Paper 1 · Mathematical Reasoning and Aptitude
UGC NET 27 June 2025 Shift 2
Identify the correct statement:
- 1. If 2^x = 256 / root 2 ; then x = 15/2
- 2. One third of 50% of 150 is greater than root 576
- 3. In the merit list of an examination result, the rank of a student is 5th from the top among 20 students. His rank from the bottom of the list is at 15th position
- 4. In a class of 30 students, the average of weights of 20 students is 45 kg and the rest of students have an average weight of 40 kg. The average weight of the class is 42.5 kg
A1, 2 & 3 only
B2, 3 & 4 only
C1, 2 & 4 only
D1 & 2 only ✓ Correct
Correct answer: (D) 1 & 2 only — Statement 1 is true: 256 / root 2 = 2^8 / 2^(1/2) = 2^(15/2), so x = 15/2.
Explanation
★Statement 1 is true: 256 / root 2 = 2^8 / 2^(1/2) = 2^(15/2), so x = 15/2.
★Statement 2 is true: one third of 50% of 150 = one third of 75 = 25, and root 576 = 24, so 25 is greater than 24.
★Statement 3 is false: with rank 5th from top among 20, rank from bottom = 20 minus 5 plus 1 = 16, not 15.
★Statement 4 is false: class average = (20 times 45 plus 10 times 40) / 30 = 1300 / 30 = 43.33 kg, not 42.5 kg.
★Hence only 1 and 2 are correct.
Want more like this? Create a free account to practise a full test, track your progress, and get spaced-repetition review.
Shared by Mcqkart · via Mcqkart.in