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All questions of Fraction for UGC NET Exam

The expression (11.98 * 11.98 + 11.98x + 0.02 * 0.02) will be a perfect square for x equal to:
  • a)
    0.02
  • b)
    0.2
  • c)
    0.04
  • d)
    0.4
Correct answer is option 'C'. Can you explain this answer?

Sneha Kumar answered
Answer: Option C
Explanation:
Given expression = (11.98)2 + (0.02)2 + 11.98 x x.
For the given expression to be a perfect square, we must have
11.98 x x = 2 x 11.98 x 0.02 or x   = 0.04

3889 + 12.952 - ? = 3854.002
  • a)
    47.095
  • b)
    47.752
  • c)
    47.932
  • d)
    47.95
Correct answer is option 'D'. Can you explain this answer?

Ameya Ahuja answered
Answer: Option D
Explanation:
Let 3889 + 12.952 - x = 3854.002.
Then x = (3889 + 12.952) - 3854.002
   = 3901.952 - 3854.002
   = 47.95.

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