CAT Exam  >  CAT Questions  >  a)2.24b)1.24c)1.34d)2.34Correct answer is opt... Start Learning for Free
  • a)
    2.24
  • b)
    1.24
  • c)
    1.34
  • d)
    2.34
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
a)2.24b)1.24c)1.34d)2.34Correct answer is option 'D'. Can you explain ...
Step 1:
We know,
22 = 4 and 2.52 = 6.25

So, 5.4756 lies between 4 and 6.25.
Hence, √5.4756 lies between 2 and 2.5.
Step 2:
Try 2.34:
(2.34)2 = (2.3 + 0.04)2

= (2.3)2 + 2 × 2.3 × 0.04 + (0.04)2

= 5.29 + 0.184 + 0.0016
= 5.4756
Step 3:
Since (2.34)2 = 5.4756,

therefore √5.4756 = 2.34

Option (d) is correct.
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