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The sum is between
  • a)
    5.5 and 6
  • b)
    6 and 6.5
  • c)
    6.5 and 7
  • d)
    7 and 7.5
  • e)
    7.5 and 8
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The sum is betweena)5.5 and 6b)6 and 6.5c)6.5 and 7d)7 and 7.5e)7.5 a...
Given:
The sum  
To Find: The value of this sum lies between which of the 5 ranges given in the answer choices
Approach:
  1. To find which of the 5 ranges the sum lies in, we need to know the approximate value of the sum.
  2. To find the approximate value of the sum of the 2 terms, we will use the principles of estimation to first find the approximate value of √30 and of  11/5
Working out:
  • Further, note that 30 lies almost mid-way between 25 and 36.
Therefore,√30 will almost lie mid-way between 5 and 6
  • So, we can say that the value of √30 = 5.5 approximately
  • Finding the approximate value of the sum  
    • We’ve worked out above that the approximate value of:
  • So, the approximate value of their sum = 5.5 + 0.75 = 6.25
  • Getting to the answer
Looking at the answer choices, we see that the correct answer is Option B
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