All Exams  >   UGC NET  >   Mathematical Reasoning and Aptitude for UGC NET  >   All Questions

All questions of Fraction for UGC NET Exam

What decimal of an hour is a second ?
  • a)
    .0025
  • b)
    .0256
  • c)
    .00027
  • d)
    .000126
Correct answer is option 'C'. Can you explain this answer?

Aditya Chauhan answered
**Explanation:**

To find the decimal of an hour that represents a second, we need to divide 1 hour by the number of seconds in an hour.

**Step 1: Convert 1 hour to seconds**

We know that there are 60 minutes in an hour and 60 seconds in a minute. So, to convert 1 hour to seconds, we multiply:

1 hour * 60 minutes/hour * 60 seconds/minute = 3600 seconds

**Step 2: Divide 1 by the number of seconds in an hour**

Now, we divide 1 by the number of seconds in an hour:

1 / 3600 = 0.000277778

**Step 3: Round the decimal to the nearest five decimal places**

Since the options provided are rounded to five decimal places, we need to round the decimal to match the options.

0.000277778 rounded to five decimal places is 0.00027

Therefore, the decimal of an hour that represents a second is 0.00027, which corresponds to option C.

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.

Chapter doubts & questions for Fraction - Mathematical Reasoning and Aptitude for UGC NET 2025 is part of UGC NET exam preparation. The chapters have been prepared according to the UGC NET exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for UGC NET 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

Chapter doubts & questions of Fraction - Mathematical Reasoning and Aptitude for UGC NET in English & Hindi are available as part of UGC NET exam. Download more important topics, notes, lectures and mock test series for UGC NET Exam by signing up for free.

Signup to see your scores go up within 7 days!

Study with 1000+ FREE Docs, Videos & Tests
10M+ students study on EduRev