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
Explanation
Statements 1 and 2 are correct.
Statement 1: 256/root2 = 2^8/2^0.5 = 2^7.5, so x = 15/2.
Statement 2: (1/3) x 50% of 150 = 25, greater than root576 = 24.
Statement 3: rank from bottom = 20 - 5 + 1 = 16, not 15.
Statement 4: (900 + 400)/30 = 43.33 kg, not 42.5.
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