PLD (Percentages / TSD)
Q1. What is the percentage increase in Ravi’s salary this year over last year?
Statement 1: Ravi’s salary last year was ₹50,000.
Statement 2: This year his salary is ₹57,500.
A) Statement 1 alone is sufficient
B) Statement 2 alone is sufficient
C) Both statements together are sufficient
D) Each statement alone is sufficient
E) Data is insufficient
Q2. What is the time taken to cover a distance of 120 km?
Statement 1: The average speed is 40 km/h.
Statement 2: The total travel time is 3 hours.
A) Statement 1 alone is sufficient
B) Statement 2 alone is sufficient
C) Both statements together are sufficient
D) Each statement alone is sufficient
E) Data is insufficient
Numbers (Odd/Even)
Q3. Is the number N even?
Statement 1: N = 2k + 1, where k is an integer.
Statement 2: N leaves a remainder of 1 when divided by 2.
A) Statement 1 alone is sufficient
B) Statement 2 alone is sufficient
C) Both statements together are sufficient
D) Each statement alone is sufficient
E) Data is insufficient
Q4. Is the product of three integers odd?
Statement 1: All three integers are odd.
Statement 2: One of the integers is even.
A) Statement 1 alone is sufficient
B) Statement 2 alone is sufficient
C) Both statements together are sufficient
D) Each statement alone is sufficient
E) Data is insufficient
Algebra (Inequalities)
Q5. Is x > 3?
Statement 1: 2x – 5 > 1
Statement 2: x² > 9
A) Statement 1 alone is sufficient
B) Statement 2 alone is sufficient
C) Both statements together are sufficient
D) Each statement alone is sufficient
E) Data is insufficient
Q6. Is x < y?
Statement 1: x – y < 0
Statement 2: x² < y²
A) Statement 1 alone is sufficient
B) Statement 2 alone is sufficient
C) Both statements together are sufficient
D) Each statement alone is sufficient
E) Data is insufficient
Ordering of Integers
Q7. Which of the three numbers a, b, and c is the greatest?
Statement 1: a > b and b > c
Statement 2: a – c > 0
A) Statement 1 alone is sufficient
B) Statement 2 alone is sufficient
C) Both statements together are sufficient
D) Each statement alone is sufficient
E) Data is insufficient
Q8. Are the integers a, b, and c in ascending order?
Statement 1: a < b and b < c
Statement 2: a < c and b is between a and c
A) Statement 1 alone is sufficient
B) Statement 2 alone is sufficient
C) Both statements together are sufficient
D) Each statement alone is sufficient
E) Data is insufficient
Answer key and explanations
| Q# | Topic | Your Answer | Reason |
|---|---|---|---|
| 1 | PLD (Percentage) | C | Need both old and new salary |
| 2 | PLD (Distance) | D | Each alone gives the time |
| 3 | Numbers (Even/Odd) | D | Each proves number is odd |
| 4 | Numbers (Product parity) | D | Each proves product parity definitively |
| 5 | Algebra (x > 3?) | A | Only first proves x > 3, second is ambiguous |
| 6 | Algebra (x < y?) | A | Only first is conclusive |
| 7 | Integer Order (max?) | A | First gives full ranking, second does not |
| 8 | Integer Order (ascending?) | D | Both alone confirm a < b < c |
PLD (Percentages / Linear / Distance)
Q1. What is the percentage increase in Ravi’s salary this year over last year?
Answer C: Explanation: Statement 1 gives Ravi’s old salary, but not the new one. Statement 2 gives the new salary, but not the old. Since the formula for percentage increase is (New – Old) / Old × 100, both values are needed. Hence, both statements together are sufficient.
Q2. What is the time taken to cover a distance of 120 km?
Answer D: Explanation: Statement 1 gives speed = 40 km/h, and distance is 120 km → time = 120 ÷ 40 = 3 hrs. Statement 2 directly gives time = 3 hrs. Each statement alone is sufficient.
Numbers (Odd/Even)
Q3. Is the number N even?
Answer D: Explanation: Statement 1 says N = 2k + 1, which defines an odd number. So N is not even → sufficient. Statement 2 says N leaves remainder 1 when divided by 2 → also defines odd number. Each statement alone is sufficient.
Q4. Is the product of three integers odd?
Answer D: Explanation: Statement 1: All three integers are odd → product must be odd. Statement 2: One integer is even → product must be even. Each alone gives definite Yes or No → both are independently sufficient.
Algebra (Inequalities)
Q5. Is x > 3?
Answer A: Explanation: Statement 1 gives 2x – 5 > 1 → 2x > 6 → x > 3. Directly answers the question. Statement 2 gives x² > 9 → x > 3 or x < –3 → not sufficient since x could be less than 3. So only statement 1 is sufficient.
Q6. Is x < y?
Answer A: Explanation: Statement 1 gives x – y < 0 → x < y → directly answers the question. Statement 2 gives x² < y², which can be true even if x > y (e.g., x = –2, y = –3) → not sufficient. So only statement 1 is sufficient.
Ordering of Integers
Q7. Which of the three numbers a, b, and c is the greatest?
Answer A: Explanation: Statement 1 gives a > b and b > c → a > b > c → a is the greatest. Statement 2 gives a > c only → b’s position is unknown. Only statement 1 is sufficient.
Q8. Are the integers a, b, and c in ascending order?
Answer D: Explanation: Statement 1 gives a < b < c → confirms ascending order. Statement 2 says a < c and b is between a and c → implies a < b < c → confirms order. Each alone is sufficient.
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