Q1 · hard · AI-verified
Is the quadrilateral ABCD a rhombus?
Statement I: All sides of ABCD are equal.
Statement II: Diagonals of ABCD bisect each other at right angles.
- Both statements together are sufficient
- Either statement alone is sufficient
- Statement I alone is sufficient
- Statement II alone is sufficient
Q2 · hard · AI-verified
Is the average age of 5 students greater than 20 years?
Statement I: The sum of ages of all 5 students is 105 years.
Statement II: The oldest student is 25 years old and the youngest is 18 years old.
- Both statements together are sufficient
- Statement II alone is sufficient
- Neither statement alone nor both together are sufficient
- Statement I alone is sufficient
Q3 · hard · AI-verified
Is the two-digit number xy divisible by 3?
Statement I: x + y = 12
Statement II: The number xy is even
- Statement I alone is sufficient
- Statement II alone is sufficient
- Both statements together are sufficient
- Neither statement is sufficient
Q4 · hard · AI-verified
Is the integer n odd?
Statement I: n² + n is even.
Statement II: 3n + 1 is even.
- Statement II alone is sufficient
- Either statement alone is sufficient
- Both statements together are sufficient
- Statement I alone is sufficient
Q5 · hard · AI-verified
Is the three-digit number ABC (where A, B, C are digits) divisible by 6? Statement I: The number is divisible by 2. Statement II: A + B + C = 15.
- Statement I alone is sufficient
- Even both statements together are not sufficient
- Both statements together are sufficient but neither alone is sufficient
- Statement II alone is sufficient