ratio of 3:2
II. Length of the hall is 48m and cost of flooring is Rs.850 per sq m.
III. Perimeter of the hall is 160m and cost of flooring is Rs.850 per sq.m
  • a)
    I and II
  • b)
    I and III
  • c)
    Only III
  • d)
    I and either II or III
  • e)
    Any two of three
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
What is the cost of flooring the rectangular hall?I. Length and Breadt...
From Statements I and II length 3x = 48 => x = 16m
length = 48m, Bredth = 32m, Area = 48*32
Cost of flooring = 48*32*850 = Rs. 1305600
From Statements II and III, l= 48m, b=32m
Cost of flooring = 48*32*850 = Rs. 1305600
From Statements I and III,
2(l+b) = 160
2(3x + 2x) = 160 x=16
length = 48m, Bredth = 32m, Area = 48*32
Cost of flooring = 48*32*850 = Rs. 1305600
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Most Upvoted Answer
What is the cost of flooring the rectangular hall?I. Length and Breadt...
We need to find the value of L and B so we can get the area. 
to find out the values of 2 variables, we need 2 equations. 
With 3rd statement alone we cannot find the values of L and B. Although we can get the addition of L+B value. 
We know only that value of L in statement 2. 
in statement 1, the ratio is given. But we don't know the exact value or the cost of flooring with this statement. Hence we cannot choose option d, because we can find the values of L and B with statements 2 and 3 itself. 
Hence e is the correct option.
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Community Answer
What is the cost of flooring the rectangular hall?I. Length and Breadt...
Given Information:
I. Length and Breadth of the hall are in the ratio of 3:2
II. Length of the hall is 48m and cost of flooring is Rs.850 per sq m.
III. Perimeter of the hall is 160m and cost of flooring is Rs.850 per sq m

Solution:

Statement I:
The ratio of length and breadth is 3:2, which means the length is 3x and the breadth is 2x. However, this information alone does not provide the exact values of length and breadth, so it is not sufficient to find the cost of flooring.

Statement II:
Given the length of the hall is 48m and the cost of flooring is Rs.850 per sq m. We can calculate the area of the hall using the formula Area = Length x Breadth. Since the breadth is not given, we cannot determine the cost of flooring from this statement alone.

Statement III:
Given the perimeter of the hall is 160m and the cost of flooring is Rs.850 per sq m. From the perimeter, we can find the length and breadth of the hall. However, we still need the exact values of length and breadth to calculate the cost of flooring.

Combining Statements II and III:
By using both statements II and III, we can determine the length and breadth of the hall. With these values, we can calculate the area of the hall and then find the cost of flooring. Therefore, the cost of flooring the rectangular hall can be determined by combining these two statements.
Therefore, the correct answer is option E) Any two of three.
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What is the cost of flooring the rectangular hall?I. Length and Breadth of the hall are in the ratio of 3:2II. Length of the hall is 48m and cost of flooring is Rs.850 per sq m.III. Perimeter of the hall is 160m and cost of flooring is Rs.850 per sq.ma)I and IIb)I and IIIc)Only IIId)I and either II or IIIe)Any two of threeCorrect answer is option 'E'. Can you explain this answer?
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